Simplify 8X +7 - 2X -4

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.

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

Answer:

Square based pyramid

Step-by-step explanation:

Answer:

The given figure is a square based pyramid

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]

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

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)

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

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

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.

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.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

Answer:

d= 3√5

Step-by-step explanation:

Answer :S/5 = 28

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In the attached file

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]

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 "

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)

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

Answer:

b

Step-by-step explanation:

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.

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.

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

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.

Answer:

12.1 repeating

Step-by-step explanation:

73/6=12.16666666...

Answer:

478.5

Step-by-step explanation:

The 4 is less than 5 so it rounds down.

Answer:

478.5

Step-by-step explanation:

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)

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

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

Answer:

B

Step-by-step explanation:

Answer:

I think the answer is A. 1/72 Hopefully this helps! and hopefully this is correct!

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.