when stella goes bowling, her scores are normally distributed with a mean of 185 and a standard deviation of 14. what is the probability that the next game stella bowls, her score will be higher than 185, to the nearest thousandth?
Answers
The probability that Stella will score higher than 185 in her next bowling game is approximately 0.5 (or 50%) based on the normal distribution with a mean of 185 and a standard deviation of 14.
To calculate the probability that Stella's score will be higher than 185, we need to find the area under the normal distribution curve to the right of the mean.
First, we need to standardize the score using the z-score formula:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
In this case, x = 185, μ = 185, and σ = 14.
z = (185 - 185) / 14 = 0
Next, we need to find the probability associated with the z-score using a standard normal distribution table or a statistical calculator.
Since the z-score is 0, the probability of getting a score higher than 185 is equal to the probability of getting a score below 185, which is 0.5.
Therefore, the probability that Stella will score higher than 185 in her next game is approximately 0.5 (or 50%).
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Related Questions
determine the intervals on which the graph of =()y=f(x) is concave up or concave down, and find the points of inflection.
Answers
the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.
To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.
Here's the step-by-step process to find the intervals of concavity and points of inflection:
Find the first derivative of the function, f'(x).
Find the second derivative of the function, f''(x).
Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.
Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.
Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.
Let's go through an example to illustrate this process:
Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.
Find the first derivative, f'(x):
f'(x) = 3x^2 - 6x - 9.
Find the second derivative, f''(x):
f''(x) = 6x - 6.
Set f''(x) equal to zero and solve for x:
6x - 6 = 0.
Solving for x, we get x = 1.
Therefore, the potential point of inflection is x = 1.
Determine the intervals and signs of f''(x):
Choose test points in each interval and evaluate f''(x).
Interval 1: (-∞, 1)
Choose x = 0 (test point):
f''(0) = 6(0) - 6 = -6.
Since f''(0) < 0, the graph is concave down in this interval.
Interval 2: (1, +∞)
Choose x = 2 (test point):
f''(2) = 6(2) - 6 = 6.
Since f''(2) > 0, the graph is concave up in this interval.
Check the concavity at the point of inflection:
Evaluate f''(x) on either side of x = 1.
Choose x = 0 (left side of x = 1):
f''(0) = -6.
Since f''(0) < 0, the graph is concave down on the left side of x = 1.
Choose x = 2 (right side of x = 1):
f''(2) = 6.
Since f''(2) > 0, the graph is concave up on the right side of x = 1.
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one-inch squares are cut from the corners of this inch square. what is the area in square inches of the largest square that can be fitted into the remaining space?
Answers
The area of the largest square that can fit into the remaining space is 1 inch x 1 inch = 1 square inch.
When one-inch squares are cut from the corners of an inch square, the resulting shape is a square with sides that measure (1 inch - 2 1 inch) = (1 - 2) inches = -1 inch. However, this result is illogical because a square cannot have a negative length.
Assume the problem is about cutting one-inch squares from each corner of a 3-inch square, resulting in a square with sides that are 3 - 2 = 1 inch long. In this case, the largest square that can fit into the remaining space is one with sides equal to the length of the remaining square, i.e., one with sides of length one inch.
Consider inserting a square with sides greater than 1 inch into the remaining space to see why this is the case. The square will either hang over the remaining square's edges or will not fit in it. As a result, the largest square that can fit into the remaining space has sides equal to the remaining square's length, which is 1 inch.
As a result, the area of the largest square that can fit into the remaining space is 1 inch x 1 inch = 1 square inch.
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PLS HELP WILL MARK BRAINLIEST
Point T is reflected over the y-axis. Determine the coordinates of its image.
T (2, 5)
(2, 5)
(-2, 5)
(-2, -5)
(2, -5)
Answers
Answer:
(-2, 5)
Step-by-step explanation:
If point T is at coordinates (2, 5) then the reflection should be (-2, 5).
What is the product?
43.4-3
O 0
1
4
6
Answers
Answer:
1
Step-by-step explanation:
Bob has $2,500 invested in a bank that pays 4 nnually. how long will it take for his funds to double?
Answers
To determine how long it will take for Bob's funds to double, we need to use the concept of compound interest. Compound interest is when interest is added to the initial amount, and then the interest is reinvested, resulting in additional interest in subsequent periods.
Based of the giver information it will take approximately 17.67 years for Bob's funds to double with a 4% annual interest rate.
In this case, Bob has $2,500 invested in a bank that pays 4% interest annually.
