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2 years ago

Which expression is equivalent to (2x + 3)2 – 5?

Mathematics

1 answer:

ddd [48]2 years ago

5 0

4x+6-5
turns into 4x+1

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Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wa

bezimeni [28]

For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
$x + y \leq 25

y \geq (x - 3) ^ 2
$
The solution to the system of inequations is given by the shaded region.
Note: see attached image.

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3 years ago

use the protractor to determine which of the following rotations of line segment AB about point A will map the figure onto itsel

saveliy_v [14]

Answer:

The answer is 90 degrees clockwise about point A

Step-by-step explanation:

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2 years ago

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Sparky weighs 3/4 of her weight plus 3/4 of a pound. How much does she weigh

anyanavicka [17]

Maybe he weighs 6/8 hjjjhhhhjjjjj

4 0

3 years ago

PEOPLE! THIS IS URGENT! PLEASE HELP ME!!!! If the product 3/2 · 4/3 · 5/4 · 6/5 ·…· a/b =9, what is the sum of a and b?

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3/2 · 4/3 · 5/4 · 6/5 ·…· a/b =9

a+b=?

------

all numbers get cancelled apart from the first denominator and the last numerator:

1/2*a= 9

a= 18

then

b= a-1= 18-1= 17

a+b= 18+17= 35

6 0

3 years ago

A simple random sample of 150 people who completed the ESPN 2019 Tournament Bracket was selected, and 81 out of the 150 people w

Otrada [13]

Answer:

The answer is "0.54 and (0.4733, 0.6067)".

Step-by-step explanation:

Please find the complete question in the attachment file.

In question 1:

$\to x=81\\\\ \to n=150\\\\ \to \hat{p}=\frac{x}{n}=\frac{81}{150}=0.54\\\\$

Hence the choice A is correct.

In point b:

Calculating Critical Value:

$\to (Z_{\alpha/2})=1.64 \ \ \ \ \ \ \ \ \ \ (use \ \ z\ \ table)\\\\$

Calculating the Confidence intervals:

$=\hat{p} \pm Z_{\alpha/2}\times \sqrt{\frac{\hat{p} \times (1-\hat{p}))}{n}}\\\\ =0.54 \pm 1.64\times \sqrt{\frac{0.0.54 \times (1-0.54)}{150}}\\\\ =0.54 \pm 0.0667\\\\ =(0.4733, 0.6067)\\\\$

Hence the choice a is correct.

3 0

2 years ago