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Annette [7]
3 years ago
13

In a 2011 survey of consumers , 3 out of 4 reporters that they received more emails than they can read. If 2224 consumers were i

ncluded in the survey,how many consumers reported that they received more emails than they can read?
Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0
This question can be solved using two methods. If 3/4 consumers said they could not read them all, that is 75% of the survey. If 2224 people participated, that is the whole, and not the part. So, your proportion would look like this. 75/100 = x/2224 is what it should look like. After solving the proportion, you should get 1668 people that could not read all of their emails. Another method is by multiplying decimals. If you have 75% , the decimal version would be .75. All you have to do is multiply 2224 by .75 and you should get your answer. The answer being (again) 1668. So it would be 1668 consumers that received more emails than they could read. Hope this helps, and have a nice day!
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What is the volume of a triangular prisim if the length is 4cm heigght is 3cm and width is 11cm
aniked [119]

Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,

Area of triangle = 0.5 × 4cm × 11cm

Area of triangle = 22 cm²

Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,

Volume of the triangular prism = 22cm² × 3cm = 66cm³

Hence, the volume of the triangular prism is 66cm².

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5 0
2 years ago
Give the digits in the ones place and the tenths place.<br> 86.59
mr_godi [17]
Digit in ones place- 6
Digit in tenths place- 5
4 0
3 years ago
Write the equation in spherical coordinates. (a) x2 y2 z2 = 64
vekshin1

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

<h3>How to rewrite the equation in spherical coordinates?</h3>

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

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8 0
2 years ago
4) A bank is offering 3.5% simple interest on a savings account. If you deposit
Gnom [1K]

Answer:

B. $840

Step-by-step explanation:

Given that

Rate of simple interest = 3.5%

Principal amount = $12,000

Time = 2 year

To find:

Interest earned = ?

Solution:

Formula for Simple Interest is given as:

S.I. = \dfrac{PRT}{100}

Where P is the principal amount

R is the annual Rate of interest

T is the time for which principal was invested.

Here, we are given that:

P = $12,000

R = 3.5%

T = 2 years

Putting all the values in the formula:

SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI  = \$840

So, answer is:

B. $840

4 0
3 years ago
The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
densk [106]

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97.  But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0
3 years ago
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