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4 years ago

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and

Mathematics

1 answer:

KiRa [710]4 years ago

7 0

D(7, 3), E(8, 1), and F(4, -1)

We calculate the squared distances between the points:

$DE^2 = 1^2 + 2^2 = 5$

$EF^2=4^2+2^2=20$

$DF^2=3^2+4^2=25$

Since $DF^2=DE^2+EF^2$ we have a right triangle with hypotenuse DF.

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Plot, and<br>on the number line.<br>10

ELEN [110]

Answer:

You have to plot 10 on number line

Just Move 10 units Forward From O(zero or origin) to locate it

5 0

3 years ago

In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places

erastova [34]

Answer:

$z= \frac{p- \mu_p}{\sigma_p}$

And the z score for 0.4 is

$z = \frac{0.4-0.4}{\sigma_p} = 0$

And then the probability desired would be:

$P(p$

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

$np = 45*0.4= 18 >10$

$n(1-p) = 45*0.6= 27 >10$

For this case we can assume that the population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Where:

$\mu_{p}= \hat p = 0.4$

$\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703$

And we want to find this probability:

$P(p$

And we can use the z score formula given by:

$z= \frac{p- \mu_p}{\sigma_p}$

And the z score for 0.4 is

$z = \frac{0.4-0.4}{\sigma_p} = 0$

And then the probability desired would be:

$P(p$

7 0

3 years ago

Read 2 more answers

Why can't irrational numbers be whole numbers

meriva

Irrational numbers cannot be represented by a ratio of two integers.

All whole numbers, however, can. This can be done by placing the number over 1. For example 0/1, 34/1, 173635278/1.

5 0

4 years ago

Each week when Kara goes grocery shopping the purchase g gallons of milk and e cartons of eggs. Which expression illustrates the

zimovet [89]

(g+e)4 is one equation that would work well

8 0

3 years ago

A bag contains 40 tickets, each numbered between 1-40. If a ticket is drawn at random, find the probability of it being odd or l

Crank

Answer:

you have a 50% chance of getting an odd number and a 60% chance of getting a number less than 26.

Step-by-step explanation:

Between 1 and 40 there are 20 odd numbers

20÷ 40 x 100=50, This means you have a 50% (20:20) chance of getting an odd number.

Between 1 and 40 there 25 numbers less than 26

15÷25 x 100=60, This means you have a 60% (25:15) chance of getting a number under 26.

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4 years ago