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olganol [36]
3 years ago
13

Given quadrilateral ABCD is congruent to Quadrilateral A'B'C'D', What is the measure of B'C'?

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0
The measure of B’C’ is 18 inches
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64 % of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Dafna11 [192]
16/25% of the animals in the shelter are dog
Hope I helped you:)
5 0
3 years ago
In a study of 479,908 cell phone​ users, it was found that 213 developed cancer of the brain or nervous system. Assuming that ce
Setler79 [48]

Answer:

The probability of 213 or fewer cases of such cancer in a group of 479,908 people is 0.2776.

Step-by-step explanation:

We are given that assuming that cell phones have no​ effect, there is a 0.000462 probability of a person developing cancer of the brain or nervous system. We, therefore, expect about 222 cases of such cancer in a group of 479,908 people.

Let \hat p = <u><em>sample probability of a person developing cancer of the brain or nervous system.</em></u>

The z-score probability distribution for the sample proportion is given by;

                            Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population probability of a person developing cancer of the brain or nervous system = 0.000462

            n = sample of cell phone​ users = 479,908

Now, the probability of 213 or fewer cases of such cancer in a group of 479,908 people is given by = P(\hat p \leq \frac{213}{479,908} )

     P(\hat p \leq 0.000444) = P(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.000444-0.000462}{\sqrt{\frac{0.000444(1-0.000444)}{479,908} } } ) = P(Z \leq -0.59)

                                 = 1 - P(Z < 0.59) = 1 - 0.7224 = <u>0.2776</u>

The above probability is calculated by looking at the value of x = 0.59 in the z table which has an area of 0.7224.

These results suggest about media reports that cell phones cause cancer of the brain or nervous​ system that there is around 28% chance that 213 or fewer cases of such cancer in a group of 479,908 people can take place.

6 0
3 years ago
Gabriel deposits $2,500 into each of two savings accounts.
charle [14.2K]

Answer:

$5,612.16

Step-by-step explanation:

Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

substitute in the formula above

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to  

A=P(1+rt)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3 years

p=$2,500

r=4%=4/100=0.04

substitute in the formula above  

A=2,500(1+0.04 * 3)

A=2,500 (1.12)

A=$2,800

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment

$2,800 + $2,812.16 = $5.612.16

8 0
4 years ago
A clock shows a time of 6 o'clock. What is the measure
balu736 [363]

Question 1

<h3>Answer: 180 degrees</h3>

Reason: The minute and hour hand form a straight line, or straight angle, which is always 180 degrees in measure.

============================================================

Question 2

<h3>Answer: 36</h3>

Reason: Split a pizza into 12 equal slices. Imagine having 3 such pizzas to get 3*12 = 36 slices in total. This leads to the idea that 36*(1/12) = 3.

============================================================

Question 3

<h3>Answer: 360 degrees</h3>

Reason: This is by definition of what it means to do a full rotation.

8 0
3 years ago
The work that Yi did to find the greatest common factor of 42 and 63 is shown below. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 Fa
Crazy boy [7]

Answer:

see explanation

Step-by-step explanation:

The error is that the factors of 3 and 21 are missing from the list for 63

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 63 : 1, 3, 7, 9, 21, 63

common factors are : 1, 3, 7, 21

greatest common factor = 21

5 0
3 years ago
Read 2 more answers
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