Answer:The answer is a.
Step-by-step explanation:I hope this helps.
Solve for n.
11(n – 1) + 35 = 3n
n = –6
n = –3
n = 3
n = 6
Answer:
\(n = - 3\)
Second answer is correct
Step-by-step explanation:
\(11(n - 1) + 35 = 3n \\ 11n - 11 + 35 = 3n \\ 11n - 3n = 11 - 35 \\ 8n = - 24 \\ \frac{8n}{8} = \frac{ - 24}{8} \\ n = - 3\)
hope this helps
brainliest appreciated
good luck! have a nice day!
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Jamie has 3 dogs, 4 cats, 2 lizards and 2 sisters. He wants to find the
percent of his pets that are lizards. Classify each statement as true or
false based on the information. *
True
False
The number of sisters is not
needed to find the percent of
pets that are lizards.
O
To find the percent of pets
that are lizards, 2 is the part
and 11 is the whole
ооо.
To find the percent of pets
that are lizards, 2 is the part
and 9 is the whole
50 points! Please help fast. I will mark brainliest. Random answers will be reported
Answer:
-2,-4
Step-by-step explanation:
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
what is the volume of the cube shown?
The volume of the cube shown can be found to be 132. 65 inch ³ .
How to find the volume of a cube ?To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.
The formula for the volume of a cube is:
= Side x Side x Side
The side is 5. 1 inch so the volume is:
= 5. 1 x 5 .1 x 5. 1
= 132. 65 inch ³
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helpppp Solve for the value of x and y using method of elimination.
7x+2y=24
8x+27=30 show ur work
Answer:
\(\sf x=\frac{3}{8}\)
\(\sf \:y=\frac{171}{16}\)
Step-by-step explanation:
\(\sf 7x+2y=24\\8x+27=30\)
\(\sf 56x+16y=192\\ 8x=3\)
\(\sf 56x+16y=192\\56x=21\)
\(\sf 16y=171\)
\(\sf y=\frac{171}{16}\)
\(\sf 56x+16\times \frac{171}{16} =192\)
\(\sf x=\frac{3}{8}\)
* Hope this helps!
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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1. Albert Einstein is driving down a country road at the speed of light. Just kidding. He's
actually going an average of 70 miles an hour. He started driving at 3 PM exactly and
arrived at his destination at 5:27 PM. If we need to calculate the distance from his starting
point to his destination, our answer will be in which units?
A. Miles
B. Hours
C. Miles per hour
D. Kilometers
Answer:
C. Miles per hour
Step-by-step explanation:
Answer:
c. miles per hour
Step-by-step explanation:
because he was driving in miles an hour
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Identify the sampling technique used for the following study.
A statistics student interviews the last fifteen attendees to arrive.
A) Census
B) Stratified Sample
C) Systematic Sampling
D) Simple Random Sampling
E) Cluster Sampling
F) Convenience Sampling
Answer:
F) Convenience Sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
A statistics student interviews the last fifteen attendees to arrive.
Conveniently available, so convenience, and the correct answer is given by option F.
the probability of an airline flight arriving on time at a certain airport is 84%, use a normal approximate to find the probability that more than 240 in a random sample of 400 commercial airline flights at the airport will arrive on time
The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.
Given:
Probability of an airline flight arriving on time (success): p = 0.84
Number of trials (flights): n = 400
Number of flights arriving on time (successes): x > 240
First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:
Mean (μ) = n * p
Standard Deviation (σ) = √(n * p * (1 - p))
μ = 400 * 0.84 = 336
σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33
Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.
To use the normal distribution, we need to standardize the value of 240:
z = (x - μ) / σ
z = (240 - 336) / 7.33
z ≈ -13.13
Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:
P(x > 240) ≈ P(z > -13.13)
From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).
Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
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Human Resource Consulting (HRC) surveyed a random sample of 68 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The Minnesota Department of Labor reports that historically the mean deductible amount per employee is $499 with a standard deviation of $80.
What is the chance HRC finds a sample mean between $477 and $527?
Calculate the likelihood that the sample mean is between $492 and $512.
part a.
