You walk around a circular pond of radius 13 miles for angle of theta = 10 degrees degree Which one of the following shows the distance you walked around the pond? (Take pi approx 3.14)
(A) 0.27 miles
(B) 10 miles
(C) 2.27 miles
(D) 1.3 miles

Answer:

1/6

Step-by-step explanation:

P(8) = number of 8's / total = 1/3

Then keeping the card so we have 7 and 9

P(7) =  number of 7's / total = 1/2

P(8, keep, 7) = 1/3 * 1/2 = 1/6

Answer:

a. 0.0385

b. 3.44% probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.43, n = 165[/tex]

a. Calculate the appropriate standard error calculation for the data.

[tex]s = \sqrt{\frac{0.43*0.57}{165}} = 0.0385[/tex]

b. What is probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home?

This is 1 subtracted by the pvalue of Z when X = 0.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.5 - 0.43}{0.0385}[/tex]

[tex]Z = 1.82[/tex]

[tex]Z = 1.82[/tex] has a pvalue of 0.9656

1 - 0.9656 = 0.0344

3.44% probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home

Answer:

85%

Step-by-step explanation:

Given data

Exam score earned by student = 87

class average = 78

s = 8.69

Calculate the percentage of people that earned a score below your score

P ( z < 1.04 ) = 0.8508 = 85%

Note : Z ( z score ) = (exam score - class average) / s

                   = (87 - 78) / 8.69 = 1.04

Answer:

Step-by-step explanation:

There are two ways to find the value of X

[tex]x + 35 = 180[/tex] ( sum of co-interior angles)

Move constant to R.H.S and change its sign

[tex]x = 180 - 35[/tex]

Calculate the difference

[tex]x = 145[/tex]°

You can use another way too.

[tex]x = 145[/tex]° ( being vertically opposite angles)

Vertically opposite angles are always equal.

Hope this helps...

Best regards!!

Answer:

x = 145°

Step-by-step explanation:

Vertically opposite, also interior angles always add up to 180° so if you want to double check this, do 145° + 35° you should get 180°

I hope this helped you :)

The graph of a curve crosses the x-axis n times, where n is the amount of solutions (roots) it has.

So if it's a quadratic function (with 2 solutions) we can say that it the graph will cross the x-axis twice

The parabola crosses the x-axis twice. Therefore, option A is the correct answer.

Given that, a quadratic function has two solutions.

We need to find what would you expect to see on the graph of its parabola.

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2. A quadratic function has a minimum of one term which is of the second degree. It is an algebraic function.

The solutions to a quadratic equation are the values of x where the graph crosses the x-axis at two points.

The parabola crosses the x-axis twice. Therefore, option A is the correct answer.

To learn more about a quadratic function visit:

https://brainly.com/question/27918223.

#SPJ2

Answer:

hyg

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The average is  found by adding all the numbers and dividing by 5

(2+ 81+ 29+ 18+ x)/5 = 26.8

Multiply each side by 5

(2+ 81+ 29+ 18+ x) = 134

x+130 =134

Subtract 130 from each side

x = 4

Now we want the median

List the numbers in order from smallest to largest

2,4,18,29 ,81

The median is the middle

Answer:

x = 4, Median = 18

Step-by-step explanation:

Since the Average/Mean is 26.8

So,

Mean = [tex]\frac{Sum Of Observations}{Total No.OfObservations}[/tex]

26.8 = [tex]\frac{2+81+29+18+x}{5}[/tex]

=> 26.8*5 = 130 + x

=> 134 = 130 + x

Subtracting 130 to both sides

=> x = 134-130

=> x = 4

Now, The data becomes:

=> 2,81,29,18,4

In ascending order:

=> 2,4,18,29,81

Finding Median (The middlemost no.)

=> 18

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = [tex]^{52}C_8[/tex]

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = [tex]^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex]  [since 1 suit has 13 cards]

The required probability = [tex]=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}[/tex]

[tex]=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757[/tex]

Hence, the required probability is 0.003757 (approx).

Answer:

1. [tex]V(t) = -32500t + 245000[/tex]

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: [tex]V(t) = -32500t + 245000[/tex]

2. t-intercept: [tex]t = 7.5385[/tex]

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3. Graph in the image attached.

