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dalvyx [7]
2 years ago
12

Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean te

st score of 90?
Mathematics
1 answer:
Stells [14]2 years ago
4 0

Answer:

the answer is 93

Step-by-step explanation:

mean of x,y,z

x+y+z

3 terms

(x+y+z)/3=mean

so

represent next test score as x

89+94+82+84+98+x

count how many terms ther are (6 terms)

mean is 90

(89+94+82+84+98+x)/6=90

add the like terms

(447+x)/6=90

multiply both sides by 6 to clear fraction

447+x=540

subtract 447 from both sides

x=93

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Find the area of a circle with the circumference 32pi
Stella [2.4K]

Answer:

A=πr2

C=2πr

Solving forA

A=C2

4π=322

4·π≈81.48733

5 0
3 years ago
A bag contains 10 black, 15 white, and 25 blue marbles. What is the probability of randomly selecting one
gulaghasi [49]

Answer: 0.8 or 80%

Step-by-step explanation:

First find the total number of marbles:

10 + 15 + 25 = 50 marbles total

To find the number of marbles that are not black:

15 + 25 = 40 marbles that are not black

Set up ratio:

\frac{40}{50} = 0.8 or 80%

4 0
2 years ago
Olivia baked 16 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in
lukranit [14]

Answer:

The number of whole loaves at each location = 5 loaves

Step-by-step explanation:

This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:

Numer of loaves of bread = 16

number of locations = 3

next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:

= \frac{16}{3} = 5\frac{1}{3}

This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.

Therefore, the number of whole loaves at each location = 5 loaves

<em>but remember that there will be a remainder of 1 loaf.</em>

4 0
3 years ago
According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of
worty [1.4K]

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours

a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

\mu_x=\mu=23\ hours

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{100} }=1

c) \mu_x=\mu=23\ hours

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{1000} }=0.32

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.

The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.

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3 years ago
A plane flies 1400 kilometres in 2 hours 30 minutes
Sloan [31]
560 kilometers flied in each hour
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