There is a 49.1% chance that HRC finds a sample mean between $477 and $527.
part b.
There is a 20.9% chance that the sample mean falls between $492 and $512.
How do we calculate?The standard error (SE) of the sample mean.
SE = σ / √(n)
σ = $80 and n = 68.
SE = 80 / √(68)
z1 = (X1 - μ) / SE
z2 = (X2 - μ) / SE
for first scenario:
X1 = $477, X2 = $527, and μ = $499.
z1 = (477 - 499) / SE
z2 = (527 - 499) / SE
For the range $477 to $527:
z1 = (477 - 499) / SE
z2 = (527 - 499) / SE
z1 = -0.275
z2 = 0.35
Probability 1 = 0.4909 = 49.1%
We have a 49.1% chance that HRC finds a sample mean between $477 and $527.
For the second scenario
X1 = $492, X2 = $512, and μ = $499.
z1 = (492 - 499) / Standard Error
z2 = (512 - 499) / SE
We have a 20.9% chance that the sample mean falls between $492 and $512.
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solve pls brainliest
Answer: 0.2
happy learning
Select the correct answer from each drop-down menu. The options are: The ratio of the heights is 1 : 2.5 1 : 5 1 : 10 1 : 25 The ratio of the surface areas is 1 : 5 1 : 10 1 : 25 1 : 125 The ratio of the volumes is 1 : 5 1 : 10 1 : 25 1 : 125.
Using proportions, it is found that:
The ratio of heights is of 1:5.The ratio of surface areas is of 1:25.The ratio of volumes is of 1:125.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The heights are measured in units, hence the ratio is:
\(r = \frac{5}{25} = \frac{1}{5}\)
The surface areas are measured in units squared, hence the ratio is:
(1:5)² = 1:25.
The volumes are measured in cubic units, hence the ratio is:
(1:5)³ = 1:125.
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I will mark you brainiest!
One of the sides of a pentagon has length 12. Which of the following points, when paired with (2, 3), will make a side equal to this length?
A) (14, 15)
B) (2, -9)
C) (-2, -3)
D). (-9, 2)
The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.
Let the other point of the pentagon will be M(n, o).
The given point be A (a, b)
Also given one of the sides of a pentagon has length 12.
Now, we need to find the distance between the two points,
Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)
Now,
\(12 = \sqrt{(2-n)^2+(3-o)^2}\)
\((12)^2\) = \((2-n)^2+(3-o)^2\)
\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)
Now, check every point for the values to match with equation (1)
Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.
Option B:
\((2-2)^2+(3-(-9))^2\) =114
0+114 =114
Therefore option B is correct. The other point is (2,-9).
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Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let PP represent Jeremiah's total pay on a day on which he sells xx dollars worth of computers. The table below has select values showing the linear relationship between xx and P.P. Determine how many dollars worth of computers Jeremiah would have to sell in order to get paid $130 on a given day.
Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.
What is a linear equation?An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.
General form: ax + b = c; where the power of the variable x is 1.
Calculation:It is given that,
Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.
Consider,
P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.
So, the linear equation that relates x and P is,
P = Cx + B ...(i)
On substituting the values from the given table we get,
122.5 = C(4500) + B ...(ii)
160 = C(7000) + B ...(iii)
175 = C(8000) + B ...(iv)
By solving equations (iii) and (iv), we get
C = 15/1000 = 0.015
B = 55
Finding x value when P = $130:
We have P = Cx + B. Then for P = 130,
130 = Cx + B
We know C = 0.015 and B = 55
On substituting these values,
130 = (0.015) x + 55
⇒ 0.015x = 130 - 55 = 75
∴ x = 75/0.015 = 5000
Therefore, the required computers are 5000 dollars worth.
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Disclaimer: The given question on the portal was incomplete. Here is the complete question.
Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.
