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3 years ago

Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).

1 answer:

7 0

Work:
21x-7y=12
-7y=12-21x
y= -12/7+3x

Point: (1,-3)

y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7

The equation is y= -12/7x- 9/7

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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

I NEED HELP PLEASE ASAP!!

hammer [34]

Answer:

Option B, 1

Step-by-step explanation:

tan 45° = 1/1 = 1

7 0

2 years ago

G/3 + 11 = 25 please help

pochemuha

Answer: g = 42

Step-by-step explanation:

g/3 + 11 = 25

First, subtract 11 to both sides

g/3 = 14

Then, multiply 3 to both sides to get rid of the fraction

g=42

8 0

3 years ago

Sabbir arrived at dhaka train station at 9 30 pm write this time using the 24hr clock

mezya [45]

Okay so a 24hr clock is very simple. We usually turn to "PM" when its 12:00 (day time).
In the 24hr clock we do not, we don't use PM or AM but its crucial to know when converting a standard clock time to military time (aka. 24hr).

9:30 PM in 24hr clock is 12:00 + 9:30 because 9:30 is past that first 12 hours.

So in 24hr clock time it is 21:30. You can also count backwards from midnight to figure it out, for example 12:00 AM (midnight), minus 9:30 is 2:30. Therefore 24:00-2:30=21:30.

Hopefully it helps, heart will help me alot too!

6 0

1 year ago

Read 2 more answers

If we consider the toss of four coins as an experiment, how many equally likely outcomes does the sample space have?

Arturiano [62]

There are 16 possible outcomes.

This is found by taking the number of possible outcomes for each toss, 2, and raising it to the 4th power (for 4 tosses):

2⁴ = 2*2*2*2 = 16

6 0

3 years ago