Luke has r red peppers and 84 green peppers. Write an expression that shows how many peppers Luke has.

2.1 miles can Harry run in 14.7 minutes

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Harry is training for a cross-country track event.

The table shows the proportional relationship between his distance and time.

Distance (miles)       0.6      1.4       ?

Time (minutes)         4.2      9.8     14.7

We need to find the miles can Harry run in 14.7 minutes

Let us check the proportional relationship between the distance and time

4.2/0.6=7

9.8/1.4=7

Now

14.7/x=7

x=14.7/7=2.1

Hence 2.1 miles can Harry run in 14.7 minutes

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Answer:

2.1 miles can Harry run in 14.7 minutes

Step-by-step explanation:

I took the test and got it right

Answer:

The one that you pick is correct

The balance of the account which earns annual simple interest of $250 at 4% for 1 year is $260

Simple interest = principal × rate × time

= 250 × 4% × 1

= 250 × 0.04 × 1

= $10

Balance = Principal + Simple interest

= $250 + $10

= $260

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The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.

The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.

To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.

Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:

standard deviation of the sample mean = standard deviation of the population / square root of the sample size

In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:

0.25 / sqrt(40) = 0.0395

Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).

To find the probability that a bulb will last for 60 months, we can use the following equation:

z = (x - μ) / σ

where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.

Plugging in the values, we get:

z = (60 - 2) / 0.0395 = 1509.49

To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.

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Answer:

After 24 hours, there will be 4191 bacteria present in the culture.

Step-by-step explanation:

Initial number of bacteria = 300

amount in 10 hrs = 3 x 300 = 900

time taken = 10 hours

Bacterial growth is exponential, ans so we use the equation

N = N'\(e^{kt}\)

where N is the final amount

N' is the initial amount

k is the growth constant

t is the time

For this first case, we have

900 = 300 x \(e^{k*10}\)

3 = \(e^{10k}\)

take natural log of both sides, we'll have

ln 3 = ln \(e^{10k}\)

1.0986 = 10k

k = 1.0986/10 = 0.10986

using the growth constant above, we calculate for a day which is 24 hours

N = N'\(e^{kt}\)

N = 300 x \(e^{0.10986*24}\)

N = 300 x \(e^{2.637}\)

N = 300 x 13.97

N = 4191 bacteria

Step-by-step explanation:

1/3×π×r^2×15=1570. r^2=1570×21/(22×15);r=10.00

the number of Red sweets=14

Let the probability of getting a red sweet be = P(R)

Let the probability of getting a Blue sweet be = P(B)

Let the probability of getting an orange sweet be = P(O)

Let the probability of getting a yellow sweet be = P(Y)

Let the number of Red sweets be represented as = n(R)

Let the number of Yellow sweets be represented as = n(Y)

Let the number of Orange sweets be represented as = n(O)

Let the number of Blue sweets be represented as = n(B)

Let the total number of sweets in the jar be represented as = n(T)

P(B) = 0.5

P(E) = 0.2

P(R) = 2 x P(O)

The formula of probability =

Number of the Sweets of a color/Total number of sweets in the jar

then,

P(B)=n(B)/ n(T)

P(B)=0.5 (Given in question)

n(B)=20 (Given in question)

So,

0.5 = 20/n(T)

5/10 = 20/n(T)

5/10 x 1/20 = 1/n(T)

cross multiplying

n(T)=10/5 x 20

dividing 10 by 5 =2

n(T) = 2 x 20

n(T) = 40

P(Y)=0.2 (Given in question)

Applying the formula of probability

P(Y) = n(Y)/n(T)

putting values

0.2=n(Y)/40

2/10=n(Y)/40

2/10 x 40 =n(Y)

Dividing 40 by 10 = 4

n(Y)= 2 x 4

n(Y)= 8

P(R)=2P(O)

Applying the formula of probability

n(R)/n(T)=2n(O)/n(T)

Cancelling out n(T) with n(T)

So,

n(R)=2 x n(O) -(i)

n(T) = n(O)+n(R)+n(B)+n(Y)

putting values

40=n(O)+n(R)+20+8

40=n(O)+n(R)+28

40-18=n(O)+n(R)

From -(i)

22=2n(O)+n(O)  

22=3n(O)

n(O)=22/3

Since,

n(R)=2xn(O)

n(R)=2x22/3

n(R)=44/3

n(R)=14.6

the number of Red sweets=14.6

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D. y-2 cos(2x) + 4 is not a solution to the differential equation y" + 4y = 0.

The differential equation y" + 4y = 0 is a second-order, homogeneous linear differential equation with constant coefficients. The general solution to this type of differential equation is of the form y = e^(rt) where r is a root of the characteristic equation r² + 4 = 0. The roots of this equation are r = +/- √(4) = +/- 2i, which are both imaginary. Therefore, the general solution to the differential equation is y = c1cos(2x) + c2*sin(2x), where c1 and c2 are arbitrary constants.

Option D. y - 2 cos(2x) + 4 is not a solution to this differential equation because it doesn't have the same form as the general solution. It is a combination of a constant term, cosine and sine function but the general solution only contains sine and cosine function.

