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katrin [286]
2 years ago
7

Use a composite figure to estimate the area of the figure.

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

Answer:

A) about 14u^2

Step-by-step explanation:

If you combine the two part filled units at the top of the figure, you can see that it makes a full unit.

The visual area is 15, so when you combine the part filled units, it will be about 14.

Hope this helped!

bezimeni [28]2 years ago
6 0
A) about 14 square units

You have 11 fully filled squares 2 that are mostly filled and 2 that are about half filled

So 11+2+2(1/2)= about 14
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Choices are associative property and commutative property opposite of a sum property
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It would be associative property because the order of the numbers stayed the same
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3 years ago
A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len
Gnom [1K]

Answer:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

df=n-1=93-1=92  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

Step-by-step explanation:

Information provided

\bar X=5.97 represent the sample mean for the length

s=0.4 represent the sample standard deviation

n=93 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:  

Null hypothesis:\mu = 6  

Alternative hypothesis:\mu \neq 6  

since we don't know the population deviation the statistic is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing in formula (1) we got:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

P value

The degrees of freedom are given by:

df=n-1=93-1=92  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

5 0
3 years ago
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 peopl
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Answer: The waiting time will be 32 minutes when 240 people in line.

Step-by-step explanation:

Let us assume that the waiting time is directly proportional to the number of people in the queue.

Equation of direct proportion between variables x and y :  \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

Put x_1=20,\ y_1=150,\ y_2=150  to find  x_2.

\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32

Hence, the waiting time will be 32 minutes when 240 people in line.

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D. 62.45h = 67.25
that is the answer
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In the diagram shown, what is the ratio of shaded parts to unshaded parts?
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