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2 years ago

Determine the value of x. : A) B) 4 C) 4 D) 8

Mathematics

1 answer:

likoan [24]2 years ago

3 0

The hypotenuse is always the longest side of a triangle and seeing that it is 8, X has to be something smaller so X is likely 4.

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Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to

Salsk061 [2.6K]

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

3 0

3 years ago

Read 2 more answers

Sam is hired for a 20-day period. On days that he works, he earns $60. For each day that he does not work, $30 is subtracted fro

Alenkinab [10]

Answer:

He did not work for 6 days

Step-by-step explanation:

Sam is hired for a 20-day period.

Let x be the no. of days he did not work

So, No. of days he worked = 20-x

he earns per working day = $60

So, he earns for (20-x) days = 60(20-x)

For each day that he does not work, $30 is subtracted from his earnings.

So, Amount deducted for x days = 30x

So, His earning for 20 days = $60(20-x)-30x$

We are given that At the end of the 20-day period, he received $660

So, $60(20-x)-30x=660$

$1200-60x-30x=660$

$1200-90x=660$

$1200-660=90x$

$540=90x$

$\frac{540}{90}=x$

$6=x$

So, he did not work for 6 days

So, Option C is true

5 0

4 years ago

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

Nikolay [14]

Answer:

0.0359

Step-by-step explanation:

Data provided:

mean values of three independent times are 15, 30, and 20 minutes

the standard deviations are 2, 1, and 1.6 minutes

Now,

New Mean = 15 + 30 + 25 = 65

Variance = ( standard deviation )²

Variance = 2² + 1² + 1.6² = 7.56

therefore,

Standard deviation = √variance

Standard deviation = 2.75

Thus,

Z-value = $\frac{\textup{60 - 65}}{\textup{2.75}}$

Z-value = - 1.81

from the Z-table

the Probability of Z ≤ -1.81 = 0.0359

6 0

3 years ago

If a2= 18 and a4= 8, find two possible common ratios. Then, write two sequences lhaving five terms each.

Marizza181 [45]

common ratio = a4/a3 = a3/a2

8/a3 = a3/18

(a3)^2 = 8 * 18

(a3)^2 = 144

a3 = 12 or a3 = -12

common ratio = 8/12 or common ratio = 8/(-12)

common ratio = 2/3 or common ratio = -2/3

Answer: 12 or -12

3 0

4 years ago

61 random samples of city rent prices are selected from a normally distributed population the samples have a mean of $738 and a

Alenkinab [10]

Answer:

(728, 748)

Step-by-step explanation:

You need the Z value which for 95% confidence interval is 1.96. The mean is $738 and the standard deviation of $41.

$X-Zs/\sqrt{n} \\ X+Zs/\sqrt{n}$

Therefore we can calculated the confidence interval

$738-1.96\cdot{41}/\sqrt{61} =738-10.3$

$738±10.3$

The interval is (728,748)

3 0

3 years ago