How to change 7.25% into a decimal?

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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This type of property is called the "commutative property" of multiplication, where the order of the factors does not change the product.

y - x = 13

Adding x at both sides of the equation:

y - x + x = 13 + x

y = 13 + x

Substituting with x = 11, we get:

y = 13 + 11

y = 24

Answer:

- 4.5, - 0.5, 0.7, 2.3, 3.0

Hey there!

2 1/4

= 2 * 4 + 1 / 4

= 8 + 1 / 4

= 9 / 4

= 9 ÷ 4

= 2.25

Therefore, your answer is: 2.25

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The null hypothesis is \(\mu = 39.09\)  

The symbol \(\mu\) is the Greek letter mu

The alternate hypothesis is \(\mu \ne 39.09\) telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to \(\mu \ne 39.09\)

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

----------------------

Summary:

The two hypotheses are

H0: \(\mu = 39.09\)

H1: \(\mu \ne 39.09\)

This is a two tailed test.

Answer:

The Answer is C

Step-by-step explanation:

Answer:

  (c)  x³·∛x

Step-by-step explanation:

You want the simplified form of ∛(x¹⁰).

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

  \(\sqrt[3]{x^{10}}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}\)

<95141404393>

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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Answer:

90 points

Step-by-step explanation:

We can find 60% of the total points by multiplying that percentage by the total possible number of points, which is given as 150.

\(\begin{aligned}150\cdot 60\% &= 150 \cdot \dfrac{6}{10} \\ \\ &= 150 \cdot \dfrac{3}{5} \\ \\ &= \dfrac{150 \cdot 3}{5} \\ \\ &= \dfrac{450}{5} \\ \\ &= 90\text{ points}\end{aligned}\)

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

\(210^\circ = \frac{7}{6}\pi\)

Step-by-step explanation:

Given

\(\theta = 210^\circ\)

Required

Convert to radians

To convert to radians, we make use of:

\(Radians = \theta * \frac{\pi}{180^\circ}\)

Substitute: \(\theta = 210^\circ\)

\(Radians = 210^\circ* \frac{\pi}{180^\circ}\)

\(Radians = \frac{210^\circ* \pi}{180^\circ}\)

Simplify fraction

\(Radians = \frac{7\pi}{6}\)

\(Radians = \frac{7}{6}\pi\)

Hence:

\(210^\circ = \frac{7}{6}\pi\)

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both of the graphs include infinite number of points.

The solution is the common point that belongs to both of the graphs, the intersection point.

We can see it is the point (1, 5)

This is the point when the temperature change is positive 1 degree.  At this point number of visitors is equal to number of those leaving the part early.

1) 3.25n

Overall cost of n gallons of gas

2)3.25n = 26

we are spending 26 dollars on 8 gallons of gas

3)40-3.25n

Ammount we have remaining after spending on n gallons of gas out of 40 dollars

4) 40-3.25n = 1.00

The maximum number of gallons of gas we can buy from 40 dollar is 13 gallons and 1 dollar is still remaining to us.

The given representations could be classified thus :

3.25n (Expression)

3.25n=26 (Equation)

40-3.25n (Expression)

40-3.25n=1.00 (Equation)

Total amount to spend = $40

Cost per gallon = $3.25

Number of gallons = n

An expression could be a variable, constant or a combination of both which is related by an operation symbol.

An equation on the other hand maybe defined as a relationship between two expressions linked by an equal to symbol.

Evaluating the representations given :

3.25n : This is an expression as it lacks an equal to sign connecting the expression. The expression means the cost of n gallons of gas.

3.25n = 26 : This is an equation as it contains two Seperate expressions connected by the equal to sign. The equation means that number of gallons of gas, n that can be purchased with $26.

40 - 3.25n : This is an expression. The amount left after purchasing n gallons from $40.

40 - 3.25n = 1.00 : This is an equation. The number of gallons of gas that can be purchased from $40 and still have $1 left.

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The z-score for the 0.75 proportion is -1.95.

The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.

The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

In a set with mean X and standard deviation μ, the z score of a measure X is given by:

Z=(X-μ)/σ

In this problem, we have that:

n=100,p=0.82

So,μ=E(X)=np=100×0.82=82

Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841

For Finding the probability that less than 75 in the sample keypads pass inspection.

Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.

=>z= (74.5-82)/3.841

=>z= - 7.5/3.841

=>z= - 1.95 has a p-value to 0.

Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95

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The equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a ]where is the amplitude of the function.

As we know,

The standard form of the sin function is:

y = asin(bx) + c

From the graph, we get the values of a, b, and c

Or

On applying a transformation to the function:

y = sinx

y = 2sinx (function will strech vertically)

y = 2sinx - 2 (function will shift down by 2 units)

y = 2sin(-4x) - 2 ( function will reflect and shrink by factor 4)

Thus, the equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

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Answer:

2263

Step-by-step explanation:

1 + 1 x 29 x 78

1 + 29 x 78

1 + 2262

2263

Step-by-step explanation:

For this equation: a=6, b=-8, c=7

6x2+−8x+7=0

Step 1: Use quadratic formula with a=6, b=-8, c=7.

x=−b±√b2−4ac2a

x=−(−8)±√(−8)2−4(6)(7)2(6)

x=8±√−10412

Answer:  D is the answer. trust me.

Step-by-step explanation:

The problem that could be solved using the equation 10x+5=35 is option D: After a $5 discount, an order of 10 items cost $35. How much did each item cost?

To solve this problem, we can use the equation 10x + 5 = 35, where x represents the cost of each item. The $5 discount reduces the total cost of the 10 items by $5, so the total cost of the 10 items before the discount would be 10x. Therefore, we can set up the equation:

10x + 5 = 35

Subtracting 5 from both sides, we get:

10x = 30

Dividing both sides by 10, we get:

x = 3

So, each item cost $3 before the discount.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the arc is proportional to the central angle.

The circumference of the circle is given by ...

  C = 2πr

  C = 2π(8 in) = 16π in ≈ 50.265 in

The 60° arc represents 60°/360° = 1/6 of the circle, so its measure will be 1/6 of the total circumference.

 short arc = (1/6)(16π in) ≈ 8.38 in

The remaining portion of the circle is 5/6 of the total circumference, so is ...

  long arc = (5/6)(16π in) ≈ 41.89 in

__

Additional comment

If you use 3.14 for pi, you will get shorter lengths for the arcs. Here, we used the calculator's "pi button."

Answer:

Step-by-step explanation:

I'm not familiar with the conversions from American dollars. I can help you solve it though.

Count how many days from Nov 26 to Dec 26 and multiply that by 9p.

It's 30 days by 9p. Take that total and convert it.

Hopefully this helps you.