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Papessa [141]
4 years ago
12

8-x<5 solve the inequality and graph the solution

Mathematics
1 answer:
Naddika [18.5K]4 years ago
5 0

8 - x < 5      |-8

-x < -3       |change the signs

x > 3

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A certain rare form of cancer occurs in 37 children in a​ million, so its probability is 0.000037. In the city of Normalville th
sladkih [1.3K]

Answer:

Mean = 2.7

In a group of 74090 we would expect about 3 (rounding to nearest whole number) children with the rare form of cancer.

Step-by-step explanation:

We are given that the rate of cancer in children is 37 children in 1 million. So the probability of cancer in a child is P(C) = 0.000037

Poisson distribution is used to approximate the number of cases of diseases and we have to find what will be the mean number of cases for 74,090.

In simple words we have to find the expected number of children with cancer in a group of 74,090 children.

The mean value of expected value can be obtained by multiplying the probability with the sample size. So, in this case multiplying probability of child having a cancer with total group size will give us the expected or mean number of children in the group with cancer.

Mean = E(x) = P(C) * Group size

Mean = 0.000037 x 74090

Mean = 2.7

This means in a group of 74090 we would expect about 3 (rounding to nearest whole number) children with the rare form of cancer.

5 0
3 years ago
Riley has a piece of yarn that is 6 1/2 ft long. She wants to cut the yarn into sections that are each 1/4 ft long.
Semmy [17]

Answer:

26

Step-by-step explanation:

First take your too fractions.

6 1/2

1/4

Divided 6 1/2 by 1/4 to get your answer!

7 0
3 years ago
Read 2 more answers
3 chairs and 5 tables cost Rs 7540 .if the price of a chair is Rs 220 , find the price of a table .
Kay [80]

Answer:

Given - 3 chairs + 5 tables = 7540 rs

TO find - Price of table

Solution -

Price of chair is Rs 220 ( given)

1 chair = 220

3 chairs = ?

3 × 220

660 Rs

660 rs + 5 tables = 7540 rs

5 tables = 7540 - 660

5 tables = 6880

1 table = 6880/5

= 1376 rs

Price of 5 Table is 6880 and 1 table = 1376 rs

5 0
3 years ago
Read 2 more answers
Divide 254 by 11.8. Round your answer to the nearest hundredth. A. 20.97 B. 21.53 C. 21.35 D. 22.07
Rainbow [258]
The answer is B 21.53
7 0
3 years ago
Read 2 more answers
the annual interest on 17,000 investment exceeds the interest on an 11,000 investment by 308 . the 17,000is invested at a 0.4% h
solmaris [256]

keeping in mind that

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}

x =  percent rate for the 17000 investment.

y = percent rate for the 11000 investment.


so the amount for the 17000 interest will just be (x/100) * 17000, or namely 170x.

and the amount of interest earned for the 11000 is (y/100) * 11000, or just 110y.

now, regardless of what "x" and "y" are, we know that the interest from the 17000 is higher by 308 bucks, therefore 170x = 110y + 308.

we also know that the rate of <u>x</u> is higher as well than <u>y</u> by 0.4%, so then x = y + 0.4.


\bf \begin{cases} 170x=110y+308\\ \boxed{x}= y +0.4\\[-0.5em] \hrulefill\\ 170\left( \boxed{y+0.4} \right)=110y+308 \end{cases} \\\\\\ 170y+68=110y+308\implies 60y=240\implies y=\cfrac{240}{60}\implies \blacktriangleright y=\stackrel{\%}{4} \blacktriangleleft \\\\\\ x=y+0.4\implies \blacktriangleright x=\stackrel{\%}{4.4} \blacktriangleleft

3 0
4 years ago
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