The power goes out as Sandra is trying to get dressed. If she has 1 white T-shirts and 19 colored T-shirts in her drawer, is it likely that she will pick a colored T-shirt in the dark? What is the probability of Sandra picking a colored T-shirt? Complete the explanation to explain your answers. Enter the probability as a simplified fraction.
Answers
Answer:
yes it is likely. the chances of her getting a colored shirt is 95% or 19/20
Related Questions
Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result. If her final answer was 36, what was her starting number?
(Answer due at 12:00 pm PDT)
Answers
Answer: I think its 39
Step-by-step explanation: I did the math
Jan's starting number was 10.
What are Numbers?A number is an arithmetic value used for representing the quantity and used in making calculations.
Given that Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result.
Let her original number be x
Therefore, {(2x +5 - 7)/3}² = 36
{(2x -2)/3}² = 36
(2x -2)/3 = 6
2x - 2 = 18
2x = 20
x = 10
Hence, Jan's starting number was 10.
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Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answers
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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2 lines. The first line runs rightward through points A, E, and B. The second line runs upward to the right through points D, E, and C. An acute angle is formed at E.
Point
is the vertex of the angle marked in the figure.
Answers
Point E is the vertex of the angle marked in the figure.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
The figure represented in the question is given below.
So the angle marked is the angle CEB.
From the definition of angle, it is clear that vertex is the point of the angle where two arms of the angles meet.
Two arms of the angle CEB are EC and EB.
The common point is E.
So E is the vertex.
Hence E is the vertex of the marked angle.
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Write 7/16 as a decimal and a percent.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
7/16
Step 02:
decimal:
7/16 = 0.4375
percent:
7/16 = 0.4375 * 100% = 43.75%
The answer is:
decimal: 0.4375
percent: 43.75%
a pizza parlor offers 16 different toppings. how many 5 topping pizzas are possible
Answers
Sorry if I’m wrong and I hope this helps <3
if the log↓b(a)=0, what is the value of a?
explain why log↓0 (3) and log↓1 (3) do not exist.
Answers
Answer:
1. a = 1
2. See explanation below.
Step-by-step explanation:
First Question
Given:
\(\displaystyle \large{\log_b a = 0}\)
Convert to exponential:
\(\displaystyle \large{\log_b a = c \to b^c = a}\)
Thus \(\displaystyle \large{\log_b a = 0 \to b^0 = a}\)
Evaluate:
\(\displaystyle \large{b^0 = a}\)
We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.
Solution:
\(\displaystyle \large{a = 1}\)
__________________________________________________________
Second Question
Given:
\(\displaystyle \large{log_0 3}\) and \(\displaystyle \large{\log_1 3}\)
Let’s convert to an equation:
\(\displaystyle \large{\log_0 3 = x}\) and \(\displaystyle \large{\log_1 3 = y}\)
The variables represent unknown values of logarithm.
Convert to exponential:
\(\displaystyle \large{0^x = 3}\) and \(\displaystyle \large{1^y = 3}\)
Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.
Hence, no solutions for x and y.
Find the value of x.
Answers
Answer:
x=65°
Step-by-step explanation:
Solution Given:
let the point having angle 115° be e.
and point having side containing a and c be f.
we have
∡bec+115°= 180° being linear pair
∡bec=180°-115°=65°
again
∡bec= ∡afc=65° being corresponding angle
again
∡afc=x°=65° being corresponding angle
if f(x) = 4x - 3 and g(x) = x + 4, find (f - g)(x)
Answers
Answer:
3x - 7
Step-by-step explanation:
This questions asks about the subtraction of functions. To find the answer, we can subtract the same way we would subtract polynomials.
Subtracting Expressions
First, set up the subtraction problem by taking the expression for f(x) and subtracting the expression equal to g(x) from it.
This looks like:
(4x - 3) - (x + 4)Next, distribute the negative to the second binomial
4x - 3 - x - 4Then, combine like terms
3x - 7Since we are not given a x-value, this is the final answer.
Solving for an X-Value
If you are given an x-value, the best way to solve the equation is to first solve each function and then subtract.
For example, using the same rules for each function let's solve (f-g)(2).
