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dusya [7]
3 years ago
14

The slope of a line is 7/10 . One point on the line has coordinates (1, 2). Which ordered pair represents another point on the l

ine?
Mathematics
1 answer:
mash [69]3 years ago
7 0
(x,y)

y=mx+b
m=slope
b=yintercept
slope=7/10
one point is (1,2) or x=1, then y=2
find b
y=7/10x+b
2=7/10(1)+b
2=7/10+b
minus 7/10 both sides
1 and 3/10=b
13/10=b
y=7/10x+13/10
input values for x and get values for y
one point is (0,13/10)
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Step-by-step explanation:


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Which of the following is not a perfect square a:50 b:49 c:121 d:1
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50 is not a perfect square because it does not have a perfect square root where as 49 is 7, 121 is 11, and 1 is 1
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A certain change in a process for manufacture of component parts is being considered. Samples are taken using both the existing
Katyanochek1 [597]

Answer:

a) The confidence interval is 0.00\leq\pi_1-\pi_2\leq0.02.

Step-by-step explanation:

We have to calculate a confidence interval (CI) of a difference of proportions.

For the existing procedure, the proportion is:

p_1=75/1500=0.05

For the new procedure, the proportion is:

p_2=80/2000=0.04

To calculate the CI, we need to estimate the standard deviation

s=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }\\\\s=\sqrt{\frac{0.05(1-0.05)}{1500} +\frac{0.04(1-0.04)}{2000} }=\sqrt{ 0.000032 + 0.000019 }=\sqrt{  0.000051 }\\\\s=0.007

For a 90% CI, the z-value is 1.64.

Then, the CI is:

(p_1-p_2)-z*\sigma \leq\pi_1-\pi_2\leq(p_1-p_2)+z*\sigma \\\\(0.05-0.04)-1.64*0.007\leq\pi_1-\pi_2\leq(0.05-0.04)+1.64*0.007\\\\0.01-0.01\leq\pi_1-\pi_2\leq0.01+0.01\\\\0.00\leq\pi_1-\pi_2\leq0.02

6 0
3 years ago
Please help me asap i will give brainiest and all my points
Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

16^{5}+215 by 33

1,048,576 + 215

1,048,791

We now then divide the total amount with 33.

\dfrac{1,048,576}{33}

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

51^{7}-51^{6} by 25

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879,814,390,050

We now then divide the total amount with 25.

\dfrac{879,814,390,050}{25}

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The total value did NOT return a decimal point, therefore making the equation true. 51^{7}-51^{6} IS divisible by 25.

Next on we have:

5^{5}-5^{4} +5^{3} by 7

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As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

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We now then divide the total amount with 7.

\dfrac{2,625}{7}

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The total value did NOT return a decimal point, therefore making the equation true. 5^{5}-5^{4} +5^{3} IS divisible by 7.

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We now then divide the total amount with 11.

\dfrac{132,055}{11}

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The total value did NOT return a decimal point, therefore making the equation true. 7^6+7^5-7^4 IS divisible by 11.

Last but not the least:

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We now then divide the total amount with 24.

\dfrac{11,444,091,796,875,000}{24}

= 476,837,158,203,125

The total value did NOT return a decimal point, therefore making the equation true. 5^{23}-5^{21} IS divisible by 24.

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