Roger is a baseball player who gets a hit about 1

of the times he comes to bat. Last year he batted

636 times. Assuming he had no "walks," how

many outs did he make?

Answer:

The x-interceptis1 and y-intercept is-4

Answer:

x intercept: 1

y intercept: -4

Step-by-step explanation:

If you look at where the line hits the x axis, it hits it at 1. And if you look at where the line hits the y axis it hits it at -4.

The insurance cost now is £449.204.

Given:

Brian pays £465. 98 a year on his car insurance. The insurance company reduces the price by 3. 6%.

Insurance  = 465.98*3.6%

= 465.98*3.6/100

= 465.98*36/10*100

= 46598/100 * 36/1000

= 46598*36 / 100000

= 1677528/100000

= 16.77528

Insurance cost now = 465.98 - 16.77528

= £449.20472

Therefore the insurance cost now is £449.204.

Learn more about the insurance cost here:

https://brainly.com/question/13168988

#SPJ4

Answer:

45 degree ange slice

Step-by-step explanation:

The probability that neither interval contains the respective population mean is 0.01 and the probability that both intervals contain their respective population means is 0.81.

Assuming that the two populations are independent, we can use the fact that the confidence interval is constructed such that there is a 90% probability that the true population mean falls within the interval.

Let's denote the two populations as Population A and Population B, and the confidence intervals for their respective means as CI_A and CI_B.

The probability that neither interval contains the respective population mean can be calculated as the complement of the probability that at least one interval contains its respective population mean.

P(neither interval contains its respective population mean) = 1 - P(at least one interval contains its respective population mean)

To calculate the probability of at least one interval containing its respective population mean, we can use the fact that the probability of an event A or B occurring is equal to the sum of their individual probabilities minus the probability of both events occurring simultaneously:

P(A or B) = P(A) + P(B) - P(A and B)

In this case, the event A is the event that CI_A contains the true population mean for Population A, and event B is the event that CI_B contains the true population mean for Population B.

Using this formula, we can calculate:

P(at least one interval contains its respective population mean) = P(CI_A contains true mean for Population A) + P(CI_B contains true mean for Population B) - P(both intervals contain their respective population means)

Since the two populations are independent, the events of each interval containing its respective population mean are also independent. Therefore, the probability of both intervals containing their respective population means can be calculated as the product of their individual probabilities:

P(both intervals contain their respective population means) = P(CI_A contains true mean for Population A) * P(CI_B contains true mean for Population B)

Now we have all the information we need to calculate the probability of interest:

P(neither interval contains its respective population mean) = 1 - P(at least one interval contains its respective population mean)

= 1 - [P(CI_A contains true mean for Population A) + P(CI_B contains true mean for Population B) - P(CI_A contains true mean for Population A) * P(CI_B contains true mean for Population B)]

Note that we don't have any specific information about the probabilities of the intervals containing their respective population means, so we can't calculate this probability exactly. However, we do know that the confidence intervals are constructed such that there is a 90% probability that the true population mean falls within the interval. This means that the probability of each interval containing its respective population mean is 0.9.

Using this information, we can calculate:

P(neither interval contains its respective population mean) = 1 - [0.9 + 0.9 - 0.9 * 0.9]

= 1 - 0.99

= 0.01

Therefore, the probability that neither interval contains the respective population mean is approximately 0.01, assuming that the confidence intervals were constructed using a 90% confidence level.

Similarly, the probability that both intervals contain their respective population means can be calculated as:

P(both intervals contain their respective population means) = P(CI_A contains true mean for Population A) * P(CI_B contains true mean for Population B)

= 0.9 * 0.9

= 0.81

Therefore, the probability that both intervals contain their respective population means is approximately 0.81, assuming that the confidence intervals were constructed using a 90% confidence level.

To learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

C  or A

Step-by-step explanation:

I think this is write

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-14})\qquad (\stackrel{x_2}{h}~,~\stackrel{y_2}{28}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{28}-\stackrel{y1}{(-14)}}}{\underset{run} {\underset{x_2}{h}-\underset{x_1}{(-2)}}} \implies \cfrac{28 +14}{h +2}~~ = ~~\text{\LARGE 6}\implies \cfrac{42}{h+2}=6 \\\\\\ 42=6h+12\implies 30=6h\implies \cfrac{30}{6}=h\implies \boxed{5=h}\)

Answer:

1.)  1 ,2, 31, 62

2.)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1.)  1x62= 62

2x31= 62

31x2= 62

62x1=62

Each of these number are a multiple of 62.

2.) 1x45=45

3x15=45

5x9= 45

9x5= 45

3.) 420÷2= 210

420÷3= 140

420÷5= 84

420÷6= 70

420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420

540÷2= 270

540÷3= 180

540÷5= 108

540÷6= 90

540÷9= 60

540÷10= 54

2, 3, 5, 6, 9 and 10 is divisible by all of these numbers

Answer:

1)  1 ,2, 31, 62

2)  1, 3, 5, 9

3.) 540

Step-by-step explanation:

1)  62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.

2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.

3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list.  The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.

-kiniwih426

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

To learn more about Mechanical Advantage visit:

brainly.com/question/24056098

#SPJ11

Answer:

3 < x < 17

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17 ← is the range of values for the third side

The correct option is 20.

The score found for the sample is 20.

A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.

Now, according to the question;

Sample mean; \(\bar{x}=40\)

Sample variance; \(s^{2}=20\)

Thus, \(s=\sqrt{20}=4.47\)

Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

\(S E=\frac{s}{\sqrt{n}}\)

We might rearrange the formula as follows:

\(\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}\)

Substituting the values;

\(\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}\)

The sample's number of scores n = 19.98 = 20 (round up)

Therefore, the scores are in the sample is 20.

To know more about the Standard error, here

https://brainly.com/question/14467769

#SPJ4

12% × 34 = 4.08

34% × 12 = 4.08

Sam is the one who's correct

Answer: 44 possible outcomes

Step-by-step explanation:

Multiply the number of games by the number of outcomes to find how many possibilities.

22 games * 2 outcomes = 44 possibilities

Interpreting the situation, it is found that there are 23 possible outcomes for the season record.

For each game, there are two possible outcomes.

In this problem, there are 22 games, hence 23 possible outcomes.

A similar problem is given at https://brainly.com/question/18599661

Using the distributive property to generate an equivalent expression of 2(x+5) as equal to 2x+5, the mistake the student made was 2. 2 was not multiplied by 5.

According to the distributive property, multiplying the sum of two or more addends by a number results similarly as multiplying each addend individually by the number and then adding the products together.

For instance, in the expression, 2(x + 5), the equivalent expression should be 2x + 10 instead of 2x + 5.

Thus, we can conclude that the student erred by failing to multiply 2 by 5 as they multiplied 2 by x, which means that they did not apply the distributive property properly.

Learn more about the distributive property of multiplication at https://brainly.com/question/2807928

#SPJ1

The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n

This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.

For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:

After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)

To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.

We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10

This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,

we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.

For such more question on technology

https://brainly.com/question/7788080

#SPJ8

[a] Answer: y = 20x + 50

Step-by-step explanation:

    We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.

    y = 20x + 50

[b] Answer: (3, 110)

Step-by-step explanation:

    Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.

    Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).

[c] Answer: 10 weeks

Step-by-step explanation:

    Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.

    This is at (10, 250), or 10 weeks.

The composite figure can be decomposed into a triangle, a rectangle, and a semicircle to determine its area.

To decompose the composite figure and determine its area, we can break it down into simpler geometric shapes based on its components. In this case, the composite figure consists of a semicircle, a small rectangle, and a triangle.

We can decompose the figure as a triangle, a rectangle, and a semicircle. Here's how:

Triangle: The upper part of the figure is a triangle. Calculate its area using the formula A = (base * height) / 2, where the base and height are the appropriate measurements.

Rectangle: The small rectangle connects the semicircle to the triangle. Find its area by multiplying the length and width.

Semicircle: The bottom part of the figure is a semicircle. Calculate its area using the formula A = (π * r^2) / 2, where r is the radius of the semicircle.

