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3 years ago

5

Sally was told to drink 2 cups of milk. Sally drank 2/5 of a cup of milk at lunch and 5/7 of a cup of milk at dinner. In total,

how many cups of milk did Sally drink today?

1 answer:

IgorC [24]3 years ago

7 0

Do 2/5+5/7 and there's your answer. 2/5+5/7=14/35+25/35=39/35=1 4/35. :)

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Which expression is equivalent to

Kruka [31]

Answer:

B) 1/x^2

Step-by-step explanation:

Simplify the following:

x^9/x^11

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.

Combine powers. x^9/x^11 = x^(9 - 11):

x^(9 - 11)

Hint: | Evaluate 9 - 11.

9 - 11 = -2:

Answer: x^(-2) = 1/(x^2)

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2 years ago

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist

Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

$n=1200$ random sample taken

$\hat p=\frac{620}{1200}=0.517$ estimated proportion of people that would vote for the Republican candidate

$p$ true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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 population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1- p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

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

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The problem says that we need to use $\hat p =0.05$ , and replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604$

And rounded we have that n=9604

6 0

2 years ago

Which figures have rotation symmetry?<br> Select each correct answer

goblinko [34]

Answer:

The both on the right are the correct answers

Step-by-step explanation:

This is because rotational symmetry is defined as the property a shape has when it looks the same after some rotation by partial turns.

8 0

3 years ago

How To Round 17 5/8 To The Nearest Whole Number

Verdich [7]

<span><u><em>Answer:</em></u>
18

<u><em>Explanation:</em></u>
To round a number to the nearest whole number, we would check the fraction part:
If the fraction is <u>less than</u> 0.5, then we would simply ignore the fraction
If the fraction is <u>equal to or more than </u>0.5, then we would add 1 to the whole number and eliminate the fraction.

<u>In the given , we have:</u>
</span> $17 \frac{5}{8}$ <span>.

The fraction part is </span> $\frac{5}{8}$ <span> which is greater than 0.5
This means that we would add one to the whole number (round it up) and eliminate the fraction.
Therefore, the answer would be 18.

Hope this helps :)</span>

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3 years ago

An iceberg weights 450,000 pounds. If it loses 0.2% of its weight in a day, what is its new weight at the end of the day?

Papessa [141]

Answer:

449,100 pounds

Step-by-step explanation:

.2% as a decimal is 0.002. To find .2% of 450,000, you multiply it. The answer is 900 pounds. Because it is losing that amount, you subtract it. 450,000-900= 449,100 pounds

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3 years ago