Find the exact length of the third side. 40 9

How do I mutiply 14(a+5+6b)

padilas [110]

Multiply 14 to each term: 14a+70+84b

4 0

3 years ago

Read 2 more answers

There are three numbers a, b, c, where a > b and b >c. Describe the positions of the numbers on a number line.

AfilCa [17]

In maths, the “>” sign means “greater than”, or “bigger than.” If we say A > B, that means (in English) “A is bigger than B.”
So, if A > B and B > C:
A is bigger than B, and B is bigger than C.

So the smallest would be C, since both A and B are bigger. Next is B, and biggest is A.

That is the order they would be in a number line: C - B - A

6 0

3 years ago

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

3 years ago

Whats the equation 128 = p + 89 if p= 39

sergiy2304 [10]

128 = 128 cause u add them

8 0

2 years ago

One side is 8 cm

musickatia [10]

Answer:

The mass of the cubic granite block is 1408 g .

Step-by-step explanation:

Formula

Volume of a cube = a³

Where a is the side of the cube .

$Density = \frac{Mass}{Volume}$

As given

one side of the cube is 8 cm .

(The figure is shown below.)

Thus

Put in the formula

Volume of a cubic granite block = 8 × 8 × 8

= 512 cm³

As given

The density of cube is 2.75 g/cm³.

Put in the formula

$2.75 = \frac{Mass}{512}$

Mass = 2.75 × 512

Mass = 1408 g

Therefore the mass of the cubic granite block is 1408 g .

8 0

3 years ago