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3 years ago

Select all the True statements below. There are 4 total!

Mathematics

2 answers:

Pie3 years ago

6 0

The first four are the correct ones

Rus_ich [418]3 years ago

4 0

The first and the last are correct

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What multiplies to give you 15 and adds to give you -8?

Nitella [24]

Answer:

The system of equations is:

x + y = 15

xy = 15

Step-by-step explanation:

solve the first for y and substitute in the second:

y = 15-x

x(15-x) = 15

15x - x� = 15

15x - x� - 15 = 0

-x� + 15x - 15 = 0

x� - 15x + 15 = 0

7 0

2 years ago

Read 2 more answers

At an important meet, Allyson won the women's 100 meters in 12.24 seconds. Find her average rate.

otez555 [7]

The rate is 8.17 meters per second

Further explanation:

In order to find the rate we have to divide the distance covered by the woman by the time she covered it in.

Given

$Distance=d=100\ meters\\Time=t=12.24\ sec\\So,\\Rate=\frac{d}{t}\\=\frac{100}{12.24}\\=8.17\ ms^{-1}$

The rate is 8.17 meters per second

Keywords: Speed, distance

Learn more about speed at:

#LearnwithBrainly

6 0

3 years ago

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$