True or false: Removing the parenthesis from will change the result.

Answer:

angle 1 is 99

angle 2 is 81

Step-by-step explanation:

3x+x+48=180

4x+48=180

4x=132

x=33

Answer:

The factors of a number are all of the numbers that will divide into that number with no remainder. The prime factors of a number are the prime numbers that must be multiplied together to give the number. For example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.

Answer:

Step-by-step explanation:

andi +10 = charley

and in 4 years

2*andi = charley +4

so

2*andi -4 = charley

now since we have  charley as the indepentdent on each equation

set those parts equal to each other

andi + 10 = 2*andi -4

and + 14 = 2*andi

14 = andi

so andi is 14

charley is 24  

Answer:

1.3859

Step-by-step explanation:

The formula for Margin of Error is given as:

Margin of Error = Critical value × Standard Error

Critical value = z score

In the question, we are given a confidence interval of 95%.

Z score for a 95% confidence level is given as: 1.96

Hence, critical value = 1.96

Standard Error = σ / √n

Where n = number of samples = 98 chicken eggs

σ = Standard deviation = 7 milligrams

Standard Error = 7/√98

Standard Error = 0.7071067812

Hence, Margin of Error = Critical value × Standard Error

Margin of Error = 1.96 × 0.7071067812

Margin of Error = 1.3859292911

Therefore, the margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is approximately 1.3859

The answer is Option (C) -4.

The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

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Answer:

Answer is 32 cm is length of PQ

Step-by-step explanation:

Answer:

The answer to each one is 1) 63,100,000,000

2) 2,000,000,000

3) 5,700,000,000

You can use the Law Of Sins:

a / sin A

b / sin B

c / sin C

(hope this helps, really sorry if i doesnt :/ )

Answer: 10

Step-by-step explanation:

On solving the given system of equations, we found the values of the variables x and y as 4 and 3 respectively.

What is meant by the system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system. A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.

The given system of equations is:

2x + 2y = 14

4x - 2y = 10

To solve this, we have to first get rid of one variable.

Here the coefficient of variable y is the same.

So adding the equations, we get

6x = 24

x = 4

Now substituting this value of x in any one of the equations we get y.

2*4 + 2y = 14

8 + 2y = 14

2y= 6

y = 3

Therefore on solving the given system of equations, we found the values of the variables x and y as 4 and 3 respectively.

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The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

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

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer:

No

Step-by-step explanation:

The wall straight up is one of the legs of the triangle.  That makes the hypotenuse the ladder which is 50 feet.  The hypotenuse needs to be the longest side, but the height of the wall is the longest, so the ladder will not reach the top.

Use the point-slope formula.

The tangent line passes through the same point as the curve, (1, 4).

From part(2), you know its slope is 2.

Then the equation of the tangent is

\(y - 4 = 2 (x - 1) \implies \boxed{y = 2x + 2}\)

Answer:

Step-by-step explanation:

After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following formula to calculate the point P

Replacing:

Answer:

The formula for calculating the circumference of a circle is 2*pi*r. Because pi does not have an end, we'll use 3.14, since that is the approximate value of pi.

2*6*3.14 = 37.68

The outer rim of the pool is about 37.68 meters long

Step-by-step explanation:

It’s probably 40 because it says about how long not exactly.

I hope this helped

Answer:

40m

Detailed explanation of answer:

Finding the length of the outer rim can be determined using the circumference of a circle formula. Since the rim is circular.

Therefore:

length of outer rim= 2πr

where its r is slightly larger than the radius of the pool

= 2 X ²²/7x 6

= 37.714metres

which is approximately 40m

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

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

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

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

By the Central Limit Theorem:

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

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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A 95% confidence that the true proportion of adults who regularly snore is between 0.682 and 0.818.

What is random sample ?

A random sample is a subset of a larger population that is chosen in such a way that every member of the population has an equal chance of being selected. In other words, a random sample is a sample that is chosen at random from the population, without any bias or preference for certain members of the population.

Random sampling is an important technique used in statistics and other fields that deal with large populations. By taking a random sample of the population, statisticians can make inferences about the entire population with a high degree of confidence, without having to survey or study every individual in the population. This is because a random sample is more likely to be representative of the population as a whole, and therefore the statistics derived from the sample are more likely to accurately reflect the characteristics of the population.

