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ss7ja [257]
3 years ago
9

Berta, Maya, and Zach are in different checkout lanes at a store. Berta has 3 more people in front of her than are in front of M

aya. There are two times as many people in front of Zach as there are in front of Maya. The total number of people in front of the girls is 11. How many people are in front of each person?
Mathematics
1 answer:
erica [24]3 years ago
4 0
Maya=2
Berta=5
Zach=4
Total=11
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Write a real world problem for the following equation:<br> 80-3x=53
Afina-wow [57]

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify by both sides of the equation.

80-3x=53

80+-3x=53

-3x+80=53

Step 2: Subtract 80 from both sides.

-3x+80-80=53-80

-3x=-27

Step 3: Divide by both sides by 3.

-3x/-3 = -27/-3

x=9

4 0
3 years ago
A relay race is 1/10 kilometer long. Four athletes will run an equal distance to complete the relay. How far does each athlete r
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25 metres. Because 1/10th of a kilometre is a 100 metres. And four athletes divided by 100 metres is 25 metres.
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3 years ago
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OLEGan [10]

Answer/Step-by-step explanation:

The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:

4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given

Apply the distributive property to open the parentheses

4*2a + 4*3 = -3*a -3*-1 + 31 - 11a

8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property

Combine like terms together

8a + 12 = 3 + 31 -3a - 11a

8a + 12 = 34 - 14a ---› Combining like terms

Add 14a to both sides

8a + 12 + 14a = 34 - 14a + 14a

22a + 12 = 34 ----› Addition property

Subtract 12 from both sides

22a + 12 - 12 = 34 - 12

22a = 22 ----› subtraction property of equality

Divide both sides by 22

22a/22 = 22/22

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7 0
2 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
2 years ago
8x+4y=-20 in function form
svetoff [14.1K]
Y= -2x-5
 
Work:

8x+4y=-20
4y=-20-8x
y= -2x-5
6 0
3 years ago
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