Find the area of the circle. Round your answer to the nearest hundredth.
00
3 in.

The probability that both pencils drawn from the pencil holder are blue is 5/12.

Probability is used to calculate the odds that an event would occur. The probability that the event would occur lies between 0 and 1.

The probability that both are blue = (number of blue pencils / total number of pencils) x (number of blue pencils / total number of pencils - 1)

6/9 x 5/8 = 5/12

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Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The average temperature of the City of Van Nuys is 23 degrees. The z score is

[tex]z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25[/tex]

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

Answer:

5 : 3

Step-by-step explanation:

Water: 2.5 cups

Milk: 1.5 cups

Water/Milk: 2.5/1.5 = 5/2 / 3/2 = 5/2 * 2/3 = 5/3

Hope this helps :)

The ratio of water to milk in the waffles will be 5 : 3.

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given is that waffles are made with 2 1/2 cups water and 1 1/2 cups milk.

We can write the given mixed fractions as proper fractions -

2[tex]\frac{1}{2}[/tex] = 5/2 = W

1[tex]\frac{1}{2}[/tex] = 3/2 = M

Now, we can write the ratio of water to milk as -

[W]/[M] = (5/2)/(3/2) = 5/2 x 2/3 = 5/3

Therefore, the ratio of water to milk in the waffles will be 5 : 3.

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Answer:

C. 60 dL = 6000 mL

60 x 100 = 6000

Step-by-step explanation:

Formula: multiply the value by 100

Final answer:

The statement that is true is D, which correctly states that 60 hectoliters are equal to 60000 liters, as 1 hectoliter equals 1000 liters.

Explanation:

The student has asked which statement is true regarding the comparison of different units of volume measurement. Only one of the statements given represents an accurate conversion:

Answer D

60 hectoliters (hL) equals 60000 liters (L). This is true because 1 hectoliter is equivalent to 1000 liters. Hence, if we have 60 hectoliters, we multiply 60 by 1000 to find the conversion in liters:

60 hL * 1000 L/hL = 60000 L

Therefore, statement D is correct.

Answer:

-2 is the answer

Step-by-step explanation:

the x-axis is the horizontal line, while the y-axis is the vertical line. and the point is -2

Answer:

-2

Step-by-step explanation:

The y-intercept is where the line crosses the y axis.

Answer:

21

Step-by-step explanation:

g(6)=3(6)+3

g(6)=18+3

g(6)=21

The value of g(6) is 12.

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Given:

g(x) = 3x + 3

Now for x=3

g(3)= 3*3+3

=9+3

=12

Hence, the value of function is 12.

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same as V = pi*3^2*14

========================================================

Work Shown:

V = volume of cylinder

V = (area of circular base)*(height)

V = (pi*r^2)*(h)

V = pi*r^2*h

V = pi*3^2*14 ..... radius 3 is half of diameter 6

We write "3^2" as a shorthand way of saying "3 squared" or "(3) squared".

Final answer:

The probability that the first officer chosen is a girl and the second is a boy is 1/4.

Explanation:

To find the probability that the first officer chosen is a girl and the second is a boy, we can use the concept of dependent events.

When the first officer is chosen, there will be 6 girls left out of a total of 9 officers.

Therefore, the probability of selecting a girl as the first officer is 6/9.

After the first officer is chosen, there will be 3 boys left out of 8 officers. So, the probability of selecting a boy as the second officer is 3/8.

Since the events are dependent, we can multiply the probabilities of each event to get the probability of both events happening.

So, the probability of the first officer being a girl and the second officer being a boy is (6/9) * (3/8) = 1/4, which can also be written as 0.25 or 25%.

Step-by-step explanation:

As we know, Scatter plots resembles line graphs in that they are plotted on the x and y axis and the purpose of a scatter plot is to shows if the variables are related to each other. If yes, they can draw a line of best fit which can expose or go through most of the points in the plot.

