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Lelu [443]
2 years ago
6

Solve the equation. a+3(a−1)=3(2+1) Enter the correct answer in the box. a=

Mathematics
1 answer:
Dmitry [639]2 years ago
5 0

Answer:

I feel like something is wrong with the equation but the answer is a = 3

Step-by-step explanation:

a + 3a - 3 = 6 + 3 = 9

--> 4a = 12 --> a = 3

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The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard
zvonat [6]

Answer:

a) 0.59871

b) 0.22663

e) 0.95994

Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

This means x > 64

Hence,

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x<64) = 0.40129

P(x>64) = 1 - P(x<64) = 0.59871

b.) shorter than 62 inches

Hence,

62 - 65/4

=- 3/4 =- 0.75

P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

For 68 inches

Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

e.) taller than 58 inches

Hence,

58 - 65/4

= -6/4 = -1.5

P-value from Z-Table:

P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

7 0
3 years ago
Help with this for brainliest
AysviL [449]

Answer:

1

Step-by-step explanation:

-9-(-10)

-9 + 10 (double negative makes a positive)

1

4 0
3 years ago
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
Rina8888 [55]

Answer:

Volume = 200.96 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula   V=\frac{1}{3}\pi r^2 h

Where r is the radius and h is the height

Given r = 4 and height is 3 times that. So height is 4*3 = 12

Plugging these into the formula we get:

Volume of Cone =  \frac{1}{3}\pi (4)^2 (12)\\=\frac{1}{3}(3.14)(16)(12)\\=200.96

Thus, Volume = 200.96 cubic feet

3 0
3 years ago
Which expression is equivalent to 2^4 ⋅ 2^−7?
yaroslaw [1]
Remember
(x^m)(x^n)=x^{m+n}
and
x^{-m}=\frac{1}{x^m}

so
(2^4)(2^{-7})=
2^{4-7}=
2^{-3}=
\frac{1}{2^3}=
\frac{1}{8}
8 0
3 years ago
Read 2 more answers
In the united states a person ears more than 40,000 pounds of bread in a lifetime if he or she lives to be 80 years old.Does thi
gogolik [260]

Answer:

A reality check quickly reveals that even if "eats" were spelled properly, the statement would still be nonsense.

Step-by-step explanation:

(40,000 pounds / 80 years) = (4,000 pounds / 8 years) = 500 pounds per year

500 pounds of bread per year = an average of a little more than 1-1/3 pound of bread per day, every day of a person's life.  My reality meter says that this is a bit much, especially in the USA.

3 0
3 years ago
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