7x = -84
Solve the equation

the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

a. To find the probability that the player will make both free throws, we simply multiply the probability of making one free throw by itself: 0.94 * 0.94 = 0.8836 (to 4 decimals).

b. To find the probability that he will make at least one free throw, we can use the complement rule. The complement of making at least one free throw is missing both free throws, so we can find the probability of missing both free throws and subtract that from 1: 1 - 0.06 * 0.06 = 0.9964 (to 4 decimals).

c. To find the probability that he will miss both free throws, we multiply the probability of missing one free throw by itself: 0.06 * 0.06 = 0.0036 (to 4 decimals).

d. For the team's worst free throw shooter who makes 56% of his free throws, the probabilities are as follows:

a. The probability of making both free throws is 0.56 * 0.56 = 0.3136.

b. The probability of making at least one free throw is 1 - the probability of missing both free throws: 1 - 0.44 * 0.44 = 0.8044.

c. The probability of missing both free throws is 0.44 * 0.44 = 0.1936.

Comparing the probabilities for the two players, we can see that intentionally fouling the worst free throw shooter is a better strategy. This is because the probability of him missing both free throws is higher (0.1936 vs. 0.0036), which means the opposing team has a greater chance of gaining possession of the ball. In addition, the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

To know more about  complement rule click here:

brainly.com/question/29146128

#SPJ4

a) The number of grades in the array G is 20. b) The grades greater than 70 in the array G: 83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93. c) Mean is 73.6, median is 75.5, there is no mode and the standard deviation is 17.84. d) Mean better represents the "most typical grade."

10 To determine the number of grades in the array, we can use the length function in most programming languages. In this case, since the array G is given, the number of grades is the length of the array. Therefore, the number of grades in the array G is 20.

2) To find all the grades greater than 70 in the array G, we can iterate through each element of the array and check if it is greater than 70. Here are the grades greater than 70 in the array G: [83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93].

3) To compute the mean, median, mode, and standard deviation of the grades in array G, we can use various statistical formulas and functions. Here are the calculations:

Mean: The mean is the average of the grades in the array. To calculate it, we sum up all the grades and divide by the total number of grades.

Mean = (68 + 83 + 61 + 70 + 75 + 82 + 57 + 5 + 76 + 85 + 62 + 71 + 96 + 78 + 76 + 68 + 72 + 75 + 83 + 93) / 20 = 73.6

Median: The median is the middle value of the sorted array. First, we need to sort the grades in ascending order: [5, 57, 61, 62, 68, 68, 70, 71, 72, 75, 75, 76, 76, 78, 82, 83, 83, 85, 93, 96]. Since the number of grades is even, we take the average of the two middle values, which are 75 and 76.

Median = (75 + 76) / 2 = 75.5

Mode: The mode is the value(s) that appear most frequently in the array. In the array G, there is no mode because no grade appears more than once.

Standard Deviation: The standard deviation measures the dispersion or spread of the grades. We can use the formula for population standard deviation to calculate it.

Standard Deviation = \(\sqrt{\)((\((68 - 73.6)^2\) + \((83 - 73.6)^2\) + ... + \((93 - 73.6)^2\)) / 20) ≈ 17.84

4) The measure that better represents the "most typical grade" depends on the distribution of the grades. In this case, since there is no mode (no grade appears more than once), we cannot determine a single grade that represents the most typical. However, we can say that the mean and median give us different insights. The mean takes into account all the grades and provides an average value, while the median represents the middle value and is not affected by extreme values. Therefore, if the distribution is symmetric and does not have outliers, the median may be a better representation of the most typical grade. However, if the distribution is skewed or has outliers, the median may be less representative, and the mean could be influenced by those extreme values.

To learn more about median here:

https://brainly.com/question/30891252

#SPJ4

The first and second cars are 7724 feet apart from each other.

The angle of depression is the angle we have to move your eyes downwards to look at the car from the plane. Let's start with the first car, with the 31° angle of depression. Draw an upside-down right triangle with vertices at the plane, the car, and the point 3500 feet in the air above the car (level with the plane). The vertex at the plane is 31° and the right angle is the vertex in the air above the car. The length of the leg from the car to the point in the air above the car is 3500 feet. We like to find the length of the leg from the plane to the point in the air above the car. Since the two sides involved are the legs of the triangle, use tangent:

     tan = opposite/ adjacent

⇒  tan(31°) = 3500/x

⇒ 0.60086 = 3500/x

⇒ 0.67 x = 3500            [ rounding up 0.60086 = 0.67]

⇒ x = 5223.88

That means the first car is 5223.88 feet from the point on the highway below the plane.

