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3 years ago

Someone help please this is for corrections

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Answer:

5.25

Step-by-step explanation:

there are 12 people- $21/ per person you will divide 4 into 21 your answer should be 5.25

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If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?

Alexandra [31]

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

$SA=2(lb+bh+hl)$

Where, l is length, b is breadth and h is height of the cuboid.

Putting $SA=204.25, l=10,\ b=x,\ h=6.5$ in the above formula, we get

$204.25=2(10\times x+x\times 6.5+6.5\times 10)$

$204.25=2(10x+6.5x+65)$

$204.25=2(16.5x+65)$

Using distributive property, we get

$204.25=2(16.5x)+2(65)$

$204.25=33x+130$

$204.25-130=33x$

$74.25=33x$

Divide both sides by 33.

$\dfrac{74.25}{33}=x$

$2.25=x$

Therefore, the correct option is B.

7 0

3 years ago

I need to know how to solve it

Snowcat [4.5K]

-7x > -42. So you divide on both sides by -7 and that gives you x > 6

3 0

3 years ago

Read 2 more answers

Can abort help me with this math question the right answers

alex41 [277]

Answer:

pretty sure its D. 1.6 x 10^9

4 0

3 years ago

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the

EastWind [94]

Answer:

a) $\hat p=\frac{471}{1024}=0.460$

The standard error is given by:

$SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156$

And the margin of error is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305$

b) The 99% confidence interval would be given by (0.429;0.491)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Data given and notation

n=1024 represent the random sample taken

X=471 represent the people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

$\hat p=\frac{471}{1024}=0.460$ estimated proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

p= population proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

Part a

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.