8 is 25% of what number?

There are a couple of different ways we can do this: change the fraction into a decimal or multiply by the reciprocal.

Change the Fraction Into a Decimal

---3/4 = 0.75

So, instead of using the fraction, we can put it into decimal form. We will need to move the decimal point in both numbers though, making our division problem as follows:

20096 / 75 = ?

---The decimal point was moved two places to the right in order to make the former fraction a whole number.

Multiply by the Reciprocal

---To find the reciprocal, switch the numerator and denominator, essentially "flipping" the fraction upside down.

Another way of dividing by fractions is multiplying by the reciprocal. For example, dividing a number by 3 is the same thing as multiplying by 1/3. We can do the same in this problem. Instead of dividing by 3/4, we can multiply by 4/3, making our problem look as follows:

200.96/1 x 4/3 = ?

Answer: 803.84 / 3 = 267.9467

Hope this helps!

The centerline for the p¯p¯ chart is simply the average proportion of successes in the population, which is p = 0.04. Therefore, the centerline is 0.04.

To calculate the control limits, we need to use the formulas:

UCL = p + 3√((p(1-p))/n)
LCL = p - 3√((p(1-p))/n)

Substituting in the given values, we get:

UCL = 0.04 + 3√((0.04(1-0.04))/250) = 0.068
LCL = 0.04 - 3√((0.04(1-0.04))/250) = 0.012

Therefore, the upper control limit (UCL) is 0.068 and the lower control limit (LCL) is 0.012.
Hi! To calculate the centerline, upper control limit (UCL), and lower control limit (LCL) for the p¯ chart, we will use the given values of n = 250 and p = 0.04.

a. Centerline: The centerline is simply the value of p, which is 0.04. So, the centerline is 0.04 (rounded to 2 decimal places).

b. UCL and LCL: To calculate the control limits, we'll first find the standard deviation of the process using the formula:

Standard Deviation (σ) = √(p * (1 - p) / n) = √(0.04 * (1 - 0.04) / 250) ≈ 0.0111

Next, we'll calculate the control limits using the formula:

UCL = Centerline + 3 * σ ≈ 0.04 + 3 * 0.0111 ≈ 0.0733 (rounded to 3 decimal places)
LCL = Centerline - 3 * σ ≈ 0.04 - 3 * 0.0111 ≈ 0.0067 (rounded to 3 decimal places)

So, the centerline is 0.04, the upper control limit (UCL) is 0.073, and the lower control limit (LCL) is 0.007.

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For the given graph, we have that:

a) It is not a function.

b) The function is discrete.

c) The domain is {-5,2} and the range is all real values.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For this problem, we can see that it is not a function, as the values of x = -5 and x = 2 are mapped to multiple values of y.

For this problem, the function is defined only for x = -5 and x = 2, which are integer values, hence it is a discrete function.

Thus, the domain is {-5,2} and the range is all real values.

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Answer:

5. (a)

6. (b)

I am hoping that this will help you

The shadow is changing at a rate of 2.08 ft/sec and it is decresing since the angle between the spot light and man is decresing.

Differentiation is the pace at which one quantity changes in relation to another. The rate at which distance changes in relation to time is used to determine speed. This speed is not the same as the average determined at each instant. The instantaneous rate at which the distance changes over time is what is known as the slope, and speed is the same as slope.

Differentiation is the ratio of a slight change in one quantity to a little change in another that depends on the first quantity. Calculus' major emphasis on the differentiation of a function makes it one of the subject's key ideas. Differentiation is the process of determining the maximum or lowest value of a function, the speed and acceleration of moving objects, and the tangent of a curve. If y = f(x) and f(x) is differentiable, then f'(x) or dy/dx is used to indicate the differentiation.

Given ,

speed of the person walking  = \(\frac{dx}{dt}\) = 2.5 ft/sec

by similarity of triangle

⇒  \(\frac{y}{6} = \frac{20}{12}\)

⇒ y = 10

Again  by similarity of triangle

\(\frac{y}{6} = \frac{20}{20-x}\)

⇒ differentiating both side with respect to 't' we get,

\(\frac{dx}{dt}\) = \(\frac{120}{y^{2} } \frac{dy}{dt}\)

⇒ \(\frac{dy}{dt} = \frac{10^{2} }{120}*2.5\)

⇒  \(\frac{dy}{dt} = 2.08\).

