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3 years ago

0.38x < 25 -10.81 - 10

Mathematics

2 answers:

marusya05 [52]3 years ago

4 0

Answer:

Inequality Form :

x < 11.02631578

Interval Notation :

( − ∞, 11.02631578)

Studentka2010 [4]3 years ago

4 0

Answer:

x=<15.28947

Step-by-step explanation:

0.38x<25-20.81

0.38x <5.81

0.38x÷0.38 < 5.81÷0.38

x <15.28947

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Juliette made the jewelry box shown below.The jewelry bow was shaped like a right rectangular prism

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Which expression can be used to determine 50% of 42? 42 minus 2 42 divided by 2 42 divided by 10 42 minus 10

Mrrafil [7]

Answer:

We know that 50% of 42 will be = 21

i.e. 50% of 42 = 50/100 = 21

The correct answer should be: 42 divided by 2

Step-by-step explanation:

We know that 50% of 42 will be = 21

i.e. 50% of 42 = 50/100 = 21

Also, when we divide 42 by 2, we get the answer 21.

i.e. 42/2 = 21

Therefore, the correct answer should be: 42 divided by 2

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3 years ago

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Consider the graph of the quadratic function. Which interval

Zolol [24]

Answer:

Option D. 1 to 2.5

Step-by-step explanation:

The complete question is

Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?

Options:

A. –2 to –1

B. –1.5 to 0

C. 0 to 1

D. 1 to 2.5

see the attached figure to better understand the problem

we know that

The quadratic function in the graph represent a parabola open downward

The vertex represent a maximum

The x-coordinate of the vertex is approximately 0.5

The axis of symmetry is x=0.5

The function is increasing for x < 0.5 interval (-∞,0.5)

The function is decreasing for x > 0.5 interval (0.5,∞)

Remember that

If the function is decreasing, the rate of change is negative

If the function is increasing, the rate of change is positive

The rate of change is negative in the interval (0.5,∞)

therefore

Option A. –2 to –1 ----> rate of change is positive

Option B. –1.5 to 0 ----> rate of change is positive

Option C. 0 to 1 ---> (0,0.5) the rate of change is positive and (0.5,1) the rate of change is negative

Option D. 1 to 2.5 ---> the rate of change is negative

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3 years ago

Explain how you can solve 40 × 16 by breaking apart the numbers.

Aleksandr-060686 [28]

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4 years ago

Two people are selected at random from a group of 6 pilots and 4 engineers. What is the probability that both of them are engine

d1i1m1o1n [39]

Probability is the ratio of: the number of observations of an event n(A) compared to the total number of observation n(S). Generally it could be written as
P(A) = $\dfrac{n(A)}{n(S)}$

Use combination to solve this problem
The event being observed n(A) in this problem is 2 engineers being selected from 4 engineers. The observation n(S) is about 2 people being selected from 10 people (engineers + pilots).

n(A) could be determined using combination of 2 engineers from 4 engineers
n(A) = $C^4_2$
n(A) = $\dfrac{4!}{2!(4-2)!}$
n(A) = $\dfrac{4!}{2!2!}$
n(A) = $\dfrac{4 \times 3 \times 2 \times 1}{2 \times 1 \times 2 \times 1}$
n(A) = $\dfrac{24}{4}$
n(A) = 6

n(S) could be determined using combination of 2 people from 10 people
n(S) = $C^10_2$
n(S) = $\dfrac{10!}{2!(10-2)!}$
n(S) = $\dfrac{10!}{2!8!}$
n(S) = $\dfrac{10 \times 9 \times 8!}{2 \times 1 \times 8!}$
n(S) = $\dfrac{10 \times 9}{2}$
n(S) = $\dfrac{90}{2}$
n(S) = 45

The probability
P(A) = $\dfrac{n(A)}{n(S)}$
P(A) = $\dfrac{6}{45}$
P(A) = $\dfrac{2}{15}$

The probability is 2/15

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