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3 years ago

I have to find the volume and the surface area of a cereal box.

Mathematics

2 answers:

zepelin [54]3 years ago

8 0

Answer:

Volume: 8x1x12=96 inches^3

Surface area: 8x1x2=16

1x12x2=24

8x12x2=192

the total surface is: 16+24+192=232 inches^2

Ilya [14]3 years ago

3 0

12 in tall * 8 in wide = 96 in area. You need a third value to find a volume.

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The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c

kondor19780726 [428]

Answer:

$H_0:\mu = 45$ and $H_a:\mu < 45$

$T = 34.88$

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

$\mu =45$ and $\sigma= 9.1$

This is the null hypothesis i.e.

$H_0:\mu = 45$

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

$H_a:\mu < 45$

Solving (b) and (c): The test statistic (T).

This is calculated using:

$T = \frac{\mu}{\sigma/\sqrt n}$

In this case:

$n = 50$ $\mu =45$ and $\sigma= 9.1$

So:

$T = \frac{45}{9.1/\sqrt{50}}$

$T = \frac{45}{9.1/7.07}$

$T = \frac{45}{1.29}$

$T = 34.88$

Solving (c): Accept or reject null hypothesis

$\alpha = 0.05$

First calculate the degrees of freedom (df)

$df = n - 1 = 50 - 1$

$d f = 49$

From the t distribution table,

At: $d f = 49$ , $\alpha = 0.05$ and $T = 34.88$

the t score is:

$p = 1.676$

$p > 0.05$

<em>So, the null hypothesis is not rejected</em>

7 0

3 years ago

Which property does the equation illustrate?<br> 0 +-b= -b?

konstantin123 [22]

Answer:

The property the equation illustrates would be the zero property of addition.

Step-by-step explanation:

The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.

8 0

3 years ago

Venus is about 108 kilometers from the Sun. Saturn is about 109 kilometers from the Sun. About how many times farther from the S

Katena32 [7]

The answer is 1.009 times farther

3 0

3 years ago

Write the equation in slope intercept form of the line that passes through the point (1,-3) and a slope of -2

Alborosie

Answer:y=-2x-1

Step-by-step explanation:

(1,-3) and a slope of -2

Use Formula

Y= mx +b to find b. By using the slope and point given .

M is slope

Y is -3

X Is 1

Y=mx+b

-3= -2(1)+b

-3= -2+b

-3+2=b

-1=b

Now create the equation by inputting the slope they gave you which is -2 and answer we solved for b which is -1 .

Y= -2x-1

4 0

3 years ago

A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi

Lynna [10]

Answer:

B. 12.5

Step-by-step explanation:

We have the lowe confidence interval = 185

The upper confidence interval = 210

Mean of X = (lower confidence + upper confidence interval)/2

Mean of X = 185 + 210/2

= 197.5

The margin of error = the upper confidence interval - mean of X

= 210-197.5

= 12.5

3 0

3 years ago