We can do something similar with the second car, which has an angle of depression of 53° from the plane. Again, the leg from the car to the point in the air above the car (level with the plane) is 3500 feet, the right angle is at the vertex at the point in the air above the car, and the 53° angle is at the vertex at the plane. We are looking for the length of the other leg, which runs from the plane to the point in the air above the car. Use tangent:

    tan(53°) = 3500/x

⇒ 1.327 = 3500/x

⇒ 1.4x = 3500            [ rounding 1.327 = 1.4]

⇒ x = 3500/1.4
⇒ x = 2500

That means the second car is 2500 feet from the point on the highway below the plane.

Add the two distances together to get the total distance from car to car:

5223.88 + 2500.00 = 7723.88

So, rounded to the nearest foot, the cars are 7724 feet apart.

Learn more about Vertex:

https://brainly.com/question/29030495

#SPJ4

Answer:

1/10 10% of 1

Step-by-step explanation:

3/4 0.75

0.2 20% of 1

15/10 150% of 1

14/10 1.4

Fraction: 1/10, 3/4, 3/2, 4/5

Decimal: 0.75, 0.2, 1.4

Percentage: 10%, 20%, 150%

(The answer is in the same order as the column, I did not include the boxes that were already filled in)

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

A, C, D, and E

Step-by-step explanation:

I'm sorry if they're wrong

C and D you have to multiply

Answer:

The slopes of parallel lines are equal.

Step-by-step explanation:

Two lines are parallel if their slopes are equal and they have different y-intercepts.

Answer

the answer is 13

Step-by-step explanation:

not 21, bro that one guy .. djxhfgbes

The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

In a farm, there is food to feed 300 rabbits for 60 days.

Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.

From the given data, we have the following equation:

300 * 60 = (300 - x) * 75

The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.

Solving for x, we get:

x = 150 rabbits

Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

For more such questions on rabbits, click on:

https://brainly.com/question/378897

#SPJ8

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

For more questions like Cookies click the link below:

https://brainly.com/question/26252639

#SPJ4

This polynomial has the desired zeros and lead coefficient of 1.

In order to find a degree 3 polynomial with real coefficients having zeros 5, 5 and 2i with a lead coefficient of 1, lets use the following steps.

Step 1:

Since the polynomial has real coefficients, the complex zeros must occur in conjugate pairs. So, if 2i is a zero, then -2i must also be a zero.

Step 2:

Writing out the polynomial using the zeros. Since 5 and 5 are both zeros, we can write (x-5)(x-5) = (x-5)².

Using the conjugate pair rule, we know that (x-2i)(x+2i) = x² + 4.

Step 3:

Multiplying the expressions found in step 2 to obtain the final degree 3 polynomial with real coefficients.

This gives us the polynomial

(x-5)²(x² + 4)

To know more about polynomial please visit :

https://brainly.com/question/1496352

#SPJ11

Answer:

hola bb tiene correo

Step-by-step explanation:

The probability of passing the test is 0.1719 or 17.19%.

To find the probability of passing the test, we need to calculate the probability of getting 7, 8, 9, or 10 correct answers out of 10 questions. Since each question has a 50% chance of being correct (true or false), we can use the binomial probability formula to find the probability of getting x correct answers out of 10 questions:

P(x) = (10! / (x! * (10 - x)!)) * (0.5^x) * (0.5^(10 - x))

For x = 7:

P(7) = (10! / (7! * (10 - 7)!)) * (0.5^7) * (0.5^(10 - 7)) = 0.1172

For x = 8:

P(8) = (10! / (8! * (10 - 8)!)) * (0.5^8) * (0.5^(10 - 8)) = 0.0439

For x = 9:

P(9) = (10! / (9! * (10 - 9)!)) * (0.5^9) * (0.5^(10 - 9)) = 0.0098

For x = 10:

P(10) = (10! / (10! * (10 - 10)!)) * (0.5^10) * (0.5^(10 - 10)) = 0.00098

The probability of passing the test is the sum of these probabilities:

P(passing) = P(7) + P(8) + P(9) + P(10) = 0.1172 + 0.0439 + 0.0098 + 0.00098 = 0.1719 or 17.19%

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

The correct statement regarding the best measure of center of a data-set is given as follows:

The mean is the best measure of center because there are no outliers present.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The line plot shows the number of times that each observation happened, and these observations happen in a restricted range between 1 and 7, hence there are no outliers and thus the mean is the best measure of center.

More can be learned about the mean of a data-set at https://brainly.com/question/1136789

#SPJ1

Tyler drank a total of 9 2/21 liters of water altogether.  

Tyler drank a fraction of 9 5/21 liters of water altogether. To find the total amount of water Tyler drank, we need to add the 2 3 liters of water he drank before jogging and the 3 7 liters of water he drank after jogging. To add these fractions, we need to find a common denominator, which is 21.

