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3 years ago

"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"

Mathematics

1 answer:

spayn [35]3 years ago

5 0

Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

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The sum of two and three times the difference of a number and five is equal to four times the difference a number and one.

Andru [333]

Answer:

$x=-9$

Step-by-step explanation:

We translate the phrase into an equation:

$2+3(x-5)=4(x-1)\\$

Then we simplify:

$2+3(x-5)=4(x-1)\\2+3x-15=4x-4\\-13+3x=4x-4\\-9=x$

4 0

2 years ago

How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?

tatyana61 [14]

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

$\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

$\frac{42}{sin117}=\frac{34}{sinB}$

$sinB=\frac{34}{42}\times sin(117)$

sinB=0.7212

$B=46.161 ^{\circ}$

and A+B+C=180

$C=16.839^{\circ}$

Thus 2 triangles can be formed with given value

8 0

2 years ago

Please show me how to solve this equation step by step!<br> 1/25(20-t)=4/25t-3/5

rjkz [21]

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25 Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5 3*25/5 = 75/5

20 - t = 4t - 15 Add t to both sides

20 - t + t =4t + t - 15 Combine like terms

20 = 5t - 15 Add 15 to both sides

20 + 15 = 5t - 15 + 15 Combine like terms

35 = 5t Divide by 5

35/5 = 5t/5 Switch sides

t = 7 Answer

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2 years ago

Please help me with this thanks so much to whoever is helping me

netineya [11]

Answer:

X = 80

Step-by-step explanation:

A flat line is equal to 180 degrees, meaning that if you use linear, you can find out that if you subtract 100 from it, it becomes 80, which resembles the X.

8 0

1 year ago

Twenty-five percent of this square is shaded. what percent of the square is not shaded?

Travka [436]

Answer:

75%

Step-by-step explanation:

100-25 = 75

6 0

3 years ago