The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.
What are functions?Functions is the relationship between sets of values. And shows their characteristic curve as well.
Here, the curve shows in the graph as y intercept of 10 on y axis, is linear function. From options we have only one option that show the same y intercept y = 10.
That linear function ⇒ y =6x+18 (obtained from option D).
Thus, the linear function y = 6x +10 has the same y intercept as the one that is represented by the graph.
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Answer:
The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.
Step-by-step explanation:
Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Upper H Subscript 0 Baseline : mu Subscript 1 Baseline equals mu Subscript 2 vs Upper H Subscript a Baseline : mu Subscript 1 Baseline greater-than mu Subscript 2 using the sample results x Overscript bar EndScripts Subscript 1 Baseline equals 56, s Subscript 1 Baseline equals 8.2 with n Subscript 1 Baseline equals 30 and x Overscript bar EndScripts Subscript 2 Baseline equals 51, s Subscript 2 Baseline equals 6.9 with n Subscript 2 Baseline equals 40.
A. Give the test statistic and the p-value.
B. What is the conclusion of the test? Test at a 10 % level.
Answer:
(A) The value of t test statistics is 2.767 and P-value is 0.0042.
(B) We conclude that the mean of first group is greater than the mean of second group.
Step-by-step explanation:
We are given the following hypothesis below;
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex] {means that the mean of first group is equal to the mean of second group}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1>\mu_2[/tex] {means that the mean of first group is greater than the mean of second group}
The test statistics that would be used here Two-sample t-test statistics as we don't know about population standard deviation;
T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ~ [tex]t__n__1-_n__2-2[/tex]
where, [tex]\bar X_1[/tex] = sample mean of first group = 56
[tex]\bar X_2[/tex] = sample mean of second group = 51
[tex]s_1[/tex] = sample standard deviation of first group = 8.2
[tex]s_2[/tex] = sample standard deviation of second group = 6.9
[tex]n_1[/tex] = sample of first group = 30
[tex]n_2[/tex] = sample of second group = 40
Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(30-1)\times 8.2^{2} +(40-1)\times 6.9^{2} }{30+40-2} }[/tex] = 7.482
So, the test statistics = [tex]\frac{(56-51)-(0)}{7.482 \times \sqrt{\frac{1}{30} +\frac{1}{40} } }[/tex] ~ [tex]t_6_8[/tex]
= 2.767
(A) The value of t test statistics is 2.767.
Also, P-value of the test statistics is given by;
P-value = P( [tex]t_6_8[/tex] > 2.767) = 0.0042
(B) Now, at 10% significance level the t table gives critical value of 1.295 at 68 degree of freedom for right-tailed test.
Since our test statistic is more than the critical values of t as 2.767 > 1.295, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean of first group is greater than the mean of second group.
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 29.
What is the age of the person who entered the room?
Answer :S/5 = 28
Step-by-step explanation:
Which could be the first step in solving the equation represented by the model below? 3 x tiles and 4 positive 1 tiles = 2 x tiles and 6 positive 1 tiles Add 4 negative unit tiles to both sides. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side. Add 4 positive unit tiles to both sides. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answer:
A
Step-by-step explanation:
Bigbrain ;3
Answer:
the right answer is A
Step-by-step explanation:
have a great day and hope you pass
I neeed helppp please it is timed
C = π d
C = (22/7) × (35/2) = (22/2)(35/7) = 11(5) =55
Answer: 55, second choice
Step-by-step explanation:
It is the solution. Mark as brainlist.
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
3y + 2 = 11 what does the y equal
Answer:
3
Step-by-step explanation:
first subtract 2 from 11, which is 9
then u have 3y=9
then u do 9 divided by 3, which is 3
and that's ur final answer
Answer:
3y + 2 = 11
=> 3y = 11 - 2
=> 3y = 9
=> y = 9/3
=> y = 3
A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two different states.
a) At α = 0.05, is there enough evidence to conclude that there is a difference in the interest rates paid by the two states?
State A:
Sample size 60
Mean interest rate (%) 3.2
Population variance .02
State B:
Sample size 60
Mean interest rate (%) 3.4
Population variance .05
Answer:
[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]
The p value can be calculated with this probability:
[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]
The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Step-by-step explanation:
Information provided
[tex]\bar X_{1}=3.2[/tex] represent the mean for sample A
[tex]\bar X_{2}=3.4[/tex] represent the mean for sample B
[tex]\sigma_{1}=\sqrt{0.02}= 0.141[/tex] represent the sample standard deviation for A
[tex]s_{2}=\sqrt{0.05}= 0.224[/tex] represent the sample standard deviation for B
[tex]n_{1}=60[/tex] sample size for the group A
[tex]n_{2}=60[/tex] sample size for the group B
[tex]\alpha=0.05[/tex] Significance level provided
z would represent the statistic
Hypothesis to test
We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:
Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]
Alternative hypothesis:[tex]\mu_{1} - \mu_{2}\neq 0[/tex]
The statistic for this case since we know the population deviations is given by:
[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]
The p value can be calculated with this probability:
[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]
The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Find the missing number based on the description below:
“12 less than 7 times a number is the same as 32 less than the product of -3 and the number”
Answer:
The number is -2
Step-by-step explanation:
12 less than 7 times a number can be express as follows,
let the number = a
7a - 12
According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.
