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Alika [10]
3 years ago
12

Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actu

al length of the classroom is 18 feet, and its width is 20 feet. What is the area of the scale drawing of the classroom?
Mathematics
1 answer:
Inga [223]3 years ago
5 0
Area = 18ft x 20ft = (18/3)cm x (20/3)ft = 6cm x 6.67 cm = 40cm^2
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NNADVOKAT [17]
1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
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4 0
3 years ago
Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.
Ludmilka [50]

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

7 0
3 years ago
A set of data with a mean of 53, and a standard deviation of 6.2 is normally distributed. Find the value of a data point that is
Evgesh-ka [11]

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

= 53- 6.2- 6.2

= 40.6

The value of a data point that is -2 standard deviations from the mean

53 + 6.2 + 6.2

= 65.4

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

7 0
2 years ago
A tortoise is walking in the desert. It takes
dlinn [17]

96 meters per hour :)


7 0
3 years ago
Read 2 more answers
Triangles PQR and XYZ are similar.
laiz [17]

Answer:

Option A. 5.25 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{PR}{XZ}=\frac{QR}{YZ}

substitute the given values

\frac{7}{XZ}=\frac{4}{3}

solve for XZ

XZ=7(3)/4\\XZ=5.25\ units

7 0
3 years ago
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