A 12 pack of soda is roughly $2.52. What is the cost per one can of soda?

Answer:

v- Both (iii) and (iv) are correct

Step-by-step explanation:

Answer:

Air? Their breath?

Answer:their breath (air)

Step-by-step explanation:

Answer:

Matias divided 7.6 by 10 raised to the power of -2.

Step-by-step explanation:

Given : Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left.

To find : Matias divided 7.6 by 10 raised to the power of ?

Solution :

Matias preformed an operation with 7.6 and a number.

He ended up moving the decimal point in 7.6 two places to the left we have to multiply it with 0.01

i.e. [tex]7.6\times 0.01=\frac{7.6}{100}=0.076[/tex]

So, Matias divided 7.6 by 10 raised to the power of -2.

Answer:

Step-by-step explanation:

According to the central limit theorem, a distribution is said to be normal if the sample size is sufficiently large (usually n > 30) notwithstanding whether the source population is normal or skewed. But for a population that is normally distributed the theorem still holds true. for samples smaller than 30.

The shape of the sampling distribution changes with a sample size. For a large sample size, the sampling distribution starts to approximate a normal distribution.

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet...

Step-by-step explanation:

Step-by-step explanation:

Hello there!

Solve for x:

-3x(x-8)-7x=12

-3x^2+24x-7x=12

-3x^2+17x+12=0

Can you factor it further?Feel free to ask questions in the comments.

:)

Answer:

Option A) [tex](2,\sqrt{21})[/tex]

Step-by-step explanation:

The following information is missing in the question:

A. [tex](2,\sqrt{21})[/tex]

B. [tex](2,\sqrt{23})[/tex]

C. (2, 1)

D. (2, 3)

We are given the following in the question:

A circle centered at origin and radius 5 units.

We have to find the equation of a point that lies on the circle.

Let (x,y) lie on the circle.

Distance formula:

[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Putting

[tex](x_2,y_2) = (x,y)\\(x_1.y_1) = (0,0)\\d = 5[/tex]

We get,

[tex]5 = \sqrt{(y-0)^2 + (x-0)^2}\\\sqrt{x^2+y^2}=5\\x^2+y^2 = 25[/tex]

is the required equation of point on the circle centered at the origin with a radius of 5 units.

The point [tex](2,\sqrt{21})[/tex] satisfies the given equation.

Verification:

[tex](2)^2 + (\sqrt{21})^2\\=4 + 21\\=25[/tex]

Thus, [tex](2,\sqrt{21})[/tex] lies on the circle centered at the origin with a radius of 5 units.

Answer:

A. (2,\sqrt{21})

Step-by-step explanation:

Answer:

m and n a

Step-by-step explanation:

lines m and n are parallel .

The measure of ∠AFB is -35 degrees.

To find the measure of ∠AFB, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since we are given the measures of ∠AFC (120°) and ∠BFC (95°), we can find the measure of ∠AFB by subtracting the sum of these two angles from 180 degrees:

∠AFB = 180° - (120° + 95°) = 180° - 215° = -35°

Therefore, the measure of ∠AFB is -35 degrees.

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Answer:

1. [tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]

2. [tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]

3. [tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]

4. [tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]

Step-by-step explanation:

Recall that

[tex](\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})[/tex]

Where [tex]x^{m}[/tex] is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

n is 5

m is 3

x = (m + 2)

[tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]

2. Root(3, (m + 2) ^ 5)

In this case,

n is 3

m is 5

x = (m + 2)

[tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]

3. Root(5, m ^ 3) + 2

In this case,

n is 5

m is 3

x = m

[tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]

4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

[tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]

Answer:

0 < p < 0.075

Step-by-step explanation:

Solution:-

According to the rule of three, when we have a sample size = n.

and x = 0 successes ( The lowest possible value of true population proportion ). Then we are 95% confident that the upper bound of the true population proportion is given by:

                                      3 / n

If n = 40 couples use a method of gender selection and each couple has a baby​ girl, the the possibility of successes is zero. This calls on for the use of Rule of three to determine the upper bound for the true population of couple having a baby girl.

- The 95 % upper bound for true population proportion of all the babies born are girl is determined by:

                                   p = 3 / n = 3 / 40

                                   p ≈ 0.075

- The number of successes were = 0, hence the lower bound for the population proportion is 0 and the upper bound was calculated above. Hence,

                                  0 < p < 0.075

- The range of true population proportion.

the proportion of all babies who are​ boys is 0 < p < 0.075

Here we know that the 95% confident that the upper bound of the true population proportion is provided by 3 by n

Since n be 40 couples

So, here the proportion should be

[tex]p = 3 \div n = 3 \div 40[/tex]

p ≈ 0.075

And, The number of successes were = 0

So, the proportion should be 0 < p < 0.075

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Answer:

96

Step-by-step explanation:

160% is the same as taking the number times 1.6

1.6 x 60 = 96

Answer:

z= -2

it is what it isssssss

Answer:

billy

Step-by-step explanation:

its billy's mother. he/she is one of the children

Answer:

The projected world population in 1998 is 6,216,871,541.95

Step-by-step explanation:

Here we have the formula for exponential growth given by

A = P(1 + r)^t

Where:

A = Population at the end of the time period

P = Population at the start of the time period

r = Rate percent of population growth

t = Time period of interest

Therefore, given r = 2% = 2/100 = 0.02, P = 5,000,000,000;

t = year 1998 - year 1987 = 11 years

We have

A = 5,000,000,000 ×[tex](1+0.02)^{11}[/tex]= 6,216,871,541.95

≈ 6.2 billion.

