Which number line shows the solution to the inequality?
y-2 <-5

we have

20 objects

8 black

7 red

rest white

20-8-7= 5

5 white

since we are selecting 3 object at once

1) probability that one is black, one is red and the remaining one is white.

1) probability one is black, one is red and the remaining one is white. is 0.035 or 3,5%

ii) exactly two are red.

lets assume x is any ball

then p(x) is the probability of ge any ball = 1

the probability of exactly two are red. is 0.1225 or 12,25%

iii)none of them is white.​

the probability that none is white is 0.75 or 75%

Answer:

  3.  7632

  4.  485

Step-by-step explanation:

3. The only prime digit greater than 6 is 7, so that is the thousands digit. The only even prime is 2, so that is the ones digit.

In order for the number ending in 2 to be divisible by 4, the tens digit must be odd. The only odd numbers that have a double that is an even digit are 1 and 3. Since all digits must be different, the hundreds digit cannot be 2×1 = 2, but must be 2×3 = 6.

The number is 7632.

__

4. In order for an odd number to be divisible by 5, its ones digit must be 5, not 0. Then the tens digit is 5+3 = 8, and the sum of these two digits is 5+8 = 13. To make the total of digits equal to 17, the hundreds digit must be 17-13 = 4.

The number is 485.

Answer:

9463.53 milliliters

Step-by-step explanation:

Answer:

9,462.5 option c

Step-by-step explanation: I did this and got 100%

It's important to control for these confounding variables to ensure that the results of the experiment accurately reflect the impact of the independent variables (irrigation and fertilizers) on the dependent variable (growth of Colorado blue spruce trees).

Confounding variables are extraneous variables that can influence the relationship between the independent variable (irrigation and fertilizer) and the dependent variable (growth of Colorado blue spruce trees).

In this experiment, some confounding variables that might be present include:

Soil quality: Soil quality can affect the growth of the Colorado blue spruce trees and may differ between the moist and dry regions.

Climate: Climate, including temperature, humidity, and precipitation, can affect the growth of the trees and may differ between the two regions.

Sun exposure: The amount of sunlight the trees receive can affect their growth and may differ between the two regions.

Pest and disease pressure: The presence of pests and diseases can affect the growth of the trees and may differ between the two regions.

Genetic variability: There may be genetic variability between the Colorado blue spruce trees in the moist and dry regions, which could affect their growth.

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Answer:

Your answer is about 41

Step-by-step explanation:

From looking at where the dots are placed, I made my line of best fit allowing for me to choose the closest answer, this your answer is B

Hope this Helps, Have a Splendid Day, And Your Welcome!!!

Answer:

Volume of cylinder V= bh= 78 cm^3, where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3

Thanks!

Mark me brainliest!

Answer:

Volume (cone) = 26 cm³

Step-by-step explanation:

Given :-

Volume (cylinder) = 78 cm³

To Find :-

Volume (cone) with same height and radius

Solving :-

Find the equation for the volume of the cylinder.

πr²h = 78 cm³

But we know the volume of a cone is 1/3 of the volume of a cylinder.

=> Volume (cone) = 1/3 x 78

=> Volume (cone) = 26 cm³

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8

To answer the question, we must use the rules of arithmetic in mathematical operations

Mathematical operations are operation which include

In arithmetic, we follow the rule PEMDAS where

So, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.

So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2

= 12 ÷ 3 + 2

= 6 + 2

= 8

So,  1/2 × (6 × 4) ÷ 3 + 2 = 8

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Answer:

Susie is 12 years old and Angela is 15 years old.

Step-by-step explanation:

Since Becca is 10 years old, and she's 2 years younger to Susie, then to find Susie's age, we just add 2 to Becca's age. So, 10 + 2 = 12. Susie is 12 years old. Angela is 3 years older than Susie. If Susie is 12, then 12 + 3 = 15. Angela is 15 years old :)

Answer:

Brainliest plss

Step-by-step explanation:

Susie would be 12 and angela would be 15

Answer:

1/25

Step-by-step explanation:

days in a week is 7

odds of being born on each 7 days is equal

x born = 7 days

pr(one separate baby) = 1 ÷ 5

pr(second separate baby) = 1 ÷ 5

pr(both being born on a school day) = 1/5 × 1/5

= 1/25

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

The answers are,

A) The median is 18.

