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elena-14-01-66 [18.8K]
3 years ago
14

Find the Y intercept of the graph

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

6

Step-by-step explanation:

The intercept would be 6 because that's the point on the Y line or the line going vertically.    

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A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Mandarinka [93]

Answer:

(a) Null Hypothesis, H_0 : \mu = 22 ounces  

    Alternate Hypothesis, H_A : \mu\neq 22 ounces

(b) The value of the test statistic is -2.687.

(c) The critical values are -1.96 and 1.96.

(d) We conclude that Reject H_0 since the value of the test statistic is less than the negative critical value.

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle.

He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

<em>Let </em>\mu<em> = average ounces of passion fruit juice used to fill each bottle.</em>

(a) So, Null Hypothesis, H_0 : \mu = 22 ounces     {means that the average of 22 ounces of passion fruit juice is used to fill each bottle}

Alternate Hypothesis, H_A : \mu\neq 22 ounces     {means that the average different from 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                        T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounce

            n = sample of bottles = 65

So, <u><em>test statistics</em></u>  =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }  

                               =  -2.687

(b) The value of z test statistics is -2.687.

(c) Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics does not 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 </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that Reject H_0 since the value of the test statistic is less than the negative critical value which means that the average different from 22 ounces of passion fruit juice is used to fill each bottle.

6 0
3 years ago
X-5y-z=-20<br><br>-2x-y-6z=25<br><br>-x-4y-z=-15<br>Solve by elimination
Tju [1.3M]

Answer:

x = 0

y = 5

z = -5.

Step-by-step explanation:

X-5y-z=-20

-2x-y-6z=25

-x-4y-z=-15

Add equation 1 and 3:

-9y - 2z = -35 .......... A

Multiply the first equation by 2:

2x - 10y - 2z = -40

Now add this to equation 2:

-11y -8z = -15.............B

Now multiply equation A by -4:

36y + 8x = 140.........C

Add equations B and C:

25y = 125

y = 5.

Substitute for y in equation A:

-9*5 - 2z = -35

2z = -45 + 35 = - 10

z = -5.

Now find x by substituting for y and z in the first equation:

x - 5(5) - (-5) = -20

x - 20 = -20

x = 0.

6 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
ryzh [129]
(3x + 13) + (8x + 14) + 109 = 180°

(3x + 13) + (8x + 14) = 71°

11x + 27 = 71°

11x = 44°

x = 4
5 0
3 years ago
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What is the simplified form of -64 1/3? Need Help ASAP, will make brainliest answer :)!!!
alexgriva [62]
-64 1/3

disregard the negative sign for the moment...
to turn a mixed number into an improper fraction, take ur whole number (63) and multiply it by ur denominator (3) and u get (64 * 3) = 192....now add that to ur numerator (1) and u get (192 + 1) = 193...now put that over ur original denominator (3) and u get 193/3.....now put ur negative sign back....and u have - 193/3.....simplified form, does not reduce
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3 years ago
Edward constructs several similar rectangles using pieces of balm wood. The similar rectangles are based on a rectangle with a l
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J, all the other answer are constant to 5 and 3. 5 and 3 do not have multiples to both equal J.
4 0
3 years ago
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