21)
22)
Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 12 adult smartphone users are randomly selected, find the probability that fewer than 5 of them
Answers
The probability that fewer than 5 of them use the smartphone in meetings or classes is given as follows:
P(X < 5) = 0.2802 = 28.02%.
How to obtain the probability with the binomial distribution?The mass probability formula is defined by the equation presented as follows:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters, along with their meaning, are presented as follows:
n is the fixed number of independent trials.p is the constant probability of a success on a single independent trial of the experiment.The parameter values for this problem are given as follows:
p = 0.46, n = 12.
The probability that less than 5 of them use the phone is given as follows:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).
Using a calculator with the parameters above, the probability is:
P(X < 5) = 0.2802 = 28.02%.
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Related Questions
Consider △GHJ in the figure below.
The perpendicular bisectors of its sides are KN, LN, and MN. They meet at a single point N . (In other words, N is the circumcenter of △GHJ.)
Suppose LN = 48, GJ = 80, and GN = 102
Find HN, LJ, and GK .
Note that the figure is not drawn to scale.
Answers
Answer:
HN =102
LJ =90
GK = 40
Step-by-step explanation:
5) If I have a population of an unknown mean, what is the 95% confidence interval estimate of the population mean if:A random sample of size 36 gives a mean of 50 and a standard deviation of 12.A random sample of size 49 gives a mean of 50 and a standard deviation of 12.Interpret the confidence intervals obtained in parts a and b. In other words, write an English sentence on what that those confidence intervals mean.
Answers
For part a, CI = (46.08, 53.92); For part b, CI = (46.64, 53.36). The confidence intervals CI obtained in parts a and b mean that we are 95% confident that the true population mean lies between 46.08 and 53.92 for part a, and between 46.64 and 53.36 for part b.
The 95% confidence interval estimate of the population mean can be calculated using the following formula:
CI = Xbar ± Z * (s/√n)
Where Xbar is the sample mean, Z is the Z-score for the desired level of confidence, s is the sample standard deviation, and n is the sample size.
For part a, we have a sample size of 36, a sample mean of 50, and a sample standard deviation of 12. Plugging these values into the formula, we get:
CI = 50 ± 1.96 * (12/√36)
CI = 50 ± 1.96 * (12/6)
CI = 50 ± 3.92
CI = (46.08, 53.92)
For part b, we have a sample size of 49, a sample mean of 50, and a sample standard deviation of 12. Plugging these values into the formula, we get:
CI = 50 ± 1.96 * (12/√49)
CI = 50 ± 1.96 * (12/7)
CI = 50 ± 3.36
CI = (46.64, 53.36)
It means if we were to take many random samples of size 36 and 49 from the population and calculate the 95% confidence interval for each, we would expect 95% of those intervals to contain the true population mean.
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Match the number on the net with the appropriate vertex on the prism.
Answers
Answer:
1. D
2. A
3. H
4. C
5. G
Step-by-step explanation:
can someone please help
Answers
Answer:
I think it's 0,4 for your answer I'm sorry if you get it wrong
Which statement is true? Question 5 options: A) |–13| = 13 B) – |13| = 13 C) |13| = – 13 D) – |–13| = 13
Answers
Step-by-step explanation:
|-13| = 13
13 = 13 Option A is true
-|13| = 13
-13 = 13
-13 ≠ 13 Option B isn't true
|13| = -13
13 = -13
13 ≠ -13 Option C isn't true
-|-13| = 13
-13 = 13
-13 ≠ 13 Option D isn't true
please help asap!!!!!
Answers
Answer:
d is the question
Step-by-step explanation:
Select all of the scenarios below that correctly identify the independent variable. A. Charlie gets paid by the hour. The number of hours he works is the independent variable. B. Oscar likes to go for drives in the car. The cost of the trip increases as the distance he travels increases. The distance is the independent variable. C. How much Caleb weighs is relative to the amount he eats. The amount he weighs is the independent variable. D. The more Mark practices his golf swing, the better he becomes at hitting the ball. The amount of time he practices is the independent variable.
Answers
Independent varible are variable that dosent depend on any factor that afftect the scenarios.
the scenarios that identify the independent variable.
A. Charlie gets paid by the hour. The number of hours he works is the independent variable.
B. Oscar likes to go for drives in the car. The cost of the trip increases as the distance he travels increases. The distance is the independent variable.
D. The more Mark practices his golf swing, the better he becomes at hitting the ball. The amount of time he practices is the independent variable.