Given the information in the question, we know:

"they collected information of texting speed according to age"

=> We have 2 variables here which are age and (texting speed)

Step 1:

Step 2: Plot the points according to age and texting speed

Hence, from that plot, it could have two cases in the relation of age and texting speed which are "the more time, more text is written", or "the less time, more text is written".

Answer:

Label axes according to input and output variables. Plot the ordered pair of the independent and dependent variable on the coordinate plane. Identify if there is a relationship between the variables.

Step-by-step explanation:

Answer:

= $ 158.44

Step-by-step explanation:

$ 233 = 100%

100% - 32% = 68% which is the percentage that represents the new price

If 100% = $ 233

What about 68% = $?

= (68 x 233) ÷ 100

= 15844 ÷ 100

= $ 158.44

Answer:

a=9 b=2 c=7 d=9

Step-by-step explanation:

Final answer:

Michael is drawing cards from a deck with replacement. Since all aces are equally likely to be drawn, we can divide the total number of aces drawn by the number of different aces to estimate that the ace of hearts would likely be drawn 78 times out of the 312 instances of drawing an ace.

Explanation:

When Michael draws an ace from a standard deck of 52 cards, there are 4 aces available (one from each suit: clubs, diamonds, hearts, and spades). If Michael is drawing a card, recording it, and returning it to the deck (which means each draw is an independent event with replacement), the probability of drawing any specific ace, such as the ace of hearts, is the same for each draw.

Since Michael draws an ace 312 times and there are 4 equally likely aces he could draw, we can estimate the number of times he would draw the ace of hearts by dividing the total number of aces drawn by the number of different aces:

Number of times drawing the ace of hearts = Total number of aces drawn ÷ Number of different aces = 312 ÷ 4 = 78.

Therefore, a good estimate for the number of times the ace of hearts was drawn is 78 times.

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -2t^{2} + 10t[/tex]

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

[tex]h(0) = -2*0^{2} + 10*0 = 0[/tex]

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Answer:

The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.

Step-by-step explanation:

The two features which are structures found in plant cells but are not present in animal cells are:

There are features that differentiates a plant cell from an animal cell. Two of such features that are unique to plant cells are:

These two plant cell features or structures are absent in an animal cell.

A plant cell and its various organelles/structure is shown in the image attached below.

Therefore, the two features which are structures found in plant cells but are not present in animal cells are:

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The product of the two complex numbers are 35[Cos270 + i Sin(270)].

The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.

The product of the two complex numbers will be done as:-

[tex]z_1z_2=r_1r_2Cos (\theta_1+\theta_2)+iSin(\theta_1+\theta_2)[/tex]

[tex]z_1z_2= 5\times 7[Cos(60+210)+iSin(60+210)][/tex]

[tex]z_1z_2=35[(Cos270)+iSin(270)][/tex]

Therefore the product of the two complex numbers is 35[Cos270 + i Sin(270)].

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Answer:

f + 6

Step-by-step explanation:

The change in temperature is 6 f.

Given,

The temperature was -6 f.

It rose so that the temperature was 0 f.

We need to find what represents the change in temperature.

Initial temperature = -6 f.

Final temperature = 0 f.

Let the change in temperature be M.

Now,

We have,

It rose so that the temperature was 0 f.

So we can write it as,

Initial temperature + M = final temperature

-6 f + M = 0 f

-6 f + M = 0

M = 0 + 6 f

M = 6 f.

Thus we see that the change in temperature is 6 f.

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Final answer:

The student's question appears to involve a play on words or a riddle, but using standard mathematics, the fourth of twenty is calculated by dividing twenty by four, which equals five.

Explanation:

The question appears to be a puzzle rather than a straightforward mathematical problem. Given the statement that 'five times four is thirty-three' is not mathematically correct (since 5 × 4 = 20), it suggests that there's an error or play on words. The most likely solution for 'what will the fourth of twenty be?' using standard mathematics is 5, because normally one would divide twenty by four to get this result. However, if we are following the same logical pattern as in the incorrect statement 'five times four is thirty-three', we might question whether 'the fourth of twenty' should similarly be an unconventional result. Without more context, we stick with the conventional approach.

