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oksian1 [2.3K]
3 years ago
5

Anna scored 27 questions right on her test. She scored a 90%. How many questions were on the test?​

Mathematics
2 answers:
-BARSIC- [3]3 years ago
7 0

Answer:

30

Step-by-step explanation:

divide 27 by 9

you get 3

add 3 to 27 because 3 = 10%

30 questions

hope this helped! :)

valkas [14]3 years ago
6 0

Answer: 30

Step-by-step explanation: 30 times .9 is 27, meaning that 90%of her grade would be 27.

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In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,91
Maurinko [17]

Answer:

a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

b) Wider

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.

This means that n = 3900, \pi = \frac{1911}{3900} = 0.49

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032

The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

Question b:

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.

3 0
2 years ago
What is the quadratic regression equation for the data set?
Svet_ta [14]

Answer:

y=−0.004x2+0.415x−0.546

6 0
3 years ago
What is the median of the ages in this stem-and-leaf plot? 43 45 46 47
ICE Princess25 [194]
To find a median of an even amount of numbers, add the two middle numbers, and divide by two.

45 + 46 = 91

91/2 = 45.5

45.5 is your median

hope this helps
6 0
3 years ago
Read 2 more answers
What is the product of (5-2i)(3+i)
zvonat [6]
The is the answer on my paper:

3 0
2 years ago
A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c
nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

<h3>What is a cone?</h3>

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

\rm V = \pi r^2 h

r = 10/2 = 5 FT

h = 12 FT

\rm V = \pi (5)^2 \times 12

V = 300π cubic FT

Volume of the cone:

\rm v = \dfrac{\pi r^2 h}{3}

\rm v = \dfrac{\pi (5)^2 \times 12}{3}

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

6 0
2 years ago
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