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3 years ago

What is the greatest common factor in the distributive property to find each sum of 30+66

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

6 is the greatest common factor of 30 and 66, because 6(5+11)

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Circles and i neeeeed help

VladimirAG [237]

Answer:

60 degrees

Step-by-step explanation:

Using the 172 degrees and calculating it's distance from the angle, i conclude that it's 60

5 0

2 years ago

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A quality control technician works in a factory that produces computer monitors. Each day, she randomly selects monitors and tes

jeka94

Answer:

There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 300

p = 5% = 0.05

Alpha, α = 0.05

Number of dead pixels , x = 24

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.05\\H_A: p > 0.05$

This is a one-tailed(right) test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{24}{300} = 0.08$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.08-0.05}{\sqrt{\frac{0.05(1-0.05)}{300}}} = 2.384$

Now, we calculate the p-value from excel.

P-value = 0.00856

Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.

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2 years ago

What are the possible rational zeros of f(x) = x^4 + 6x^3 − 3x^2 + 17x − 15?

loris [4]

Hmm, I got these for roots:
0.7937053103356799
0.026855090968934903 +i* 1.6611004538114105
0.026855090968934903 -i* 1.6611004538114105
-6.84741549227355

8 0

2 years ago

Make a down payment of $1500 and finance the rest of $20000 at 1.9% interest rate, making equal monthly payments for 5 years.

REY [17]

We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months.

1 year = 12 months

12 * 5 = 60 months

Therefore, in 5 years there are 60 months.

Now lets solve this problem step by step.

Subtract the down payment from $20,000

</span>$20000-$1500=$18500

Multiply the remaining number by the interest rate.

$18500 *1.9 = $35150

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585

<span>Therefore, you have to pay $585 per month. </span>

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3 years ago

4. Express each percent as a decimal number and

il63 [147K]

A) 0.955 and 199/200
B) 1.40 or 1.4 and 1 2/5
C) 0.90 or 0.9 and 9/10

5 0

1 year ago

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