To find the projected world population in 1998, we can use the exponential growth model. The initial population in 1987 was 5 billion with a growth rate of 2% per year. By applying the formula, the projected population in 1998 is estimated to be approximately 6.255 billion.

To find the projected world population in 1998, we can use the exponential growth model. The formula for exponential growth is P = P0 * (1 + r)t, where P is the final population, P0 is the initial population, r is the growth rate, and t is the number of years.

In this case, the initial population (P0) in 1987 was 5 billion, the growth rate (r) was 2 percent per year, and we want to find the population in 1998, which is 11 years later.

Using the formula, we can calculate the projected population in 1998 as follows:

Therefore, the projected world population in 1998 would be approximately 6.255 billion.

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Answer:

[tex]\frac{70}{sin40^{\circ}}[/tex]

Step-by-step explanation:

We are given that

Height of the kite from the ground=h=70 feet

[tex]\theta=40^{\circ}[/tex]

We have to find the length of kite string in term of trigonometric ratios.

Let length of string=x

We know that

[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin40^{\circ}=\frac{h}{x}[/tex]

[tex]sin40^{\circ}=\frac{70}{x}[/tex]

[tex]x=\frac{70}{sin40^{\circ}}[/tex]

Hence, the length of kite string=[tex]\frac{70}{sin40^{\circ}}[/tex]

The solution is, A) f(x) and g(x) have the same domain and the same range.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

First of all, A function f from a set A to a set B is a relation that assigns to each element  in the set  exactly one element in the set [/tex]B[/tex]. The set  is the domain (or set of inputs) of the function and the set  contains the range (or set of outputs).

First.

f(x) = -7x

The graph of this equation is shown in Figure 1. As you can see this is a straight line with negative slope and does not intersect the y-axis.

So the statement that best describes this problem is:

Both the domain and the range is the set of all real numbers.

Second

g(x) = 7x

The graph of this equation is shown in Figure 2.This is also a straight line but it has positive slope. This one does not intersect the y-axis either.

Both the domain and the range is the set of all real numbers.

Hence, The solution is, A) f(x) and g(x) have the same domain and the same range.

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Answer:18472.6

use pie cylinder formula

Multiply the volume of the tub by 0.75 to find the volume of the water.

Step-by-step explanation:

To calculate the volume of water in the tub, you first find the radius of the cylinder, calculate the total volume, and then find 75% of that volume, finally converting the units if necessary and rounding to the nearest tenth, we get volume od water to be approximately 18451.2 cubic inches

To find the volume of water in the tub when it's 75% filled, we first need to find the volume of the entire tub and then multiply it by 75%.

The volume \ V  of a cylinder is given by the formula:

[tex]\[ V = \pi r^2 h \][/tex]

where:

-  r  is the radius of the cylinder,

-  h  is the height of the cylinder.

Given:

- Diameter  d = 28 inches, so radius [tex]\( r = \frac{d}{2} = \frac{28}{2} = 14 \)[/tex] inches,

- Height  h = 40 inches.

Substituting these values into the formula:

[tex]\[ V = \pi \times (14)^2 \times 40 \]\[ V = \pi \times 196 \times 40 \]\[ V = 7840\pi \, \text{cubic inches} \][/tex]

Now, to find the volume when the tub is 75% filled, we multiply the volume of the entire tub by 75% (or 0.75):

[tex]\[ \text{Volume of water} = 0.75 \times 7840\pi \, \text{cubic inches} \]\[ \text{Volume of water} = 5880\pi \, \text{cubic inches} \][/tex]

Now, let's compute the value:

[tex]\[ \text{Volume of water} \approx 5880 \times 3.14 \, \text{cubic inches} \]\[ \text{Volume of water} \approx 18451.2 \, \text{cubic inches} \][/tex]

Answer:

given mass is 52.45g

given volume is 5cm³

from the formula

density=mass/vol

=52.45g÷5cm³

=10.49g/cm³

Answer:

The time it takes them to grade the essays if they work together is 1.857 hours

Step-by-step explanation:

The formula for “Work” Problems that involve two persons is

[tex]\frac{1}{t1} + \frac{1}{t2} =\frac{1}{tb}[/tex]

<=> [tex]\frac{1}{3} + \frac{1}{5} =\frac{1}{tb}[/tex]

<=> [tex]\frac{1}{tb} = \frac{8}{15}[/tex]

<=> tb = [tex]\frac{15}{8} = 1.875 hours[/tex]

The time it takes them to grade the essays if they work together is 1.857 hours

Answer:

24

Step-by-step explanation:

Answer:

24 points

Step-by-step explanation:

To calculate how many pounds of a chemical a container can hold, you multiply the container's volume by the weight of the chemical per cubic foot. In the example given with a container measuring 4 ft x 3 ft x 2 ft, which has a volume of 24 cubic feet, the container would hold 1920 pounds of a chemical that weighs 80 pounds per cubic foot.