32 less than the product of -3 and the number can be express below.
-3a - 32. Therefore,
7a - 12 = -3a - 32
collect like terms
7a + 3a = - 32 + 12
10a = -20
divide both sides by 10
a = -20/10
a = -2
The number is -2
1.
Y:
Which of the following expressions represents a positive
number?
A 6.1 + (-6.2)
B
-4.5 - (-5)
0 -3 -1 -2 /
с
+
8
E 3 - (7)
Answer:
b
Step-by-step explanation:
Can someone please tell me what the mathematical shape of the certain photo I have attached.
Thanks
Jake
Answer:
Square based pyramid
Step-by-step explanation:
Answer:
The given figure is a square based pyramid
Round 478.54 to nearest tenth
Answer:
478.5
Step-by-step explanation:
The 4 is less than 5 so it rounds down.
Answer:
478.5
Step-by-step explanation:
Please help me you’ll be a lifesaver These are pretty easy
Answer:
B
Step-by-step explanation:
Answer:
I think the answer is A. 1/72 Hopefully this helps! and hopefully this is correct!
Which statement is true?
A. 5x and 5 are like terms.
B. 5 and x are like terms.
C. 5x and x are like terms.
D. 5x and 5y are like terms.
Answer:
C. 5x and x are like terms.
Step-by-step explanation:
Like terms have the same degree of the variable
5x and x are like terms because both have x to the power 1
Answer:
C. 5x and x are like terms.
Step-by-step explanation:
All variables are all " x "
What’s the correct answer for this?
Step-by-step explanation:
Midpoint => M (Mx, My)
Mx = (Ax + Bx)÷2
My = (Ay + By)÷2
Mx = [(-6) + 2] ÷ 2 = -2
My = [(-3) + 7] ÷ 2 = 2
M (-2, 2)
what is (3.4) times 1,000
Answer:
3,400
Step-by-step explanation
Move the decimal place 3 times to the right (the number of zero's is how many places you go)
Answer:
3400
Step-by-step explanation:
3.4x 1,00=3400
-2x - x + 8 = ? a little help please!
Y−3=2(x+1) solve this
Answer:
Y-3 = 2(x+1)
open the brackets
Y-3 = 2x+2
Y = 2x+5..... this is the answer when solving for Y
if were solving for x:
Y-3 = 2x+5
Y-8 = 2x
[tex]\frac{y}{2} -4 = x[/tex]
The area of a square garden is 100 square meters.
a. Find the length of each side of the garden.
? m area = 100 m2
b. Find the perimeter of the garden.
Please help
Answer:
a. The length of each side of the garden is 10 m.
b. The perimeter of the garden is 40 m.
Step-by-step explanation:
A square is a regular polygon with four sides. The area of a square is given by the formula
[tex]Area = width \cdot height[/tex]
But since the width and height are by definition the same, the formula is usually written as
[tex]Area = s^2[/tex]
where s is the length of one side.
a. To find the length of each side of the garden we know that the area is 100 [tex]m^2[/tex] applying the area formula and solving for s, the length of one side, we get that
[tex]100=s^2\\\\s^2=100\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\s=\sqrt{100},\:s=-\sqrt{100}[/tex]
The length can't be negative. Therefore, [tex]s=\sqrt{100}=10[/tex]
b. In the case of a square, all four sides are the same length, so the perimeter is four times the length of a side. Or as a formula:
[tex]Perimeter = 4s[/tex]
where s is the length of any one side.
We find that the length of each side is 10 m. Therefore, the perimeter is
[tex]Perimeter = 4s\\\\Perimeter =4 \cdot 10 = 40 \:m[/tex]
Evaluate the expression 9P5
Answer:
45p
Step-by-step explanation:
9p(5)
9p*5=45p
Please let me know if this wasn't how your problem was suppose to look
Tina wrote the equations 3x-y=9 and 4x+y=5. What can Tina conclude about the solution to this system of equations?
(3, 2) is a solution to the system of linear equations.
(-2, 3) is a solution to the system of linear equations.
(2.-3) is a solution to the system of linear equations.
(3,-2) is a solution to the system of linear equations.
Answer:
Option (C)
Step-by-step explanation:
Solve by Graphing:
Use a graphing tool to graph the lines 3x-y=9 and 4x+y=5.
When graphed, the lines intercept at (2,-3).
