Expand 4(z+6) into the simplest form.

Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack

Irina18 [472]

1. $18-4,25=13,75 \\ 13,75-9,75=4 \\ 0,50x \leq 4$ <u />⇔ $x= \frac{4}{0,50}$ ⇔ $x= 8$
R: She can buy 8 crackers

2. Amy used 13%
Dan used 0,14*100 = 14%
Mike used 0,5*100 = 50%
R: Mike used the greatest amount of milk.

3 0

3 years ago

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of first time customers
p is the proportion of first time customers based on historical data

N is the sample size

For the sample proportion 0.35:

z(0.35)= $\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ -1.035

For the sample proportion 0.5:

z(0.5)= $\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

6 0

3 years ago

What is the solution to the compound inequality? –6 ≤ 2x + 6 ≤ 6

maw [93]

∈ ≤ ≥

-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)

2x + 6 ≥ - 6

2x + 6 ≤ 6 (solve the inequalities)

x ≥ -6

x ≤ 0 (find the intersection)

solution is : x ∈ { -6, 0 }

7 0

3 years ago

Can a trapezoid have four obtuse angles

Pavel [41]

The four angles inside EVERY four-sided figure add up to 360 degrees, no matter what the shape of the figure is.

"Four obtuse angles" means "four angles of more than 90 degrees each".

(four times more-than-90) = more than 360

so NO 4-sided figure can have four obtuse angles inside it.

4 0

3 years ago

Read 2 more answers

HELP PLZ ANYONE??? I AM VERY STUCK ASAP!!

Katena32 [7]

Answer:

The answer is A

Step-by-step explanation:

When you multiple the numerators across you get 39,283.2 not 39, 832. What this math problem is, is Dimensional Analysis. Its converting one unit of measurement to another

Another example:

Look at the attachment below.

3 0

3 years ago