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3 years ago

If the figures below are similar give the scale factor of figure a to b,20,17.5,16,14

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago

pipe A can fill a tank in 3 hours. if pipe B can fill the same tank in 2 hours, how many minutes will it take both pipes to fill

iren [92.7K]

Answer:

pipe A =3. pipe B=2 find LCM of 3 and 2 . it will be 6 . Then take 6×2/3 it will give you 4 minutes as the answer

5 0

2 years ago

Read 2 more answers

The graph of which function passes through (0,3) and has an amplitude of 3?

evablogger [386]

The choices are supposed to be
f(x) = sin x + 3
f(x) = cos x + 3
f(x) = 3 sin x
f(x) = 3 cos x

The amplitude is the value of the numerical coefficient of sin or cos. The only possible answers are
f(x) = 3 sin x
f(x) = 3 cos x

Next, the function must pass through the point (0,3)
3 sin 0 = 0 and
3 cos = 3

Therefore, the answer is
f(x) = 3 cos x

6 0

3 years ago

Read 2 more answers

Whats is the zero of function ? A -3 B-3/2 C-2/3 D-2

Brrunno [24]

Answer:

D. -2

Step-by-step explanation:

The zero of a function is always along the x-axis and in this case that's -2.

Hope this helps :)

4 0

3 years ago

Given: Circumscribed ABCD, AB=5, AD=8, CD=10. Find: BC

Lyrx [107]

Answer:

BC=7

Step-by-step explanation:

The circle can be circumscribed into the quadrilateral, if the sums of the opposite sides of the quadrilateral are eqaul.

Thus,

$AB+CD=AD+BC,\\ \\8+BC=5+10,\\ \\BC=15-8=7.$

5 0

3 years ago