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3 years ago

Multiply the polynomial expressions below,

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Answer:

Step-by-step explanation:

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Write the expression n n n n n n using an exponent. Name the base and the exponent.

fiasKO [112]

Answer:

n⁶

Step-by-step explanation:

Base= n

exponent=⁶

8 0

2 years ago

A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty

Setler [38]

Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: $\hat{p}=0.84$

Significance level : $\alpha= 1-0.98=0.02$

Critical z-value : $z_{\alpha/2}=2.33$ (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}$

i.e. $\approx0.84\pm 0.085$

i.e. $(0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)$

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

3 0

3 years ago

recipe for two dozen cookies calls for 234cups of sugar. How much sugar is needed to make one dozen cookies? A 38cupsover33, cup

gtnhenbr [62]

Answer:

117 cups

Step-by-step explanation:

two dozen cookies calls for 234cups of sugar

2 dozen cookies = 234 cups of sugar

How much sugar is needed to make one dozen cookies?

Let x = cups of sugar needed

1 dozen cookies = x cups of sugar

2 dozen cookies : 234 cups of sugar = 1 dozen cookies : x cups of sugar

2 : 234 = 1 : x

2 / 234 = 1 / x

Cross product

2*x = 234 * 1

2x = 234

x = 234 / 2

= 117 cups

Your options are wrong because none corresponds with the answer

3 0

2 years ago

What are the solutions of the quadratic equation (x + 3)(x +3) = 49? Ax = -2 and x = -16 Bx = 2 and x = -10 Cx = 4 and x = -10 D

Ivahew [28]

Answer:

4 and -10

Step-by-step explanation:

$\displaystyle (x + 3)(x +3) = 49 \\ x^2+3x+3x+9=49 \\ x^2 +6x+9=49 \\ x^2 + 6x + 9 - 49 = 0 \\x^2+6x-40=0 \\\\ \Delta=b^2-4ac \\ \Delta=6^2-4 \cdot 1 \cdot (-40) \\ \Delta=36+160 \\ \Delta=196 \\ \\ X_{1,2}=\frac{-b \pm \sqrt{\Delta} }{2a} \\ \\ X_1=\frac{-b+\sqrt{\Delta} }{2a} = \frac{-6+14}{2} = \frac{8}{2}=4 \\ \\ X_2=\frac{-b-\sqrt{\Delta} }{2a} = \frac{-6-14}{2}=\frac{-20}{2} = -10$

4 0

3 years ago

It takes 24 cups of chicken broth to make a chicken soup. How much is this in quarters?

vagabundo [1.1K]

Answer:

6 cups

Step-by-step explanation:

24*1/4 (1 quarter=1/4)

24/4

6 cups

8 0

3 years ago

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