_3 +36_+ 54_-_b3 = (20

Studentka2010 [4]

Volume = 2 x 6 x 1 + 1 x 2 x 2
Volume = 16 cubic feet

Shipping Cost = 20 + 1 x 6 = $26

5 0

3 years ago

A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the lengt

Nataly_w [17]

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x since thery are in the ratio of 2 :7

Such that Length of the shorter string = 2x

and the longer string = 7x so that the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm

5 0

3 years ago

] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was

Bad White [126]

Answer:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

$\hat p=\frac{502}{1045}=0.480$ estimated proportion of college graduates with a mentor

$p_o=0.42$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:

Null hypothesis: $p \leq 0.42$

Alternative hypothesis: $p > 0.42$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0

3 years ago

In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?

Kobotan [32]

$80 \div 2 = 40 \\ 40 \times 5 = 200$
there are 200 houses

4 0

4 years ago

Simplify -3[5 - (-8 + 6)]<br> -21<br> -9<br> 21

Aloiza [94]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3[5-(-8+6)] Equation/Question

Step 2

-3[5-(-8+6)] Simplify

(-3)(7)

Step 3

(-3)(7) Multiply

-21

Answer

-21

Hope this helps

8 0

3 years ago

_3 +36_+ 54_-_b3 = (20 - 3b)3