10
Find the measure of b.
90°
b
A 30°
B 90°
120°
D 60°

Answer:

14.62=d divided by 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Part (a)

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Work Shown:

v = u + a*t

v = 7 + 10*8 ... plug in the given values

v = 7 + 80

v = 87

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Part (b)

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Work Shown:

v = u + a*t

80 = 20 + 6*t .... plug in the given values

80-20 = 6t .... subtracting 20 from both sides

60 = 6t

6t = 60

t = 60/6 .... divide both sides by 6

t = 10

Answer:

first person is write

Step-by-step explanation:

Answer:

Length = 4 feet

Step-by-step explanation:

Let the length of a rectangle be x.

Width is 1 feet shorter than the length, b = x-1

The area of the rectangle is 12 sq feet.

The area of a rectangle is given by :

A = length × width

So,

[tex]x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4[/tex]

Neglecting the negative side, the length of the rectangle is equal to 4 feet.

Answer:

a

Step-by-step explanation:

Answer:

5x(3-2y)

Step-by-step explanation:

5.5% in decimal form is .055

From this, we can multiply $57,000 by .055, getting $3,135. And since the car dealer gets an extra $100 this week, he gets a total of $3,235.

Answer:

3235

Step-by-step explanation:

100$ a week plus 3135 which is 5.5% if 57,000

Answer:

(5,-3)

Step-by-step explanation:

On the x-axis, go 5 points to the right and on the y-axis go 3 points down the the negative 3 and the point N crosses at (5,-3)

Answer:

vxdfvdvdxv

Step-by-step explanation:

svvddddddddddddddddddd

Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Step-by-step explanation:

Given: Number of visits in 1998 = 1.3 billion

Number of visits in 2002 = 1.5 billion

The average rate of change in the number of public library visits from 1998 to 2002 = [tex]\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}[/tex]

[tex]=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}[/tex]

Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Answer:

what are yo tring to sya

Step-by-step explanation:

Answer:

Umm are you going to repost and actually ask the question and give the right amount of points?

Step-by-step explanation:

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

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

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

[tex]\mu = np[/tex]

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Answer:

the data shows a linear relationship because the rate of change in decreasing

Step-by-step explanation:

hope it helps

Answer:

2.5

Step-by-step explanation:

22.5/9=2.5

Answer:

4

Step-by-step explanation:

2+2 = 4

hope this helps...

Answer:

4

Step-by-step explanation:

Answer:

A unit rate is a rate with 1 in the denominator

The statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.

"It is a point or set of points (x, y) that satisfies all the constraints of the given problem."

"It is a solution that makes sense in context as well as mathematically. "

"It is a set of equations for which we find a common solution."

For given question,

Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground.

Given that, x represents the time, in seconds, since the timer starts.

The graph shows the vertical height of the tennis ball and balloon, in feet.

The solution to the system of equations are the points at which the graphs to the system of equations intersect each other.

From the given graph we can observe that,

the graphs intersect at points having the x values near x = 1.2 and x = -3.2 This means, there are two possible solutions.

But we know that the negative value of x (time) is not viable.

Therefore, the statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.

Learn more about system of equations here:

https://brainly.com/question/13997560

#SPJ2

Answer:

Step-by-step explanation:

The greater the negative number the more small it is

-100<-2<-1/2

Percent can be turned into decimals by moving the decimal place two spaces to the left.

Answer:

exhale :)

Step-by-step explanation:

Answer:

Exhale

Step-by-step explanation:

Wishing Well by Juice WRLD

Hope you have a good day :) and thx for the points

Answer:

once

Step-by-step explanation:

The vertical line test shows how many outputs (y-value) there are for one input (x-value). There can only one output for each input because only one value should satisfy an equation that represents a function. If the vertical line  goes through the graph twice, that shows there are two outputs for a single x-value. This would mean it is not a function.

Answer:

No

Step-by-step explanation:

There are two values for x=0

Answer:

The cost of 432 meters square = $21924

Step-by-step explanation:

The length of the plot = l = 27m

The width of the plot = w = 16m

We know that the area of a rectangular object can be determined by multiplying the length and width.

Thus, the area of the rectangular vegetable plot will be:

[tex]A = wl[/tex]

substituting w = 16 and l = 27

A = 16 × 27

A = 432 m²

Therefore, the vegetable plot will be:

A = 432 meter square

Given

The cost of ploughing field of 1 meter square =  $50.75

so

The cost of ploughing field 432 meters square = 50.75 × 432

                                                                               = $21924

Therefore, the cost of 432 meters square = $21924

Answer:

[tex]7 \frac{26}{15}[/tex]

Step-by-step explanation:

[tex]8 \frac{11}{15} = 7 \frac{?}{15}[/tex]

Remember the multiply and add rule or improper fractions. To convert from a mixed number to an improper fraction, one must multiply the number part of the mixed number by the bottom (denominator) on the fraction. Then one must add that to the numerator (top) of the fraction. Since 7 is 1 less than 8, then one would have to multiply 15 by 1, and add it to 11, to get the value on top of [tex]7 \frac{?}{15}[/tex] The value would be;

[tex]7 \frac{26}{15}[/tex]

Answer:

7 26/18

Step-by-step explanation:

Answer:

Larissa takes 59.141 seconds to complete both laps.

Step-by-step explanation:

The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) She completes her first lap in 31.135 seconds:

[tex]x_{1} = 31.135\,s[/tex]

(ii) She completes her second lap 3.129 seconds faster than the first lap:

[tex]x_{2} = x_{1}-3.129\,s[/tex]

[tex]x_{2} = 31.135\,s - 3.129\,s[/tex]

[tex]x_{2} = 28.006\,s[/tex]

Then, the time taken by Larissa to complete both laps is:

[tex]\Delta x = x_{1} + x_{2}[/tex]

[tex]\Delta x = 31.135\,s+28.006\,s[/tex]

[tex]\Delta x = 59.141\,s[/tex]

Larissa takes 59.141 seconds to complete both laps.

Answer:

O negative

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

The slope is going diagonally to the bottom right which makes it negative.

A slope would be undefined if it went straight up.

A slope would be zero if it went horizontally.

A slope would be positive if it were going up (opposite of negative!)

Hope this helps!

Answer:

i am not pretty sure what is X but the answer is 1/2 i think!

Step-by-step explanation:

Answer:

4yd, 1ft

Step-by-step explanation:

2yd + 2yd = 4yd

4yd + 1ft = 4yd, 1ft

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 - So this means from the choices, [tex]\sqrt[10]{y}=\sqrt[10]{y}[/tex].

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