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2 years ago

What is the value of the expression 2 + 32 ⋅ (5 − 1)? 31 32 37 38

Mathematics

1 answer:

zvonat [6]2 years ago

5 0

Answer:

Step-by-step explanation:

Pemdas

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

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Which expression is equivalent to 4 square root x10

Likurg_2 [28]

The answer is 40 you do 10 times 4 I hope it helped you you only need to multiply

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2 years ago

The length of a rectangle is 4 units less than the width. The area of the rectangle is 21 units. What is the length, in units, o

bazaltina [42]

The formula of an area of a rectangle:

A = wl

We have l = w - 4 and A = 21.

Substitute:

w(w - 4) = 21 <em>use distributive property</em>

(w)(w) + (w)(-4) = 21

w² - 4w = 21 <em>subtract 21 from both sides</em>

w² - 4w - 21 = 0

w² - 7w + 3w - 21 = 0

w(w - 7) + 3(w - 7) = 0

(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0

w = 7 ∨ w = -3 < 0

l = w - 4 → l = 7 - 4 = 3

<h3>Answer: the length = 3 u.</h3>

4 0

2 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Gemiola [76]

Answer: (D) <em>bottom right graph</em>

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where

(h, k) is the vertex
|a| is the vertical stretch
sign of "a" determines the direction of the parabola

Given g(x) = (x - 3)² - 5

vertex (h, k) = (3, -5)
vertical stretch |a| = 1
sign of "a" is positive so parabola points up

The only graph that satisfies all of these conditions is the bottom right.

7 0

2 years ago

A polynomial has a leading coefficient of 1 and the

avanturin [10]

Answer: it’s C and the second part is C as well

Step-by-step explanation: Just did it on edg! :))

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2 years ago