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igor_vitrenko [27]
3 years ago
7

How to solve this equation

Mathematics
1 answer:
8090 [49]3 years ago
4 0
The negative in front of the parenthesis is canceling out the negative inside of the parenthesis since they are both negatives. Now, you just have to multiply both fractions and find the product.
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Find the area of the shaded region.
Sindrei [870]

Answer:

5x^2+28x+21

Step-by-step explanation:

  • First you want to find the area of the white rectangle
  • Then find the area of the beings rectangle
  • Then subtract beings minus white.

Hope it answers your question:)

5 0
3 years ago
Suppose 12% of students are veterans. From a sample of 263 students, how unusual would it be to have less than 22 veterans?
kkurt [141]

Answer:

Yes, both np and n(1-p) are ≥ 10

Mean = 0.12 ; Standard deviation = 0.02004

Yes. There is a less than 5% chance of this happening by random variation. 0.034839

Step-by-step explanation:

Given that :

p = 12% = 0.12 ;

Sample size, n = 263

np = 263 * 0.12 = 31.56

n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44

According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004

Z = (x - mean) / standard deviation

x = 22 / 263 = 0.08365

Z = (0.08365 - 0.12) / 0.02004

Z = −1.813872

Z = - 1.814

P(Z < −1.814) = 0.034839 (Z probability calculator)

Yes, it is unusual

0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.

7 0
3 years ago
In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y th
dsp73

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

7 0
3 years ago
How long in years, will it take for a quantity of plutonium-240 to decay to 25% of its original amount? K is the decay constant,
Andru [333]
Q(t)= 0.25Q k =0.00011 Now you can solve for t
5 0
3 years ago
Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
KatRina [158]

Answer:

$1690

Step-by-step explanation:

equation: 60w+550=s

work: 60(19)+550=s

1140+550=s

1690=s

3 0
3 years ago
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