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2 years ago

8

Find the length of the missing side. Leave your answer in simplest radical form.

1 answer:

vfiekz [6]2 years ago

8 0

Answer:

Step-by-step explanation:

1) learn the Pythagoras theorem which is $a{2} +b{2} =c{2}$

2) to work out the longest length you do $4^2+3^2$ which is 25

3) than you do the square of 25 which is 5 so the answer is 5

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For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les

kaheart [24]

Answer:

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.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

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

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.52$ estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

$\alpha=0.05$ represent the significance level (no given, but is assumed)

Solution to the problem

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.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

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

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

5 0

2 years ago

The figure shows a triangle with its three angle bisectors intersecting at Point P.

NeX [460]

Check the picture below.

we know the lines are angle bisectors, so the line makes twin angles, so the line FP is making twin angles, we also know the angle FZP and the angle FYP are right-angles, as well as FP is a common hypotenuse to two right triangles, thus by the HA postulate for right triangles, triangle FPZ and triangle FPY are both congruent, so their sides are also congruents, thus PY = PZ.

7 0

2 years ago

You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space

Aneli [31]

Answer:

<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>

Step-by-step explanation:

Givens

The diameter of the globe (sphere) is 30 centimeters,
The box must has dimensions 30x30.

We need to find each volume to subtract them.

$V_{box}=(30cm)^{3}= 27,000 \ cm^{3}$

$V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}$

The difference betweem the box and the sphere is

$\Delta V=27,000 - 14,130 = 12,870 \ cm^{3}$

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

5 0

2 years ago

Зу = 2х +9<br> in slope intercept

charle [14.2K]

Y=2/3x+3 BAM there it is

7 0

2 years ago

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Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.

irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are $48 in\times 168 in$

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

$48 = 2\times 2\times 2\times 2\times 3$

$168 = 2\times 2\times 2\times 3\times 7$

Therefore,

The GCF of the dimensions = $48 = 2\times 2\times 2\times 3 = 24$

Therefore, the largest side of a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = $\frac{Total\ Area}{Area\ of\ largest\ square}$

No. of pieces = $\frac{48\times 168}{24\times 24}$ = 14

7 0

3 years ago

Read 2 more answers