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Vinvika [58]
3 years ago
5

A line on a graph that passes through the point (-3,2) has a slope of 2/3.

Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0

Answer:

Step-by-step explanation:

question asked: A line on a graph that passes through the point (-3,2) has a slope of 2/3.

how to get y intercept:

2=2/3(-3)+b

2=-2+b

4=b

y intercept is 4

equation:

y=2/3x+4

baherus [9]3 years ago
5 0

(1) y intercept= 4

and equation of line

y= 2x/3 + 4

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Suppose that in a random selection of 100 colored​ candies, 24​% of them are blue. The candy company claims that the percentage
LuckyWell [14K]

Answer:

We conclude that the percentage of blue candies is equal to 23​% at 0.01 significance level.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 24​% of them are blue.

The candy company claims that the percentage of blue candies is equal to 23​%.

<u><em>Let p = percentage of blue candies.</em></u>

So, Null Hypothesis, H_0 : p = 23%      {means that the percentage of blue candies is equal to 23​%}

Alternate Hypothesis, H_A : p \neq 23%      {means that the percentage of blue candies is different from 23​%}

The test statistics that would be used here <u>One-sample z proportion test statistics</u>;

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

where, \hat p = sample proportion of blue colored candies = 24%

           n = sample of colored​ candies = 100

So, <em><u>test statistics</u></em>  =  \frac{0.24-0.23}{\sqrt{\frac{0.24(1-0.24)}{100}}  }

                               =  0.234

The value of z test statistics is 0.234.

<u>Now, at 0.01 significance level the z table gives critical values of -2.5758 and 2.5758 for two-tailed test.</u>

<em>Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis.</em></u>

<em />

Therefore, we conclude that the percentage of blue candies is equal to 23​%.

6 0
3 years ago
Find x in the diagram below. T 1 35.4° 20.2° 252​
Colt1911 [192]

Answer:

that is the answer in the photo above

3 0
3 years ago
If y=4x + 3 find the value of y when x= -2
Oliga [24]
Y=4(-2)+3
y= -8+3
y= -5
3 0
3 years ago
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Select whether each equation has no solution, one solution, or infinitely many solutions. No Solution One Solution Infinitely Ma
Lyrx [107]

Answer:

Step-by-step explanation:

7x + 14 = 14 x + 7

-7x = -7

x = 1 (one solution)

~~~~~~~~~~~~~~~~~

5 x + 8 = 8 + 5 x

0 =0 (infinite solutions)

~~~~~~~~~~~~~~~~

9x = 9 x + 5 17

0 = 517 (no solution)

7 0
3 years ago
There is a pair of parallel sides in the following shape.<br><br> What is the area of the shape?
Mama L [17]

Answer:

The given shape is Trapezium

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=1/2×7×(11+3

=1/2×7×14

=49

Your answer is 49

3 0
2 years ago
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