8. Find the surface area of the cone to the nearest square unit. Use
= 3.14.
A 207 cm2
B 160 cm2
5 cm
C 302 cm2
D 320 cm2
6 cm
Diagram not to scale.

Answer:

Step-by-step explanation:

(x + 3)^2 + 2

= \(x^2+6x+9+2 = x^2+6x+11\)

Answer:

18ft

Step-by-step explanation:

Assuming that a=5, b=12

then this triangle is clearly in the

5-12-13

family of right triangles. And since the broken part has to be the hypotenuse, the original length had to be the shortest side and hypotenuse:

l=5%2B13=18

l=18ft

Answer:

94  boys and 56 girls.

Step-by-step explanation:

150/8 = 18.75 = x

b=x*5 = 94

g=x*3 = 56

b+g=150

Looking at the question, we see that the ratio of boys to girls is 5:3, the total is 8. We are trying to find what the ratio of boys to girls is while the total is 150. Now, we can easily divide 150 by 8, finding one part of our answer! 150 ÷ 8 ≈ 18 \(\frac{3}{4}\). now to multiply that by the amount of boys and girls (5:3), 18 \(\frac{3}{4}\)  × 5 = 93  \(\frac{3}{4}\)  and 18 \(\frac{3}{4}\) × 3 =  56 \(\frac{1}{4}\). After we round we get 94:56.

-----------

I hope this helps you! If you can't understand, try to comment and I'll try my best to help. Thanks! -Doodle

-----------

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

See more about percentage at brainly.com/question/32197511

#SPJ1

The length of the tile Candace is designing is 3 /2 meters.

The rectangular tiles he is designing has the following dimension:

width = 3/5 meters

area = 9/10 meters

The length of the tiles Candace is designing can be calculated below:

area of a rectangle = lw

where

l = length

w  = width

Therefore,

9/10 = 3/5 l

cross multiply

9 × 5 = 3 × 10l

45 = 30l

divide both sides by 30

45 / 30 = l

l = 9 / 6 = 3 / 2 meters

length = 3 / 2 meters

learn more: https://brainly.com/question/23272398?referrer=searchResults

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)

Hence, Required probability =0.655

The first 4 terms of given recursive formulas will be as follows

The recursive expression provides two pieces of information:

the first term in the sequence.

the pattern rule that takes each term from the previous term.

As we have G(1) = 18, G(n) = 2 · G(n − 1).

It's A geometric sequence with r as 2

∴ G(2) = 2 · G(2 − 1) = 2 · G(1) = 2(18) = 36.

∴ G(3) = 2 · G(3 − 1) = 2 · G(2) = 2(36) = 72.

∴ G(4) = 2 · G(4 − 1) = 2 · G(3) = 2(72) = 144.

As we have H(1) = 3, H(n) = 5 · H(n − 1).

It's A geometric sequence with r as 5

H(2) = 5 · H(2 − 1) = 5 . H(1) = 5(3) = 15.

H(3) = 5 · H(3 − 1) = 5 . H(2) = 5(15) = 75.

H(4) = 5 · H(4 − 1) = 5 . H(3) = 5(75) = 325.

As we have J(1) = 3, J(n) = J(n − 1) + 5

It's an arithmetic sequence with d as 5

J(2) = J(2 − 1) + 5 = J(1) + 5 = 3+5 = 8.

J(3) = J(3 − 1) + 5 = J(2) + 5 = 8+5 = 13.

J(4) = J(4 − 1) + 5 = J(3) + 5 = 13+5 = 18.

As we have M(1) = 3, M(n) = 2 · M(n − 1)

It's A geometric sequence with r as 2

M(2) = 2 · M(2 − 1) = 2 · M(1) = 2(3) = 6.

M(3) = 2 · M(3 - 1) = 2 · M(2) = 2(6) = 12.

M(4) = 2 · M(4 - 1) = 2 · M(3) = 2(12) = 24.

Know more about recursive formulas visit

https://brainly.com/question/1275192

#SPJ9

The correlation coefficient of 0.90 indicates the strongest linear relationship between two variables. It means that there is a strong positive or negative linear relationship between the two variables.

The correlation coefficient is calculated by finding the covariance of two variables, divided by the product of their standard deviations. The formula is as follows:

Coefficient = Covariance(X,Y) / (Standard Deviation of X * Standard Deviation of Y)

For example, if X and Y have a covariance of 6 and standard deviations of 2 and 3 respectively, then the correlation coefficient is:

Coefficient

= 6 / (2 * 3)

= 0.90

Learn more about variable here

brainly.com/question/29583350

#SPJ4

The correlation coefficients indicates the strongest relationship between two variables is 0.90

The term correlation coefficient in math is defined as the strength of association between two variables.

Here we need to identify the correlation coefficients indicates the strongest relationship between two variables.

As  we all know that the value of a correlation coefficient ranges between -1 and 1 and here we also know that the strongest linear relationship is indicated by a correlation coefficient of -1 or 1.

Here the weakest linear relationship is indicated by a correlation coefficient equal to 0.

If there is a positive correlation means that if one variable gets bigger, then the other variable tends to get bigger where as in a negative correlation means that if one variable gets bigger, then the other variable tends to get smaller.

Based on these definition, we have identified that option (b) is correct.

To know more about Correlation here.

https://brainly.com/question/27226153

#SPJ4

The best method to ensure an unbiased sample is to randomly select parents from the entire population of parents with enrolled students at the school.

To ensure an unbiased sample for the survey, the method used should not favor any particular group or exclude any group from the population.

Option A: Surveying all parents attending the next PTO meeting would not be an unbiased sample as not all parents attend PTO meetings.

