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zmey [24]
2 years ago
5

80 POINTS + BRAINLIEST !!!!!!!!

Mathematics
2 answers:
Gre4nikov [31]2 years ago
8 0

Solution:

we are given that

Clayton needs to reflect the triangle below across the line y=x.

And as we know the reflection of the point (x,y) across  the line y = x is the point (y, x).

Hence the new Traingle will be on the other side of the line y=x and position of x and y-coordinates of the vertices of the trangle gets interchanged.

Hence the Options that applies are:

C’ will move because all points move in a reflection.

The image and the pre-image will be congruent triangles. (Because reflection just changes the position of the trinagle not the property)

The image and pre-image will not have the same orientation because reflections flip figures.

GaryK [48]2 years ago
5 0

Point C’ will move because all points move in a reflection.  The image and the pre-image will be congruent triangles

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A coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces. A random sample of 15 co
Luda [366]

Answer:

We conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

Step-by-step explanation:

We are given that a coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces.

A random sample of 15 containers were weighed and the mean weight was 31.8 ounces with a sample standard deviation of 0.48 ounces.

Let \mu = <u><em>mean weight of coffee in its containers.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 32 ounces     {means that the mean weight of coffee in its containers is at least 32 ounces}

Alternate Hypothesis, H_A : \mu < 32 ounces      {means that the mean weight of coffee in its containers is less than 32 ounces}

The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;

                             T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean weight = 31.8 ounces

             s = sample standard deviation = 0.48 ounces

             n = sample of containers = 15

So, <u><em>the test statistics</em></u>  =  \frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }  ~ t_1_4  

                                      =  -1.614

The value of t test statistics is -1.614.

<u>Now, at 0.01 significance level the t table gives critical value of -2.624 at 14 degree of freedom for left-tailed test.</u>

Since our test statistic is more than the critical value of t as -1.614 > -2.624, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

8 0
3 years ago
find the digit in units place in the expansion of the following: 1) 2¹⁹⁶⁷ 2) 3¹⁹⁶⁹ 3)4¹⁹⁷⁰ 4) 4¹⁹⁷¹ 5) 5⁵⁵⁵ 6) 6¹⁰⁰⁰ 7) 7²⁰⁰⁷ 8)
diamong [38]

Answer:

troll

Step-by-step explanation:

troll!!!!!!!!!!!!!!!!!!!!!!

5 0
2 years ago
(-3.2) to the power of 0
stellarik [79]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
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masya89 [10]

Answer: y=2x

Step-by-step explanation:

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Read 2 more answers
I NEED HELP ASAP!!<br><br> 4(5)(-2)=?
vova2212 [387]
So, in an easier way to say it
4 × 5 × -2

You would start by doing 
4 × 5 = 20
Then,
 20 × -2 = 40 

So your answer is -40

Hope I helped ♥
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3 years ago
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