To answer your question on how many pounds of the chemical a container can hold, we need to calculate the volume of the container first and then use the provided density to find the weight of the chemical that fits in that volume. Unfortunately, the dimensions of the container are not provided in your question, so I'll give you an example of how to do this calculation instead.

Let's assume that the container is a box with the following dimensions: length (L) = 4 feet, width (W) = 3 feet, and height (H) = 2 feet. To find the volume (V) of the container, you multiply these dimensions:

V = L x W x H
V = 4 ft x 3 ft x 2 ft
V = 24 cubic feet

Now, to find out how much chemical can fit inside this volume, we use the fact that one cubic foot of the chemical weighs 80 pounds:

Weight of chemical in container = Volume of container x Weight per cubic foot
Weight of chemical in container = 24 cubic feet x 80 pounds/cubic foot
Weight of chemical in container = 1920 pounds

So, if the container had these assumed dimensions, it could hold 1920 pounds of the chemical.

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula to calculate the volume of the cone is π/4(1/3 x 4r²h).

The correct option is D.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

Given:

In the derivation of the formula for the volume of a cone,

the volume of the cone is calculated to be π/4 times the volume of the pyramid that it fits inside.

The volume of the cone,

= π/4 (the volume of the pyramid)

= π/4 (1/3 x the base area x height)

= π/4(1/3 x 2r x 2r x h)

= π/4(1/3 x 4r²h)

Therefore, the volume is π/4(1/3 x 4r²h) cubic units.

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The complete question is given in the attached image.

Answer:

Step-by-step explanation:

Final answer:

The given statement exemplifies empirical probability because it is derived from the results of a survey, which is a real-life observation.

Explanation:

The statement 'According to a survey, the probability that an adult chosen at random is in favor of police body cameras is about 0.39' is an example of empirical probability.

Empirical probabilities are calculated from real-life observations or experiments. In this case, a survey is conducted, and the probability is calculated by dividing the number of adults in favor of police body cameras by the total number of adults surveyed. Since this probability comes from actual data collected from a population, it is empirical, as opposed to theoretical probability which is based on known mathematical principles or subjective probability which is based on personal judgment or opinion.

The statement is an example of empirical probability because it is based on data from a survey, reflecting observed frequencies in favor of police body cameras.

The given statement is an example of empirical probability. Empirical probability is based on observed data or past experiences.

In this case, the probability is determined through a survey, which involves collecting and analyzing data from a sample of adults.

The observed frequency of adults in favor of police body cameras is used to estimate the probability, making it empirical.

Answer:

To find the line parallel to the line y = -2/3x + 1 and passing through the point (-6, -1), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.

Since we are given the slope, we need to find the y-intercept of the line. We can find the y-intercept by substituting the point (-6, -1) into a new equation with the slope of m = -2/3. Remember that slope-intercept form is y = mx + b.

y = -2/3x + b (substitute the ordered pair)

-1 = -2/3(-6) + b

-1 = 4 + b (subtract 4 from both sides)

-5 = b

Therefore, the equation of the line passing through the point (-6, -1) and parallel to y = -2/3x + 1 is y = -2/3x - 5.

Step-by-step explanation:

I NEED THE ANSWER ASAP!! I WILL MARK BRAINLIEST!!

write a linear equation with the given information passing through

Answer:

168

Step-by-step explanation:

Total entree = 6

Total slides = 4

Total drinks = 7

Lunch special includes 1 entree, 1 slide, and one drink.

Option for entree

= 6_(c_1 )

= 6

Option for slides

= 4_(c_1 )

= 4

Option for drinks

= 7_(c_1 )

= 7

So, total option ordering meal,

= 6*4*7

= 168

Answer:

No, you should not approximate using the normal distribution because your sample size is too small.

Step-by-step explanation:

You can use the normal distribution in the following cases:

Based on the rule of thumb, I would collect at least 7 more answers before using the normal distribution.

Because the sample size is too tiny, one should not use the normal distribution for approximation.

Given that,
In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 citizens and ask each if he or she thinks the community needs a police substation.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The sample size should be greater than 25, and the sample size should originate from a regularly distributed population. As the sample size of the distribution is to small normal distribution cannot be used.

Thus, Because the sample size is too tiny, one should not use the normal distribution for approximation.

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Answer:

The correct option is;

a. F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex]

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line [tex]\overline{AA'}[/tex] as the  dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex].

Answer:

A

Step-by-step explanation: i got it right on edge