Find the measure of 43.
43
77
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Enter

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Step-by-step explanation:

To solve this question, we should understand the exponential distribution and conditional probability.

Exponential distribution:

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

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

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

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The average waiting time for this distribution is 38 minutes.

This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]

Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?

Event A: Taking more than 37 minutes.

Event B: More than 37 + 41 = 78 minutes.

Probability of taking more than 37 minutes:

[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]

More than 37 minutes and more than 78 minutes:

The intersection is more than 78 minutes, so:

[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]

The probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

Answer:

5(3x+5)

Step-by-step explanation:

Answer:

5(3x + 5)

Step-by-step explanation:

Factor out 5 of 15x + 25 then you'll get your answer.

Hope this helps:)

Answer:

There is a error that is

Not : 4 × 6

Correct: 4 × 4

Step-by-step explanation:

Given ,

Base of the parallelogram = 4 in.

Height of the parallelogram = 4 in.

Therefore,

Area of the parallelogram = base × height

= 4 in. × 4 in.

[tex] = 16 {in.}^{2} (ans)[/tex]

Answer:

$30

Step-by-step explanation:

5+16=21+9=30

Answer:

less than half

Step-by-step explanation:

13/12 - 7/10 = 23/60

Answer:

-5x + 20 = -30

-5x = 10

x = -2

njjjwer:

jajajajaj

Step-by-step explanation:

The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.

Given that, (x+2y)(x²-xy+3y).

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

The product of two given polynomials is as follows

(x+2y)(x²-xy+3y)

= x(x²-xy+3y)+2y(x²-xy+3y)

= x³-x²y+3xy+2x²y-2xy²+6y²

= x³+x²y-2xy²+6y²+3xy

Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.

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Answer:

= 22:4 :: x : 16

22*16 = 4x

352 = 4x

x = 352/4

x = 88

Hope this helps you. Do mark me as brainliest.

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - [tex]\frac{60}{2}[/tex]x) + y + 250 = 0

⇒ 2 ( x² - [tex]\frac{2^{2} *3*5}{2}[/tex]x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

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The x - intercept of the line is at Point X(9, 0).

We have the following equation of a straight line -

y = 4x - 36

We have to find the x - intercept of the of this line.

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question, we have -

y = 4x - 36

Now, comparing this line with the general equation of line -  y = mx + c, we get -

m = 4

c = - 36

for the x - intercept of the line, substitute y = 0. We get -

0 = 4x -36

4x = 36

x = 9

Hence, the x - intercept of the line is at Point X(9, 0).

Refer to the graph attached for more clarity.

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Answer: this equation is in slope intercept form following the template of y=mx+b because m is your slope, looking at the corresponding parts tells you 4/5 is the slope.

Answer:

105

Step-by-step explanation:

17.5÷2.5=7

7x15=105

Answer:

May I please have the question or the table?

Step-by-step explanation:

Answer:here’s the table I don’t have the answer tho.

Step-by-step explanation:

Answer:67.5

Step-by-step explanation:The question asked the HEIGHT. So multiply the scale factor (2.5) and the inches tall (27).

Answer:

5

Step-by-step explanation:

Answer:

D) 500 square feet

Step-by-step explanation:

20x40=800

30x10=300

800-300=500

Answer:

500 square feet

Step-by-step explanation:

Walk way A=bh

A=40 times 20

A=800

garden

A=30 times 10

A=300

Now subtract walkway from the garden. 800 - 300= 500

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24

Answer:

40%

Step-by-step explanation:

it ads up to 90, so 50+x=90   x=40

Answer:

40° as it is a right angle

then 90 - 50= 40

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4/5 your dividing 4 by 5, so answer is B :)

The way in which the original comic would be similar to the enlargement is that they have the same proportion.

Based on the fact that when a comic is enlarged, the original and enlargement would remain the same and the only difference would be a larger size.

Hence, we can see that because they have the same proportion, each individual pixel in the original is more visible and the enlargement displays the image in a small number of large pixels.

The use of a grid would likely reduce the effect of pixelation and if there is a reduction in the size of the comic, there would be the same effect, only that it would be smaller, but have the same proportion.

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Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

Answer:

f

(

x

)

=

2

, means, whatever be the value of

x

, f(x)=2#.

∴

f

(

−

4

)

=

2

.