First, solve for f(2) and g(2)
f(2) = 5g(2) = 6Then, subtract the 2 values
5 - 6 = -1I will give brainliest please help
Answers
Answer:
2.5
Step-by-step explanation:
\( \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5\)
The sum of a number and 12
Answers
Answer:
the sum of 6+6 is 12
Step-by-step explanation:
so the sum of the number 6+6 is 12 plz like and rate
Consider the system of equations.
x-3y = 9
1/5 x - 2y = -1
Which number can be multiplied by the second equation to eliminate the x-variable when the equations are added
together?
Answers
Given:
The system of equations:
\(x-3y=9\)
\(\dfrac{1}{5}x-2y=-1\)
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
\(x-3y=9\) ...(i)
\(\dfrac{1}{5}x-2y=-1\) ...(ii)
The coefficient of x in (i) and (ii) are 1 and \(\dfrac{1}{5}\) respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert \(\dfrac{1}{5}\) into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
\(-x+10y=5\) ...(iii)
On adding (i) and (iii), we get
\(7y=14\)
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle
can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points
may not apply to the scenario)?
Answers
Answer:
The inequality representing the time taken by the entire cycle is:
\(4x+y\leq 3\)
Step-by-step explanation:
The time taken to complete one cycle of a manufacturing machine is no longer than 3 minutes.
It is provided that the manufacturing machine has two processes.
One of them is repeated 4 times and the second only once.
Assume that the variable x represents the time taken to complete the first process once.
Then the time taken to complete the first process 4 times would be, 4x.
Also assume that the variable y represents the time taken to complete the second process.
Then the inequality representing the time taken by the entire cycle is:
\(4x+y\leq 3\)
Consider the graph below representing the above equation.
Answer: D
Step-by-step explanation:
scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. which of the following is true to solve this problem?
Answers
The lowest score for the normally distribution with mean 72 and standard deviation 8 is equal to 82.
Mean of the normally distributed data 'μ' = 72
Standard deviation 'σ ' = 8
Lowest score with 10% ( 90percentile )
z = InvNorm(0.90)
= 1.28
Let 'X' be the lowest score for the normal distribution
z = ( X - μ ) / σ
Substitute the values we get,
⇒ 1.28 = ( X - 72 ) / 8
⇒ X - 72 = 1.28 × 8
⇒ X = 10.24 + 72
⇒ X = 82.24
⇒ X = 82 ( round to an integer )
Therefore, the lowest score for normally distribution which will place manage on 90th percentile with given mean and standard deviation is equal to 82.
The above question is incomplete, the complete question is:
Scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. Your answer is Please round to an integer number.
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how do I do this question
Answers
The value of x can be determined as,
\(\begin{gathered} \tan 39^{\circ}=\frac{x}{15} \\ x=15\tan 39^{\circ} \\ x=12.15 \end{gathered}\)Thus, the required value of x is 12.15.
Which numbers are irrational?
Select each correct answer.
15−−√
21−−√
−9√
14√
Answers
Answer:
Step-by-step explanation:
square root of 15 is 3.8=irrational
square root of 21 is 4.58=irrational
square root of -9 is doesn't have a real square root
square root of 14 is 3.7 =irrational
Learning Task No.2
A. Find the missing terms and write the rules.
1. 5,6,8,15
2. 18,20,24_38
3. 14, 17, 20,23,
4. 24, 30, 36, 42,
5. 1, 10, 100,
Answers
Answer:
See Explanation
Step-by-step explanation:
Required
Complete the term and identify the rule
\((a)\ 5, 6, 8, [], 15\)
We have:
\(5 + 1 = 6\)
\(6 + 2 = 8\)
\(8 + 3 = 11\) --- Missing term
\(11 + 4 = 15\)
The rule is:
Add current term to the position of term
i.e.
\(T_{n+1} = T_n + n\)
\((b)\ 18, 20, 24, [], 38\)
We have:
\(18 + 2*1 = 20\)
\(20 + 2*2 = 24\)
\(24 + 2 * 3 = 30\) --- Missing term
\(30 + 2 * 4 = 38\)
The rule is:
Add current term to twice the position of term
i.e.
\(T_{n+1} = T_n + 2 *n\)
\((3)\ 14, 17, 20, 23, []\)
We have:
\(14 + 3 = 17\)
\(17 + 3 =20\)
\(20 + 3 = 23\)
\(23 + 3 = 26\) --- Missing term
The rule is: Add 3
i.e.
\(T_{n+1} = T_n + 3\)
\((4)\ 24, 30, 36, 42, []\)
We have:
\(24 + 6 = 30\)
\(30 + 6 = 36\)
\(36 + 6 = 42\)
\(42 + 6 = 48\) --- Missing term
The rule is: Add 6
i.e.
