3 years ago

What is 75 + 15x ≥ 140

Mathematics

1 answer:

melomori [17]3 years ago

8 0

75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~

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A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain

noname [10]

Answer:

$Z_{H0}$ = 1.56

Step-by-step explanation:

Hello!

You have two independent samples of fertilizers from distributor A and B, and need to test if the average content of nitrogen from fertilizer distributed by A is greater than the average content of nitrogen from fertilizer distributed by B.

Sample 1

X₁: Content of nitrogen of a fertilizer batch distributed by A

n₁= 4 batches

Sample mean X₁[bar]= 23pound/batch

σ₁= 4 poundes/batch

Sample 2

X₂: Content of nitrogen of a fertilizer batch distributed by B

n₂= 4 batches

Sample mean X₂[bar]= 18pound/batch

σ₂= 5 pounds/batch

Both variables have a normal distribution. Now since you have the information on the variables distribution and the values of the population standard deviations, you could use a pooled Z-test.

Your hypothesis are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

The statistic to use is:

Z= X₁[bar] - X₂[bar] - (μ₁ - μ₂) ~N(0;1)

√(δ²₁/n₁ + δ²₂/n₂)

$Z_{H0}$ = (23 - 18) - 0 = 1.56

√(16/4 + 25/4)

I hope this helps!

8 0

3 years ago

Find the surface area of the cylinder in terms of pi 14cm 18cm