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3 years ago

M<AOB = 4x - 1; m<BOC = 2x + 15; m<AOC = 8x + 8 Find the value of x.

Mathematics

1 answer:

dem82 [27]3 years ago

8 0

So based on the given figure above, this is how we are going to find for the value of x. Given the values above, we can see that m<AOC serves as the total value of the other angles. So,
m<AOC = M<AOB + m<BOC
Now plug in the given values.
8x + 8 = (4x - 1) + ( 2x + 15)
8x + 8 =6x + 14
8x-6x = 14-8
2x = 6 <<divide both sides by 2 and the result is
x = 3
Therefore, the value of x is 3. Hope this answer helps. Let me know if you need more help next time.

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Joe and his family are flying to Texas. Their plane flies 645 miles at 215 mph. How long does the trip take? Solve and explain

olya-2409 [2.1K]

You can use the distance equation.. d = rt
d = distance = 645
r = rate = 215 mph
t = time = ???? find the time
645 = 215t
645/215 = 215t / 215
3 = t
t = 3
It took 3 hours

7 0

3 years ago

Evaluate f(x) = x^2 + 1 for f(-1). 0

Len [333]

Domain x€R
range y€[1,+ the eight that goes side ways}
minimum (0,1)
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answer : y=x2+1

4 0

3 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

For each situation below, write the equation of the line and explain how you can tell.

sveticcg [70]

Answer:

see below

Step-by-step explanation:

a. Has a slope of 2 and passes through (10,17)

Using the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation

17 = 2(10)+b

17 = 20+b

Subtract 20 from each side

17-20 =b

-3 =b

y = 2x-3

b. passes through (1,-4) and (2,-5)

First find the slope

m= (y2-y1)/(x2-x1)

= (-5- -4)/(2-1)

= (-5+4)/(2-1)

= -1/1

= -1

Using the slope intercept form

y = -x+b

Substitute a point into the equation

-4 = -1(1) +b

-4 = -1+b

Add 1 to each side

-3 = b

y = -x+3

6 0

3 years ago

Which equations represent functions?

never [62]

Answer:

2x + 3y = 10, 3y = 18 (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x) Yes, this is a function.

4x = 16 → x = 4 NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 → 2x = 17 → x = 17/2 Not a function. See reason given above.

3y = 18 → y = 6 Function

2x = 14.6 → x = 7.3 Not a function. See reason given above

4 0

4 years ago