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3 years ago

Select the theorem that proves the triangles congruent. If the triangle cannot be proven congruent, select "not congruent."

Mathematics

1 answer:

icang [17]3 years ago

7 0

Answer:

Step-by-step explanation:

here they give you an angle C≅angle G, then a side DG≅ side CA and then an angle A≅angle D so is the

Angle-Side-Angle theorem or ASA

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0-4, 5-9, 10-14, 15-19, 20-24<br><br> Create a frequency distribution

timofeeve [1]

Answer:

the common difference is 4

Step-by-step explanation:

we can normally find out that the difference between the first item and the second item is 4

and the difference between the third item and fourth item is 4

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4 years ago

Which property is represented in the following statement ? If a = b, then a x c = b x c

Novay_Z [31]

Answer:

Step-by-step explanation:

property of equality for multiplication, property of equality for multiplication says that if a=b then axc=bxc. If you multiply the same number to both sides of an equation, the equation is still true.

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3 years ago

Mrs. Reynold’s sprinkle system has 9 stations that water all the parts of her front and back lawn. Each station runs for an equa

NeTakaya

Answer:

108 minutes

Step-by-step explanation:

48/4= 12 minutes per 1 station

9x12=108 minutes

4 0

3 years ago

Miguel is painting a cabinet shaped like a rectangular prism. He is going to paint all of the exterior sides except the top and

Oksana_A [137]

Answer:

40ft

Step-by-step explanation:

Please kindly see the attached file for more explanation

8 0

4 years ago

Pay your bills: In a large sample of customer accounts, a utility company determined that the average number of days between whe

blagie [28]

Answer:

(26.32; 57.68)

See explanation below.

Step-by-step explanation:

Assuming the following question:

Pay your bills:

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 42 with a standard deviation of 8 days. Assume the data to be approximately bell-shaped.

Between what two values will approximately 95% of the numbers of days be?

Solution to the problem

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the average number of days between when a bill was sent out and when the payment of a population, and for this case we know the distribution for X is given by:

$X \sim N(42,8)$

Where $\mu=42$ and $\sigma=8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.975$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.025 of the area on the left and 0.975 of the area on the right it's z=-1.96. On this case P(Z<-1.96)=0.025 and P(z>-1.96)=0.975

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-1.96$

And if we solve for a we got

$a=42 -1.96*8=26.32$

So the value of height that separates the bottom 2.5% of data from the top 97.5% is 26.32.

For the other value since the distirbution is symmetric the other value that accumulates 0.975 of the area on the left and 0.025 on the right is z=1.96 and similarly:

$z=1.96$

And if we solve for a we got

$a=42 +1.96*8=57.68$

So the answer for this case would be (26.32; 57.68)

3 0

3 years ago