4. The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5. [tex]V(8) = -15000[/tex]

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6. After 3.6 years.

7. Between 3.23 years and 5.63 years.

Step-by-step explanation:

1.

The inicial value is 245,000, and each year the value decreases 32,500, so we can write the equation:

[tex]V(t) = -32500t + 245000[/tex]

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: [tex]V(t) = -32500t + 245000[/tex]

2.

To find the t-intercept we just need to use V(t) = 0 and then find the value of t:

[tex]0 = -32500t + 245000[/tex]

[tex]32500t = 245000[/tex]

[tex]t = 7.5385[/tex]

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3.

The graph of the function is in the image attached.

4.

The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5.

[tex]V(8) = -32500*8 + 245000 = -15000[/tex]

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6.

[tex]128000 = -32500t + 245000[/tex]

[tex]32500t = 117000[/tex]

[tex]t = 3.6[/tex]

After 3.6 years.

7.

[tex]62000 = -32500t + 245000[/tex]

[tex]32500t = 183000[/tex]

[tex]t = 5.6308[/tex]

[tex]140000 = -32500t + 245000[/tex]

[tex]32500t = 105000[/tex]

[tex]t = 3.2308[/tex]

Between 3.23 years and 5.63 years.

Answer:

The​ z-score that has 72.2​% of the​ distribution's area to its right is z=-0.58879.

Step-by-step explanation:

To find the z-score that has 72.2% of the distribution's area to its right, we have to find z* that satisfies this condition:

[tex]P(z>z^*)=0.722[/tex]

This can also be written as:

[tex]P(z<z^*)=1-0.722=0.278[/tex]

This can be looked up in the z-score table or in an applet.

The​ z-score that has 72.2​% of the​ distribution's area to its right is z=-0.58879.

The curve is attached with this example.

Answer: The second image, the second image where b' is right above b is the correct answer for this, hope this helped!

<!> Brainliest is appreciated! <!>

Step-by-step explanation:

Answer

i woukldnt know

Step-by-step explanation:

ahahahahahahahahahahahahhahahahahaha

Answer:

10 and 5.

Step-by-step explanation:

Let the integers be x and y.

xy = 50

x = 2y

Put x as 2y in the first equation.

(2y)y = 50

2y² = 50

y² = 50/2

y² = 25

y = √25

y = 5

Put y as 5 in the second equation.

x = 2(5)

x = 10

Answer:

First, you put the answer in slope intercept form,y=-7+4x. You substiuite which is going to be y-4x+4x=-7+4x. You simplify to y=-7+4x. You plug that into the other equation and solve. It turns out to be y= -59/9, and x=1/9. Hope this helps!

Answer:

y - 4x = -7 ...... 1

5x+y=-6 ......... 2

Make y the subject in equation 1

Thus

y = - 7 + 4x

Substitute this into Equation 2

We get

5x - 7 + 4x = - 6

9x = -6 + 7

9x = 1

x = 1/9

Substitute x = 1/9 into equation 1

y = -7 + 4x

y = - 7 + 4(1/9)

y = -7 + 4/9

y = - 59/9

x = 1/9 , y = -59/9

Hope this helps

Answer:

The equation in slope-intercept form is y = x-5

Step-by-step explanation:

Answer:

y = x-5

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

[tex]3\frac{5}{6}[/tex]

▹ Step-by-Step Explanation

6 drinks = 6 Pack (one pack)

23 ÷ 6 = [tex]\frac{23}{6} = 3\frac{5}{6}[/tex]

Mixed number - [tex]3\frac{5}{6}[/tex]

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: It's 3 5/6

but isn't this 4th-grade work?

Step-by-step explanation:

Answer:

D. If two planes intersect, their intersection is a point.

Step-by-step explanation:

Let's verify the answer choices:

A. Given any two distinct points, there is exactly one line that contains them.

B. Every plane contains at least three points that do not lie on the same line.

C. If two points lie in a plane, the line containing these points also lies in the plane.

D. If two planes intersect, their intersection is a point.

Answer: geometry Euclidean

Step-by-step explanation:

Answer:

C. 9π

Step-by-step explanation:

r=x-1

A=πr^2

--------

--------

A= πr^2= π*(4-1)^2= 9π, option C.

