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svlad2 [7]
3 years ago
14

Use the drawing tool(s) to form the correct answer on the provided graph.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Setting x=0, you can find the y-intercept:

  y = 4

Setting y = 0, you can find the x-intercept:

  2x = 4

  x = 2

The boundary line can be drawn through these intercept points, (0,4) and (2,0). Because the "equal to" case is not included, the boundary line will be dashed.

The y variable is on the open side of the comparison symbol (y>), so the shading is above the boundary line. That is where y-values are greater than those on the line.

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Need a number to solve ........
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3 years ago
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t
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Answer:

There is sufficient evidence to conclude that child booster seats meet the specific requirement.

Step-by-step explanation:

Sample: 697, 759, 1266, 621, 569, 432

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{4344}{6} = 724

Sum of squares of differences = 415616

S.D = \sqrt{\frac{415616}{5}} = 288.31

We are given the following in the question:  

Population mean, μ = 1000 hic

Sample mean, \bar{x} = 724

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = 288.31

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1000\text{ hic}\\H_A: \mu < 1000\text{ hic}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{724 - 1000}{\frac{288.31}{\sqrt{6}} } = -2.344

Now, t_{critical} \text{ at 0.05 level of significance, 5 degree of freedom } = -2.015

Calculation the p-value from table,

P-value = 0.033

Since,                  

Since, the p value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that the measurement is less than 1000 hic.

Thus, there is sufficient evidence to conclude that child booster seats meet the specific requirement.

4 0
4 years ago
How do you simplify the following problem?: 9−4d≥−3
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Answer:

d ≤3

Step-by-step explanation:

9−4d≥−3

Subtract 9 from each side

9-9−4d≥−3-9

−4d≥−12

Divide by -4, remembering to flip the inequality

-4d/-4 ≤ -12/-4

d ≤3

4 0
3 years ago
The circle below is centered at the point (1, 2) and has a radius of length 3.
Vitek1552 [10]

The equation is (x-1)^2+(y-2)^2=81

8 0
4 years ago
Apple juice and cranberry juice have been mixed in the ratio 4:5. If the price of apple juice is 45 cents per pint and the price
Contact [7]
The ratio of apple and cranberry juice is 4:5
The price of 1 pint of apple juice is $0.45
The price of 1 pint of cranberry juice is $0.08
from the ratio given, the price amount of apple juice in the mixture will be:
4/5×0.45=$0.36
the price amount of cranberry juice in the mixture will be:
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the price of the mixture will be given by:
0.36+0.016
=$0.376

3 0
3 years ago
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