To find out how long it will take for his funds to double, we can use the formula for compound interest:
Future Value = Present Value * (1 + Interest Rate)^Number of Periods
In this case, the Future Value is twice the Present Value (double), the Present Value is $2,500, and the Interest Rate is 4% (or 0.04). We need to find the Number of Periods.
So, let's plug the values into the formula:
2 * $2,500 = $2,500 * (1 + 0.04)^Number of Periods
Now, we need to solve for the Number of Periods. Let's simplify the equation:
2 = (1 + 0.04)^Number of Periods
To solve for the Number of Periods, we can take the logarithm of both sides of the equation. Since the interest is compounded annually, we'll use the logarithm with base 1.04 (1 + 0.04):
log base 1.04 of 2 = Number of Periods
Number of Periods ≈ log base 1.04 of 2 ≈ 17.67
Therefore, it will take approximately 17.67 years for Bob's funds to double with a 4% annual interest rate.
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TRAVEL Mr. Santiago has a flight from New York to Paris that covers a distance of 3,636 miles. If the plane travels at 520 miles per hour, about how long will it take to get to Paris? Approximate
Answers
Answer: Approximately 7 hours
Step-by-step explanation:
Divide the total number of miles by the miles traveled per hour to find out how long it will take you to go from New York to Paris.
3636 / 520 = 6.99
which is approximately 7 hours
Write the number 560 in scientific notation.
Answers
Answer:
5.6 x 10 2
Step-by-step explanation:
Answer:
5.6 × \(10^{2}\) - scientific notation
hope this answer helps you.....
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
Answers
the answer
155
324
5/9 (87/3(1/12)= 155/324
Help please. If correct I’ll mark as brainliest but I rlly need help.
Answers
Answer:
46
Step-by-step explanation:
x +3x+5x - 54 = 360
x +3x+5x = 360 + 54
9x = 414
x= 46
A sequence is defined by f(0) = -3, f(n) = f(n-1) + 0.5 for n ≥ 1.
1.
Write the first five terms of this sequence, starting with term 0.
2.
Write the nth term definition of this sequence.
Answers
Answer:
1.
f(0) = -3
f(1) = f(0) + 0.5 = -3 + 0.5 = -2.5
f(2) = f(1) + 0.5 = -2.5 + 0.5 = -2
f(3) = f(2) + 0.5 = -2 + 0.5 = -1.5
f(4) = f(3) + 0.5 = -1.5 + 0.5 = -1
2.
f(n) = 0.5n - 3
This function is linear.
Jhoanna went to the Gracious Shepherd to buy snacks which is a mixture of peanuts and green peas. The peanuts and green peas are being sold there for 50 cents per 10 grams, and 80 cents per 10 grams, respectively. If she wants a kilogram of the snack for Php 62.00, what must be the composition of the mixture? A. Nuts: 650 grams, Green peas: 350 grams B. Nuts: 600 grams, Green peas: 400 grams C. Nuts: 550 grams, Green peas: 450 grams D. Nuts: 500 grams, Green peas: 500 grams
Answers
Let "x" be the number of grams of peanuts in the mixture, then "1000 − x" is the number of grams of green peas in the mixture.
The cost of peanuts per kilogram is PHP 50.00 while the cost of green peas is PHP 80.00 per kilogram.
Now, let us set up an equation for this problem:
\(\[\frac{50x}{1000}+\frac{80(1000-x)}{1000} = 62\]\)
Simplify and solve for "x":
\(\[\frac{50x}{1000}+\frac{80000-80x}{1000} = 62\]\)
\(\[50x + 80000 - 80x = 62000\]\)
\(\[-30x=-18000\]\)
\(\[x=600\]\)
Thus, the composition of the mixture must be:
Nuts: 600 grams, Green peas: 400 grams.
Therefore, the correct answer is option B.
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1230+2312 (base4) need help ASP
Answers
Answer:
3542
Step-by-step explanation:
2+0=2 . 10=30=40 . 300+200=500 1000+2000=4000
I'll give brainiest
A trapezoid is a parallelogram true a false
pls explain why
Answers
Answer:
True
Explanation:
Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with two pairs of parallel sides. ... A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.
Answer:
Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. so no
Step-by-step explanation:
1 punto
#10: Bounce with Us rents bounce houses for a flat fee of $250 and $25
per hour. Fun Inflatables charges a flat fee of $100 and $50 per hour. Write
and solve an equation to find the number of hours at which the total cost
charged by the two companies would be the same.
