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Answer:

11 months

Step-by-step explanation:

Subtract your og number by 1500 to get how much money was spent in between. You should get 3300.

Divide that by 300 dollars to get the amount of months. You should get 11!

Hope this helps! (^-^)

Answer:

y=120x

Step-by-step explanation

i got it right

Answer:

16

Step-by-step explanation:

Subtract DE from CE and you will get the value of CD

27 - 11 = 16

Answer:

$562.50

Step-by-step explanation:

1) Find the volume

V = base x width x height = 5 x 0.5 x 2.5 = 6.25 in^3

2) Multiply the nearest whole number  x 90

cost = 6 x 90 = $540

3) find the cost of 0.25 in^3

90 : 4 = 22.5

4) find the total cost

540 + 22.5 = $562.50

The terminal point on the unit circle use exact values are,

( x , y ) = ( \(\sqrt{\frac{3}{2} }\) , - \(\frac{1}{2}\) )

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

According to the question, it is provided that,

θ =  11π/6 radians

Now,

x = 1.cos(11π/6)

x = cos(11π/6)

x = cos(330°)

x = \(\sqrt{\frac{3}{2} }\)

y = 1.sin(11π/6)

y = sin(11π/6)

y = -0.5

y = - \(\frac{1}{2}\)

Then,

( x , y ) = ( \(\sqrt{\frac{3}{2} }\) , - \(\frac{1}{2}\) )

These two represents the terminal points

To find the terminal positions, we merely used the aforementioned equations, equated these two equations, and concluded that the same should be taken into consideration.

It could be figure out by using the x and y points

Therefore

The terminal point on the unit circle use exact values are,

( x , y ) = ( \(\sqrt{\frac{3}{2} }\) , - \(\frac{1}{2}\) )

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Step-by-step explanation:

a. It would provide a quantitative data

b. Yes, it would make more sense to use percentages rather than averages as this is estimating a proportion.

c. 44% of the respondents strongly agree

d. the results do not indicate general support for or against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving as the only respondents will be those that agree with the researchers claim and the study will be biased against those who do not agree.

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

68 is the maximum

Step-by-step explanation:

look at the greatest number

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

\(\boxed{\sf Slope=m=tan\Theta=\dfrac{y_2-y_1}{x_2-x_1}}\)

Looking at options

#A

\(\\ \sf\longmapsto m=\dfrac{3}{-3}=-1\)

#B

\(\\ \sf\longmapsto m=tan\Theta=tan0=0\)

#C

\(\\ \sf\longmapsto m=tan90=\infty\)

#D

\(\\ \sf\longmapsto m=\dfrac{3}{3}=1\)

Hence option D is correct

Answer:

• The first graph.

→ Consinder points (-2, 0) and (-3, -1) from the graph:

\({ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \tt{slope = \frac{0 - ( - 1)}{ - 2 - ( - 3)} = \frac{1}{1} }} \\ \\ { \boxed{ \tt{slope = {}^{ + } 1}}}\)

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer:

72

Step-by-step explanation:

I think it is correct

Answer:

Explanation:

Given the sum:

First, remove the brackets:

Next, rearrange to bring the like terms together:

Combine like terms:

The result of the sum is:

The solution to the inequality given as 2x+5y<1 has the coordinates of (-10, 4)

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

2x+5y<1

Solving further, we need to collect the like terms

Since there are no like terms in the expression, it remains unchanged

So, the inequality becomes

2x + 5y < 1

Subtract 5y from both sides of the inequality

This gives

2x < 1 - 5y

Divide both sides by 2

The expression becomes

x < 1/2 - 5/2y

Evaluate

x < 0.5 - 2.5y

At this point, we assume any value for y and then solve for x

Assume that the value of y is 4

So, we have the following representation

x < 0.5 - 2.5 * 4

Evaluate the products

x < -9.5

This means that x is less than -9.5 when y is 4

-10 is less than -9.5

So, we have

x = -10 and y = 4

Express as ordered pairs (i.e. coordinates)

(x, y) = (-10, 4)

Hence, the coordinates of the solution is (-10, 4)

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Answer:

First, we will use the slope intercept form:  y=mx+b

The given slope is:  m=1/3

The given point is:  x= -3 and y=0

Second, plug the above numbers into the slope intercept form.

y=mx + b

0=(1/3)(-3) +b

Third, solve for b.

0= -1 +b

1 = b

b is the y intercept.

The y intercept is: (0,1)

The equation would be:

y=(1/3)x +1

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

y=mx + b

0=(1/3)(-3) +b

0= -1 +b

1 = b

y intercept: (0,1)

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?

Answer:

The answer is below

Step-by-step explanation:

Let us assume that each box represent 1 unit. Therefore we can get the coordinate of G and H. From the graph, the coordinate of G is (-2, -3) while the coordinate of H is at (0, 3).

The distance between two points A(\(x_1,y_1\)) and B(\(x_2,y_2\)) on the coordinate plane is:

\(|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between G(-2, -3) and H(0, 3) is:

\(|GH|=\sqrt{(0-(-2))^2+(3-(-3))^2}=\sqrt{4+36}=\sqrt{40}\\ \\|GH|=6.325\ units\)

Using the distance formula, GH = 6.3 units.

Given the coordinates of two points on a coordinate plane, the formula for finding the distance between them is: \(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

Given:

Plug in the values into the distance formula:

\(GH = \sqrt{(-3 - 3)^2 + (-2 - 0)^2} \\\\GH = \sqrt{36 + 4} \\\\GH = 6.3\)

Therefore, using the distance formula, GH = 6.3 units.

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The ratio of football to total equipment is 3/ 7

Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.

It explains how many times one number contains another.

From the diagram shown, we have:

Ratio of football to total equipment is;

= 6/ 6 + 2 + 6

= 6/ 14

Find common divisor

= 3/ 7

Thus, the ratio of football to total equipment is 3/ 7

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The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Answer:

10 pages

Step-by-step explanation:

1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages

20 minutes goes into 2 and 1/2 hours 7.5 times

10 pages i did this on edge

2020 hope this helps

your welcome =)

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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The correct measure of variation for best to describe this distribution is,

⇒ interquartile range

Option B is true.

For a data set has outliers and variability is often summarized by a statistic called the interquartile range, which is the difference between the first and third quartiles.

Given that;

The dot plot shows the ages of the 20 people currently in Ms. Jens classroom.

Hence, To describe this distribution we can use the interquartile range.

Thus, The correct measure of variation for best to describe this distribution is,

⇒ interquartile range

Option B is true.

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