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2 years ago

Rewrite using a single positive exponent

Mathematics

1 answer:

fiasKO [112]2 years ago

5 0

Step-by-step explanation:

$\frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3}$

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The area of a rectangle is the product of its length and width.a rectangular poster has an area of 260 square inches.the width o

mina [271]

$\sf 260 = width \times length\\\\ w \ \textgreater \ 10; w = prime ~number\\\\\boxed{w = 13}$

13 is also divisible into 260.

The width is 13, and the length is 20

3 0

3 years ago

A research company found that 11% of the people that they called agreed to participate in a survey.

goldfiish [28.3K]

Answer:

22 people would be expected to participate in the survey.

Step-by-step explanation:

We are given that a research company found that 11% of the people that they called agreed to participate in a survey.

The company called 196 people and we have to find that how many would be expected to participate in the survey.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r}; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 196 people

r = number of success

p = probability of success which in our question is probability

that people agreed to participate in a survey, i.e; p = 11%

Let X = Number of people who agreed to participate in a survey

SO, X ~ Binom(n = 196, p = 0.11)

Now, the expected number of people who would participate in the survey is given by;

E(X) = $n \times p$

= $196 \times 0.11$ = 21.56 ≈ 22 people

Hence, 22 people would be expected to participate in the survey.

7 0

3 years ago

A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results

USPshnik [31]

Answer:

0.07776, 0.3456,0.08704

Step-by-step explanation:

Given that a new surgical procedure is said to be successful 60% of the time

Let X be the no of successes

Then X has only two outcomes and each trial is independent of the other

Hence X is binomial with p = prob of success in a single trial = 0.60

n = Number of operations performed = 5

Prob that

a) all five operations are successful =

$P(X=5)\\= (0.6)^5\\=0.07776$

(b) exactly three are successful

= $P(X=3) = 5C3 (0.6)^3(0.4)^2\\= 0.3456$

$==P(X$

3 0

3 years ago

the number cubes the Fifth grade math classes use are packed into a box. when the box is full, it has 5 rows of 4 cubes with 6 l

densk [106]

4x5=20. 20x6=120. 120-20=100 b)100

8 0

3 years ago

Read 2 more answers

Mrs. Brown is a social worker with a salary of $26000 per year. She also works 10 hours per week part-time on weekends at a reta

Masteriza [31]

26,000 + 10(52)(7.5) + 0.10(25,000) =
26,000 + 3900 + 2500 =
32,400 <== total early income

3 0

3 years ago