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pshichka [43]
3 years ago
10

Simplify to find the answer

Mathematics
1 answer:
atroni [7]3 years ago
5 0

\frac{-8(7-\sqrt{2)} }{47}

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The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.2 grams with a standard deviat
Sophie [7]

Answer:

12.1%

Step-by-step explanation:

Given that:

Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means  that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}

a) For x < 19.99 g:

z=\frac{x-\mu}{\sigma}\\\\z=\frac{19.99-20.2}{0.18} \\\\z=-1.17

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%

The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%

6 0
3 years ago
If f(x)=3^x+10x and g(x)=2x-4 find (f-g) (x) (urgent)
notka56 [123]

Answer:

(f - g)(x) = 3^{x} + 8x + 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3^{x} + 10x - (2x - 4) ← distribute parenthesis by - 1

= 3^{x} + 10x - 2x + 4 ← collect like terms

= 3^{x} + 8x + 4

5 0
2 years ago
The total area of two square windows is 1,025 in.^2. each side of the larger window is 5 in. longer than the sides of the smalle
vampirchik [111]
The area of a square is expressed as:

Area = s^2

We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.

Total area = Area larger + area smaller
1025 = s^2 + a^2

Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:

<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2

simplifying we obtain,

a = 20 inches
8 0
3 years ago
Read 2 more answers
What is 3% equal to?
Vsevolod [243]

Answer:

0.03 or 3/100

6 0
3 years ago
What is (16^-1/2 x^3/4)^2 simplified?
Hunter-Best [27]

Answer:x^6-16^2/ -64

Step-by-step explanation:


4 0
3 years ago
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