Answer:

-2

Step-by-step explanation:

add 3 to 11 and then divide 14 by -7

Answer:

d = -2

Step-by-step explanation:

-7d - 3 = 11

-7d = 11 + 3

-7d = 14

d = 14/-7

d = -2

hope it helps!

Answer:

D. y=25

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

You have to substitute x = 5 into the equation of y :

[tex]y = 5x[/tex]

Let x = 5,

[tex]y = 5(5)[/tex]

[tex]y = 25[/tex]

Answer:

54pie cm2 is the correct answer                                              

Final answer:

The volume of the larger cylinder is 36 cm².

Explanation:

To find the volume of the larger cylinder, we need to compare the surface areas of the two cylinders. Let's assume that the surface area and volume of the smaller cylinder are represented by SA1 and V1 respectively, and the surface area and volume of the larger cylinder are represented by SA2 and V2 respectively.

Since the cylinders are similar, their surface areas and volumes are proportional. Therefore, we can set up the following ratio: SA1 / SA2 = V1 / V2. Plugging in the given values, we get: 24 / 54 = 16 / V2. Solving for V2, we find that the volume of the larger cylinder is 36 cm².

Answer:

the answer is 8 units so that all i have to say.

The radius of a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2 is mathematically given as

r=4 units, Option B is correct

Question Parameters:

a circle whose equation is (x + 5)^2 + (y - 3)^2 = 4^2

Generally, the equation for the circle    is mathematically given as

(x + 5)^2 + (y - 3)^2 = 4^2

Therefore, its standard form of a circle equation is

(x-h)^2+(y-k)^2=r^2

In conclusion, Comparing both equations

r^2=4^2

r=4

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Answer:

A

Step-by-step explanation:

So first you need to know the formula for the area of a segment of a circle which is... A = 0.5 × (θ - sinθ) × r²

*make sure that you do this question in RADIANS

You know that θ (the angle) is 90° which is equal to π/2 and the radius is 3, so from here you just plug in numbers to the equation.

A = 0.5 × ( π/2 - sin(π/2)) × 3²

A = 2.5685... sq units = 3 sq units

Answer:

The volume of the box is [tex]8000 in^3[/tex]

Step-by-step explanation:

Since the box is shaped like a cube, the volume of the box is:

[tex]V = L^3[/tex]

where l = length of side of the box

The box is 20 inches long on each side, that means that L = 20 in.

Hence, the volume of the box will be:

[tex]V = 20^3 = 8000 in^3[/tex]

The volume of the box is [tex]8000 in^3[/tex].

To find the volume of a cube-shaped box with sides of 20 inches, you multiply the side lengths together, resulting in a volume of 800TatExplan0 cubic inches.

The question is asking for the volume of a cube-shaped box. To calculate the volume of a cube, we use the formula V = a^3, where 'a' is the length of one side of the cube. In this case, each side of the box is 20 inches long. Therefore, the volume of the box is:

V = 20 inches × 20 inches × 20 inches = 8000 cubic inches.

We have been given that [tex]\text{sin}(A)=\frac{12}{13}[/tex] and angle A is in quadrant 1. We are asked to find the exact value of [tex]\text{cot}(A)[/tex] in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

[tex]\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}[/tex]

Now we will find adjacent side using Pythagoras theorem as:

[tex]\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2[/tex]

[tex]\text{Adjacent}^2=13^2-12^2[/tex]

[tex]\text{Adjacent}^2=169-144[/tex]

[tex]\text{Adjacent}^2=25[/tex]

Let us take positive square root on both sides:

[tex]\sqrt{\text{Adjacent}^2}=\sqrt{25}[/tex]  

[tex]\text{Adjacent}=5[/tex]

Therefore, adjacent side of angle A is 5 units.

[tex]\text{cot}(A)=\frac{5}{12}[/tex]

Therefore, the exact value of cot A is [tex]\frac{5}{12}[/tex].

