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antoniya [11.8K]

Combine like terms to get -4x^2-2x

3 0

3 years ago

A random sample of 10 single mothers was drawn from a Obstetrics Clinic. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and

Sever21 [200]

Answer:

The two-tailed P value equals 0.2308

By conventional criteria, this difference is considered to be not statistically significant.

Step-by-step explanation:

Given is a random sample of 10 single mothers

the ages are given as

22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years

H0: Mean = 20

Ha: Mean not equals 20

(two tailed test at 5% significance level)

The hypothetical mean is 20.00

The actual mean is 21.30

The difference between these two values is 1.30

The 95% confidence interval of this difference:

From -0.99 to 3.59

t = 1.2851

df = 9

standard error = 1.012

The two-tailed P value equals 0.2308

By conventional criteria, this difference is considered to be not statistically significant.

6 0

3 years ago

You have 350 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

IrinaVladis [17]

The length and width that will maximize the area are 175 ft and 87.5 ft respectively

The largest area that can be enclosed is 15312.5 ft²

<h3>Area of a rectangle</h3>

area = lw

where

l = length

w = width

The fencing is 350 ft it is use to enclose a rectangular plot with a river occupying one part.

Therefore,

perimeter = l + 2w

350 = l + 2w

l = 350 - 2w

area = (350 - 2w)w

(350 - 2w)w = 0

where

w = 0 or 175

average = 175/2 = 87.5

Hence, the max area is at w = 87.5 ft

Therefore,

l = 350 - 2(87.5) = 175 ft

length = 175 ft

width = 87.5 ft

Therefore,

area = 175 × 87.5 = 15312.5 ft²

Therefore, the largest area that can be enclosed is 15312.5 ft²

learn more on rectangle here: brainly.com/question/11630499

4 0

2 years ago

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc

sveta [45]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is $\frac{2}{3}$ and her husband has not picked correct brand is also $\frac{2}{3}$ , since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$ .

4 0

3 years ago

Evaluate each expression for the given value of the variable.<br> x + 2x - x - 1; x = 2

MaRussiya [10]

x + 2x - x - 1

Substitute 2 for x into the expression.

(2) + 2(2) - (2) - 1

Multiply 2 * 2 first.

(2) + (4) - (2) - 1

Solve from left to right.
(2 + 4) - 2 - 1 = 6 - 2 - 1

6 - 2 - 1

Solve from left to right.
(6 - 2) - 1 = 4 - 1

4 - 1 = 3

<h3>Your answer is 3.</h3>

6 0

3 years ago

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