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4 years ago

-x+y=5; 4x+y=10 .

1 answer:

3 0

Part A: -x+y=5
+x +x
y=x+5
4x+x+5=10
5x+5=10
-5 -5
5x=5
x=1
1(-x) +y=5
-1+y=5
+1 +1
y=6
The solution is (1,6)
Part B:
-x+y=5
-1+6=5
5=5
4x+y=10
4(1)+6=10
4+6=10
10=10

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A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age,

MrRissso [65]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : $\mu=\ 25$

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Sample size : $n=50$

The formula to calculate the z-score :-

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4 years ago

What is the slope of the line that passes through the points (-1,1) and (1,-15)

Luda [366]

Answer:

$\boxed{\text{The slope is -8.}}$

Step-by-step explanation:

To find the slope of the line, you have to use a slope formula.

<u>Slope formula:</u>

$\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }$

⇒ y2=(-15)

⇒ y1=1

⇒ x2=1

⇒ x1=(-1)

<u>Rewrite the whole problem down.</u>

$\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}$

<u>So, the slope is -8, which is our answer.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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2 years ago

Chicken Delight claims that 90% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 90 or

kkurt [141]

<h2>Answer with explanation:</h2><h2></h2>

Let p be the population proportion of orders are delivered within 10 minutes of the time the order is placed.

Then according to the claim we have ,

$H_0:p=0.90\\\\ H_a:p\neq0.90$

Since the alternative hypothesis is two-tailed so the hypothesis test is a two-tailed test.

For sample ,

n = 90

Proportion of orders are delivered within 10 minutes of the time the order is placed= $\hat{p}=\dfrac{80}{90}\approx0.89$

Test statistics for population proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\=\dfrac{0.89-0.90}{\sqrt{\dfrac{0.90(0.10)}{90}}}\approx-0.32$

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Since the p-value is greater that the significance level (0.01), so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to support the claim that 90% of its orders are delivered within 10 minutes of the time the order is placed.

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3 years ago