You graph the circle (x + 3)? + (y - 2)? = 25 and the line x = -8 in a coordinate plane. Which statement is
true?
A. The line is a tangent of the circle.
• B. The line is a secant of the circle.
• C. The line is a secant that contains the diameter of the circle.
• D. The line does not pass through the circle.

The shape of the sampling distribution will be approximately normal, with a center at 40 inches and a standard deviation of 1.645 inches.

The mean of the sampling distribution of the sample mean height for samples of size 10 will also be 40 inches.

The standard deviation of the sampling distribution of the sample mean height can be calculated as:

σ/sqrt(n) = 5.2/sqrt(10) = 1.645

So, the shape of the sampling distribution will be approximately normal, with a center at 40 inches and a standard deviation of 1.645 inches.

The variability of the sampling distribution is smaller than the variability of the population distribution, because the standard error is smaller than the population standard deviation. This means that the sample means are more likely to be closer to the population mean than the individual heights in the population.

Learn more about standard deviation here:https://brainly.com/question/475676

#SPJ1

The greatest number of outfits Jose can buy is 6

The given parameters are:

Let the number of new biking outfits be x

So, we have

New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget

This gives

284.52 + 4  * 15.65 + 11.31 + 31.95x ≤ 580

This gives

358.43 + 31.95x ≤ 580

Solve the inequality

31.95x ≤ 221.57

Divide

x ≤ 6.93

This gives

x ≤ 6

Hence, the greatest number of outfits is 6

Read more about inequality at

brainly.com/question/24372553

#SPJ1

Answer:

I think the answer would be A

can i have Brainliest?

Step-by-step explanation:

Answer:

Its actually B

Step-by-step explanation:

A IS WRONG

The Answer:

The answer to the equation that Clare gets is:

X1= -3/2 + 7/2i , X2= -3/2 - 7/2i.

The Explanation:

4x^2+12x+58=0

2x^2+6x+29=0

a=2, b=6, c=29

The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.

They are also made up of mathematical or arithmetic operations

Given the expression;

9 x^2 + 4 x – 11

Substitute the value of x as 3. 2

9(3.2 )² + 4(3.2) - 11

expand the bracket

9(10. 24) + 12. 8 - 11

104. 96 -11

93. 96

Substitute the value of x as -2

9(-2)² + 4(-2) - 11

9(4) - 8 - 11

17

Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

We can use zero product property in a series of steps to find the quadratic equation by factoring.

In mathematics, the zero product property states that if A and B are mathematical expressions, and AB = 0, then A = 0 or B = 0.

The steps that we use to solve a quadratic equation by factoring are as follows:

1- Put the equation in the form ax² + bx + c = 0, where a, b, and c are constants.

2- Factor ax² + bx + c.

3- Use the zero product property to set each factor equal to 0.

4- Solve each of the resulting equations for x.

To know more about quadratic equations visit: brainly.com/question/30098550

#SPJ4

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The perimeter of ΔPRT.

= RP + PT + RT

The perimeter of ΔPRT is 120 m

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

We will apply the Pythagorean theorem to ΔPRT

PT² = RP² + RT²

PT² = 900 + 1600

PT² = 2500

PT = 50

Now,

The perimeter of ΔPRT.

= RP + PT + RT

= 30 + 50 + 40

= 120 m

Thus,

The perimeter of ΔPRT is 120 m

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

hi! please see attached!

Answer:

answer is x=3

Step-by-step explanation:

Given the quadratic equation

x^2 − 6x + 9 = 0

The standard form of quadratic equation is

ax^2+bx+c=0

the quadratic formula is

x={-b+-sqrt(b^2-4ac)}/(2a)

Here,

a=1 b=-6 and c=9

so

x={-(-6)+-sqrt((-6)^2-4(1)(9))}/(2(1))

x={6+-sqrt(36-36)}/(2)

x=6/2=3

therefore,x=3

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

Answer:

1. In mathematics, a variable is a symbol and placeholder for a quantity that may change, or any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. Eg: x, y, etc...

2. incomplete question

Answer:

9 x 5 x 2 = 9 x 10

Step-by-step explanation:

Since 5 x 2 is 10, 9 x 10 is the same thing as 9 x 5 x 2.

Answer: 10

Step-by-step explanation: 9 times 5 times 2 is 90, and 90 divided by 9 is ten.

Answer:

5 was not multiplied by -1

Decidable languages are those for which there exists an algorithm that can determine whether any given input string belongs to the language or not. Turing-recognizable languages, on the other hand, are those for which there exists a Turing machine that can recognize any string belonging to the language, but may not halt on inputs that do not belong to the language.

The set of decidable languages is closed under subtraction, meaning that if L1 and L2 are decidable languages, then L1 - L2 (the set of strings that belong to L1 but not L2) is also decidable. This is because we can construct a Turing machine that first checks if an input string belongs to L2, and if it does not, then checks if it belongs to L1. If it does, then the machine accepts, otherwise it rejects.The set of Turing-recognizable languages is not closed under subtraction, meaning that there may exist some Turing-recognizable languages L1 and L2 for which L1 - L2 is not Turing-recognizable. This is because there may not exist a Turing machine that can recognize when an input string belongs to L1 - L2 without also being able to recognize some strings that do not belong to L1 - L2.

Learn More About Turing Machine: https://brainly.com/question/18970676

#SPJ11

Decidable languages are those for which there exists an algorithm that can determine whether any given input string belongs to the language or not. Turing-recognizable languages, on the other hand, are those for which there exists a Turing machine that can recognize any string belonging to the language, but may not halt on inputs that do not belong to the language.

