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3 years ago

- 4(5h+5) = -40 what does h equal?

1 answer:

3 0

First off multiply -4 with what is inside the parentheses

-20h-20=-40

Now add 20 to both sides

-20h=-20

Now divided by -20

h=1

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Captain has $30 flame has a $20 note $5 notes . how much more moneny does captain have

SCORPION-xisa [38]

Captain has $30 money

Flame has $20 +$5 =$25

difference =30-25=5

Captain has $5 more money

5 0

3 years ago

find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round

Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:

$P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$

Where p denotes the probability of success.

We are given that the probability of success if 50%.

i.e. $p=\dfrac{1}{2}$

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6$

$\binom {6}{3}=20$

Hence,

$P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16$

In percentage the probability will be:

$\dfrac{5}{16}\times 100=31.25\%=31.2\%$

8 0

4 years ago

Find the sum of the even integers between 30 and 70

Marat540 [252]

we have to find sum of even integer between 30 and 70

first term is 32

$a_1=32$

$a_2=34$

......

$a_n=68$

common difference is

$d=2$

firstly , we will find n

we can use formula

$a_n=a_1+(n-1)d$

$68=32+(n-1)*2$

$n=19$

now, we can find sum

$sum=\frac{19}{2} (32+68)$

$sum=950$ .............Answer

6 0

4 years ago

Read 2 more answers

What is the domain of f(x)?<br> {x1 {x|1 O [y-4 5y< 1}<br> [y] -4

guapka [62]

5
Explanation
I will explain

3 0

4 years ago

She made 5/6 gallon of lemonade for her son and his friends. If each serving of lemonade is 1 cup how many servings can mrs.Cost

alexgriva [62]

She can offer 13 cups of lemonade.

8 0

3 years ago