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2 years ago

What is the value of x?

Mathematics

1 answer:

inn [45]2 years ago

4 0

MN = MA + AN =67.2m

MA + 3.2m = 67.2m

MA = 64m

Similary,

MP = 81.9

As
AB || NP

Then by Thale's theorem,

$\frac{MA}{MN} = \frac{ MB}{MP } \\ \\ \frac{64}{67.2} = \frac{x}{81.9} \\ \\ x = \frac{64}{62.7} \times 81.9 = 83.59$

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Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 3x + 12 g(x) = -9.5x - 13

Anit [1.1K]

Answer:

x=2

Step by step:
f(x)=g(x)

3x+12= -9.5x-13 simplifies to the equation below

3x+9.5x= -13-12

12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.

12.5x/12 = -25/12

x=-2

to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅

7 0

2 years ago

Read 2 more answers

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

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3 years ago

This dot plot is not symmetric, and the data set has two extreme values.What is the best measure of center for this dot plot? Th

irga5000 [103]

Answer:

I don't know sorry....

Step-by-step explanation:

I don't know sorry....

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3 years ago

Which number belongs to the solution set of the equation below? 8x=120

vlabodo [156]

8x = 120
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3 years ago

jose bought 4 comic books and 2 nonfiction books. the 4 comic books cost him 8y dollars.if the cost of one nonfiction book is (3

professor190 [17]

write out the equation:

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8=3+7
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3 years ago