B) The mean is 2.25.

C) The data set is not symmetrical because it is skewed left.

What is median and mean of data set?

The measure of central tendency that is most frequently used is the mean. The average of the specified set of data is what it actually reflects. Both continuous and discrete data types can use it. It is determined by dividing the total number of values in the data collection by the total sum of all the values.

In most cases, the median shows the midpoint of the supplied set of data when it is presented in a specific order.

Here the given data set is 48,16,8,6,37,20.

To find median , we need  rearrange then into ascending order then,

=> 6,8,16,20,37,48.

Here mid point of the data set is 16 and 20. Then,

=> \(\frac{16+20}{2}\)

=> \(\frac{36}{2}\)

=> 18.

Now to find mean of the data set we need to add all data and divide them by number of data, Then

=> \(\frac{48+16+8+6+37+20}{6}\)

=> \(\frac{135}{6}\)

=> 2.25

Now the data set is not symmetrical because it is skewed left.

Hence the answers are,

A) The median is 18.

B) The mean is 2.25.

C) The data set is not symmetrical because it is skewed left.

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The probability that a defective component will be detected only by the first inspector is 0.19

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

The probability that all three defective components in a batch escape detection by both inspectors is 0.

It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.

Therefore P(A)=P(B)=81%=0.81

At least one inspector does not detect a defect on 38% of all defective components.

Therefore, bar P(A∩B)=0.38

As we know:

bar P(A∩B)=1-P(A∩B)=0.38

P(A∩B)=1-0.38=0.62

A defective component will be detected only by the first inspector.

P(A∩barB)=P(A)-P(A∩B)

=0.81-0.62

P(A∩barB)=0.19

The probability that a defective component will be detected only by the first inspector is 0.19

Part (B) A defective component will be detected by exactly one of the two inspectors.

This can be written as: P(A∩barB)+P(barA∩B)

As we know:

P(barA∩B)=P(B)-P(A∩B) and P(A∩bar B)=P(A)-P(A∩B)

Substitute the respective values we get:

P(A∩ barB)+P(bar A∩B)=P(A)+P(B)-2P(A∩B)

=0.81+0.81-2(0.62)

=1.62-1.24

P(A∩ barB)+P(bar A∩B)=0.38

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

Part (C) All three defective components in a batch escape detection by both inspectors

This can be written as: P(bar A∪ bar B)-P(bar A∩B)-P(A∩ barB)

As we know bar P(A∩B)=P(bar A∪ bar B)=0.38

From part (B): P(bar A∩B)+P(A∩bar B)=0.38

This can be written as:

P(bar A∪ bar B)-P(bar A∩B)-P(A∩bar B)=0.38-0.38=0

The probability that all three defective components in a batch escape detection by both inspectors is 0

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The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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I'm not to sure because neither of these makes sense

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr                   [divide both sides by π to cancel out]

36=2r                        [divide both sides by 2]

r=18 cm

Answer:

18cm

Step-by-step explanation:

because i found it lol

Answer: 8.24%

Step-by-step explanation:

To calculate the annual percentage rate (APR) and the effective annual rate of interest on Aruna's investment, we need to know the following information:

The initial investment amount (Rs 150,000)

The final investment amount (Rs 168,925)

The time period of the investment (18 months)

The frequency of interest payments (every 3 months)

The interest earned on the investment is the difference between the final investment amount and the initial investment amount. In this case, the interest earned is:

Rs 168,925 - Rs 150,000 = Rs 18,925.

Calculate the interest rate per period: To find the interest rate per period, divide the interest earned by the initial investment amount and multiply by the number of periods per year. In this case, the interest rate per period is:

(Rs 18,925 / Rs 150,000) * (4 periods per year) = 0.08%.