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

[tex]4x^2+5x+1=0\\Write +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\\4x^{2} +4x+1x+1=0\\Factorize-out-common-terms\\4x(x+1)+1(x+1)=0\\Factor-out-(x+1)\\(4x+1)(x+1)=0\\4x+1 =0 \\x+1=0\\4x=0-1\\x =0-1\\4x =-1\\x =-1\\4x=-\frac{1}{4} \\\\Answer = -1/4 , -1[/tex]

Quadratic Equation

[tex]4x^2+5x+1=0\\a = 4\\b =5\\c = 1\\\\x =\frac{-b\±\sqrt{b^2 -4ac} }{2a} \\\\x = \frac{-(5)\±\sqrt{(5)^2-4(4)(1)} }{2(4)} \\\\x = \frac{-5\±\sqrt{25-16} }{8} \\\\x = \frac{-5\±\sqrt{9} }{8} \\\\x = \frac{-5\±3}{8} \\\\x =\frac{-5+3}{8} \\\\x = \frac{-5-3}{8} \\\\x = \frac{-2}{8} \\\\x = \frac{-8}{8} \\\\x = -\frac{1}{4} \\x=-1[/tex]

Answer:

C Nasir was more successful because he had the greater measure of center

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

There is no mode

Step-by-step explanation:

Mode is the most occurring no. and there's no number which is the most occurring.

Answer:

No mode

Step-by-step explanation:

In a set of numbers, mode is the most repeated number.

1, 4, 24, 14, 98, 37

There are no repeated numbers in this set.

Answer:

x = 1

y = 4

Step-by-step explanation:

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1

Answer:

x = 1, y = 4

Step-by-step explanation:

5x+2y = 13

x+2y = 9

Subtracting both equations

=> 5x+2y-x-2y = 13-9

=> 4x = 4

=> x = 1

Now, Putting x = 1 in the first equation

=> 5(1)+2y = 13

=> 2y = 13-5

=> 2y = 8

=> y = 4

Answer:

900°

Step-by-step explanation:

interior angles of a polygon = (n−2)×180°, where n is number of sides

for heptagon it is: (7-2)×180°= 900°

Answer:

8:26 AM

Step-by-step explanation:

9:00 a.m. to 10:00 a.m constitute one hour

1 hour = 60 minutes

as we have to distribute time within 1 hour only, it is better to take it in minutes as we have to divide it into three parts.

Given break duration = 8 minutes

let time before break and after break be x minutes.

Thus,

Time before break + interval duration+Time after break = 60 minutes

x + 8 + x = 60

=> 2x = 60-8 = 52

=> x = 52/2 = 26

Thus, first lesson should end at 26 minutes

so time will be 8 Am + 26 minutes = 8:26 AM

Thus, break will start at 8:26 AM.

Answer:

1. Is (A) Subtract 2 to both sides

2. Is (C)

Step-by-step explanation:

Answer:

6/5÷31/10=12/31

Step-by-step explanation:

6/5÷31/10=?Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

6/5×10/31=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

6×10 5×31=60/155

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 60 and 155 using

GCF(60,155) = 5

60÷51   55÷5=12/31

Therefore:

65÷3110=12/31

Answer:

7

Step-by-step explanation:

We can multiply the exponents so (7¹⁺²)² = 7⁽¹⁺² * ²⁾ = 7¹ = 7.

Answer:

7

Step-by-step explanation:

[tex](7^{\frac{1}{2}})^2 = (\sqrt{7})^2 = \sqrt{7} \times \sqrt{7} = \sqrt{7 \times 7} = \sqrt{49} = 7[/tex]

Answer:

[tex]3.2*10^2=320[/tex] mph

Step-by-step explanation:

hello,

it travels [tex]8.0*10^2[/tex] miles in 2.5 hours

So in 1 hours it travels

[tex]\dfrac{8.0*10^2}{2.5}=3.2*10^2[/tex]

miles

hope this helps

Answer:

3/4

Step-by-step explanation:

Rise over run.

Go up 3 units and 4 units to the right to find the next point

Answer:

Using points ( 8 , 9 ) and ( 4 , 6)

Slope = 6-9/4-8

= -3/-4

= 3/4

Hope this helps