The shadow is changing at a rate of 2.08 ft/sec and it is decresing since the angle between the spot light and man is decresing.

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Answer:

(x-7)^2 + (y-9)^2 = 25

Step-by-step explanation:

Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

Answer:show ur homework page I have the same one I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

The monthly cost is C(t) = 6 + 0.05t, where t is the number of minutes talked.

Talking for 8 hours would cost C(t) = 6 + 0.05(8), or $6.40;

Talking for 20 hours would cost C(20) = 6 + 0.05(20), or $7.00.

The effective cost per minute in the first case is $6.40/8 min = $0.80/min, and that in the second case is $7.00/20 min = $0.35/min

The triangle ABC and triangle DCE are congruent by SAS congruence postulate ,

the correct option is (B).

The SAS congruence postulate of triangle states that two triangles are congruence , if the two corresponding sides and the corresponding angles of triangle are  equal .

In the question ,

a figure with two triangle ABC and DCE are given ,

also given that side CD = CB  and

side  AC = EC

For the triangle ABC and triangle DCE

CD = CB   ...given

∠ACB = ∠DCE    .... vertically opposite angles

AC = EC   ....given

Hence the ΔACB ≅ ΔDCE

Therefore , the triangle ABC and triangle DCE are congruent by SAS congruence postulate ,

the correct option is (B).

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Answer: SAS

Step-by-step explanation:

Step-by-step explanation:

a. 6 £/hr

b. 6.8 £/hr.....is this right?

Answer:

B) 1 hour = £10

Step-by-step explanation:

the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10

Answer:

24

Step-by-step explanation:

CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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Answer:

Answer: C) diameter is twice the radius

Step-by-step explanation:

edge2021

Answer:

2,3,4,6,8

Step-by-step explanation:

prime factorization: 2^3×3×7 which has: 2, 3, 4, 6, 8

Answer:

It is divisible by 1, 2, 3, 4, 6, 7, 8

Step-by-step explanation:

Everything is divisible by one, so this is obvious.

168 is an even number, therefore being able to be divided by 2

1+6+8=15 which is in the 3 times tables (3x5=15)

If the last two digits are divisible by 4 (which 68 is) then you can divide it by 4.

168 doesn't end in 5 or 0 so it can't be divided by 5

This number can be divisible by 2 and 3 so it can be divided by 6

160 is divisible by 8 so if you add 8 it is divisible.

1+6+8=15 again which is not divisible by 9

It doesn't end in 0 meaning it cannot be divisible by 10

Hope this helped! <3

Answer: 0

Step-by-step explanation:

The slope of a line that contains the points (13, -2) and (3, -2) would be 0, since the y-coordinate of both points is the same. The slope of a line is determined by the difference in the y-coordinates of the two points, divided by the difference in their x-coordinates. In this case, the difference in the y-coordinates is 0, so the slope is 0.

1. coefficient

2. constant

3. variable

4. equation

5. inequality

6. two - step

-- let me know if you have any questions regarding this.

The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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Step-by-step explanation:

step 1. we will call the probability P.

step 2. P = (3/6)(1/5) = 3/30 = 1/10.

Answer:

y = -3x + 800

Step-by-step explanation:

You start out with 800 eggs and go down 3 eggs with each customer

The function for the number of eggs left y after x customers is

y = 800 - 3x

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Number of eggs the diner starts in a week = 800

The number of eggs each customer gets = 3

Now,

The number of y eggs after x customers.

y = 800 - 3x

Thus,

The function is y = 800 - 3x.

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There are 191 different patterns of mail delivery possible for the 19 houses on the northern side of the street, satisfying the given conditions.

To determine the number of different patterns of mail delivery in this scenario, we can use a combinatorial approach.

Let's consider the possible patterns based on the number of houses in a row that receive mail on the same day: If no houses in a row receive mail on the same day: In this case, all 19 houses would receive mail on different days. We have a single pattern for this scenario.

If one house in a row receives mail on the same day: We have 19 houses, and we can choose one house in a row that receives mail on the same day in 19 different ways. The remaining 18 houses would receive mail on different days. So, we have 19 possible patterns for this scenario.