The exact value of cot(A), where sin(A) is 12/13 and angle A is in Quadrant 1, is 5/12 in simplest radical form with a rational denominator.

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Answer: The length is 9.

Step-by-step explanation: 27/3=9

Answer:

Pediatricians use numbers to calculate the patient's growth, they also use numbers to calculate the amount of liquid in a given shot or vaccine. Children's weight and height are measured in kilograms and centimeters. They also use math to change kilograms to pounds and centimeters to inches.

Step-by-step explanation:

Answer:

Conversions

Medications are prescribed using the metric system and Apothecary's Measure. The former uses grams and milliliters, while the latter is a medieval system using grains, scruples, drams, minims, fluid drams, fluid ounces, pints, quarts and gallons. Because the United States doesn't use the metric system, pediatricians must convert between these systems. Strong algebra skills are crucial, as mistakes in prescriptions can have catastrophic results.

Fractions

Much of a pediatrician's work involves taking accurate measurements. When measuring a patient's heart rate, pediatricians must know to divide the number of heart beats by the amount of time passed. They must know how to interpret blood pressure measurements, which are expressed as fractions. They may have to explain to a patient that body mass index, an important measure of health, is equal to his weight divided by his height squared. Equations

Specialists in pediatrics may require knowledge of more advanced mathematical concepts. Research pediatricians use math to analyze data for useful results. Those who work with complex internal systems, such as the cardiovascular system, use advanced equations and formulas to check on the status of organs. Pediatricians must also be able to communicate mathematical results to patients in language that is easily understood.

Other

Pediatricians regularly check the growth and development of patients. They develop growth charts, measure children's height and weight, and assess their overall development over time. They also use math to calculate how much medicine to administer in shots, measured in cubic centimeters or milliliters.

Answer:

x = -7

Step-by-step explanation:

Simplifying

5x + 130 = 8x + 151

Reorder the terms:

130 + 5x = 8x + 151

Reorder the terms:

130 + 5x = 151 + 8x

Solving

130 + 5x = 151 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

130 + 5x + -8x = 151 + 8x + -8x

Combine like terms: 5x + -8x = -3x

130 + -3x = 151 + 8x + -8x

Combine like terms: 8x + -8x = 0

130 + -3x = 151 + 0

130 + -3x = 151

Add '-130' to each side of the equation.

130 + -130 + -3x = 151 + -130

Combine like terms: 130 + -130 = 0

0 + -3x = 151 + -130

-3x = 151 + -130

Combine like terms: 151 + -130 = 21

-3x = 21

Divide each side by '-3'.

x = -7

Simplifying

x = -7

Answer:

This shows us that there are 1400 readers.

Step-by-step explanation:

To work this out you would first need to find how many times 5% goes into 100%, You can do this by dividing 100 by 5, this gives you 20. This is because the whole amount  is equivalent to 100%.

To work out the total number of readers you would multiply 70 by 20, this gives you 1400. This is because we know that 70 is equivalent to 5% and that 5% goes into 100% 20. So by multiplying 70 by 20 we are working out the total (100%), and that this shows us there are 1400 readers.

1) Divide 100 by 5.

[tex]100/5=20[/tex]

2) Multiply 70 by 20.

[tex]70*20=1400[/tex]

Answer:

Step-by-step explanation:

DE = LK        {given that  length of DE & LK are equal}

EF = JK          {given that length of EF & JK are 8 cm}

DF = LJ        { given}

ΔDEF ≅ ΔLKJ   by   SSS congruent  

Answer:

18pi or 56.52 if you substitute pi with 3.14

Step-by-step explanation:

Answer:

[tex]28.26 {cm}^{2} [/tex]

Step-by-step explanation:

First let's find the radius

[tex]d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ 3 = r[/tex]

Now let's find the area.

[tex]\pi {r}^{2} \\ 3.14 \times 3 \times 3 \\ = 28.26 {cm}^{2} [/tex]

hope this helps

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