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3 years ago

Which expressions are equivalent to 4b? 1.b+2(b+2b) 2.3b+b 3.2(2b)

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

Answer:

b+2(b+2b) = 7b so this is incorrect.

3b + b = 4b (correct)

2 * 2b = 4b (correct)

The answer is 3b + b and 2 (2b)

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What is |-3+45-(-14)|+(-|-87+12/46| simplified

USPshnik [31]

|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication

the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56

56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913

4 0

3 years ago

Write fraction in "Simpilist Form". If already , then write "Simpilist Form". The Fraction is: 3 over 100 - 3/100

dezoksy [38]

Answer:

see explanation

Step-by-step explanation:

A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator

(1)

$\frac{3}{100}$ ← is in simplest form

(2)

$\frac{2}{5}$ ← is in simplest form

(3)

$\frac{10}{12}$ ( divide numerator/ denominator by 2 )

= $\frac{5}{6}$ ← in simplest form

8 0

3 years ago

Average box of crackers is 24.5 ounces with standard deviation of. 8 ounce. What percent of the boxes weigh more than 22.9 ounce

34kurt

Answer:

97.7% of of the boxes weigh more than 22.9 ounces.

15.9% of of the boxes weigh less than 23.7 ounces.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24.5 ounces

Standard Deviation, σ = 0.8 ounce

We are given that the distribution of boxes weight is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(boxes weigh more than 22.9 ounces)

P(x > 22.9)

$P( x > 22.9) = P( z > \displaystyle\frac{22.9 - 24.5}{0.8}) = P(z > -2)$

$= 1 - P(z \leq -2)$

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

$P(x > 22.9) = 1 - 0.023 =0.977= 97.7\%$

97.7% of of the boxes weigh more than 22.9 ounces.

b) P(boxes weigh less than 23.7 ounces)

P(x < 23.7)

$P( x < 23.7) = P( z < \displaystyle\frac{23.7 - 24.5}{0.8}) = P(z < -1)$

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

$P(x < 23.7) =0.159= 15.9\%$

15.9% of of the boxes weigh less than 23.7 ounces.

7 0

3 years ago

A cylinder has a radius of 5 cm and a height of 12 cm, what is the volume?

nika2105 [10]

Step-by-step explanation:

In a cylinder

Radius=r=5cm
Height=h=12cm

We know that

$\boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3}$