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garri49 [273]
3 years ago
11

1. Find the value of y using the following diagram. (The angles are vertical angles) 74+5 47

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:  brainliest please

Part 1) Option D

Part 2) Option C

Step-by-step explanation:

we know that

In a Rhombus

Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles

Part 1) What is the measure of angle  ?

-----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle  ?

Remember that

In a rhombus consecutive angles are supplementary

so

The measure of angle  is equal to the measure of angle T divided by

Step-by-step explanation:

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6 0
3 years ago
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According to data from the 2010 United States Census, 43.1% of Americans over the age of 65 were male.
MrMuchimi

Answer: \mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of p is given by :-

\mu_{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}

, where p= population proportion.

n= sample size.

Let p represent the sample proportion of Americans over the age of 65 that were male.

Given : The proportion of Americans over the age of 65 were male.

p= 43.1%=0.431

sample size : n= 60

Then, the mean and standard deviation of the sampling distribution of p will be :-

\mu_{\hat{p}}=p =0.431\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.431(1-0.431)}{60}}\\\\=\sqrt{0.0041}\approx0.064

Hence, the mean and standard deviation of the sampling distribution of p :

\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064

4 0
3 years ago
Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks
ivolga24 [154]

Options:

A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22

Answer:

A. 18, 20, 20, 22, 25

Step-by-step explanation:

Required

Which list has a mean of 21 and median of 20

Each of the list have 5 numbers and they've all been sorted.

The median is the number at the 3rd position (i.e. the middle number)

So, list C and D are out because they do not have a median of 20.

Next, calculate the mean of lists A and B

\bar x = \frac{\sum x}{n}

A. 18, 20, 20, 22, 25

\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}

\bar x = \frac{105}{5}

\bar x = 21

B. 20, 20, 20, 25, 25

 \bar x = \frac{20 + 20 + 20 + 25 + 25}{5}

\bar x = \frac{110}{5}

\bar x = 22

Only list A has a median value of 20 and a mean value of 21

6 0
3 years ago
3. 5 bananas cost $2. At this rate, how much do 4 bananas cost?
Annette [7]

Answer:

$1.60

Step-by-step explanation:

<em><u>Write out a proportion. </u></em>

5 bananas/$2 = 4 bananas/$x

<em><u>Simplify the proportion, by cross multiplying. </u></em>

2 times 4 equals 8, then divide 8 by 5, which will give you our variable x.

8/5 is the same as 1.60, so the cost of 4 bananas will cost $1.60.

Hope this helped,

Philip

Brainliest always appreciated! <3

<em><u /></em>

6 0
3 years ago
What is the exact circumference of the circle?<br> o 23 см<br> 0 4 cm<br> 87 cm<br> 8 cm<br> 16 cm
Marrrta [24]
8cm times 2

Answer=16cm
6 0
3 years ago
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