Once you have determined the areas of each individual shape, add them together to find the total area of the composite figure.

For more questions on triangle

https://brainly.com/question/17335144

#SPJ8

The exact value of \(\(\cos \left(\frac{5\pi}{24}\right) \cos \left(\frac{13\pi}{24}\right)\) is \(\frac{1 - \sqrt{2}}{4}\)\), obtained by using the product-to-sum identity and evaluating cosine values from the unit circle or reference angles.

The exact value of the expression \(\(\cos \left(\frac{5\pi}{24}\right) \cos \left(\frac{13\pi}{24}\right)\)\) can be determined by using the product-to-sum identity and the known values of cosine.

The product-to-sum identity states that \(\(\cos(A) \cos(B) = \frac{1}{2}[\cos(A + B) + \cos(A - B)]\).\)

Using this identity, we can rewrite the given expression as:

\(\[\cos \left(\frac{5\pi}{24}\right) \cos \left(\frac{13\pi}{24}\right) = \frac{1}{2}\left[\cos \left(\frac{5\pi}{24} + \frac{13\pi}{24}\right) + \cos \left(\frac{5\pi}{24} - \frac{13\pi}{24}\right)\right]\]\)

Simplifying the arguments of cosine, we have:

\(\[\frac{1}{2}\left[\cos \left(\frac{18\pi}{24}\right) + \cos \left(-\frac{8\pi}{24}\right)\right]\]\)

Further simplifying, we get:

\(\[\frac{1}{2}\left[\cos \left(\frac{3\pi}{4}\right) + \cos \left(-\frac{\pi}{3}\right)\right]\]\)

The exact values of cosine at \(\(\frac{3\pi}{4}\) and \(-\frac{\pi}{3}\)\) can be determined from the unit circle or reference angles.

Finally, substituting these values, we find:

\(\[\frac{1}{2}\left[-\frac{\sqrt{2}}{2} + \frac{1}{2}\right] = \boxed{\frac{1 - \sqrt{2}}{4}}\]\)

Therefore, the exact value of the expression is \(\(\frac{1 - \sqrt{2}}{4}\).\)

To learn more about product-to-sum identity click here: brainly.com/question/12328407

#SPJ11

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

Learn more on two-dimensional motion here: https://brainly.com/question/31370681

#SPJ4

Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

For more such questions on function

https://brainly.com/question/29631554

#SPJ8

All of the statements that could correctly describe the null hypothesis include the following:

B. We either reject or fail to reject it, we cannot say that we except it or that it is true.

D. It is developed for testing purposes.

In Statistics, hypothesis testing can be defined as a procedure based on sample evidence and probability to see if a hypothesis is a reasonable statement.

In Mathematics, a null hypothesis is denoted by the symbol H₀ and it can be defined the opposite of an alternate hypothesis (Ha). Additionally, a null hypothesis is a statistical interference technique which asserts that two (2) possibilities are the same.

Generally speaking, the characteristics of a null hypothesis include the following:

Read more on null hypothesis here: https://brainly.com/question/14913351

#SPJ1

There are 165 ways for Jenni to choose a group of 3 kittens from a litter of 11.

To determine the number of ways Jenni can choose a group of 3 kittens from a litter of 11, we can use the concept of combinations.

A combination is a selection of objects where the order does not matter.

In this case, we want to select 3 kittens from a group of 11.

The formula for combinations is given by C(n, r), where n represents the total number of objects and r represents the number of objects to be selected.

Using the formula, we can calculate the number of ways Jenni can choose 3 kittens from a group of 11 as C(11, 3).

Evaluating this expression, we get:

C(11, 3) = 11! / (3! × (11 - 3)!)

= 11! / (3! × 8!)

Here, the exclamation mark (!) represents the factorial operation, which means multiplying a number by all the positive integers less than it down to 1.

Simplifying the expression further, we get:

C(11, 3) = (11 × 10 × 9) / (3 × 2 × 1)

= 165

Therefore, there are 165 ways for Jenni to choose a group of 3 kittens from a litter of 11.

