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2 years ago

Sophie is paid by the number of projects completed each month. Her monthly earnings are listed below. Based on Sophie's

Mathematics

1 answer:

Ivahew [28]2 years ago

7 0

Answer:

The June month salary is closest to her average monthly salary

The Sophie's average Monthly salary income = 3332.2

Step-by-step explanation:

Explanation:-

Given data Sophie's monthly earnings below

June $3,614

July $2,873

August $4,464

September $3,721

October $1,989

The mean or expected number

= ∑x/n

The Sophie's average Monthly salary income

= $\frac{3614+2873+4464+3721+1989}{5}$

= $\frac{16,661}{5}$

= 3332.2

The June month salary is closest to her average monthly salary

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In circle C, r = 32 units.

lawyer [7]

Answer:

the area of a circle is $\pi$ rsqr

32 x 32 =1024 $\pi$

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 943 peas, with 717 of them hav

pshichka [43]

Using the normal approximation to the binomial distribution, it is found that:

a) 0.242 = 24.2% probability of getting 717 or more peas with red flowers.

b) Since Z < 2, 717 peas with red flowers is not significantly high.

c) Since 717 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

For each pea, there are only two possible outcomes. Either they have a red flower, or they do not. The probability of a pea having a red flower is independent of any other pea, which means that the binomial distribution is used to solve this question.

Binomial distribution:

Probability of x successes on n trials, with p probability.

Normal distribution:

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

If Z > 2, the result is considered significantly high.

If $np \geq 10$ and $n(1-p) \geq 10$ , the binomial distribution can be approximated to the normal with:

$\mu = np$

$\sigma = \sqrt{np(1-p)}$

In this problem:

943 peas, thus, $n = 943$
3/4 probability of being red, thus $p = \frac{3}{4} = 0.75$ .

Applying the approximation:

$\mu = np = 943(0.75) = 707.25$

$\sigma = \sqrt{np(1-p)} = \sqrt{943(0.75)(0.25)} = 13.297$

Item a:

Using continuity correction, this probability is $P(X \geq 717 - 0.5) = P(X \geq 716.5)$ , which is 1 subtracted by the p-value of Z when X = 716.5.

Then:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{716.5 - 707.25}{13.297}$

$Z = 0.7$

$Z = 0.7$ has a p-value of 0.758.

1 - 0.758 = 0.242

0.242 = 24.2% probability of getting 717 or more peas with red flowers.

Item b:

Since Z < 2, 717 peas with red flowers is not significantly high.

Item c:

Since 717 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

A similar problem is given at brainly.com/question/25212369

6 0

2 years ago

!!!PLEASE HELPP ME!!

Annette [7]

Answer:

negative :)

Step-by-step explanation:

hope this helps

6 0

2 years ago

Read 2 more answers

It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in y hours. If machine A operates alone

nlexa [21]

Answer:

The expression that shows how long the two machines will operate simultaneously is:

$\frac{y(100x-z)}{x+y}$

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

$\frac{z}{x}$

So, the remaining decks are given by:

$100-\frac{z}{x}=\frac{100x-z}{x}$

Then, the combined rate of machines A and B would be:

$\frac{1}{x} +\frac{1}{y} =\frac{x+y}{xy}$

The work-rate formula is:

$Amount= Rate \times Time$

Hence, the time that the two machines work simultaneously is:

$Time=\frac{Amount}{Rate}$

$Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}$

3 0

3 years ago

Consider the line that passes through each pair of given points, and decide what type of slope the line has.

pogonyaev

Answer:

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Step-by-step explanation:

Slope is defined as the steepness of a line.

Slope is denoted by m and the formula for calculating slope is:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) and (x2,y2) are coordinates of the points through which the line passes

Now,

For (2, 4) and (5, 1):

$m = \frac{1-4}{5-2} = \frac{-3}{3} =-1$

NEGATIVE

For (3,5) and (-1,2)

$m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}$

POSITIVE

For (-7, 8) and (-7,0)

$m = \frac{0-8}{-7+7} = \frac{-8}{0}$

UNDEFINED

For (6.-3) and (4, -3)

$m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0$

ZERO

Hence,

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

8 0

2 years ago