To make tea, use 1
6
6
1
teaspoon of tea per ounce of water plus a teaspoon for the pot. Use the inverse to find the number of ounces of water needed if 7 teaspoons of tea are used.
Answers
Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:
1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon
Multiplying both sides by the denominator on the right side gives:
x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon
Simplifying the right side gives:
x + 1 = 42 ounces
Subtracting 1 from both sides gives:
x = 41 ounces
Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.
In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.
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Unit rate of 100 calories in 5 crackers
Answers
Answer:
20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
Samantha had 640 beads and Holly had 761 beads at first. They mixed their beads together and used 276 beads for a craft project. They then packed the remaining beads equally into 25 packets. How many beads were there in each packet?
Answers
Answer:
45 beads in each packet
Step-by-step explanation:
first add
640 + 761 = 1,401
then subtract
1,401 - 276 = 1,125
and last, divide.
1,125 ➗ 25 = 45
The long jump pit was recently rebuilt to make it level with the runway. volunteers provided pieces of wood to frame in the pit. each piece of wood provided measures 6 ft, which is approximately 1.8 to 8 7. determine the amount of wood, in meters, needed to rebuild the frame.
Answers
The amount of wood, in meters, needed to rebuild the frame is 1.8288 m.
What is amount and example?
amount to (something) : to produce (a total) when added together. The bill amounted to 10 dollars. They have debts amounting to thousands of dollars.
To calculate the amount of wood, in meters, needed to rebuild the frame, we can use the following formula:
wood (m) = (wood (ft) x 0.3048) / 6
Since each piece of wood provided measures 6 ft (approximately 1.8 to 8.7), we can calculate the amount of wood, in meters, needed to rebuild the frame as follows:
wood (m) = (6 ft x 0.3048) / 6
wood (m) = 1.8288 m
Therefore, the amount of wood, in meters, needed to rebuild the frame is 1.8288 m.
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Which recurrence relation describes a function that has the same asymptotic growth as , defined by the recurrence relation: Group of answer choices
Answers
The recurrence relation that describes a function with the same asymptotic growth as f(n), defined by the recurrence relation, is f(n) = f(n-1) + g(n), where g(n) is any function that grows slower than or at the same rate as f(n).
In this recurrence relation, f(n) represents the function being described, f(n-1) represents the previous term in the sequence, and g(n) represents the additional term being added at each step.
By choosing a g(n) that grows slower than or at the same rate as f(n), we ensure that the additional term does not significantly affect the overall growth of the function.
This results in both f(n) and the given recurrence relation having the same asymptotic growth.
It is important to note that the exact form of g(n) is not specified in the question, so there are multiple possible answers that would satisfy the condition of having the same asymptotic growth.
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Determine the measure of the angles.
m<1 =
m<2 =
m<3 =
Answers
Answer:
58° , 122° , 29°
Step-by-step explanation:
The triangle on the left has 2 congruent sides thus is isosceles.
Then the 2 base angles are congruent, so
∠ 1 = \(\frac{180-64}{2}\) = \(\frac{116}{2}\) = 58°
∠ 2 and 58° are adjacent angles and supplementary, that is
∠ 2 + 58° = 180° ( subtract 58° from both sides )
∠ 2 = 122°
The triangle on the right has 2 congruent sides and is isosceles
Then the 2 base angles are congruent, so
∠ 3 = \(\frac{180-122}{2}\) = \(\frac{58}{2}\) = 29°
Tickets for the Valentine Dance cost $3 per person or $5 per couple. The school ticket sales totaled $824 and there were 10 less couple tickets sold than 4 times the number of single tickets.
Answers
Estimate 8% of 40 show your thinking
Answers
Answer:
3.2
Step-by-step explanation:
Simplify the expression.
Just divide the numbers.
Let A be a 4 X 5 matrix: If a1, a2, and a4 are linearly independent and a3 = a1 + 4a2, a5 -2a1 a2 + 3a4 determine the reduced row echelon form of A
Answers
The reduced row echelon form of the \(4\)×\(5\) matrix is
\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&1&4\\ 0&0&0&0&0\end{array}\right]\)
What is reduced row echelon form ?
When all of a matrix's pivots equal 1, and the pivots are the only non-zero elements in the fundamental columns, we say that the matrix is in reduced row echelon form.
Given that \(a_{1} ,a_{2}\) and \(a_{3}\) will be the independent vector, lets select them as the basis vector.
