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olga nikolaevna [1]
3 years ago
8

Translate each sentence into an equation

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

1. X/2 = 4

2. 3x - 2 = 11

3. 2x - 5 = 15

4. 2x-1=12

5. 9x = 2(x+5)

Step-by-step explanation:

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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
Given: f(x) = x + 2<br> [f(x)]^2=
klemol [59]

Answer:

f − 1(x)=x−2 if you are talking about the inverse

please comment what is the purpose of this excersise so i can help you further

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How do you solve U/6=9
notsponge [240]
/ means divide, so U( an unknown value ) / 6 = 9. to get the answer, simply multiply  6 x 9 
6 0
3 years ago
What's the answer <br> BchbhbdbhdjbcdjcnjcjndJncjjj
Olenka [21]
Answer: 1,3,6

Explanation:
7 0
3 years ago
How to solve 2x + 3(5-x)-12=4(x+2) step by step
larisa86 [58]
2x+3(5-x)-12=4(x+2)

Distribution property:
2x+15-3x-12=4x+8
Add like terms:
-1x+3=4x+8
Add 1x to both sides:
3=5x+8
Subtract 8 from both sides:
-5=5x
Divide by 5 on both sides to get x by itself:

x= -1
3 0
3 years ago
Read 2 more answers
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