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3 years ago

Find the slope of each line (no links I’ll report)

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Answer:

Slope = ⁵/7

Step-by-step explanation:

Slope (m) = change in y / change in x

Using two points on the graph, (-4, -4) and (3, 1),

Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7

Slope (m) of the line = 5/7

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A cylinder had a diameter of 17 cm and a height of 11 cm. ehat is the volume of the cylinder

tester [92]

Answer:

2496.78

Step-by-step explanation:

7 0

3 years ago

Express each number in its simplest radical form. √6⋅√60=?

Tom [10]

Answer:

6√10

Step-by-step explanation:

factorizing 6 and 60

6 = 2 x 3

60 = 2 x 2 x 3 x 5

hence

√6 · √60

= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]

= √ (2· 2² · 3² · 5)

= √ (2² · 3²) x √(2·5)

= (2 · 3) x √10

= 6√10

5 0

3 years ago

Read 2 more answers

G evaluate the given integral by changing to polar coordinates. e−x2 − y2 da d where d is the region that lies to the left of th

d1i1m1o1n [39]

Wages wages wages wages wages wages wages wages wages wages wages wages wages

7 0

3 years ago

In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars

GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

Let X = incomes for the industry

So, X ~ N( $\mu=95,\sigma^{2}=5^{2}$ )