Calculate the APR: The APR is the interest rate per period multiplied by the number of periods in the investment. In this case, the APR is:

0.08% * 18 months = 8%.

The effective annual rate of interest takes into account the compounding of interest over time. To calculate the effective annual rate of interest, we use the formula:

(1 + r/n)^n - 1, where r is the interest rate per period and n is the number of compounding periods per year.

In this case, the effective annual rate of interest is:

(1 + 0.08%/4)^4 - 1 = 8.24%.

So the annual percentage rate (APR) is 8% and the effective annual rate of interest is 8.24%

The price the agent sold the scooter is RS 162,900

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

Commission = 10% of selling price

Commission = RS 16,290

The above means that

Commission = 10% * selling price

Substitute the known values in the above equation, so, we have the following representation

16,290 = 10% * selling price

So, we have

selling price = 16,290 * 10

Evaluate

selling price = 162,900

Hence, the selling price is RS162,900

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Answer:

0.0082 = 0.82% probability that the mean battery life would be greater than 523.8 minutes

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, 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 \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

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

Standard deviation of 86 minutes with a mean life of 505 minutes.

This means that \(\sigma = 86, \mu = 505\)

Sample of 120:

This means that \(n = 120, s = \frac{86}{\sqrt{120}}\)

What is the probability that the mean battery life would be greater than 523.8 minutes?

This is 1 subtracted by the p-value of Z when X = 523.8. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{523.8 - 505}{\frac{86}{\sqrt{120}}}\)

\(Z = 2.39\)

\(Z = 2.39\) has a p-value of 0.9918.

1 - 0.9918 = 0.0082

0.0082 = 0.82% probability that the mean battery life would be greater than 523.8 minutes

The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Answer:

The solution, as an ordered pair, is (4, 2).

Step-by-step explanation:

2x + 2y = 12

6x - 2y = 20     Adding the 2 equations will eliminate y:

8x + 2y + (-2y) = 32

8x = 32

x = 4.

Substitute x = 4 in the first equation:

2(4) + 2y = 12

2y = 12 - 8

2y = 4

y = 2.

Answer:

y=-\(\frac{5}{3}\)x-4

Step-by-step explanation:

find the slope m = \(\frac{y2-y1}{x2-x1}\)

m=\(\frac{1-6}{-3+6}\)

m=-\(\frac{5}{3}\)

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-\(\frac{5}{3}\)(-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-\(\frac{5}{3}\)x-4

Answer:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).

Domain: 8, 9, 10, 11

Range: -7, 7

A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.

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Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

To find the maximum number of bags that Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192.

Prime factorizing the three numbers:

120 = 2^3 x 3 x 5

168 = 2^3 x 3 x 7

192 = 2^6 x 3

The GCD is the product of the common prime factors with the lowest exponents, which is 2^3 x 3 = 24.

So, Thomas can pack the items into 24 bags, each containing an equal number of whistles, yo-yos, and tops.

Answer:

Step-by-step explanation:

To find the maximum number of bags that Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192.

We can start by finding the prime factorization of each number:

120 = 2^3 × 3 × 5

168 = 2^3 × 3 × 7

192 = 2^6 × 3

Then we can find the GCD by taking the product of the smallest power of each common prime factor:

GCD = 2^3 × 3 = 24

Therefore, Thomas can pack a maximum of 24 bags.

According to the information given in the exercise, you need to use a 30 day month and her average monthly electricity usage is:

Therefore, in order to calcualte her average daily usage, you need to divide her average monthly electricity usage by 30:

Knowing that there are 12 months in 1 year, you can find her annual electricity usage as following:

The answer is:

Answer: 21

Step-by-step explanation:

arc AC = 2b

3x + 9 = 2(3x - 1.5)

3x + 9 = 6x - 3

solve for x

6x - 3x = 9 + 3

3x = 12

x = 4

substitute in the 2 equations

3 (4) - 1.5 = 10.5

which means that if we substitute in the second equation we should get 21

3(4) + 9 = 21

so arc AC= 21 degrees