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riadik2000 [5.3K]
2 years ago
9

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞)

Mathematics
1 answer:
kvasek [131]2 years ago
8 0

-3(6- 2x) \geq4x + 12\\\\-18+6x\geq4x+12\\\\2x\geq30\\\\x\geq15\\\\x\in[15,\infty)

So, the last one.

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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
Is this set closed or not closed under the operation ? Negative integers under multiplication
Romashka [77]

The set is not closed

Example:

-4 * -3 = 12  this is not a negative integer

5 0
3 years ago
What is the bi-conditional statement of the conditional statement below? What is the truth value?
ozzi

Answer:

I doesn't know but, I blow your junk

Step-by-step explanation:

Because it could be any of these

6 0
3 years ago
815 gal/h=_______qt/sec
Nastasia [14]
815 x 360 =  293,400 gal per second.

293,400 gal ÷ 4 quarts = 73,350 quarts per sec.

I'm fairly certain that's right - someone correct me if I'm mistaken.
6 0
3 years ago
What is the value of x? leave your answer in simplest radical form.
Masteriza [31]

Answer:

2 sqrt(5) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

2^2 +4^2 = x^2

4+16 = x^2

20 = x^2

Take the square root of each side

sqrt(20) = sqrt(x^2)

sqrt(4*5) = x

sqrt(4) sqrt(5) =x

2 sqrt(5) =x

5 0
3 years ago
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