In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Answer:

12.1%

Step-by-step explanation:

Answer:8 in the hundreds place is 10 times the value of the 8 in the tens place.

Step-by-step explanation:its easy

The hundreds place is 10 times of the tens place.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The value of 8 in the hundreds place. If the value of the 8 is in the tens place. Then the number will be 880.

Then the number of times of the hundreds place and tens place will be given by the division of the numbers 800 and 80.

⇒ 800 / 80

⇒ 10

The hundreds place is 10 times of the tens place.

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Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

Answer:

8 meters

Step-by-step explanation:

Since the 4 sides of a square are all equal, the area of a square can be found using:

a=s*s or

a=s^2

We know that the area is 64 square meters, so we can substitute 64 in for a

64=s^2

We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.

[tex]\sqrt{64}=\sqrt{s^2}[/tex]

8=s

So, one side of the backyard is 8 meters

Answer:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Step-by-step explanation:

From the free body diagram attached  below; we will see that

T₃ = Fg   ------ (1)

Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero

Then;

[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]

[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]

Also;

[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]

[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex]   ---- (3)

From equation (2):

[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]

Replacing the above value for  T₂  into equation 3; we have

[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]

[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]

[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex]  ---- (4)

Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B

So ; equation 4 can now be:

[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex]  --- (5)

replacing equation (1) into  equation (5) ; we have:

[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]

Hence; the tension in the string is:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Answer:

you need Jesus lol :)

Step-by-step explanation:

.....

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:

11.36

Step-by-step explanation:

A=1/2*b*h

62.5=1/2*11*x(height)

62.5= 1/2*11*x

62.5=5.5*x

X=62.5/5.5

=11.36

Answer:

556 feet

Step-by-step explanation:

What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.

10^4 = 10,000

2.78 × 10,000 = 27,800

27,800 ÷ 50 = 556

Answer:

556

Step-by-step explanation:

Answer:

f = 8

Step-by-step explanation:

21 + 5f = 61

5f = 61 - 21

f = (61 - 21) / 5

f = 8

Answer:

f = 8

Step-by-step explanation:

"Sum" = addition

"Times" = multiplication

Write an equation to represent this scenario

21 + 5 * f = 61

Multiply 5 by f

21 + 5f = 61

Subtract 21 from both sides of the equation

5f = 40

Divide both sides of the equation by 5

f = 8

Hope this helps :)

Answer:

y = 5x

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

m = 5 on this graph

b is the y intercept which is 0 on this graph

Answer:

The answer is that the y-coordinate should be -3 1/2.

Step-by-step explanation:

First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.

Answer: 28.27

Step-by-step explanation:

First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.

Answer:

  y = 2

Step-by-step explanation:

PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)

Then you can write ...

  53y -16 = 90

  53y = 106 . . . . . add 16

  y = 106/53 = 2 . . . . divide by the coefficient of y

y = 2

Answer:

0

Step-by-step explanation:

The smallest (greater or equal to zero) multiple of 13 is 0

to get a positive multiple of 13 you have to multiply 13 by a natural number:

0 = 13×0

13 = 13×1

26 = 13×2

.

.

.

then the smallest one is 0.

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

1. Conditions

First we must check the conditions.

Randomization condition: The sample is given to be random, so we can assume independence.

Success/failure condition: Both np>10 and nq>10 must be met.

10% condition: The sample cannot be greater than 10% of the population.

All conditions are met, so we can use a 1-proportion z-interval to represent the data.

2. Mechanics

Find [tex]\hat{p}[/tex], the sample proportion.

103/1030 = .1

[tex]\hat{q}[/tex], then, the probability of not p, is 1 - .1 = .9

Find z* (z star), the critical z-value.

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

Plug values into the equation.

[tex]\hat{p}[/tex] ± z*[tex]\sqrt{\frac{\hat{p}\hat{q}}{n} }[/tex]

.1 ± 1.96[tex]\sqrt{\frac{.1*.9}{1030} }[/tex]

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

3. Conclusion

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

Answer:

7

Step-by-step explanation:

15 plus 6 equals 21

21 divided by 3 is 7

Answer:7

Step-by-step explanation:

sum of 15 and 6

15+6=21

1/3 Of The sum

1/3 of 21

1/3 x 21

(1x21)/3

21/3=7

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

[tex]\frac{M}{H} = \frac{5}{4}[/tex]

Also we have H : W = 8 : 9

[tex]\frac{H}{W} = \frac{8}{9}[/tex]

Now multiply these two equations we have

[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]

[tex]\frac{M}{W}= \frac{10}{9}[/tex]

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

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Answer:

2.86 yards

Step-by-step explanation:

Height = volume/parameter

Parameter = 1/2 diameter * pi

Height = 225 / parameter

Height=2.86

Answer:C

Step-by-step explanation:

3.1 x 10^(-4) x 8.5 x 10^(-2)

3.1 x 8.5 x 10^(-4) x 10^(-2)

26.35 x 10^(-4-2)

26.35 x 10^(-6)

2.635 x 10^1 x 10^(-6)

2.635 x 10^(1-6)

2.635 x 10^(-5)

Answer: m = -2.

The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].

The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].

We multiply both sides by LCM.

[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]

[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]

[tex]m^{2}-4m-4m-16=m^{2}[/tex]

[tex]8m=-16\\m=-2[/tex]

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Answer:

M=-2 B

Step-by-step explanation:

trust me i took the quiz

Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Answer:

f(x) = x + 13

Step-by-step explanation:

f(x) = x

when x = 0, y = 0

f(x) = x + 13

when x = 0, y = 13

Answer:

Number of total bees = 400

Step-by-step explanation:

He catches 100 bees from the hive and marks each one with a dye.

He later catches 60 and 15 were marked with the dye.

Its very to estimate from the data given.

I'll answer it with ratio.

We'll ratio number of bees with dye to total he caught the second day.

I.e 15:60 = 1:4

We'll multiply this ratio with the number he caught the first day to know the total.

1/4x =100

X = 100*4

X= 400

Where x is the total number of bees in the bee hive.

Answer:

The first option is not a function

Explanation:

A function is where there is no repeated x values

Just a reminder

Answer: Well, 4 groups of four, and roughly 6 student in a group

Step-by-step explanation:

The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.

Answer:

number of Lola hats = h

number of Polly hats = 3h

number of Darla hats = 3h - 8

Step-by-step explanation:

Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.

Let

number of Lola hats = h

number of Polly hats = 3h (recall Polly has triple as many as Lola)

number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)

The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats.  Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.

Answer:

The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 200, \pi = 0.3[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.2365[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.3635[/tex]

The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).

Answer:

$30.62

Step-by-step explanation:

12% of 40 is 4.8

(10% is 4, 2% is 0.8)

40- 4.8= 35.2

13% of 35.2 is 4.576

(10% is 3.52, 3% is 1.056)

35.2- 4.576= 30.624

then rounded to 2 decimal places

30.62

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.