For the first fraction, we need to multiply both the numerator and denominator by 7 to get 14/21. For the second fraction, we need to multiply both the numerator and denominator by 3 to get 9/21. Now, we can add these two fractions:

14/21 + 9/21 = 23/21

This is an improper fraction, so we can simplify it to a mixed number by dividing the numerator by the denominator:

23 ÷ 21 = 1 remainder 2

So, Tyler drank a total of 9 2/21 liters of water altogether.

Drinking enough water is essential for staying hydrated and healthy, especially during exercise. It is recommended to drink at least 8 cups (64 ounces or 1.9 liters) of water per day, but this can vary depending on factors such as age, gender, weight, and physical activity level. Drinking enough water can help prevent dehydration, regulate body temperature, flush out toxins, and improve overall health and well-being.
 

Learn more about fraction brainly.com/question/10354322

#SPJ11

Answer:

He rented 4 movies

Step-by-step explanation:

Each movie costs $4 and if he rents 4 it'll be 4x4= $16, you then subtract the $1.00 coupon and get the total of $15

Answer:

x=166 (alt angles, m//n)

x = 166°

good luck !!!! :)

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

Learn more about residual plot here

https://brainly.com/question/2876516

#SPJ1

Answer:

\(\boxed {b = 3}\)

Step-by-step explanation:

Solve for the value of \(b\):

\(-5 (1-4b) - 5 = 34 + 7b - 1 - 4\)

-Use Distributive Property:

\(-5 (1-4b) - 5 = 34 + 7b - 1 - 4\)

\(-5 + 20b - 5 = 34 + 7b - 1 - 4\)

-Combine like terms:

\(-5 + 20b - 5 = 34 + 7b - 1 - 4\)

\(-10 + 20b = 29 + 7b\)

-Take \(7b\) and subtract it from \(20b\):

\(-10 + 20b - 7b = 29 + 7b - 7b\)

\(-10 + 13b = 29\)

-Add \(10\) on both sides:

\(-10 + 10 + 13b = 29 + 10\)

\(13b = 39\)

-Divide both sides by \(13\):

\(\frac{13b}{13} = \frac{39}{13}\)

\(\boxed {b = 3}\)

Therefore, the value of \(b\) is \(3\).

Answer:

f⁻¹(x) = 1/2x + 7

Step-by-step explanation:

To find the inverse of a function, simply switch x and y and solve for y once more.

f(x) = -2x - 14

x = -2y - 14

x + 14 = -2y

(x + 14)/2 = f⁻¹(x)

1/2x + 7 = f⁻¹(x)

Answer:

C.

Step-by-step explanation:

I think the first term in the question should be x^3.

It is C  because if we multiply the second numbers in the parentheses, -3 * +3 * -3 = + 27.

Answer:

\( \frac{14}{75 } \times \frac{15}{22} = \frac{7}{55} \)

Step-by-step explanation:

\(75 \div 15 = 5 \: 14 \div 2 = 7 \: 22 \div 2 = 11\)

The value of the fraction is given by the equation A = 7 / 55

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p = 14/75

Let the second fraction be represented as q = 15/22

Now , A = p x q

Substituting the values in the equation , we get

A = ( 14/75 ) x ( 15/22 )

A = 210 / 1650

A = 42 / 330

A = 14 / 110

A = 7/55

Therefore , the value of A is 7/55

Hence , the fraction is A = 7/55

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Step-by-step explanation:

= f( g(2) )

= 3(2x + 1) + 1

= 6x + 3 + 1

= 6x + 4

= 6(2) + 4

= 12 + 4

= 16

f(g(2)) = 16

Answer:

x + 12

x - 22

y / 13

I'm not sure if this is the answer you're looking for since multiple choice answers weren't provided but i hope this helps at least a little!

Answer:

3:5

Step-by-step explanation:

simplify it ...........

Answer:

45

Step-by-step explanation:

-6x = 45-3

-6x= 42

X = 42/-6

X= -7

The number of bacteria  in an egg salad that is left out at room temperature is 256 option D.

The bacteria would double 4 times in 2 hours, so the total number of bacteria in the egg salad would be 256.

So we have 4 bacteria after 2 hours we have,

4 x 4 x 4 x 4 = 256 bacteria.

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring.

Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution, in which you will learn about the possible results of a random experiment. To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

Learn more about Number of bacteria:

https://brainly.com/question/17068291

#SPJ4

Complete question:

There are four bacteria in an egg salad that is left out at room temperature. After two hours, how many bacteria will be in the egg salad?

- 32

- 2048

- 8

- 256

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726