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3 years ago

You don't have to list the figures or formulas

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

Answer:

$Area\:=\:1280\:ft^2$

Step-by-step explanation:

$Area=504+420+252+104=1280\\\\Thanks!$

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30,840 in expanded form?

Andrews [41]

30,840 is expanses for by place value is 30,000 + 800 + 40. Add them together and you get 30,840.

8 0

3 years ago

Read 2 more answers

Hello. Help please

sukhopar [10]

Answer:

Step-by-step explanation:

Q=+5414x=5

8 0

3 years ago

Suppose a consumer product researcher wanted to find out whether a highlighter lasted longer than the manufacturer's claim that

rosijanka [135]

Answer:

C) t = 2.635; p = 0.006; Reject the null hypothesis; there is strong evidence to suggest that the highlighters last longer than 14 hours.

Step-by-step explanation:

Data given and notation

$\bar X=14.5$ represent the sample mean

$s=1.2$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =14$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 14, the system of hypothesis would be:

Null hypothesis: $\mu \leq 14$

Alternative hypothesis: $\mu > 14$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{14.5-14}{\frac{1.2}{\sqrt{40}}}=2.635$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

Since is a one side test the p value would be:

$p_v =P(t_{(39)}>2.635)=0.006$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis

The best option would be:

C) t = 2.635; p = 0.006; Reject the null hypothesis; there is strong evidence to suggest that the highlighters last longer than 14 hours.

4 0

3 years ago

suppose that a bike rents for $4 plus $1.50 per hour. Write on equation in slope intercept form that models this situation

avanturin [10]

Slope intercept form: Y=MX+B so it would be Y= 4 + 1.50

8 0

3 years ago

A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

5 0

3 years ago