\(T_{n+1} = T_n + 6\)
\((5)\ 1, 10, 100\)
We have:
\(10^0 = 1\)
\(10^1 = 10\)
\(10^2 = 100\)
\(10^3 = 1000\) -- Missing term
The rule is: 10 to the power of current position
i.e. \(T_n = 10^n\)
4. Mrs. James bought a tv for $999, but she
received a discount of 20%. What is the price
of the tv?
A. $1798.20
B. $1198.80
C. $199.80
D. $799.20
Answers
Answer:
BStep-by-step explanation:
She bought the tv for 80% of the original price. Therefore the original price is higher than $999. Now you can cancel options C and D because they are smaller than $999.
so the original price of the tv is 120% of $999 is $ 1198.80
Therefore the correct option is option B
Help Will Mark Brianliest
Answers
Answer:
p is perpendicular to n that is the answer
Answer:
p is perpendicular to n
Step-by-step explanation:
hope this helps :)
Find all the solutions
1. 3x^2+2=-62
2.-5x^2-3=0
Please show the work, I would really appreciate the help
Answers
Answer:
..
Step-by-step explanation:
shown in figure see there
...
Convert f ( x ) = 48 ( 1.02 ) x to the form f ( x ) = a e k x . Round k to 4 decimal places.
Answers
The exponential function can be rewritten as:
f(x) = 48*e^(0.0198*x)
How to transform the function?Here we start with the exponential function:
f(x) = 48*(1.02)^x
And we want to write this in the general form:
f(x) =a*e^(kx)
Notice that we can write the second form as:
f(x) = a*[e^k]^x
So, comparing this with the given exponential, we will get:
a = 48
e^k = 1.02
Apply the natural logarithm in both sides:
ln(e^k) = ln(1.02)
k*ln(e) = ln(1.02)
k = ln(1.02) = 0.0198
Then the exponential function is:
f(x) = 48*e^(0.0198*x)
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Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight ine equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm )2
Pollen forecast OTC decongestant sales (dollars)
14 $101
19 $89
13 $48
6 $21
9 $47
The store manager calculates the regression equation for the data as 5.514x-6.073.
Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places SE=______.
Answers
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
The triangles below are similar. Find the value of X. The image is not to scale
Answers
Answer:
x is 25
Step-by-step explanation:
There is a common ratio between the sides. In this case, 35/28 is 1.25. This is the number you have to multiply to 20. 1.25 * 20 = 25.
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the likelihood of a yellow marble being selected on the first draw?
likely
unlikely
even chance
certain
Answers
Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.
What is Probability?Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.
In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.
The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:
likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles
So, in this case, the likelihood of selecting a yellow marble on the first draw is:
likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3
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343 divided by 2,013?
Answers
Step-by-step explanation:
0.17039244908......
when 343 is divided by 2013
the answer is
5.86888....
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
Answers
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.
Answers
Answer:
1•7
Step-by-step explanation:
Answer Accorfing ti te pasaje we no get:
The highly temperature one day was -3 the low temperature was -7 what was the difference
Answers
what would be your first step in completely factoring 6a^2-15a+6
Answers
The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).
In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:
3(2a^2 - 5a + 2)
Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.
The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:
3(2a - 1)(a - 2)
Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
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Which of the following is a polynomial?
OA. 5+x2²/X
OB. √x+2x-1
OC. 8x²+x+3
OD. 7x
Answers
Answer:
C. 8x²+x+3.
Step-by-step explanation:
A and B are not polynomials as they contain a division (A) and a square root (B).
D is a monomial ( just one term).
oc.8x²+x+3
Step-by-step explanation:
Which of the following is a polynomial?
OA. 5+x2²/X
OB. √x+2x-1
OC. 8x²+x+3
OD. 7x
You attend a working dinner with four other colleagues. Since alcohol
is not reimbursed by your company. your party receives two separate
bills: One for food ($156.65) and one for alcohol ($49.50). Each bill
needs to be split 5 ways.
How much do you owe for each bill?
$3.13 for food and $9.90 for alcohol
1.1
1.1
$31.33 for food and $0.99 for alcohol
1.1
$31.33 for food and $99.0 for alcohol
1.1
1.1
$31.33 for food and $9.90 for alcohol
1.1
Answers
Answer:
that is right because the bill is like a money service