a basketball player has made 66% of his foul shots during the season. assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his 6th attempt?

Answer:

8/40(=2/10)

20%

Step-by-step explanation:

The fractional probability is 2/10. Since we have 40 pencils, we can do the following:

(2/10)*40, which gives us 8.

Therefore, 8 pencils will be black and the percentage would be (8/40)*100 = 20%

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

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Answer:

Step-by-step explanation:

the awnser is cerrot.

Answer:

y - intercept = 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 14 ← is in slope- intercept form

with y- intercept c = 14

Step-by-step explanation:

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Type II error in this context: The chef believes the complaint rate is not less than 8%, when in fact it is less than 8%

Consequence: The chef continues to use the new recipe but experiences a large number of unsatisfied customers.

A Type II error, in the context of hypothesis testing, occurs when the null hypothesis (H₀) is not rejected even though it is false. In other words, it's the failure to reject a false null hypothesis.

In this scenario, the null hypothesis states that the complaint rate is 8%, and the alternative hypothesis (Hₐ) states that the complaint rate is less than 8%.

A Type II error would occur if the chef believes that the complaint rate is not less than 8% (failing to reject the null hypothesis), when in fact it is less than 8% (the alternative hypothesis is true).

Consequences of a Type II error in this context:

The consequence of a Type II error would be that the chef continues to use the new gluten-free recipe for the topping even though the actual complaint rate is less than 8%.

This means that the chef would miss out on an opportunity to improve the recipe and potentially satisfy more customers.

In this case, the chef might continue to experience a significant number of unsatisfied customers who might have been pleased with an improved recipe.

This could lead to negative customer reviews, loss of customer loyalty, and a potential negative impact on the restaurant's reputation and business.

To summarize:

Type II error in this context: The chef believes the complaint rate is not less than 8%, when in fact it is less than 8%.

Consequence: The chef continues to use the new recipe but experiences a large number of unsatisfied customers, potentially harming the restaurant's reputation and business.

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A Type II error in this scenario would occur if the chef wrongly assumes the complaint rate is less than 8%, leading to continued use of the disliked recipe and unsatisfied customers.

In this context, a Type II error in the chef's hypothesis test would occur if the chef believes the complaint rate for the new gluten-free recipe is less than 8%, when in fact, it is not. That means the chef is under the false impression that the customers are more satisfied with the new recipe than they truly are. The consequence would be that the chef continues to use the new recipe, despite a higher complaint rate. This would lead to a significant number of unsatisfied customers because the recipe is not meeting their taste preferences as much as the chef thinks. This could subsequently affect the restaurant's reputation and customer loyalty.

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The equation that can be used to find the value of x is 120 = (x + 5) × (120/x - 1/3).

Carmen's first trip was 120 miles, and she traveled at an average of x miles per hour. We can use the formula:

distance = rate × time, which can be written as:
120 miles = x miles/hour × time

where, time is the time for outgoing.

For the return trip, Carmen traveled at a rate that was 5 miles per hour faster, so her speed was (x + 5) miles/hour. The time for the return trip was one-third of an hour less than the time for the outgoing trip, so we can represent the return trip time as (time - 1/3) hours. Using the distance formula again for the return trip:
120 miles = (x + 5) miles/hour × (time - 1/3) hours

Now, let's express both times in terms of x. From the first equation, we can find the time for the outgoing trip as:
time = 120 miles / x miles/hour

Substitute this expression for time in the return trip equation:
120 miles = (x + 5) miles/hour × (120/x - 1/3) hours

Now you have an equation that can be used to find the value of x:
120 = (x + 5) × (120/x - 1/3)

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The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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Step-by-step explanation: To solve this inequality, we can first isolate the absolute value term on one side of the inequality by subtracting |n-2| from both sides of the inequality. This gives us the inequality -3 + |n-2| > 2. Then, we need to consider two cases: when |n-2| is positive and when |n-2| is negative.

If |n-2| is positive, then we can drop the absolute value bars and rewrite the inequality as -3 + (n-2) > 2. Solving this inequality, we find that n > 7.

If |n-2| is negative, then we must reverse the direction of the inequality because subtracting a negative number is the same as adding a positive number. This gives us the inequality -3 - (n-2) > 2. Solving this inequality, we find that n < -1.

Therefore, the solution to the inequality is the set of all numbers that are greater than 7 or less than -1, which is the interval (-1, 7).

Answer:

SOLVE FOR X

x=2

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

−

1

⋅

1

1

3

=

−

4

5

⋅

+

5

6

−

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1

3

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Answer:

George's older brother weighs 150 pounds.

Step-by-step explanation:

Let George's weight be G

Let the weight of his older brother be B.

