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leonid [27]
3 years ago
8

Which represents a unit rate?

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

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Mary runs in the Chicago marathon and it takes her 5 hours to complete it. Write a
klasskru [66]
If you want to keep it technical, the normal “/unit rate” for running is minutes per mile. You can use dimensional analysis like I did below to find the answer. You should get 11.45 min/mile or about 11 min 25 sec per mile

8 0
3 years ago
A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co
kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(test scores is between 411 and 649)

P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

b) P(scores is less than 411 or greater than 649)

P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%

c) P(score greater than 768)

P(x > 768)

P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)

= 1 - P(z \leq 2)

Calculation the value from standard normal z table, we have,  

P(x > 768) = 1 -0.977 = 0.023 = 2.3\%

5 0
3 years ago
Jaymile wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments w
andre [41]

Answer: See below

Step-by-step explanation:

  • Both will use the straight edge to make segments and use the compass to take measurements.
  • They will draw a line with a straight edge and will find a starting point, then with a compass:
  • Annie will take the measurement of the segment and, from the starting point of the line, will put in the other point to obtain the congruent segment.
  • But in Jaymie's case, she will need to do a little more work with a compass because to build congruent angles, she will need to make a semi-circle in the original angle and transfer this measurement to the new line to construct the angle.
4 0
2 years ago
What is the sine of angle C?
ololo11 [35]

Answer:

4/5 or 53°

Step-by-step explanation:

soh

cah

toa

you want soh

sine=opposite/hyp

therefore sine of C is 4/5

to find the degrees you have to something a lil different.

sin^-1 (theta)= 4/5

sin^-1(4/5)=theta

53°=theta

8 0
2 years ago
Graph the line<br>y-3x= 3​
Mnenie [13.5K]
(-1, 0) (0, 3)
these are the coordinates for the graph
7 0
3 years ago
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