What is equivalent to 6(a − 2) + 8a ⋅2+3(a + 1)

Vladimir [108]

Answer: 5/10

Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.

7 0

2 years ago

An automated assembly line produces 840 units per hour. At the same production rate, how many units could be produced in 45

WARRIOR [948]

Answer:

The 630

Step-by-step explanation:

i took the test on usa test prep

6 0

3 years ago

Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a

olchik [2.2K]

Answer:

option (b) 0.0228

Step-by-step explanation:

Data provided in the question:

Sample size, n = 100

Sample mean, μ = $20

Standard deviation, s = $5

Confidence interval = between $19 and $21

Now,

Confidence interval = μ ± $z\frac{s}{\sqrt n}$

thus,

Upper limit of the Confidence interval = μ + $z\frac{s}{\sqrt n}$

or

$21 = $20 + $z\frac{5}{\sqrt{100}}$

or

z = 2

Now,

P(z = 2) = 0.02275 [From standard z vs p value table]

or

P(z = 2) ≈ 0.0228

Hence,

the correct answer is option (b) 0.0228

3 0

3 years ago

Need help on math You have a meal at a restaurant. The sale tax is 8% . You leave a tip for the waitress that is 20% of the pret

DerKrebs [107]

Answer: $18

Step-by-step explanation:

Let x= Pretax price of the meal.

Given: Sales tax = 8%

Tip percent = 20%

As per given ,

Amount spent = ( Pretax price) + (Sales tax ) of (Pretax price) + (Tip percent)of (Pretax price)

= x+ 8% of x + 20% of x

= x +0.08+0.20x

= 1.28x

∵ Amount spent = $23.04

So,

$1.28x=23.04\\\\\Rightarrow\ x=\dfrac{23.04}{1.28}\\\\\Rightarrow\ x=18$

Hence, the pretax price of the meal= $18.

4 0

3 years ago

Suppose that the probabilities that an answer can be found on Google is .95, on Answers is .92, and on both Web sites is .874. A

Assoli18 [71]

Answer:

The correct option is

a) Yes, because (0.95)(0.92) = 0.874

Step-by-step explanation:

An event is independent if the following condition is satisfied

$P(A\bigcap B)= P(A)P(B)$

Therefore, since the the probability that the answer can be found in Google = 0.95 and the probability that the answer can be found in Answers = 0.92

The probability that the answer can be found on both websites,

$P(A\bigcap B)$ = 0.874

We check, P(A) × P(B) = 0.95×0.92 = 0.874 = $P(A\bigcap B)$ = 0.874

Therefore, the possibilities of finding the event on the two websites is independent.

5 0

3 years ago