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Scilla [17]
3 years ago
8

Solve for x. -1/2(x + 5) = -10 A) -25 B) -10 C) 0 D) 15

Mathematics
2 answers:
san4es73 [151]3 years ago
5 0

D 15

-1/2(x+5)=-10

-1(x+5)=-10×2

-x-5=-20

-x=-20+5

-x=-15

x=15

Komok [63]3 years ago
5 0

Answer:

x=15

Step-by-step explanation:

-1/2(x+5)=-10

x+5=20 multiply by -2

x=15 Minus 5 from each side

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Solve the equation 2(x-10)= 24 , what is the value of x
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Answer:

x=22

Step-by-step explanation:

2(x-10)=24

Distribute the parenthesis

2x-20=24

Add 20 to both sides

2x=44

Divide both sides by 2

\frac{2x}{2} =\frac{44}{2}

x=22

Hope this helps

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Which ordered pair is shown on the graph?
Oliga [24]

Answer:

(2,4)

Step-by-step explanation:

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6 0
3 years ago
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We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty
maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.

A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.

The probability mass function of a Binomial random variable <em>X</em> is:

P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...

(1)

Compute the expected value of <em>X</em> as follows:

E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of <em>X</em> ≥ 45 as follows:

P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

                =\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0
3 years ago
Simplify an expression for the perimeter of the rectangle. Please Helpp
lorasvet [3.4K]
Answer:
16x+16

Explanation:
The perimeter is all of the sides added up. On a rectangle, only 2 sides are needed to know the perimeter because measurements are equal on both sides.

1) Write equation
2*5 + 2(8x+3)
2) Distributive property and multiply
10 + 16x + 6
3) Combine like terms
16x+16
6 0
3 years ago
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