All categories

3 years ago

How to factorise 4b squared + 19b

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

I hope this helps you

b (4b+19)

You might be interested in

A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0

2 years ago

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

vredina [299]

$-1\le\sin\theta\le1\implies(\csc\theta\le-1)\cup(\csc\theta\ge1)$

which means $\csc\theta=0$ has no solution, and we can omit that factor.

This leaves us with

$2\cos\theta-1=0\implies\cos\theta=\dfrac12$

which occurs for $\theta=\pm\dfrac\pi3+2n\pi$ .

3 0

4 years ago

What is the nth term of 0 3 8 15 24 35 48

Natasha2012 [34]

So 3+5=8
8+7=15
15+9=24
24+11=35
35+13=48
therefore
0+3=3
so therefore the answer this is a difficult question but the answer is kind of like whatever you added to n in the last term add two to that and add to your number to get that

sorry

4 0

3 years ago

Twice a number is less than or equal to the sum of a number and 15

Hoochie [10]

Answer:itequalsjeh

Step-by-step explanation:

Ehhs

3 0

3 years ago

Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and pro

viva [34]

Answer:

9600 m2

Step-by-step explanation:

6 0

3 years ago