Learn more about combinations here:

https://brainly.com/question/28065038

#SPJ11

P(B) = 0.7

To determine the value of P(B) using P(An B) = 0.21 and P(A/B) = 0.3,

Let us first use Bayes' Theorem to find the value of P(B/A).

Bayes' Theorem is:

P(B/A) = P(A/B) P(B) / P(A)

We know that P(A/B) = 0.3

and that P(B) is what we need to find.

We also know that:

P(A/B) P(B) + P(A/Not B) P(Not B) = P(A)

Therefore, to find P(B), we need to solve for P(A/Not B), which can be done using:

P(A/Not B) = P(An Not B) / P(Not B)

We can then substitute these values into the equation above to get:

P(A/B) P(B) + [P(An Not B) / P(Not B)] P(Not B) = P(A)

Simplifying, we get:

0.3 P(B) + P(An Not B) = P(A)0.3 P(B) + [P(A) - P(An B)] = P(A)0.3 P(B) + P(A) - P(An B) = P(A)0.3 P(B) = P(An B)P(B) = P(An B) / 0.3P(B) = 0.21 / 0.3P(B) = 0.7

Therefore, P(B) = 0.7.

To know more about Bayes' Theorem , click here:

https://brainly.com/question/14989160

#SPJ11

Answer:

1) x = 10

m<LOH = 55

m<GOH = 85

m< KOG = 40

2) x = 3

m<CQR = 22

m<BQC = 53

m< AQB = 33

m< PQA = 72

3) x = 45

m<TYZ = 41

m<XYT = 49

m< SYX = 90

m< XYZ = 90

4) x = 7

m < KJL = 30

m< NJK = 50

m< MJL = 56

Step-by-step explanation:

1)

Straight line = 180°

So

4x + 15 + 9x - 15 + 4x = 180

17x + 10 = 180

x = (180-10)/17

x = 10

m<LOH = 40

m<GOH = 85

m< KOG = 55

2)

Straight line = 180°

So

7x + 1 + 56 - x + x + 30 + 24x = 180

31x + 87 = 180

x = (180 - 87) / 31

x = 3

m<CQR = 72

m<BQC = 33

m< AQB = 53

m< PQA = 22

3)

Straight line = 180°

So

2x + x + 4 + x - 4 = 180

4x = 180

x = 45

m<TYZ = 41

m<XYT = 49

m< SYX = 90

m< XYZ = 90

4)

Straight line = 180°

So

2(3x + 4) + 11x - 3 + 8x = 180

6x + 8 + 19x -3 = 180

25x + 5 = 180

x = (180 -5) / 25

x = 7

m < KJL = 30

m< NJK = 50

m< MJL = 56

I hope my answer helps you.

Answer:

y = 10x + 70

slope of 10

y-intercept of 70

Step-by-step explanation:

y = - 10x + 70.

The slope of - 10 represents the decrease in car speed in miles per hour each second after braking.

The y-intercept of 70 represents the initial speed of the car before braking.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know slope(m) of a line is (y₂ - y₁)/(x₂ - x₁).

Therefore, Slope of this line is (60 - 70)/(1 - 0).

= - 10/1.

= - 10.

Now, 60 = - 10(1) +b.

60 = - 10 + b.

b = 70.

So, The required equation of the line is y = - 10x + 70.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer:

1.5

Step-by-step explanation:

divide 88÷60=1.4666667

simplify to nearest 10th

$9.10 in all nickels is how many nickels

9.10 / 0.05

how many 5 cent pieces add up to that

182 nickels

a penny is one cent

just move the decimal place over twice

9.10

910.0

910 pennies

Hope this helps

- Jeron :- )

The given function as;

f(x) = x² - 8x + 3

f(x + h) , susbtitute x = x + h in the given expression as;

f(x+h) = (x+h)² - 8(x+h) + 3

f(x+h) = (x² + h² + 2xh) -8x - 8h + 3

f(x+h) = x² + h² + 2xh - 8x - 8h + 3

Now substitute the value of f(x+h) in the expression as;

Answer : 2x + h - 8

.........

Answer:

3:1

Step-by-step explanation: