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4 years ago

Can someone please help

Mathematics

2 answers:

Alexxx [7]4 years ago

5 0

The first one is 24 ft

Leni [432]4 years ago

4 0

Answer:

1. 24 ft

B. 2

3. 150

4. 34

5. 864

6. 1925

7. 480

8. 22440

Step-by-step explanation:

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Help? wha does z equal?

Kisachek [45]

Mid segment= 1/2 length of the third side on a triangle
14/2
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3 years ago

Read 2 more answers

Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impu

Harman [31]

Answer:

a) 0.216

b) 0.1587

c) 0.369

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.2 grams

Standard Deviation, σ = 2.8 grams

We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(contains less than 10 grams of impurities)

P(x < 10)

$P( x < 10) = P( z < \displaystyle\frac{10 - 12.2}{2.8}) = P(z < -0.7857)$

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

$P(x < 10) =0.216= 21.6\%$

b) P(contains more than 15 grams of impurities)

P(x > 15)

$P( x > 15) = P( z > \displaystyle\frac{15 - 12.2}{2.8}) = P(z > 1)$

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

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

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

c) P(contains between 12 and 15 grams of impurities)

$P(12 \leq x \leq 15) = P(\displaystyle\frac{12 - 12.2}{2.8} \leq z \leq \displaystyle\frac{15-12.2}{2.8}) \\\\= P(-0.0714 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -0.0714)\\= 0.841 - 0.472 = 0.369 = 36.9\%$

$P(12 \leq x \leq 15) = 36.9%$

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).

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4 years ago

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

beks73 [17]

Answer:

b =± 5 sqrt(3)

Step-by-step explanation:

f(b) = b^2 – 75

To find the roots set the equation equal to zero

b^2 -75 =0

Add 75 to each side

b^2 – 75+75 = 0+57

b^2 = 75

Take the square root of each side

sqrt(b^2) = ±sqrt(75)

b = ±sqrt(3*25)

We know that sqrt(ac) = sqrt(a) sqrt(c)

b = ±sqrt(3)*sqrt(25)

b =± 5 sqrt(3)

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4 years ago

A rectangular prism has a height of 4 inches and a width of 12 inches. If the prism can hold 432 cubic inches of water, what is

chubhunter [2.5K]

Given,

Height of the rectangular prism (h) = 4 inches
Width of the rectangular prism (w) = 12 inches
Since the prism can hold 432 cubic inches of water,
Volume of the rectangular prism (V) = 432 inches³

Formula for Volume of a rectangular prism (V) is,

V = whl

I am assuming you are looking for the third side, the length (l) of the prism.

From the above formula for volume,

Length of the prism (l) = V ÷ wh = 432 ÷ (4x12) = 432 ÷ 48 = 9 inches

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3 years ago

Can you slove this please

Ket [755]

Answer:

y=85°

p=100°

Step-by-step explanation:

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

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3 years ago