Answer please and explain

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

Answer:

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

3) D.f= n1+n2-2= 32+28-2= 58

Step-by-step explanation:

The null hypothesis is that there is no  difference in population means (masterâs degree minus bachelorâs degree)

The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

Putting the values

Sp= 12,250,000( 31)  + 16,000,000(27)/ 31+27

Sp=  379,750,000- 432,000,000/58

Sp= -52,250,000/58

Sp= -900,862.1

Now Putting the values in the t- test

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)

t= -3000/ -233,120.21

t= 0.012868

3) D.f= n1+n2-2= 32+28-2= 58

for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017

4) Since the calculated value of t=  0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.

Answer:

Step-by-step explanation:

what expressions?

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}b^{2} - 6[/tex]

[tex]\frac{1}{2}(4)^{2} - 6[/tex]

[tex]\frac{1}{2} * 16 - 6[/tex]

[tex]8 - 6[/tex]

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

Plug in the value:

1/2 b² – 6

1/2 (4)² – 6

Use order of operations (PEMDAS):

There are no parentheses:

Do exponent:

1/2 (16) – 6

Then multiplication and division in the order that they come in:

8 – 6

Then addition and subtraction in the order that they come in:

2

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

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Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

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Answer:

(-3 ;13/2)Step-by-step explanation:

hello :

the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )

(-3 ;13/2)

Step-by-step explanation:

VAT = 250*15%

VAT = 250*15/100

VAT = 37.5 therefore

total price add VAT =250+37.5

=287.5

Answer:

There's going to be 3 thirds in one whole sandwich. Hope this helps

Step-by-step explanation:

Answer:

9/10 divided by 3/4 is 6/5  

3/4 divided by 9 is 1/12

6/9 divided by 6/7 is 7/6

5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9

Answer:

36

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer:

D

Step-by-step explanation:

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

1. Add 9 to both sides.

6x=3+9

2. Simplify  3+9  to  12.

6x=12

3. Divide both sides by 6.

x=12/6

4.

Simplify 12/6 to 2

x = 2

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2

Answer:

y = 1/4 x - 7/2

Step-by-step explanation:

x - 4y = 14

-4y = -x + 14

y = -x/(-4) - 14/4

y = 1/4 x - 7/2

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Step-by-step explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]

Total charge on day 2 = 771 $ =  [tex]20\times x+12\times y+17\times z[/tex]

Now we have 3 equations : x+ y+z =45

[tex]15\times x+8\times y+12\times z=558[/tex]

[tex]20\times x+12\times y+17\times z=771[/tex]

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Answer:

B

the middle one

Step-by-step explanation:

Answer:

480[tex]in^3[/tex]

Step-by-step explanation:

Volume of a Rectangular Prism = L x W x H

12 x 8 x 5 = 96 x 5 = 480

480 in^3

Answer:

The geometric mean of 18 and 27 is 22.045407685

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Answer:

22.045407685

Step-by-step explanation:

Answer:

5,6

Step-by-step explanation:

Answer:

5 and 6

Step-by-step explanation:

5² = 25

6² = 36