What is..Simplify 15.8

There is a pair of parallel sides in the following shape.

Nutka1998 [239]

The area of the shape is 12 square units

<h3>Area of a trapezium</h3>

The given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 2

b = 10

h = 2

Substituting the given parameters

A = 0.5(2+10)*2
A = 0.2(12) * 2

A = 12 square units

Hence the area of the shape is 12 square units

Learn more on area of trapezium here: brainly.com/question/16904048

4 0

2 years ago

What is the slope of the function, represented by the table of values below?

Maslowich

Notice the table of values, thus let's pick two points from it, to check what the slope may be,

$\bf \begin{array}{l|ccccccc}
x&-2&\underline{1}&2&\underline{4}&7\\
y&16&\underline{4}&0&\underline{-8}&-20
\end{array}\\\\
-------------------------------$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 1}} &,&{{ 4}}~) 
% (c,d)
&&(~{{ 4}} &,&{{ -8}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-4}{4-1}\implies \cfrac{-12}{3}\\\\\\ \cfrac{-4}{1}\implies -4$

8 0

2 years ago

A large cube has 5 layers, each with 5 rows of 5 small cubes. How many small cubes will the larger cube contain? Explain Please

Flura [38]

125 because 5 times 5 times 5 equals 125

5 0

2 years ago

Read 2 more answers

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

3 years ago

Max wakes up at 7:00am. It take him 10 minutes to get dressed, and 5 minutes to eat breakfast. The bus will pick up max at 7:40a

irinina [24]

Note: I will be using the information in your attachment to answer the question.
Add the minutes to the initial time: 7:00 + 10 minutes + 7 minutes + 5 minutes = 7:22
He will be ready to board the bus at 7:22.
Subtract this time from the time the bus is schedule to pick him up: 7:40 - 7:22 = 18
Max will have 18 minutes before the bus picks him up.

3 0

3 years ago