\(a_{1} =\left[\begin{array}{c}1&0&0\\0\end{array}\right]\) , \(a_{0} =\left[\begin{array}{c}0&1&0\\0\end{array}\right]\)
\(a_{3}= a_{1} +5a_{2}\)
= \(\left[\begin{array}{c}1&0&0\\0\end{array}\right]+5\left[\begin{array}{c}0&1&0\\0\end{array}\right]\)
=\(\left[\begin{array}{c}1&5&0\\0\end{array}\right]\)
\(a_{4}\) = \(\left[\begin{array}{c}0&0&0\\1\end{array}\right]\) and
\(a_{5} = -3a_{1} -a_{2} +4a_{4}\)
= \(-3\left[\begin{array}{c}1&0&0\\0\end{array}\right]-\left[\begin{array}{c}0&1&0\\0\end{array}\right]+4\left[\begin{array}{c}0&0&0\\1\end{array}\right]\)
= \(\left[\begin{array}{c}-3&-1&0\\4\end{array}\right]\)
Hence the \(4\)×\(5\) matrix will be in the form
\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&0&0\\ 0&0&0&1&4\end{array}\right]\)
Since the one complete row is already zero, hence for calculating the row reduced echelon form we just need to replace the 3rd and 4th row.
\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&1&4\\ 0&0&0&0&0\end{array}\right]\)
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The reduced row echelon form of the4 × 5matrix is
\(\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&1&4\\0&0&0&0&0\end{array}\right]\)
What is reduced row echelon form ?When all of a matrix's pivots equal 1, and the pivots are the only non-zero elements in the fundamental columns, we say that the matrix is in reduced row echelon form.
Given that a1,a0,and a3 will be the independent vector, lets select them as the basis vector.
\(a_{1}=\left[\begin{array}{c}1&0&0&0\end{array}\right]\), \(a_{0}=\left[\begin{array}{c}0&1&0&0\end{array}\right]\)
a3 = a1 + 5a0
\(\left[\begin{array}{c}1&0&0&0\end{array}\right]+5\left[\begin{array}{c}0&1&0&0\end{array}\right]\)
\(a_{4}= \left[\begin{array}{c}0&0&0&1\end{array}\right]\)
a5 = -3a1 - a2 + 4a4
\(-3\left[\begin{array}{c}1&0&0&0\end{array}\right]-\left[\begin{array}{c}0&1&0&0\end{array}\right]+4 \left[\begin{array}{c}0&0&0&1\end{array}\right]\)
\(=\left[\begin{array}{c}-3&-1&0&4\end{array}\right]\)
Hence the × matrix will be in the form
\(=\left[\begin{array}{ccccc}1&0&1&0&-3\\0&1&5&0&-1\\0&0&0&0&0\\0&0&0&1&4\end{array}\right]\)
Since the one complete row is already zero, hence for calculating the row reduced echelon form we just need to replace the 3rd and 4th row.
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classify each structure according to its functional class. compound a contains a carbonyl bonded to two alkyl groups. compound b contains an oxygen bonded to two alkyl groups. compound c contains a carbonyl bonded to propyl and n h c h 3. compound d is a nitrogen bonded to three alkyl groups.
Answers
The classification of the compounds according to their functional class: A | Aldehyde
B | Alcohol
C | Ketone
D | Amine
Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.
They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.
Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.
Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.
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Tom wants to rent a truck for two days and pay no more than $300. How far can he drive the truck if the truck rental cost $49 a day plus $0.40 a mile?
A) 490
B) 505
C) 520
D) 535
Answers
Answer:
B
Step-by-step explanation:
for 2 days it's 98
then 300-90=202
202÷0.40=505
please help me in this question.(law of indices)
Answers
Answer:
X^5
Step-by-step explanation:
Note: 1/X^-3 = 1÷X^-3=1÷ (1÷ X^3)= 1×X^3=X^3
A PE teacher divides the class evenly for
game of kickball. If the likelihood of being on
Team Eagles and Team Jaguars is the same,
then describe a simulation that could represent
the team assignment for next 10 students in PE
class.
PLEASE HELP QUICKLY
Answers
Answer:
it would be 5
Step-by-step explanation:
which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to justify the claim? responses a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a manager of a water treatment plant would like to investigate whether there is a relat
Answers
a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
b) A Chi-Square goodness of fit test.
a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.
In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.
Hence, we will use chi-square goodness of fit test for this case.
b) A Chi-Square goodness of fit test.
Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.
A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.
The tourist company randomly sampled 200 individuals entering the park.
The proportion of individuals within each group as claimed by the amusement park is given.
Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.
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The equation y+6=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
o y = 1/2x-3
Oy=}x+9
yafe- ར ་
y=3x+3
Answers
y=3x-33
8 in
10 in
8 in
10 in
10 in
8 in
10 in
8 in
10 in
8 in
10 in
What is the surface area of the solid?
O A. 220 square inches
O B. 260 square inches
O c. 210 square inches
D. 420 square inches
SUBMIT
Answers
Answer:
Step-by-step explanation:
Surface area of the 4 sided pyramid = base area + 4 time each triangle area
= (s²) + 4 × 1/2(b)(h)
= (10)(10) + 4 × (1/2)(10)(8)
= 100 + 4(1/2)(10)(8)
= 100 + 160
= 260
Answer: 260 square inches
A pretzel recipe calls for 3.325
cups of flour. If the recipe makes
9.5 pretzels, how many cups of
flour are need for each pretzel?
Answers
Answer: 0.35
Step-by-step explanation:
3.325 divided by 9.5 = 0.35
PLS HELP ASAP! 20 PT+Brainliest
Answers
Answer:
The graph of a line with 1/2 is only half of 1/4 the line with 4 is greater and way bigger than just half of 1/4.
dayna writes the integers 1,2,3,4,5,6,7,8,9,10,11,12 on a chalkboard, then she erases the integers from 1 through 6, as well as their multiplicative inverse $\mod{13}$. what is the only integer dayna does not erase?
Answers
Dayna erases the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11, and leaves only the integer 12 on the chalkboard, by the concept of multiplicative inverse and by using the extended Euclidean algorithm.
The integers from 1 through 6, as well as their multiplicative inverse \($\mod{13}$\), have been erased from the integers 1 through 12. We need to find the only integer that Dayna did not erase. We can find the multiplicative inverse of an integer a modulo 13 by using the extended Euclidean algorithm.
The integers from 1 through 6 are 1, 2, 3, 4, 5, and 6. We need to find their multiplicative inverses modulo 13.
The multiplicative inverse of 1 modulo 13 is 1, since
\($1 \times 1 \equiv 1 \pmod{13}$\).
The multiplicative inverse of 2 modulo 13 is 7, since
\($2 \times 7 \equiv 1 \pmod{13}$\).
The multiplicative inverse of 3 modulo 13 is 9, since
\($3 \times 9 \equiv 1 \pmod{13}$\).
The multiplicative inverse of 4 modulo 13 is 10, since
\($4 \times 10 \equiv 1 \pmod{13}$\).
The multiplicative inverse of 5 modulo 13 is 8, since
\($5 \times 8 \equiv 1 \pmod{13}$\).
The multiplicative inverse of 6 modulo 13 is 11, since
\($6 \times 11 \equiv 1 \pmod{13}$\).
Therefore, the only integer that Dayna does not erase is 12.
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32. Write a rule to represents the
function
(2, 10), (4, 20), (5, 25), (7, 35), (9, 45)
Answers
y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D
Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope
Answers
A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.
A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.
Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).
Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.
Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.
Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.
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Commercial grade HNO3 solutions in water are
typically 70% (by mass). The solution has a density of 1.42 g/mL.
How many grams of HNO3 are in 80 mL of this
solution?
A.56 g
B. 80 g
C. 39 g
D. 162 g
Answers
The grams of HNO3 in 80 mL of the 70% HNO3 solution is approximately 80 g.
To calculate the grams of HNO3 in 80 mL of a 70% (by mass) HNO3 solution, we can follow these steps:
Step 1: Convert the volume of the solution to grams.
Density = 1.42 g/mL
Volume of solution = 80 mL
Mass of solution = Volume of solution × Density = 80 mL × 1.42 g/mL
= 113.6 g
Step 2: Calculate the mass of HNO3 in the solution.
Percentage concentration of HNO3 = 70%
Mass of HNO3 = Mass of solution × Percentage concentration
= 113.6 g × 70%
= 79.52 g
Step 3: Round the answer to the nearest whole number.
Rounding 79.52 g to the nearest whole number, we get 80 g.
Therefore: The grams of HNO3 in 80 mL of the 70% HNO3 solution is approximately 80 g.
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A house on the market was valued at $245,000. After several years, the value increased by 9%. By how much did the house's value increase in dollars? What isthe current value of the house? Increase in value:Current house value:
Answers
We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:
\(245000\times\frac{9}{100}=22050\)Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:
\(245000+22050=267050\)Therefore, the current value of the house is $267050.