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3 years ago

Triangle LMN and QRS are similar. Find x.

1 answer:

5 0

<span>Line LM= x+5 and is proportional to line QR which equals 30. Line LN= 50 and is proportional to line QS which equals 75.
</span>The answer is 11.3

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Two fifth graders solved 400,000 divided by 800. Carter said the answer is 500, while Kim said the answer is 5,000.

mestny [16]

Answer:

a. Carter is correct. (See explanation).

b. The quotient is $500$ (The quotient of $400,000$ divided by $800$ and the quotient of is $4,000,000$ divided by $8,000$ are equal).

Step-by-step explanation:

a. Carter is correct.

The dividend $400,000$ and the divisor $800$ have two zeros in common, so we can eliminate those zeros. Then:

$4,000\div8$

We know that the quotient obtained by dividing $40$ and $8$ is $5$ :

$40\div8=5$

Since $4,000$ has two more zeros than $40$ , we must place two zeros in the quotient. Then:

$=500$

b. The dividend $4,000,000$ and the divisor $8,000$ have three zeros in common, so we can eliminate those zeros. Then:

$4,000\div8$

Notice that this is the same as the exercise "a". So the quotient will be the same.

Let's check. We know that:

$40\div8=5$

Since $4,000$ has two more zeros than $40$ , we must place two zeros in the quotient. This is:

$=500$

3 0

3 years ago

Read 2 more answers

3.1(g-7)-1=5.2 what is G

dimulka [17.4K]

Answer:

g=9

Step-by-step explanation:

Add 1 to both sides of the equation t get 3.1(g-7)=6.2

Then divide both sides by 3.1 to get g-7=2

Then add 7 to both sides to get g=9

4 0

3 years ago

A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard

FromTheMoon [43]

Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

For the restaurant that charges $1.35, the z-score is 1.43

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that $\mu = 1.25, \sigma = 0.07$

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.95 - 1.25}{0.07}$

$Z = -4.29$

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - 1.25}{0.07}$

$Z = -3.57$

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.35 - 1.25}{0.07}$

$Z = 1.43$

For the restaurant that charges $1.35, the z-score is 1.43

4 0

3 years ago

A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the ba

Naya [18.7K]

Option C: 0.8889 is the probability of choosing an orange marble and a green marble.

<h2>Given that:</h2>

Number of red marbles is 5

Number of orange marbles is 2

Number of yellow marbles is 1.

Number of green marbles is 2.

<h2>Explanation and Calculations:</h2>

So there are in total 10 marbles.

Two marbles can be chosen in $^{10}C_2$ ways = 90/8

Now the favorable event is when one green marble and one orange marble is chosen. The number of ways this can be done is $^{2}C_1 \times ^{2}C_1 = 4$