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3 years ago

If the temperature outside is 30°C, what's the temperature in °F? The formula

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

Answer:

Step-by-step explanation:

C = (5/9)(F-32)

(9/5)C = F-32

(9/5)C +32 = F

(9/5)30 + 32 = 54 + 32 = 86°F

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The contents of seven similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8, 10.0, 10.2, and 9.6 liters. find a 95% confi

Kamila [148]

The confidence interval is from 9.81 to 10.19.

We first find the mean of the data:

(9.8+10.2+10.4+9.8+10.0+10.2+9.6)/7 = 10

Next we find the standard deviation:
σ=√([(9.8-10)^2+(10.2-10)^2+(10.4-10)^2+(9.8-10)^2+(10-10)^2+(10.2-10)^2+(9.6-10)^2]/7) = 0.262

The z-score for 95% confidence is found by
1-0.95 = 0.05; 0.05/2 = 0.025; from the z-table, it is 1.96.

The confidence interval is calculated using
 $x\pm z\times (\frac{s}{\sqrt{n}})
\\
\\10 \pm 1.96(\frac{0.262}{\sqrt{7}})=10\pm 0.1941$

7 0

3 years ago

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth.

Tcecarenko [31]

Use the distance formula: $d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=12%20%5Cfrac%7B1%7D%7B3%7D%20%5Cdiv%202" id="TexFormula1" title="12 \frac{1}{3} \div 2" alt="1

aev [14]

Answer:

37/6

Step-by-step explanation:

Simplify the following:

(12 + 1/3)/2

Put 12 + 1/3 over the common denominator 3. 12 + 1/3 = (3×12)/3 + 1/3:

((3×12)/3 + 1/3)/2

3×12 = 36:

(36/3 + 1/3)/2

36/3 + 1/3 = (36 + 1)/3:

((36 + 1)/3)/2

36 + 1 = 37:

(37/3)/2

37/3×1/2 = 37/(3×2):

37/(3×2)

3×2 = 6:

Answer: 37/6

3 0

3 years ago

Question 1 3x-5 9-2x Solve 3 2

Nitella [24]

Answer:

X = 0.8

Step-by-step explanation:

reorder the terms by moving all terms that contain X to the left, and all the others to the right.

add 2X to both sides

Combine like terms

add (-5) to both sides

combine like terms

divide both sides by 5

3 0

3 years ago

What is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4

givi [52]

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

$f(x)=x^4-2x^3-27x^2-9x+18$

And we want to find the remainder after it is divided by the binomial:

$x+4$

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).

Therefore, a = -4.

Then according to the PRT, the remainder will be:

$f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6$

The remainder will be 6.

4 0

3 years ago