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Lerok [7]
3 years ago
11

Sketch the number using base ten blocks 163

Mathematics
1 answer:
Alja [10]3 years ago
7 0
I don't if this is what u mean, but 1 flat, 6 rods, and 3 units.
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The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A prime, B prim
vesna_86 [32]

Answer:

y+6

Step-by-step explanation:

If we increase x then we need to do it with y by the same number.

We can not increase with different numbers.

Our rule of translation now is (x+6,y+6)

(x,y)=(x+6,y+6)

We have A(-6,2) then A'(0,8)

B(-5,5) then B'(1,11)

7 0
3 years ago
Read 2 more answers
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
gizmo_the_mogwai [7]

Answer:

When y=32, x=16.5

Step-by-step explanation:

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

We are given:

x varies inversely with y

We can write it as: x\:\alpha \:\frac{1}{y}

x=\frac{k}{y}

We have x = 132, when y=4

We can find value of k by using these values

x=\frac{k}{y}\\132=\frac{k}{4}\\k=132*4\\k=528

We need to find x when y=32

x=\frac{k}{y}\\x=\frac{528}{32}\\x=16.5

So, when y=32, x=16.5

6 0
3 years ago
Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books does he have now?
Helen [10]
Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.  

B = number of books in Ruben's collection before buying new ones

So, we know that when he bought 6 books, this increased his collection by 12%.

12% of his book collection would be represented by 0.12B.  Therefore, we know that:

0.12B = 6

Divide both sides by 0.12, to get to B = 50.

However, you are being asked how many books does he have now.  B represents the number of books he had before.  Therefore you want to add back the 6 books he just bought.

The answer is 50 + 6 = 56


7 0
3 years ago
A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (
cupoosta [38]

Answer:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

\mu=7 population mean (variable of interest)

\sigma=0.2 represent the population standard deviation

s=0.219 represent the sample deviation

n=15 represent the sample size

\alpha=0.05,0.01 represent the values for the significance level  

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: \sigma = 0.2

H1: \sigma \neq 0.2

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

3 0
3 years ago
Kim earned $96 babysitting for 12 hours. how much did she earn each hour
lianna [129]

Answer:

$8

Step-by-step explanation:

96 divided by 12 is 8

:)))))

7 0
3 years ago
Read 2 more answers
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