What is the measure of

Answer:

x = 40

Step-by-step explanation:

In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:

3x = 120

Divide both sides by 3 to get:

x = 40

Answer:

n=4

Step-by-step explanation:

3n+6 = 54-9n

3n+9n = 54 - 6

12n = 48

n=4

Answer:

4

Step-by-step explanation:

3n+6=54-9n

3n+9n=54-6

12n=48

n=48/12

n=4

Answer:

It’s in between a and b

Step-by-step explanation:

Answer:

i believe the answer is a

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]

Using the formula

The probability of getting odd number disk=[tex]\frac{4}{8}=\frac{1}{2}[/tex]

The probability of getting odd numbered  red disk=[tex]\frac{3}{8}[/tex]

The probability of selecting a red disk,given that an odd numbered disk is selected=[tex]\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}[/tex]

Using conditional probability

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

b. stratified sampling

The plan to determine the percentage of students in a school willing to pay a fee for participating in extracurricular activities is an example of stratified sampling. In stratified sampling, the population is divided into subgroups or 'strata' that share similar characteristics, and a random sample is taken from each stratum. In this case, the classes (freshman, sophomore, junior, and senior) serve as the strata, and thirty students from each class are randomly selected to complete the survey. This approach ensures that each subgroup is adequately represented in the sample, making the results more reflective of the entire school population.

Answer:

21

Step-by-step explanation:

To find the area of a cylinder you mutliply radius by height.

r*h = 162

If we know the height is 7.7, substitute it for h.

r*7.7 = 162.

Or:

162 / 7.7

Which gives you 21.03, or 21.

Answer:

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Step-by-step explanation:

A survey is being conducted to determine how a city's residents feel about building a new youth center.

They are considering to survey 50 random children at a local elementary school.

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Moreover, it is likely that the students of elementary school might not even have any interest in youth center so results would be biased.

Therefore, it is suggested to include a variety of samples that is surveying different age groups that covers all of the community.

Answer:

1. The survey is only considering elementary school students, but not children in middle school or high school.

2. The survey is also not considering any adult at all. Most likely they represent the majority of the local residents.

3. Finally, it's important to understand in advance what would be the main differences with the current youth center and include those specific questions in the survey. It's important to determine if the new youth center will fill the gap.

Step-by-step explanation:

Answer:

NM would actually represent a chord. Tangent are lines that would be outside of the circle.

Answer:

B) chord

Step-by-step explanation:

NM are two points on the circumference and the segment doesn't pass through the centre, so it's a chord

The correct answer is:

£498.53

Answer:

d. 5/4

Step-by-step explanation:

The secant of an angle with a terminal ray through the point (4, -3) is the distance to the origin divided by the x-coordinate, or

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

Answer:

d. 5/4

Step-by-step explanation:

(4,-3) is in quadrant 4

cos/sec is positive in this quadrant

Hypotenuse = sqrt(3² + 4²)

sqrt(25)

5

cos(theta) = 4/5

sec(theta) = 5/4

Answer:

3

Step-by-step explanation:

[tex]y=\frac{2}{3}x +1[/tex]

If [tex]x[/tex] is 3, then

[tex]y =\frac{2}{3}(3) +1[/tex]

[tex]y=2+1[/tex]

[tex]y=3[/tex]

Both [tex]x[/tex] and [tex]y[/tex] equal 3. So, the value of [tex]x[/tex] must be 3 for the function to have the same coordinate for [tex]x[/tex] and [tex]y[/tex].

Answer:

a) $4635

b) $1545

c) $29.7 per week

Step-by-step explanation:

Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.

a) How much does the employer pay annually

b) How much does she pay annually

c) How much is deducted each week as her weekly cost

a)

Given that:

The annual premium = $6180

Employers percent = 75% = 0.75

The money the employer pays annually = Annual premium × Employers percent = $6180 × 0.75 = $4635

b)

Since the employers percent = 0.75, her percent = 1 - 0.75 = 0.25

The money that she would pay annually = Annual premium × her percent = $6180 × 0.25 = $1545

c)

There are 52 weeks in a year.

The money she would pay weekly = money that she would pay annually / 52 weeks = $1545 / 52 weeks = $29.7 per week

Answer:

A. $ 4,635

B. $ 1,545

C. $ 29.72 (Rounding to the next cent)

Correct statement and questions:

Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.

a) How much does the employer pay annually

b) How much does she pay annually

c) How much is deducted each week as her weekly cost

Source:

Previous question that can be found at brainly

Step-by-step explanation:

A. The employer will pay annually the 75% of the annual premium:

6,180 * 0.75 = $ 4,635

B. Hermosa will pay annually the difference:

6,180 - 4,635 = $ 1,545

C. Hermosa will pay weekly:

1,545/52 = $ 29.72 (Rounding to the next cent)

Answer:

110/7 yards

Step-by-step explanation:

Given:-

- The radius of circular patio, r = 5 yards

Find:-

What is the circumference of circular patio

Solution:-

- The circumference "C" of a circle is given as:

            [tex]C =2 *\pi*r\\\\\pi = \frac{22}{7} \\\\ C = 2*\frac{22}{7}*5\\\\C = \frac{110}{7} yards[/tex]

- The circumference of the circular patio is 110 / 7 yards.            

