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3 years ago

A DVD has a diameter of 14 centimeters. What is the area of the DVD? Round your answer to the nearest

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

The answer would be 153.94cm
Formula for the area of a circle is A=pi*r^2
Pi=3.14
R=14/2=7
A=3.14*7^2
A=153.94cm

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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 $\mu$ = mean weight of coffee in its containers.

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 One-sample t-test statistics 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, the test statistics = $\frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }$ ~ $t_1_4$

= -1.614

The value of t test statistics is -1.614.

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

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 we fail to reject our null hypothesis.

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

4 years ago

Find the midpoint of the segment with the following endpoints. (-4, 5) and (-1, 1)

Solnce55 [7]

Answer:

(-5/2 , 2)

Step-by-step explanation:

add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.

6 0

3 years ago

Investments increase exponentially by

Blizzard [7]

Using an exponential function, it is found that you would have $10,240 after 18 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

Considering the initial value of $2,500, and the growth rate of 60% every 6 years, the equation is given by:

$A(t) = 2500(1.6)^\frac{t}{6}$

Hence, after 18 years, the amount is given by:

$A(18) = 2500(1.6)^\frac{18}{6} = 10240$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0

2 years ago

Identify the solutions to the quadratic equation!

Elenna [48]

The solution to the quadratic equation are option C) x= -5 and option E) x=3.

Step-by-step explanation:

The given quadratic equation is x²+2x-15 = 0.

Using the factorization method,

product of the roots should be -15.
Sum of the roots should be 2.

⇒ -15 = 5 $\times$ -3

⇒ 2 = 5+(-3)

(x+5)(x-3) = 0

Therefore, x = -5 and x = 3

8 0

4 years ago

Evaluate log12y2, given log12y = 16. 4 32 256 65,536

Ann [662]

32 or 256 i didn’t understand exactly what you asked

8 0

4 years ago

Read 2 more answers