According to the question:
To calculate the 95% confidence interval for the proportion of adults who regularly snore, we can use the formula:

\(CI = p \± z\sqrt{p(1-p)/n}\)

where:

CI is the confidence interval

p is the sample proportion (in this case, 0.75 or 75%)

z is the critical value from the standard normal distribution for the desired level of confidence (in this case, 95%, which corresponds to a z-value of 1.96)

n is the sample size (250 adults in this case)

Substituting the given values, we get:

p = 0.75

z = 1.96

n = 250

Plugging these values into the formula, we get:

\(CI = 0.75 \± 1.96\sqrt{0.75(1-0.75)/250}\)

Simplifying and solving for the upper and lower bounds of the confidence interval, we get:

CI = 0.75 ± 0.068

CI = (0.682, 0.818)

Therefore, we can say with 95% confidence that the true proportion of adults who regularly snore is between 0.682 and 0.818.

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Answer:

Yes it is.

Step-by-step explanation:

If you distribute you will get the same answer, 3x-18 because 3 times x is 3x and 3 times 6 is 18.

Hope this helps!!

The intervals of each behavior of the function are given as follows:

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Answer:

To evaluate the function f(x) = (1/2)x + 3 for f(4), we substitute x = 4 into the function:

f(4) = (1/2)(4) + 3

= 2 + 3

= 5

Therefore, the correct answer is a. 5.

Answer:

A

Step-by-step explanation:

to evaluate f(4) substitute x = 4 into f(x)

f(x) = \(\frac{1}{2}\) x + 3 ← substitute x = 4

f(4) = \(\frac{1}{2}\) (4) + 3 = 2 + 3 = 5

Polygon JKLM is drawn with vertices J(−2, −5), K(−4, 0), L(−1, 2), M (0, −1). Determine the image coordinates of K′ if the preimage is translated 6 units up then the correct option is J′(-4, 6).

To translate the preimage 6 units up, we need to add 6 to the y-coordinate of each vertex of the polygon. Thus, the image of polygon JKLM after the translation will have vertices J′(−2, 1), K′(−4, 6), L′(−1, 8), M′(0, 5). Therefore, the image coordinates of J′ are (-4, 6).

Polygons are usually represented by the coordinates of their vertices. A polygon might have quite a few vertices and quite a few edges. The coordinates of the vertices are commonly represented using WGS84 scope and longitude pairs.

By and large, when a shape is characterized inside of a coordinate plane, it is characterized by the vertices, and afterward, the lines are attracted to interface them. A polygon is any shape comprised of rectilineal, or straight, lines. The smallest polygon is a triangle, which has three sides. A five-sided figure is a pentagon

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Answer:

J′(-4, 6).

Step-by-step explanation:

Therefore, we can see that 10 kilometers is greater than 9 miles (10 km > 14.48 km), and so the comparison "10 kilometers < 9 miles" is false.

A kilometer (km) is a unit of measurement for length, commonly used in the metric system. It is equal to 1000 meters or approximately 0.62 miles. Kilometers are often used to measure longer distances, such as the distance between two cities or countries.

by the question.

To explain this, we can convert kilometers to miles or miles to kilometers to compare them in the same unit.

1 mile is approximately equal to 1.61 kilometers. So, 9 miles would be approximately equal to 14.48 kilometers.

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Answer:

Total distance traveled= 21h miles

Step-by-step explanation:

You biked at 10 mph for h hours

Speed= 10 mpg

Time = h hours

Distance covered= speed*time

Distance covered= 10h miles

walked at 3mph for twice as long as I biked,

Speed= 3 mph

Time= twice as long as biked

Time= 2(h) hours

Distance= 2h*3

Distance= 6h miles

ran at 10mph for one quarter as long as I walked

Speed= 10 mph

Time= 1/4 of(2h)

Time= 1/2h hours

Distance= 1/2h*10

Distance= 5h miles

Total distance traveled

= 10h miles +6h miles+ 5h miles

Total distance traveled= 21h miles

Answer:

Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.

Step-by-step explanation:

Answer:

69.53 or 70(depending on rounding)

Step-by-step explanation:

The squares area is (9*2)^2 which is 324.

The circles area is 9^2 pi or 254.47 approx.

Subtract and you get 69.53 or 70

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The sum of 106 and h can be written as an expression in the following way:   106 + h

This expression represents the sum of the two numbers, 106 and h. We can simplify this expression by combining like terms, but since h is a variable and 106 is a constant, we cannot combine them. Therefore, the expression remains as 106 + h.

In conclusion, the sum of 106 and h is represented by the expression 106 + h.

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