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Verdich [7]
3 years ago
10

How to write 1,010,101.101 in expanded form

Mathematics
1 answer:
grigory [225]3 years ago
7 0
1,000,000 + 10,000 + 100 + 1 + 0.1 + 0.001
You might be interested in
Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to rec
nirvana33 [79]

Answer:

The minimum score required for recruitment is 668.

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 461 \sigma = 118

Top 4%

A university plans to recruit students whose scores are in the top 4%. What is the minimum score required for recruitment?

Value of X when Z has a pvalue of 1-0.04 = 0.96. So it is X when Z = 1.75.

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

1.75 = \frac{X - 461}{118}

X - 461 = 1.75*118

X = 667.5

Rounded to the nearest whole number, 668

The minimum score required for recruitment is 668.

8 0
3 years ago
ASAP ! The radius of a circle is 12 ft.
vfiekz [6]

Answer:

Area of sector bounded by angle = 100.37 ft² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 12 feet

Arc angle θ = 80°

Find:

Area of sector bounded by angle

Computation:

Area of sector bounded by angle = [θ/360][πr²]

Area of sector bounded by angle = [80/360][(3.14)(12)²]

Area of sector bounded by angle =[0.22][(3.14)(144)]

Area of sector bounded by angle = [0.22][452.16]

Area of sector bounded by angle = 100.37 ft² (Approx.)

4 0
3 years ago
What is the distance between (5, 5) (5, -2)
Len [333]

Answer:

7 units

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:

d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7

So, the answer is 7 units.

4 0
3 years ago
Read 2 more answers
19. During a 2 3/4 hour assembly, each speaker spoke for 1/4 of an hour. How many speakers were there?​
atroni [7]

Answer:

11 speakers

Step-by-step explanation:

2 3/4 ÷ 1/4

11/4 ÷ 1/4

11/4 x 4/1 = 44/4 = 11

6 0
3 years ago
Read 2 more answers
If RY=7x+4, YC=10x-2, then what is the value of RC?
irina1246 [14]
If RY + YC = RC
7x+4=10x-2
3x=6
x=2
18+18=36=RC
The value of RC is 36
5 0
3 years ago
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