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7nadin3 [17]
4 years ago
14

Jack use the place value chart below to show 1,826.5. Jack divided 1,826.5 by a number to get a quotient of 18.265 which he wrot

e on the second line of the chart. What number did Jack divide 1,826.5 by to get a quotient of 18,265?
Mathematics
1 answer:
Annette [7]4 years ago
3 0

Answer:

<h3>100</h3>

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

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El área de un decágono regular cuya apotema mide 5,08 cm y la longitud de su lado es 3,3 cm.
jeyben [28]

Answer:

83.82 cm^2

Step-by-step explanation:

Aquí, queremos calcular el área de un decágono dada su apotema y la longitud de su lado.

Matemáticamente;

Área de decágono = 1/2 * perímetro * apotema

Donde perímetro = 10 * s

donde s es la longitud de los lados

Entonces el área aquí sería; 1/2 * 10 (3.3) * 5.08 = 83.82 cm ^ 2

4 0
3 years ago
Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
Mindy makes an annual salary of $24,590. What is the maximum monthly rent she could afford to pay?
Otrada [13]
24590/12=2029.166....
Your answer would be $2049.17
6 0
3 years ago
Read 2 more answers
If the population of a state was 4702644 how many representatives should that state have
WARRIOR [948]
There is not an exact way to answer that question. The number of representatives each state has is determined by the population. However, the total number of house representatives has been capped at 435 since 1913. Currently, the ratio of constituents to representatives is 700,000 to 1. So if you divide the total population by 700,000 you will have an approximation of the number of representatives.
8 0
3 years ago
PLEASE HELP ME PLSSSS I WILL MARK YOUR BRAINLIEST Kalie puts 6 stickers on her desk. Each sticker is 1/2 centimeters wide by 3/5
Damm [24]

Answer:

Total area: 9/5 square cm, or in decimal form 1.8 square cm

Step-by-step explanation:

Notice that each sticker is 1/2 cm by 3/5 cm, therefore they area is 1/2 times 3/5 = 3/10  square cm.

since she uses 6 of them, we need to multiply the area of each by 6 in order to get the total area:

6 times 3/10 = 18/10 square cm = 9/5 square cm or in decimal form 1.8 square cm

8 0
4 years ago
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