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True [87]
3 years ago
5

Suppose that a diamond weighs 0.0182 carat.What is that number in expanded form

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0
0.0182=(0 x 1)+ (0/10) + (1/100) + (8/1000) + (2/10000).
You might be interested in
A pile of 42 coins worth $4.90, consisting of nickels and quarters. How many nickels are there?
Ymorist [56]

Answer:14

Step-by-step explanation:

A nickel is 5 cents (20% of dollar)

and a quarter is 25 cents (25% of dollar)

We have given a pile of 42 coins worth of $4.90

Let x be the no nickels and

y be the no of quarter

therefore

x+y=42    -----1

\frac{x}{4}+\frac{y}{20}=4.90 ---2

Solving \left ( 1\right )&\left ( 2\right ) we get

x=14 & y=28

Therefore no of nickels is 14 & no of quarters is 28

6 0
2 years ago
Which expression should you simplify to find the 90% confidence interval,
Alex787 [66]

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287

0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value is:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287

0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

8 0
2 years ago
Saleem has $20. A fish tank that he wants to buy costs $140. He earns $23 per day at a restaurant. Saleem wants to know how many
mr_godi [17]

Answer:

Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.

Step-by-step explanation:

In order to create an inequality to this problem we first need to take the initial amount he has and sum it with the days he has to work "x" multiplied by the amount he earns each day. We then have:

saleem money = 20 + 23*x

Since he wants to buy a $140 fish tank he needs to work until his money is greater or equal than this amount. So we have:

23*x + 20 >= 140

23*x >= 140 -20

23*x >= 120

x >= 120/23

x >= 5.22

Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.

3 0
3 years ago
What is the y-intercept of y = 4x?
lukranit [14]

Answer:

y-intercept: (0,0)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If 2s +10r = 2(2s-5r) = 42, then what is the value of r?
Lesechka [4]
R=7/5
You can list two equations:
2s+10r=42 and 4s-10r=42.
Then try to delete S, you will get r
5 0
3 years ago
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