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2 years ago

Evaluate 8p + 3p - 18

Mathematics

1 answer:

lidiya [134]2 years ago

8 0

Answer:

Step-by-step explanation

8p + 3P = 10p

10p / -18

P = -1.8

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Will give brainliest to the first person who answers

alexandr402 [8]

Answer:

z =86

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angles

z + z-39 = z+47

2z-39 = z+47

Subtract z from each side

z-39 = 47

Add 39 from each side

z = 47+39

z =86

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3 years ago

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The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up

Vilka [71]

No that much 2 or 3 gallons

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3 years ago

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What is simplest form of sqrt 2 + sqrt 5 / sqrt 2 - sqrt -5? √2 + √5 / √2 - √-5

Leni [432]

Answer:

$\frac{-7-2\sqrt{10}}{3}$

Step-by-step explanation:

we have

$\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}$

Simplify

Multiply the expression by $\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}$

$(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}})(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}})$

Apply difference of squares in the denominator

$\frac{(\sqrt{2}+\sqrt{5})^2}{(\sqrt{2})^2-(\sqrt{5})^2}$

$\frac{2+2\sqrt{10}+5}{2-5}$

$\frac{7+2\sqrt{10}}{-3}$

$\frac{-7-2\sqrt{10}}{3}$

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3 years ago

What is the solution to the above system of equations?

kow [346]

(x , y) = (7, - 1)

2x + 3y = 11 → (1)

3x + 3y = 18 → (2)

subtracting (1) from (2) term by term eliminates the y- term

(3x - 2x) + (3y - 3y) = (18 - 11)

x + 0 = 7 ⇒ x = 7

substitute x = 7 into either of the 2 equations and solve for y

(1) → (2 × 7) + 3y = 11

14 + 3y = 11

subtract 14 from both sides

3y = 11 - 14 = - 3

divide both sides by 3

$\frac{- 3}{3}$ = - 1

solution is (7 , -1)

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3 years ago

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An article presents measures of penetration resistance for a certain fine-grained soil. Fifteen measurements, expressed as a mul

balu736 [363]

Answer:

$2.64-2.14\frac{1.32}{\sqrt{15}}=1.911$

$2.64+2.14\frac{1.32}{\sqrt{15}}=3.369$

So on this case the 95% confidence interval would be given by (1.911;3.37)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=2.64$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=1.32 represent the sample standard deviation

n=15 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that $t_{\alpha/2}=2.14$

Now we have everything in order to replace into formula (1):

$2.64-2.14\frac{1.32}{\sqrt{15}}=1.911$

$2.64+2.14\frac{1.32}{\sqrt{15}}=3.369$

So on this case the 95% confidence interval would be given by (1.911;3.37)

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3 years ago