From the question given,

George weight 60 pounds less than his older brother. This can be written as follow:

G = B – 60....... (1)

Together they weigh 240 pounds. This can be written as:

G + B = 240...... (2)

From equation (1)

G = B – 60

Substituting the value of G into equation 2, we have:

G + B = 240

G = B – 60

B – 60 + B = 240

Collect like terms

B + B = 240 + 60

2B = 300

Divide both side by 2

B = 300/2

B = 150

Therefore, George's older brother weighs 150 pounds.

**** Check ****

G = B – 60

B = 150

G = 150 – 60

G = 90

G = 90

B = 150

G + B = 240

90 + 150 = 240

240 = 240

Answer:

C

Step-by-step explanation:

Note that x is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

\(\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}\)

The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:

\(\displaystyle \sin 53^\circ = \frac{x}{15}\)

Solve for x:

\(x=15\sin 53^\circ\)

Use a calculator (make sure you're in Degrees Mode!). Hence:

\(x=11.9795...\approx 12\)

Our answer is C.

Answer:

C. 12

Step-by-step explanation:

Pythagoras Theorem

Answer: point A will stay where it is.

Step-by-step explanation: point A is the point of rotation

Answer:

Interest = $ 2247.00

Step-by-step explanation:

principal=$6600

Amount=$8847

time=4 years

Interest=Amount - principal

=$8847 - $ 6600

=$2247 =

=$2247.00

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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The total amount of commission is 660 dollars.

Given that,

3 percent on sales up to $2,000.00

Commission = 3% of 2000

= 3/100 × 2000

= $60

5 percent on sales from $2,000.00 to $4,000.00

Commission = 5% of 4000

= 5/100 × 5000

= $250

7 percent on sales over $4,000.00

Commission = 7% of 4000

= 7/100 × 5000

= $350

Total commission=60+250+350

= $660

Therefore, the total amount of commission is 660 dollars.

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Answer:

Independent variable is the measurement that that changes and the dependent variable is the result of the independent variable (aka the one that is being measured).

Step-by-step explanation:

Answer:

D !

Step-by-step explanation:

The statistical method known as analysis of variance (ANOVA) is used to examine how different means differ from one another.

When you only run an omnibus/overall anova without any post-hoc tests, you will be unable to determine which of the groups are statistically different from each other. This is because an omnibus/overall anova simply tells you whether there is a significant difference between any of the groups, but does not tell you which groups are different. Follow up tests are needed to determine which of the groups are statistically different from each other.

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Answer:

2 and 8

Step-by-step explanation:

Well. Boy A gets 1 orange, so the other must get 4. So say boy A gets 2 oranges now, so the other must get also double the amount of oranges, which is 8.

1:4

If you changed the 1 to a 2, you have x2 (you can only x or ÷, in ratio) on the other side. Whatever you do to this side, you do to the other side. So it becomes

2:8

Add the numbers together to find the total number of parts. You get 10 in this ratio, so it must be the answer.

the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

Answer:

y = -(5/4)x - (1 3/4)

Step-by-step explanation:

A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation.  This means we can write:

y = -(5/4)x + b

As klong a b is not -6, the line will be parallel.  But we are told that point (5,-8) must be on the new line.  That means we need to select a value of b to make that happen.  By shifting b, we can move the straight line up or down.  To move it so that it goes through (5,8), enter that point in the equation and solve for b:

y = -(5/4)x + b

-8 = -(5/4)*5 + b   for (5,-8)

-8 = -(25/4) + b

b = -8 + (25/4)

b = -(32/4)+(25/4)

b = -(7/4) or - 1 3/4

The parallel line that goes through (5,-8) is y = -(5/4)x - 2

Answer:

y=-5/4x-7/4

Step-by-step explanation:

The two related linear equations for |x – 2| = 5 are x - 2 = 5 and x - 2 = -5

From the question, we have the equation to be

|x - 2| = 5

This equation is an absolute value function

The general rule of an absolute value function is that:

An equation represented as y = |x| can be expressed as y = x or y = -x

Using the above guideline as a guide, we have the following representation of |x – 2| = 5

x - 2 = 5 and x - 2 = -5

Hence, the equations are x - 2 = 5 and x - 2 = -5

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Answer:

C. \( d = \frac{at^2}{2} \)

Step-by-step explanation:

Given:

\( t = \sqrt{\frac{2d}{a}} \)

Required:

Make d the subject of the formula.

SOLUTION:

\( t = \sqrt{\frac{2d}{a}} \)

Square both sides

\( t^2 = (\sqrt{\frac{2d}{a}})^2 \)

\( t^2 = \frac{2d}{a} \)

Multiply both sides by a

\( a*t^2 = \frac{2d}{a}*a \)

\( at^2 = 2d \)

Divide both sides by 2

\( \frac{at^2}{2} = \frac{2d}{2} \)

\( \frac{at^2}{2} = d \)

\( d = \frac{at^2}{2} \)

Answer:

x=10

Step-by-step explanation:

30-10=20

20/2=10

2(10)+10=30

Answer:

x=10

Don’t hold me up on this but, I think this is the answer.