5/6 ×21 explain please

A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o

Sindrei [870]

Answer:

32*15 = 480

1500-480 = 1020

1020/10

102 races

Step-by-step explanation:

5 0

3 years ago

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

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

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

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

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

Which number line represents the solution of 4 - 3x > 13?

Oksanka [162]

Answer:

$x$

Step-by-step explanation:

Given inequality:

$4-3x>13$

In order to represent the solution on the number line, we will first solve the given inequality.

We have

$4-3x>13$

Subtracting both sides by 4.

$4-3x-4>13-4$

$-3x>9$

Dividing both sides by -3.

$\frac{-3x}{-3}$ [On dividing both sides by a negative number the sign of the inequality reverses.]

$x$

So, solution of this inequality will range from -3 to -∞

The number line is represented below.

5 0

3 years ago

Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age,

Harrizon [31]

Answer:

Step-by-step explanation:

In order to find the answer, let's work backwards to find the original. We have to do the opposite to get to the Raju's age. We will start with his fathers age. (44) Then we will subtract five from it so that it will be divisible by three.

44 - 5 = 39

Then we just have to divide by 3.

44/3 = 13

His age is 13 years old.

5 0

3 years ago

A sweatshirt is on sale for Black Friday and is 60% off of its it's original price of 60$. How much is the sweatshirt?

Ierofanga [76]

Answer:

$36

Step-by-step explanation:

Plz give me brainliest as i just need 3 more plz plz plz

4 0

3 years ago