Answer: 74

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

73+ 21

The amount of fabric needed for Jimmy's costume is not stated, we can only determine the amount needed for Rob's costume, which makes it impossible to compare the amounts needed for both of their costumes. If this omission was an error, then you can find the difference between these amounts if the amount needed for Jimmy's costume is stated explicitly.

Step-by-step explanation:

The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2

Assuming 1 3/4 is a mixed fraction.

= (7/8 + 1/2 + 7/4) ÷ 2

= (7 + 4 + 2) ÷ (8 × 2)

= 13/16 yards

Suppose 2 yards of fabric is needed for Jimmy's costume, then comparing with Rob's yards, we see that Jimmy's costume requires (2 - 13/16 = 19/16) more yards than Rob's costume.

Answer: it makes a horizontal shift. for example: (x-4) means the graph moved 4 units to the RIGHT.

Step-by-step explanation: it is essentially the opposite of what you think if it's inside the parenthesis.

Answer:

a) 1/48 or 2.0833%

b) 46/48 or 95.8333%

no it would not be unusual

c) I'm not sure sorry

Answer: 4x^{2} =64

x^{2} =16

x= \sqrt{16}

The square root of 16 is either positive four or negative four.

Answer:

x = 4 or x = -4

Step-by-step explanation:

4x² = 64

4x² - 64 = 0

(2x + 8) (2x - 8) = 0

x = ± 4

Answer:

8 mollies

Step-by-step explanation:

22-6=16

16/2=8 mollies

Answer:

5

Step-by-step explanation:

Final answer:

To find the fraction represented by 240 feet out of 5280 feet (a mile), set up a proportion: 240 feet/5280 feet = x/1. Cross multiplying gives x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.

Explanation:

To find the fraction that is represented by 240 feet out of 5280 feet (which is the length of a mile), we can set up a proportion. Let's call the fraction we're looking for x. The proportion is:

240 feet/5280 feet = x/1

Cross multiplying, we have 240 * 1 = 5280 * x. Simplifying, we get x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, [tex]z_{\frac{a}{2} } = \frac{0.05}{2} = 0.025[/tex]

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = [tex]\sqrt{Var(x)} = \sqrt{484} = 22[/tex]

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = [tex]\frac{(z^{*}) (SD)}{\sqrt{n} }[/tex]

[tex]5 = \frac{1.96 * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n} = 43.12\\(5)^{2} * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n = 1859.3344\\\frac{25n}{25} = \frac{1859.3344}{25} \\n = 74.373376\\n = 74[/tex]

The approximate value of n is 74.

The slope of a line perpendicular to the line with equation x - y = -3 is -1, as perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the line perpendicular to the line whose equation is x - y = -3 can be found by first writing the equation in the slope-intercept form (y = mx + b) to determine the slope of the given line. By rearranging the given equation to y = x + 3, we can see that the slope (m) of the line is 1. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of a line perpendicular to this one would be the negative reciprocal of 1, which is -1. Therefore, the slope of the line perpendicular to the line with equation x - y = -3 is -1.

Answer:

7 97/100

797/100

Step-by-step explanation:

For 42 cups of punch 168 cups lemonade is used.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have, For one punch 4 cups of lemonade to 3 cups of sparking juice is used.

Now, for 42 cups the amount of Lemonade needed

= 4 x 42

= 168 cups

and, Amount of Sparking juice needed

= 3 x 42

= 126 cups

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

70

Step-by-step explanation:

The probability that a person who uses the gym and the track does not use the swimming pool is 3/4.

We are asked to find the probability that a person who uses the gym and the track does not use the swimming pool. The number of people who use both the gym and the track is 16. Among these, 4 also use the pool, which means that 16 - 4 = 12 people use just the gym and the track, and not the pool. The probability that a randomly selected person who uses the gym and the track does not use the pool is calculated as the number of gym-and-track users who don't use the pool divided by the total number of gym-and-track users, which is 12/16 or 3/4.

Answer:

For a 9000 people, the approximate number of people for whom the medicine will be effect is 8432 people

Step-by-step explanation:

Here we have probability is given by

Probability = [tex]\frac{Number\, of \, Success}{Number\, of \, Trials}[/tex] Where:

Number of success = 3982 and

Number of trials = 4250. therefore;

[tex]Probability \, of \, Success = \frac{3982}{4250} = \frac{1991}{2125}[/tex]

Therefore, when the medicine is used on 9000 people, the approximate number of people for whom the medicine will be effect is given by;

[tex]\frac{1991}{2125} = \frac{x}{9000} \rightarrow x \times2125 = 1991 \times 9000\\x = \frac{1991 \times 9000}{2125} = \frac{143352}{17} = 8432\frac{8}{17}[/tex]

or ≈ 8432 people.

Answer:

B

Step-by-step explanation:

In this case we multiply the function f(x) = 2^x by 5, so the correct answer is B.

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × [tex]10^{-12}[/tex]

Step-by-step explanation:

We are finding the quotient of the expression below in scientific notation

[tex]\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}[/tex]

The following conclusions can be drawn

B.The power of 10 in the solution is –12, the difference of the original exponents.

C.The coefficient is 3, which is greater than or equal to one but less than 10.

D.The quotient is 3.0 × [tex]10^{-12}[/tex]