If two houses in a row receive mail on the same day: We have 19 houses, and we can choose two houses in a row that receive mail on the same day in C(19, 2) = 19! / (2! * (19-2)!) = 171 different ways. The remaining 17 houses would receive mail on different days. So, we have 171 possible patterns for this scenario.

Therefore, the total number of different patterns of mail delivery in this scenario is: 1 (no houses in a row) + 19 (one house in a row) + 171 (two houses in a row) = 191 different patterns.

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Answer:

68%

Step-by-step explanation:

In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:

The length of line segment AB in the triangle using the midsegment theorem is 64.

The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."

From the diagram:

Midsegment = 3x + 5

Third side = 7x + 1

First, we solve for x, using the midsegment theorem:

( 3x + 5 ) = 1/2 × ( 7x + 1 )

Multiply both sides by 2:

2( 3x + 5 ) = ( 7x + 1 )

6x + 10 = 7x + 1

Collect and add like terms:

7x - 6x = 10 - 1

x = 10 - 1

x = 9

Now, we solve for line AB:

Line AB = 7x + 1

Plug in x = 9

Line AB = 7(9) + 1

Line AB = 63 + 1

Line AB = 64

Therefore, the line segment AB is 64.

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Answer:

Step-by-step explanation:

4+6+10+10+15+17+19=81

Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.

A presentation aid which is a pictorial representation of statistical data is called a Graph. Graph is defined as a statistical diagram or chart which is used to represent statistical data in an easy-to-understand format.

Graphs are very effective in helping people understand large quantities of complex data.Graphs can be used to represent different kinds of data such as line graphs, bar graphs, pie charts, scatter graphs, and more. Line graphs are used to show how a variable changes over time, bar graphs are used to compare different quantities, pie charts are used to show the proportion of different parts of a whole, and scatter graphs are used to show how two variables are related to each other.Graphs have a number of benefits over tables when it comes to representing data.

For one thing, they are often easier to read and understand than tables. They are also more visually appealing, which makes them more likely to grab people's attention. Finally, they can be used to show trends and relationships in data that would be difficult to see in a table.

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The correction option is C. 3,724,174 people after 9 years.

The population of the country can be determined by the given function \(B = 2,000,000e^(0.037t)\), where t represents the number of years. To find the population after 9 years, we need to substitute t = 9 into the equation and calculate the value of B.

Using the equation, we have:

\(B = 2,000,000e^(0.037 * 9)\)

Simplifying the exponent, we get:

\(B = 2,000,000e^(0.333)\)

Calculating the exponential value, we find:

\(B ≈ 2,000,000 * 1.3956\\\)

B ≈ 2,791,200

Rounding this value to the nearest whole number, we get:

B ≈ 3,724,174 people

Therefore, the country is projected to have approximately 3,724,174 people after 9 years.

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Answer: x=0

Step-by-step explanation:

2x+6=-2x+6

2x+2x=6-6

4x=0

x=0/4

x=0

The test statistic is 1.177, and the p-value is approximately 0.120, which is greater than the significance level of 0.05, indicating that there is not enough evidence to conclude that the proportion of defective circuit boards is greater than 3%.

To test the hypothesis that more than 3% of circuit boards are defective, we can use a one-tailed test with the following null and alternative hypotheses:

\(H_0\): p ≤ 0.03 (proportion of defective boards is less than or equal to 3%)

\(H_a\): p > 0.03 (proportion of defective boards is greater than 3%)

where p is the true proportion of defective boards in the population.

To calculate the test statistic, we can use the following formula:

z = (p-cap - p0) / √(p0(1-p0)/n)

where p is the sample proportion of defective boards, p0 is the hypothesized proportion (0.03), and n is the sample size.

In this case, we have p-cap = 0.04, p0 = 0.03, and n = 100, so the test statistic is:

z = (0.04 - 0.03) / √(0.03(1-0.03)/100) = 1.177

To determine the p-value associated with this test statistic, we can use a standard normal distribution table or a calculator to find the probability of observing a z-value of 1.177 or greater under the null hypothesis. This probability is approximately 0.120, which is the area to the right of z = 1.177 on the standard normal distribution curve.

Since this p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis.

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