Table:
x: 4500, 7000, 8000
P: 122.5, 160, 175
respectively.
a speedboat traveling at a constant speed arrives at its distension in 35 minutes. if it traveled 70 miles, then what was the speedboat's speed?
this is due in 5 mins
Answer:
120 mph
Step-by-step explanation:
t = 35 min = (35 min)/(60 min/hr) = 0.583 hr
d = 70 mi
speed = d/t = (70 mi) / (0.583 hr) = 120 mph
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
PLEASE HELP ME ASAP IM LOSING POINTS
Let's solve this problem step-by-step:
1. Let's put this in a fraction format:
6834 ÷ 17 = \(\frac{6834}{17}\)
2. Now we know 6834 = 6800 + 34
⇒ so:
\(\frac{6834}{17} =\frac{6800+34}{17} =\frac{6800}{17} +\frac{34}{17}\)
3. Now let's convert the fractions to denominators
\(\frac{6800}{17} +\frac{34}{17} =\) (6800 ÷ 17) + (34 ÷ 17)
Let's check:
6834 ÷ 17 = 402(6800 ÷ 17) + (34 ÷ 17) = (400) + (2) = 400 + 2 = 402
Answer: (6800 ÷ 17) + (34 ÷ 17) or Choice (C)
Question 6 (1.25 points)
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000. A random sample of 53 lawyers selected from the city
reveals a mean annual salary of $114,000. Assume that o = $17,000, and that the
test is to be made at the 1% significance level.
What is the value of the test statistic, z, rounded to three decimal places?
A
Answer:
Test statistic Z= 1.713
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Step-by-step explanation:
Step(i):-
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000
Mean of the Population μ = $110,000
Sample size 'n' = 53
Mean of the sample x⁻ = $114,000.
standard deviation of the Population = $17,000,
Level of significance = 0.01
Null hypothesis :
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
H₀: x⁻ = μ
Alternative Hypothesis : x⁻ ≠ μ
Step(ii):-
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }\)
Z = 1.7130
Tabulated value Z = 2.576 at 0.01 level of significance
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
By which angle measures can the regular pentagon be rotated so it maps onto itself? Select each correct answer. 72° 72° 90° 90° 135° 135° 144° 144° 216° 216° 300°
The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.
What is a regular polygon?A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.
It is given that:
The pentagon has five sides.
As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.
The angles are 72°.144°,216°, and 288°.
Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.
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4. Higher Order Thinking A national TV
news show conducted an online poll to find
the nation's favorite
comedian. The
website showed
the pictures of
5 comedians and
asked visitors of the
site to vote. The news
show inferred that
the comedian with
the most votes was
the funniest comedian
in the nation.
a. Is the inference valid? Explain.
b. How could you improve the poll? Explain.
No, the inference is not valid because it excluded those who were not online and so did not see the poll.
To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds
How to improve the poll ?The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.
To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.
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Please see screenshot
The graph of the feasible region is attached
How to determine the graph of the feasible regionFrom the question, we have the following parameters that can be used in our computation:
\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)
To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0
Using the above as a guide, the graph is attached
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A person is walking at a rate of 9 feet every 4 seconds.(b) Given the rate in (a), how far would this
el
per one second.
person travel in 14 seconds.
Answer:
2.25 feet
31.5 feet
Step-by-step explanation:
Given that the person travels 9 feet every 4 seconds, it means that in one second, the distance walked
= 9/4
= 2.25 feet
If the person walks 2.25 feet in a second then in 14 seconds, the distance walked
= 2.25*14/1
= 31.5 feet
Given thesinθ = 8/17 the ratio for cosine of θ is
. Enter your answer as a fraction.
Step-by-step explanation:
using Pythagoras theorem adjacent will be 15
so cos will be adjacent/hypotenuse
which is 15/17=0.882
need help these 3 math ?
Answer:
I can't see the problem, sorry.
please help!
mathematics question
Answer:
k = 6 and k = -4
Step-by-step explanation:
To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.
The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).
Possible p-values:
Factors of the constant term: ±1Possible q-values:
Factors of the leading coefficient: ±1, ±kTherefore, all the possible values of p/q are:
\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)
To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:
\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)
\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)
\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)
\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)
Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.
Note:
If k = 6, the roots are 1 and -1/6.
If k = -4, the roots are -1 and -1/4.