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pav-90 [236]
4 years ago
13

Estimate the product by rounding to the nearest thousand 7 × 3289

Mathematics
2 answers:
cluponka [151]4 years ago
8 0
I think it is 23,023
lidiya [134]4 years ago
5 0
7 x 3,000 = 21,000  in the simplest estimation
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The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni
Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188           (units are "people")

t + b = 38                                                                      (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b:   6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40.  Thus, b = 20   (booths)

There are 20 booths and (38 - 20), or 18, tables.

6 0
4 years ago
Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
Find the volume of the cone. Round you’re answer to the nearest truth if necessary. Use 3.14
S_A_V [24]

Answer:

1,961.6

Step-by-step explanation:

3 0
3 years ago
A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is The total number of outco
DENIUS [597]

Answer:4*3*2*1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help on number 18
zloy xaker [14]

Answer:

Volume = 35185.8 km^{3}

Step-by-step explanation:

Recall the formula for the volume of a cone: Volume = \pi  R^{2}  \frac{h}{3}

Where R is the radius of the cone's circular base (in your case half of 80 km,(that is 40 km)

And h stands for the height of the cone (in your case 21 km)

We replace such in the formula and calculate its final value:

Volume = \pi 40^{2} \frac{21}{3} = \pi  1600 \frac{21}{3} = \pi 1600 (7) = 35185.83772...

We round it to the number of decimals your problem request (let's say to one decimal) and also include the cubic units:

Volume = 35185.8 km^{3}

7 0
3 years ago
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