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2 years ago

Find the surface area of the figure. Round to the nearest hundredth when necessary.

Mathematics

1 answer:

Ainat [17]2 years ago

8 0

Answer:

Solution given;

slant height[l]=32km

side of equilateral triangle (a)=14km

now

total surface area of triangular pyramid =

area of base triangle +3 area of traingular faces

=√3/4 a²+3×½×{b×l}

=√3/4 14²+3/2×{14×32}

=756.87=757 km² is a required surface area.

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ILL GIVE MEDAL AND BRAINLIST AWNSER TO whoEVER IN THE FIRST!!!!Roland's heart beats 495 times in 6 minutes. At that rate, how ma

Sonbull [250]

Answer,

C. 1650

Explanation,

495/6 = 82.5

82.5 x 20 = 1650

Hope this helps :-)

7 0

3 years ago

You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre

ra1l [238]

Answer:

1) Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

$\bar X=640$ represent the sample mean

$\sigma=150$ represent the population standard deviation

$n=40$ sample size

$\mu_o =500$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

Step1:State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:

Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

Step 2: Calculate the statistic

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

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

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0

2 years ago

Question below. Please answer it, its math.

AleksAgata [21]

Answer:

- 0.8

Step-by-step explanation:

The first thing we want to do here is simplify the expression -

$\frac{3}{5}$ ( 2x + 5 ) - 2x, Distribute the " $\frac{3}{5}$ " to elements within the parenthesis

= $\frac{3}{5}$ $*$ 2x + $\frac{3}{5}$ $*$ 5 - 2x, Focus on simplifying the expression " $\frac{3}{5}$ $*$ 2x + $\frac{3}{5}$ $*$ 5 "

= $2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}$ - 2x

= $\frac{6x}{5}+3$ - 2x, Combine fractions

= $-\frac{4x}{5}$ + 3

= $-\frac{4}{5}$ x + 3

So we have our simplified expression " $-\frac{4}{5}$ x + 3, " with $-\frac{4}{5}$ being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,

- 4 / 5 = - 0.8,

Solution = - 0.8

4 0

3 years ago

What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?

liberstina [14]

-3.

Coefficients are numbers that have a variable next to it, thus leading it to be -e of the -3x.

Hope this helps!

3 0

3 years ago

Read 2 more answers

A jet flies 405 miles in 5 hours. At this rate. how far could the jet fly in 15 hours? PLS

Marizza181 [45]

Answer: 1215 miles

Step-by-step explanation:

405 miles in 5 hours is 81 mph so you multiply that mph by the amount of hours you want (15) so 81 x 15 = 1215

3 0

3 years ago