The set of decidable languages is closed under subtraction, meaning that if L1 and L2 are decidable languages, then L1 - L2 (the set of strings that belong to L1 but not L2) is also decidable. This is because we can construct a Turing machine that first checks if an input string belongs to L2, and if it does not, then checks if it belongs to L1. If it does, then the machine accepts, otherwise it rejects.The set of Turing-recognizable languages is not closed under subtraction, meaning that there may exist some Turing-recognizable languages L1 and L2 for which L1 - L2 is not Turing-recognizable. This is because there may not exist a Turing machine that can recognize when an input string belongs to L1 - L2 without also being able to recognize some strings that do not belong to L1 - L2.

Learn More About Turing Machine:

brainly.com/question/18970676

#SPJ4

Full Question ;

Are the decidable and Turing-recognizable languages closed under subtraction?

Answer:

25/208 or 12.2%

Step-by-step explanation:

P(heart) = 13/52 = 1/4

P(red) = 26/52 = 1/2

because we are not replacing the first card drawn, the deck has 51 cards remaining

P(heart, red) = 1/4 × 25/52

= 25/208 or 12.2%

Answer:

fgfhgt68t77

Step-by-step explanation:

6ghdty7tfyu

Because the graph is starting high and going down, your answer is c- exponential decay

Answer:

This is exponential decay.

Step-by-step explanation:

Lets break down the answers:

A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.

B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.

C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.

D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.

Reduce the expression 184 by cancelling the common factors. Factor 2 2 out of 18 18 . Factor 2 2 out of 4 4 . Rewrite the expression.Answer:

Step-by-step explanation:

Answer:

4 1/2

Step-by-step explanation:

18 divided by 4 is 4.5, and 4.5 as a mixed-number-fraction is 4 and 1/2

The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

To know more about maximizes revenue click here :

https://brainly.com/question/29391100

#SPJ4

Answer:

A)

this is a corect answer for this question:)

Occupants are 10 times more likely to be killed in a crash when not buckled in. option c.

Wearing a seatbelt is one of the simplest ways to protect oneself while in a vehicle. When properly worn, it decreases the likelihood of being seriously injured or killed in a collision by as much as 50%. When an individual is not wearing a seatbelt, they are putting their lives at risk. Wearing a seatbelt should be a routine habit whenever an individual sits in a vehicle.

Buckling up is the easiest and most effective way to prevent injuries and fatalities on the road. If drivers, passengers, and children buckle up every time they travel in a vehicle, the likelihood of being killed or injured in a collision is greatly reduced. When occupants of a vehicle do not buckle up, they are 10 times more likely to be killed in a crash. This means that the likelihood of being killed is significantly higher when not wearing a seatbelt.

to know more about collision visit:

https://brainly.com/question/13138178

#SPJ11

the answer to the question is 67.38

The second derivative of the function f(t) = \(t * (t^2 + 9)^3\) is f"(t) =\(12t(t^2 + 9)^2 + 12t^2(t^2 + 9) + 2(t^2 + 9)^3 + 6t(t^2 + 9)^2\)

To find the second derivative of the given function, we need to apply the chain rule and power rule of differentiation.

Let's start by finding the first derivative, f'(t), of the function. Using the product rule, we get:

f'(t) = \((t^2 + 9)^3 * (1) + 3t * (t^2 + 9)^2 * (2t)\)

Simplifying this expression, we have:

f'(t) =\((t^2 + 9)^3 + 6t^2 * (t^2 + 9)^2\)

Next, we can find the second derivative, f''(t), by differentiating f'(t) with

respect to t:

f''(t) = \(3 * (t^2 + 9)^2 * (2t) + 12t * (t^2 + 9) * 2 * (t^2 + 9)\)

Simplifying further, we get:

f''(t) =\(6t * (t^2 + 9)^2 + 24t * (t^2 + 9)^2\)

Combining like terms, we obtain:

f''(t) = \(30t * (t^2 + 9)^2\)

Finally, we can expand the expression to get the simplified form of the second derivative:

f''(t) = \(360t^4 + 432t^2 + 72\)

So, the second derivative of the given function \(12t(t^2 + 9)^2 + 12t^2(t^2 + 9) + 2(t^2 + 9)^3 + 6t(t^2 + 9)^2\)

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Answer:

2x = -y

Step-by-step explanation:

The sum of 26.541 + 14.2 is greater than the integer 40, as the sum is equivalent to 40 + 0.741.

In this problem we need to compare the sum of two real numbers with an integer, also a real number. The two real numbers can be written as the sum of an integer and excess decimal part. Then, the given sum can be rewritten as:

x = 26.541 + 14.2

x = (26 + 0.541) + (14 + 0.2)

This sum must be compared with an integer, 40.

x = (26 + 14) + (0.541 + 0.2)

x = 40 + 0.741

Then, by direct comparison, we see that the sum of 26.541 + 14.2 is greater than 40.

To learn more on integers: https://brainly.com/question/1768254

#SPJ1

The batches that Bonnie can make with all of the pudding that she has is 7.5 batches.

Given that Bonnie is making pudding pops to bring to a picnic tomorrow and she has 3 quarts of pudding, and each batch of pudding pops uses 2/5 of a quart of pudding.

The number of batches that can be made will be gotten by dividing the values. This will be:

= Number of pudding / Amount needed for each batch

= 3 ÷ 2/5

= 3 × 5/2

= 15/2

= 7.5

Therefore, 7.5 batches can be made.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

His rate in chapters per hour is 8 chapters per hour

Step-by-step explanation:

If you divide 56 by 7 you get 8 also if you want to check to be sure you can just multiply 8 and 7 or 7 and 8

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Answer:

each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.

Step-by-step explanation:

57.2 divided by 8 is 7.15

Answer:

5a-25=bigger than 25

a=bigger than 10

Step-by-step explanation:

Answer:

a>10

Step-by-step explanation:

10-5=5

5 times 5=25

So a must be bigger than 10