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2 years ago

In the multiplication sentence below, which numbers are the factors? Check

Mathematics

1 answer:

IRISSAK [1]2 years ago

3 0

Answer:

The factors are 7 and 3

Step-by-step explanation:

The factors of a multiplication sentence are the numbers that are being multiplied for the product (or answer).

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The service department of a luxury car dealership conducted research on the amount of time its service technicians spend on each

mart [117]

Answer:

Probability that the mean service time is between 1 and 2 hours is 0.96764.

Step-by-step explanation:

We are given that a systematic random sample of 100 service appointments has been collected.

The 100 appointments showed an average preparation time of 90 minutes with a standard deviation of 140 minutes.

Let $\bar X$ = sample mean service time

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = average preparation time = 90 minutes

$\sigma$ = standard deviation = 140 minutes

n = sample of appointments = 100

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, probability that the mean service time is between 60 and 120 minutes is given by = P(60 minutes < $\bar X$ < 120 minutes)

P(60 minutes < $\bar X$ < 120 minutes) = P( $\bar X$ < 120 min) - P( $\bar X$ $\leq$ 60 min)

P( $\bar X$ < 120 min) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{120-90}{\frac{140}{\sqrt{100} } }$ ) = P(Z < 2.14) = 0.98382

P( $\bar X$ $\leq$ 60 min) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{60-90}{\frac{140}{\sqrt{100} } }$ ) = P(Z $\leq$ -2.14) = 1 - P(Z < 2.14)

= 1 - 0.98382 = 0.01618

The above probability is calculated by looking at the value of x = 2.14 in the z table which has an area of 0.98382.

Therefore, P(60 min < $\bar X$ < 120 min) = 0.98382 - 0.01618 = 0.96764

7 0

2 years ago

Sharif likes exersicing.He goes hill-climbing every 12 days anf goes swimming every 8 days.If je goes hill-climbing and swimming

topjm [15]

This is a lowest common multiple question.
to find the lowest common multiple, you need to find the prime factors of the two numbers:
$8 = 2 , 2 , 2$
$12 = 2 , 2 , 3$
Take out duplicates:
$2,2,2,3$
and multiply them together:
$2*2*2*3 = 24$
and that is your answer.
Easy peasy.

5 0

3 years ago

Read 2 more answers

?????????? Help me ???

kupik [55]

$(4x - 6y^3)^2 = (4x - 6y^3)(4x - 6y^3) = 16x^2 - 24xy^3 - 24xy^3 + 36y^6$
= $16x^2 - 48xy^3 + 36y^6$

7 0

2 years ago

An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)

vovikov84 [41]

Answer:

$20,232.75

Step-by-step explanation:

I hope it helped

7 0

2 years ago

What is 5/24 divided by 3/16

ra1l [238]

Dividing fractions is the same as multiplying by their reciprocal.

5/24 ÷ 3/16

is the same as

5/24 * 16/3

$\frac{5}{24} * \frac{16}{3}= \frac{80}{72}$

80/72
simplify
10/9 or 1 1/9

3 0

2 years ago

Read 2 more answers