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Answer:

b = 72

c = 36

d = 144

Step-by-step explanation:

As every angle in the pentagon are equal (the lines inside every angle mean they are equal), angles on a straight line must add up to 180° ∴

A = 108°

108 + b = 180

180 - 108 = b

72 = b

As the top left angle of the triangle is also on a straight line with one of these angles, the value of this angle is also 72°.

All angles in a triangle must add up to 180° ∴

72 + 72 + c = 180

144 + c = 180

c = 180 - 144

c = 36

Angles on a straight line must add to 180° ∴

d + c = 180

d + 36 = 180

d = 180 - 36

d = 144

Hope this helps!

Answer:

Step-by-step explanation:

First, we must find the total amount of degrees in the pentagon shape.

Hence, the amount of degrees in the pentagon shape is 540°.

You have stated that A is 108°.

Check:

Hence, it is proven that this pentagon is a regular pentagon. With that, we are given a clue to find ∠B.

Hence, the value of ∠B is 72°

Since ∠B is 72°, we know that the angle in the top left of the triangle is also 72. The triangles sum up-to 180°.

Hence, the value of ∠C is 36°.

We have got a clue, let's use that clue to solve ∠D.

Hence, the value of ∠D is 144°.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

slope=(1-3)/(-2-(-5))

=-2/(-2+5)

=-2/3

Answer:

1700

Step-by-step explanation:

Answer:

9/14

Step-by-step explanation:

81/126=9x9/9x14=9/14

Answer:

9/14

Step-by-step explanation:

I divided both the numerator and denominator by 9 and 9/14 is the "most simplified" it can go to, unless I'm incorrect. Hope this helped ^-^

Answer:

i put 106 and i got it right

Step-by-step explanation:

Answer:

An outlier will weaken the correlation making the data more scattered so r gets closer to 0. Therefore, if you remove the outlier, the r value will increase (stronger correlation since data will be less scattered)

Answer:

Step-by-step explanation:

Answer:

to compare them, you have to get the same denominator. So you change the denominator to 24 by multipling 7/12 by 2, and 5/8 by 3. Then you have 14/24 and 15/24. This means that 5/8 is greater than 7/12

Step-by-step explanation:

Hope this helps. If you want, please mark me as brainliest

Answer: Please mark me brainlest 15

24

>

14

24

or

5

8

>

7

12

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5

8

=

5 × 3

8 × 3

=

15

24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7

12

=

7 × 2

12 × 2

=

14

24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

above sea level

Step-by-step explanation:

There are 220 possible arrangements for the 12 students in a row of 12 seats.

To explain this further, we need to understand the concept of permutations. Permutations are the different ways in which a set of objects can be arranged in a specific order. In this case, we want to arrange the 12 students in a row of 12 seats.

To find the number of possible arrangements, we can start by considering the total number of ways to arrange the 12 students without any restrictions. This can be calculated as 12!

However, since there are 9 boys and 3 girls, we need to account for the fact that the boys and girls can be rearranged amongst themselves without changing the overall arrangement. Therefore, we divide by the number of ways to arrange the boys (9!) and the number of ways to arrange the girls (3!).

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9514 1404 393

Answer:

  b = 20/7

Step-by-step explanation:

The slope of the first line can be found by solving for y:

  by = -5x +6 . . . . . . add 6-5x

  y = -5/b +6/b . . . . . divide by b

The slope is -5/b.

The slope of the second line can be found by solving for y:

  7y = 4x +7

  y = 4/7x +1 . . . . . . divide by 7

The slope is 4/7.

For the lines to be perpendicular, the product of these slopes must be -1:

  (-5/b)(4/7) = -1

  -20/(7b) = -1 . . . . simplify

  b = 20/7 . . . . . . . multiply by -b

The lines will be perpendicular when b = 20/7.

Answer:

8(h)=x

Step-by-step explanation:

Matt earns 8 dollars for every hour he works. So you multiply the total numbers worked (h) by 8. That will give you the amount of money he's made(x) so the equation would be 8(h)=x

Answer:

(7/2)2

Step-by-step explanation:

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

z=12/9 or 4/3 or 1 1/3

Step-by-step explanation:

1/3 needs to have a denominator of 9 so 3/9 because 3x3=9 and you have to multiply the numerator by 3 also

z-4/9-3/9=5/9

add -4/9 and -3/9 because you add two negative numbers

new equation

z-7/9=5/9

add 7/9 to 5/9

z=12/9 or 4/3 or 1 1/3

Answer: 13 packages.

Step-by-step explanation:

This can be translated to:

Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages. What is the largest number of packages that Tim can do?

To solve this we must find the largest common factor between 39 and 13.

to do this, we divide the smaller number by different integers, and see if the result also divides the larger number into an integer.

13/1 =13 and 39/13 = 3

So 13 is the largest common factor.

This means that we can make 13 packages, each with:

39/13= 3 headphones

13/13 = 1 music players

Answer: The correct answer is D

Step-by-step explanation:

Answer:

4π

Step-by-step explanation:

180 * 4 * π/180 radians

180s cancel out

4π radians

Step-by-step explanation:

15^7-15^4

take one of the base and subtract the powers

15^(7-4)

15^3