Option B: Surveying every fifth person on a list of parent volunteers would also not be an unbiased sample as it may exclude parents who are not on the list.

Option C: Surveying all parents waiting in the pick-up line after school may not be an unbiased sample as it may exclude parents who do not pick up their children from school.

Option D: Surveying all parents of students whose birthdays are on even-numbered days may not be an unbiased sample as it excludes parents whose children's birthdays are on odd-numbered days.

Therefore, the best method to ensure an unbiased sample is to randomly select parents from the entire population of parents with enrolled students at the school.

To know more about random sampling visit:

brainly.com/question/30759604

#SPJ1

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Learn more about Data collection at

https://brainly.com/question/30363831

#SPJ1

Complete question :

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.

Answer:

We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.

Step-by-step explanation:

H0 : μ = 35

H1 : μ < 35

Sample size, n = 20

Standard deviation, s = 4.3

xbar = 33.1

Test statistic :

T = (xbar - μ) ÷ (s /√n)

T = (33.1 - 35) ÷ (4.3 /√20)

T = - 1.9 ÷ 0.9615092

T = - 1.976

The Pvalue can be obtained from the test statistic using a Pvalue calculator :

Pvalue at 0.05 ; df = 19 is 0.0314

Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

Answer:

4w^2 +4w+1

this is the product.

Step-by-step explanation:

Answer:

4w^2+4w+1 is very correct

Step-by-step explanation:

so I just wanted to explain more

so you expand the question like this

(2w+1)(2w+1) then

further expand by 2w(2w+1)+1(2w+1) so you use what was in the first bracket to multiply the second bracket

then it will be 2w×2w= 4w^2 that how I got that part so you multiply what's in the bracket by what is outside of it = 4w^2 +2w+2w+1 = 4w^2 +4w not 4w^2 because it's not multiplication +1

Okay, here we have this:

Considering the provided table, we are going to analize if the table shows direct variation, so we obtain the following:

To identify if there is direct variation then we will calculate the ratios between the points, and if they are all the same then the table does show direct variation, then we have:

y=kx

k=y/x

5/2=2.5

45/18=2.5

80/30=2.66

Since the ratios between the points are not the same, then it does not represent a direct variation.

Answer:

3.93

Step-by-step explanation:

the circle is 3.14 area plus the bottom .79 area = 3.93

The solution to the system of equations is x = 2 and y = -8.

To solve the system of equations, we'll use the substitution method. The given equations are:

Equation 1: 8x + 5y = 24

Equation 2: y = -4x

We'll substitute Equation 2 into Equation 1 to eliminate one variable:

8x + 5(-4x) = 24

8x - 20x = 24   [Distribute the -4]

-12x = 24        [Combine like terms]

x = 24 / -12    [Divide both sides by -12]

x = -2

Now that we have the value of x, we can substitute it back into Equation 2 to find the value of y:

y = -4(-2)

y = 8

Therefore, the solution to the system of equations is x = -2 and y = 8.

However, let's double-check the solution by substituting these values into the original equations:

Equation 1: 8(-2) + 5(8) = 24

-16 + 40 = 24

24 = 24    [LHS = RHS, equation is satisfied]

Equation 2: 8 = -4(-2)

8 = 8       [LHS = RHS, equation is satisfied]

Both equations are satisfied, confirming that x = -2 and y = 8 is indeed the solution to the given system of equations.

For more such questions on equations , click on:

https://brainly.com/question/17145398

#SPJ8

Step-by-step explanation:

Distance travelled in 1 hour = 92 km

Time taken to travel 276 km

= 276 / 92

= 3 hours

Hope it will help :)

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

For more questions on Position .

https://brainly.com/question/31903603

#SPJ8

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

Answer:

95?

Step-by-step explanation:

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Given:

As, it is right angled triangle.

So, the side JK=4.5 ( nearest to tenth)

A man who weighs 150 pounds is one standard deviation below the mean weight for men aged 18 to 24.

In your case, you have been given the mean weight and standard deviation of men aged 18 to 24, which is a normal distribution. Now, if you want to find the standardized score or z-score for a particular weight, you can use the following formula:

z = (x - μ) / σ

where z is the standardized score, x is the weight you want to find the z-score for, μ is the mean weight, and σ is the standard deviation.

Let's say you want to find the z-score for a man who weighs 190 pounds. Using the formula above, we get:

z = (190 - 170) / 20

z = 1

This means that a man who weighs 190 pounds is one standard deviation above the mean weight for men aged 18 to 24.

Similarly, if you want to find the z-score for a man who weighs 150 pounds, we get:

z = (150 - 170) / 20

z = -1

To know more about standard deviation here.

https://brainly.com/question/16555520

#SPJ4

Answer:

yes

Step-by-step explanation:

because x=3 in both scenarios

Answer: question 1) 20% decrease.

question 2) 20% increase.

Step-by-step explanation:

use the percent change formula.

Answer:

(3, 0)

Step-by-step explanation:

I assume this means a clockwise rotation.

let's think this through logically :

the last option (0, 3) cannot be right, because that is F before the rotation. to go back to the original position requires a full rotation of 360° (remember, a circle has 360°, and that means to travel one complete time around the circle).

(0, -3) cannot be right, because this is just mirrored down, and would represent a turn of 180° (a half-circle).

for the other options imagine you use a math compass, put the pin on the origin, and the writing arm on F. and the you draw a circle through F.

(3, 0) is the result of the clockwise (right) turn of 90°, (-3, 0) would be the result of a counterclockwise (left) turn of 90°.

so, if my assumption above is incorrect, please pick (-3, 0) for the counterclockwise solution.