Plug in the point to determine if it is on the circle
(x – 3)² + y2 = 4
(5,0)

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

so

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

so

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

Answer:

(2,3,4,5,6,7)

6

Step-by-step explanation:

I thought I'm wrong ...

The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

where PV salvage = $3,580 / \((1+i)^5\)

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Answer:

58.45

Step-by-step explanation:

Use BIDMAS

14.5 X 3.1 = 44.95

44.95 + 13.5 = 58.45

Answer:

58.45

Step-by-step explanation:

Answer:

diameter=1

radius(r)=1/2 =0.5

area of circle=πr²

hope it helps.

Answer:

i cant show my work im sorry i cant help

Step-by-step explanation:

1

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.

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Answer:

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Soldier is mal-adjusted.

Probability of a positive test:

55% of 5%(mal-adjusted).

19% of 100 - 5 = 95%(well adjusted). So

\(P(A) = 0.55*0.05 + 0.19*0.95 = 0.208\)

Probability of a positive test and soldier being mal-adjusted.

55% of 5%. So

\(P(A \cap B) = 0.55*0.05 = 0.0275\)

What is the probability that the soldier is mal-adjusted?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322\)

0.1322 = 13.22% probability that the soldier is mal-adjusted.

The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.

The slope is the rate of change of y-axis with respect to x-axis.

We know that equation of a line in slope intercept form is y = mx + b.

To find the y-intercept b we will substitute the value of m and point (x,y).

∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,

-5 = -(2/5)×10 + b.

-5 = -4 + b.

b = -1.

So the given equation of the line is y = (-2/3)x - 1.

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

the awnser is 256

Step-by-step explanation:

Where a 30° central angle in a circle is equivalent to π/6 radians, the complete sentence is given as: "the length of the arc intercepted by this central angle is 1/6 times the length of the circumference."

It is to be noted that a central angle is an angle formed by two radii of a circle with its vertex at the center of the circle.

In this case, the Central angle 30° = π/6 radians.

Thus, the length of the arc intercepted by this central angle is 1/6 times the length of the circumference.

This is a mathematical rule that applies to any circle's center angle. It asserts that the length of an arc intersected by a central angle is proportional to the measure of the central angle and that the proportionality constant is the circumference of the circle divided by 360 degrees (or 2 π radians).

Hence, if a central angle is measured in degrees (or ϴ radians), the length of the associated arc is (θ/360) times the circle's diameter (or (ϴ/2) times the circle's circumference).

Hence, it  is correct to state that: ""he length of the arc intercepted by this central angle is 1/6 times the length of the circumference."

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Note that the probabilities are given below.

a) the probability of a randomly selected catch being a mouse caught by Cyd

p(Catching a mount) x p(Cyd made the catch)

= 0.5x .2

= 0.1

b) the   probability of a bird not caught by Cyd is 0.5 x 0.8 = 0.4.

Thus

P(that a catch is a bird) x p(the Cyd didn't make the catch)

= 0.3 x 0.8

=0.24

c) The probability of a randomly selected catch being caught by Greg is 0.45

To calculate, we say

(0.5   x0.45) + (0.3 x 0.45) + (0.2 x .45)

= 0.45.

d)

P (mouse caught by Greg) = (0.45 x 0.5) / 1

= 0.225.

e) P(catch is a mouse caught by Ken and catch is a mouse)

= P(catch is a mouse | catch is made by Ken) x P(catch is made by Ken)

= 0.05 x 0.1

= 0.005

f)

P (catch made by Cyd | catch is a mouse)

= 0.1    x 0.2 / 0.5

= 0.04

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Answer:

GCF of 18 and 24 is 6. So she can sell 6 packages with 4golf balls and 3 golf clubs

Step-by-step explanation:

Give brainliest please

Answer:

24 remainder 3.

Step-by-step explanation

Hope this helps!

The given expression:

Is a quadratic function, to determine the possible values of the variable, which are the roots of the function, you have to use the quadratic formula:

Where

"x" represents the variab

Answer: 4 pairs

Step-by-step explanation:

121-16=105.   However, 121 can be made by squaring -11 or 11.  16 can be made by squaring 4 or -4.  Thus, the choices are 11,4 11,-4 -11,4 -11,-4

The mean absolute deviation for the given data set is 2.

To calculate the mean absolute deviation (MAD), we first need to find the absolute difference between each data point and the mean, and then calculate the average of these absolute differences.

Given the data set: 1, 7, 7, 7, 8 and the mean is 6.

To find the absolute difference between each data point and the mean:

|1 - 6| = 5

|7 - 6| = 1

|7 - 6| = 1

|7 - 6| = 1

|8 - 6| = 2

Next, we calculate the average of these absolute differences:

(5 + 1 + 1 + 1 + 2) / 5 = 10 / 5 = 2

The mean absolute deviation measures the average distance between each data point and the mean, providing information about the spread or variability of the data. In this case, the MAD of 2 indicates that, on average, the data points deviate from the mean by approximately 2 units.

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Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

Answer:

18000 m

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first know how many minutes are in an hour

As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times

So 9000 two times is 18000,

Meaning, in 1 hour, Sam will climb 18000 m

Answer:

18,000m in an hour

Step-by-step explanation:

We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.

9514 1404 393

Answer:

  b. angle K is acute

Step-by-step explanation:

We're often told not to draw any conclusions from the appearance of a figure in a geometry problem. Here, angle K appears to be somewhat less than 90°, so angle K is acute.

__

Additional comment

This choice of answer is confirmed by the fact that the other two (visible) choices say the same thing. If one of them is correct, so is the other one. Hence they must both be incorrect. (An obtuse angle is more than 90°.)

Answer:

-9x/2 + 15/2

Step-by-step explanation:

(15-9x)* 1/2

15(1/2)-9x 1/2

15/2 -9x *1/2

15/2-9x/2

-9x/2 + 15/2

Answer:

21/2 ( SEE IMAGE BELOW)

Step-by-step explanation:

Calculate the product

15- 9/2

Calculate the Differnce

21/2

so the answer is 21/2

Answer:

Step-by-step explanation:

use distributive prop.

3 times q =3Q

3 Times -7 =-21

3Q-21=21

ADD 21 to both sides

3q=42

q=14 .

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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Answer: Answer C

Step-by-step explanation:

Because it is a reflection of the Y-axis, the X-coordinates would remain the same but the Y-coordinates would change.

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)