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3 years ago

How do I solve this equation?

Mathematics

1 answer:

valentina_108 [34]3 years ago

6 0

The area of the outer shape = 4π
the area of the two hemispheres inside are = 4π

In conclusion, the two parts of the shaded area must be equal.
For the calculation of the lower shaded area, see the attached pictures:

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What does -2(3x-4)=8 mean??

Tom [10]

-2(3x-4)=8
-6x + 8 = 8
-6x = 0
x = 0

6 0

3 years ago

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

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

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

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

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0

3 years ago

Candace has $20 more than Amar. Their combined money totals $95. Write a system of equations represents this situation

STALIN [3.7K]

Answer:

Candace has $57.5 and Amar has $37.5.

Step-by-step explanation:

x+(x+20)=z

x+20=y

x+y=z

--------------

2x+20=95

2x=95-20

2x=75

x=75/2

x=37.5

37.5+20=y=57.5

5 0

3 years ago

Read 2 more answers

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Sunny_sXe [5.5K]

Step-by-step explanation:

hopefully it is visible and makes sense

8 0

2 years ago

Numbers 4,5,6 !! Please help

aleksandrvk [35]

Answer:

4) VW= 23

5) VW= 12

6) VW= 75

Step-by-step explanation:

VU= 31

WU= 8

subtract 8 from 31

VW= 23

UW= 18

UV= 6

subtract 6 from 18

VW= 12

UV= 30

WU=45

add 30 and 45

VW= 75

7 0

3 years ago