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Yuri [45]
3 years ago
10

Abby is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those s

urveyed, do not want a new mall. How many people did Abby survey? Include the label "people" in your answer.
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Step-by-step explanation:

37.5% = 180people

100% = 180/37.5 x 100 = 480

answer: 480 people

Topic: percentage

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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Eliana is reading a 934 page book. She reads 16 pages per day in the book. If x represents the number of days Eliana has spent r
Aleks [24]
On the first day she wen from 934 - 16 pages. Then everyday after that means it would x - 16 pages = PL (PL = Pages Left) so the answer is x - 16 = PL
6 0
3 years ago
The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}

b) P(population with IQ between 120 and 125.)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%

P(120 \leq x \leq 125) = 4.4\%

6 0
3 years ago
Whats the sum of 3/8 and 1/16 <br><br>a 1/6<br>b 4/24<br>c 7/16<br>d 1/4
Andreyy89
3/8 + 1/16= 7/16 
so it's c. 7/16
6 0
3 years ago
How much gift wrap is
OlgaM077 [116]

Answer:

All we need to do here, is to find the total surface area.

In this case, we have:

2(18x12 + 18x4 + 12x4) which is equal to 672

Let me know if this helps!

4 0
3 years ago
Ryan bought 6 apples and 9 peaches for a total of $7.86. Madi bought 4 apples and 5 peaches for $4.82.
sergey [27]
Let's call:
a = price of 1 apple
p = price of 1 peach

The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
\left \{ {{6a + 9p = 7.86} \atop {4a + 5p = 4.82}} \right.

Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4

Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
7.23 - (15/2)p + 9p = 7.86
(3/2)p = 0.63
p = 0.42

Now, substitute this value in the formula found for a:
<span>a = (4.82 - 5·0.42) / 4</span>
   = 0.68

Therefore, one apple costs 0.68$ and one peach costs 0.42$.
6 0
3 years ago
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