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3 years ago

Solve the inequality −36 ≤3t

Mathematics

2 answers:

sammy [17]3 years ago

7 0

Answer:

{t | t≥−12}

Step-by-step explanation:

−36 ≤3t

=>-36/3 ≤ t [divided by 3 on both side]

=> -12 ≤ t

=>t ≥−12

TiliK225 [7]3 years ago

3 0

Answer: option b.

Step-by-step explanation:

Given the following inequality:

$-36\leq 3t$

You need to solve for "t".

Then, applying the Division property of inequality, we get:

$\frac{-36}{3}\leq \frac{3t}{3}\\\\-12\leq t\\\\t\geq -12$

Therefore, the solution of the inequality provided written in Set Notation is:

{ $t| t\geq -12$ }

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Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre. Suppose Jenna’s farm has p acres of pecan tree

lyudmila [28]

Answer:

Equation, 45 p + 25 q = 900

Explanation:

Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre.

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3 years ago

If f(x) = x/2 - 3 and g(x) = 3x^2 + x - 6, find (f+g)(x)

Misha Larkins [42]

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3 years ago

Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proporti

lesya [120]

Answer:

a) the sample size (n) = 156.25≅ 156

Step-by-step explanation:

<u>Step1 </u>:-

Given the two sample sizes are equal so $n_{1} =n_{2} = n$

Given the standard error (S.E) = 0.04

The standard error of the proportion of the given sample size

$S.E = \sqrt{\frac{pq}{n} }$

Step 2:-

here we assume that the proportion of boys and girls are equally likely

p= 1/2 and q= 1/2

$S.E = \sqrt{\frac{p(1-p)}{n} } \leq \frac{\frac{1}{2} }{\sqrt{n} }$

$\sqrt{n} = \frac{\frac{1}{2} }{S.E}$

squaring on both sides, we get

$n = \frac{1}{(2X0.04)^{2} }$

on simplification, we get

n= 156.25 ≅ 156

sample size (n) = 156

<u>verification</u>:-

$S.E = \sqrt{\frac{pq}{n} }= \sqrt{\frac{1}{4X156} } =\sqrt{0.0016}$

Standard error = 0.04

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3 years ago