Therefore, Tina can conclude that (2,-3) is a solution to the system of linear equations.
The required (2.-3) is a solution to the system of linear equations. Option C is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)
Adding equations 1 and 2
7x = 14
x = 2
Now,
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3
Thus, the required solution of the given simultaneous equations are x = 2 and y = -3.
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Two nickels are flipped and a number cube is rolled. How many total outcomes are there?
Answer:
2
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Coin # 1 - 2 outcomes
Coin # 2 - 2 outcomes
Number cube - 6 outcomes
Total outcomes: 2 x 2 x 6 = 24
However, if “heads and tails” is considered the same as “tails and heads” (order doesn’t matter):
Coins outcomes: 3
Cube outcomes: still 6
Total outcomes: 18
An immigration agent sampled cars going from country M to country N. In his report, he indicated that of the 85 cars sampled, 27 cars were driven by women, 53 cars were driven by citizens of country M, 41 cars had two or more passengers, 23 cars were driven by women who are citizens of country M, 22 cars were driven by women and had two or more passengers, 18 cars were driven by citizens of country M and had two or more passengers, and 13 cars were driven by women who are citizens of country M and had two or more passengers. After his supervisor reads the report, she explains to the agent that he made a mistake. Explain how his supervisor knew that the agent's report contained an error.
Answer:
the numbers of women drivers are inconsistent
Step-by-step explanation:
Let W, C, P stand for the conditions that the drivers were women, the drivers were citizens, and the car had passengers, respectively.
We are told the number of WCP cars is 13, the number of WC cars is 23, and the number of WP cars is 22. The total of WC and WP cars counts WCP cars twice, so the total of cars in these three categories combined is ...
WC +WP -WCP = 23 +22 -13 = 32
This number (32) is more than the total number of cars with women driving (27), so there is obviously a mistake.
Eastbound travels at 95 miles per hour the westbound train travels at 105 miles per hour .how long will it take for the two trains to be 480 miles apart
Answer:
48
Step-by-step explanation:
This is a linear equation, it goes as follows:
[tex]105(x) - 95(x) = 480[/tex]
x stands for hours.
Solving for x yields 10.
Keep in mind that 105 and 95 are miles per hour where 480 is miles. So multiplying [tex](\frac{miles}{hours}) (hours)[/tex] gives off hours which is what we are looking for.
Hope this helps.
What is x if the equation is, 4 - (2x-3) = 3?
Answer:
x = 2
Step-by-step explanation:
4 - (2x-3) = 3
Distribute the minus sign
4 -2x+3 = 3
Combine like terms
7 -2x = 3
Subtract 7 from each side
7 -2x-7 = 3-7
-2x = -4
Divide by -2
-2x/-2 = -4/-2
x = 2
Which statement about g(x)=x^2-576 is true
Can anyone figure this riddle out?
Answer:
i will explain :)
Step-by-step explanation:
there are three people. a grandfather, a father, and a son. the grandfather is the father of the father, and the father is the father of the son (if that makes any sense). the father is the son of the grandfather, and son is the son of the father. so technically while there are 2 sons and 2 fathers, there are still three people. :)
three people. a grandfather, a father, and a son.
6 times what would = 73
Answer:
12.1 repeating
Step-by-step explanation:
73/6=12.16666666...
Find the distance between the points (-5,1) and (-2,-5)
Answer:
d= 3√5
Step-by-step explanation:
What is the slope of the line
Answer:
the answer is b
Step-by-step explanation:
since rise over run
Answer:
You should be able to complete the solution from the guidance below.
Step-by-step explanation:
The slope is y2-y1 / x2-x1
The points from the graph are (0,3) and (-1.5,0)
Coopers & Lybrand surveyed 210 chief executives of fast-growing small companies. Only 51% of these executives had a management succession plan in place. A spokesperson for Cooper & Lybrand said that many companies do not worry about management succession unless it is an immediate problem. However, the unexpected exit of a corporate leader can disrupt and unfocus a company for long enough to cause it to lose its momentum. Use the data given to compute a 92% confidence interval to estimate the proportion of all fast-growing small companies that have a management succession plan.
Answer:
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
(0.46154 , 0.558)
Step-by-step explanation:
Given sample size 'n' = 210
The sample proportion 'p' = 51% = 0.51
Confidence intervals are determined by
[tex](p^{-} - z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} +Z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} )}{n } } )[/tex]
The 92% of z-score value
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.08}{2} } = Z_{0.04} = 1.405[/tex]
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
[tex](0.51 - 1.405 \sqrt{\frac{0.51 (1-0.51 }{210} } , 0.51 +1.405 \sqrt{\frac{0.51 (1-0.51)}{210 } } )[/tex]
on calculation , we get
(0.51-0.048 , 0.51 + 0.048)
(0.46154 , 0.558)
Final answer:-
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
(0.46154 , 0.558)