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Snowcat [4.5K]
1 year ago
10

Select the correct answer from each drop-down menu. Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, sho

wn in the figure. Find the measure of each angle of polygon ABCDE. m∠ABC = ° m∠BCD = ° m∠DEA = ° m∠CDE = °

Mathematics
1 answer:
Umnica [9.8K]1 year ago
6 0

Answer and Step-by-step explanation:

As it is mentoned in the question

Polygon ABCDE rotates around point F in clockwise direction to create polygon FGHIJ

And as we can see in the figure that

So we conclude that

A = F ⇒ 117°

B = G ⇒ 90°

C = H ⇒ 127°

D = I ⇒ 90°

E = J ⇒ 117°

Therefore this is the answer and the same is to be considered

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The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran
Serjik [45]

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.16, n = 100

So

s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367

The standard error of the proportion is 0.0367.

4 0
1 year ago
He slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFractio
Kryger [21]

Answer:

-1

Step-by-step explanation:

The product of these slopes is -1 ... when dealing with perpendicularity

8 0
1 year ago
sandy is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 4 km/h. After two
Butoxors [25]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is  y = 1x + 48
Make standard form.
<span>x - y = -48</span>
7 0
2 years ago
Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 ​ kg1, start fraction, 3, divided by, 7, end fraction, start
LenKa [72]

Answer:

The cost of per kilogram of salami is = $9.1

Step-by-step explanation:

Given:

Hailey paid $13 for 1\frac{3}{7} kg of sliced salami.

To find cost per kilogram of salami.

Solution:

We will apply unitary method to find per kilogram cost of salami.

If 1\frac{3}{7} kg of salami costs = $13

Then 1 kg of salami will cost in dollars will be = 13\div 1\frac{3}{7}

In order to divide by mixed numbers, we will convert mixed numbers to fractions.

⇒ 13\div \frac{(7\times1)+3}{7}

⇒ 13\div \frac{10}{7}

In order to divide by fractions we will take reciprocal of divisor and then multiply.

⇒ 13\times \frac{7}{10}

⇒ \frac{13\times7}{10}

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Thus, cost of per kilogram of salami is = $9.1

3 0
2 years ago
Read 2 more answers
Suppose babies born in a large hospital have a mean weight of 4095 grams, and a standard deviation of 569 grams. If 130 babies a
Butoxors [25]

Answer:

P =0.3998

Step-by-step explanation:

Let {\displaystyle {\overline{x}}} be the average of the sample, and the population mean will be \mu

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\mu = 4095 gr

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E=\frac{\sigma}{\sqrt{n}}

Where

\sigma=569

n=130

In this case we are looking for:

P(|{\displaystyle{\overline{x}}}- \mu|>42)

This is:

{\displaystyle{\overline{x}}}- \mu>42 or {\displaystyle{\overline{x}}}- \mu

P=P({\displaystyle{\overline{x}}}- \mu>42)+ P({\displaystyle{\overline{x}}}- \mu

Now we get the z score

Z=\frac{{\displaystyle{\overline{x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}

P=P(z>\frac{42}{\frac{569}{\sqrt{130}}}) + P(z

P=P(z>0.8416) + P(z

Looking at the tables for the standard nominal distribution we get

P =0.1999+0.1999

P =0.3998

6 0
1 year ago
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