Answers
Answer: In 6 hours, they will be the same.
Step-by-step explanation:
The equation is...
25x + 250 = 50x + 100
when looking at an interaction plot, how can we tell if interaction may be present? group of answer choices the slopes of the two lines cross or may cross at some point we can not determine if interaction is present from an interaction plot the slopes of the two lines are parallel
Answers
When looking at an interaction plot, we can tell if interaction may be present if the slopes of the two lines cross or may cross at some point.
What does this suggest?
If the lines are parallel, there is likely no interaction between the variables. However, if the lines cross or appear to be converging or diverging, this suggests that there is an interaction effect.
The crossing or converging/diverging of the lines indicates that the effect of one variable on the outcome depends on the level of the other variable. In other words, the relationship between the variables is not additive, but rather, depends on the combination of levels of the variables.
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Why the following hypotheses are not constructed correctly.H0: μ ≤ 10; HA: μ ≥ 10A. The alternative hypothesis HA should not have the equality sign.B. The hypothesized value is not the same under the null and alternative hypotheses.C. Hypothesis testing is about a sample statistic.
Answers
The reason why the following hypotheses are not constructed correctly is because of option B. The hypothesized value is not the same under the null and alternative hypotheses.
In hypothesis testing, the null hypothesis (H0) and the alternative hypothesis (HA) should have the same hypothesized value, but with opposite signs. In this case, the hypothesized value is 10, but the signs are not opposite. The null hypothesis has a less than or equal to sign (≤) and the alternative hypothesis has a greater than or equal to sign (≥). This means that there is overlap between the two hypotheses, which is not correct.
The correct way to construct the hypotheses would be:
H0: μ ≤ 10; HA: μ > 10
or
H0: μ ≥ 10; HA: μ < 10
Option A is incorrect because the alternative hypothesis can have the equality sign if the null hypothesis does not have it. Option C is also incorrect because hypothesis testing is about a population parameter, not a sample statistic.
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raise 5 to the 4th power, then find the difference of the result and y
Answers
Answer: 625
Step-by-step explanation:
I'm not sure what you mean by the result of y, however...
5^4 = 625
I'm not sure if this is helpful, sorry
What’s 5777 divided by 160?
Answers
5777 divided by 160 is 36.10625.
the data is given in the the question is as follows:
5777 divided by 16 , that means, 5777 / 160 = 36.10625
36.10625
160| 5777
- 5760
170
- 160
1000
- 960
400
- 320
800
- 800
000
Division is just opposite of the multiplication . There are four basic operations in mathematics and division is from one the basic operations . the four operation are addition, subtraction , multiplication , division. Division is used when we split the large groups into the smaller one , so that each group will have equal items. there are different types of method used for division. the above one is the chunking method or in simple word repeated subtraction method.
Thus, 5777 divided by 160 is 36.10625.
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Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answers
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
Dennis is 55 5/6 inches tall. Dwight is 1 1/3 inches shorter than Dennis and Jane is 1 1/4 inches shorter than Dwight. How tall is Jane?
Answers
Answer:
53 1/4
Step-by-step explanation:
55 5/6 - 1 1/3 - 1 1/4 Rewrite with a common denominator
55 10/12 - 1 4/12 - 1 3/12
55 10/12 - 1 4/12 = 54 6/12
54 6/12 - 1 3/12
53 3/12
53 1/4
Please help me with parts C and D, I’m struggling with them
Answers
ANSWER
\(\begin{gathered} c)s\imaginaryI n\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7})} \\ decimal=0.49 \\ d)cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\frac{\sqrt{13}}{7}+1)} \\ decimal=0.87 \end{gathered}\)EXPLANATION
Given;
\(\begin{gathered} sin\theta=\frac{6}{7} \\ 0<\theta<\frac{\pi}{2} \end{gathered}\)c) Hence;
\(\begin{gathered} sin\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7}}) \\ \end{gathered}\)In decimal form;
\(sin\frac{\theta}{2}=0.49\)d)
\(\begin{gathered} cos\theta=\frac{\sqrt{13}}{7} \\ cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\sqrt{\frac{13}{7}+1})} \\ decimal=0.87 \end{gathered}\)Choose the expression that would best fit the situation below:
Andy walked down five flights of stairs, and then he walked back up three floors.
Answers
The expression that would best fit the situation is: "Andy descended five flights of stairs, and then ascended three floors."
What is Algebraic expression ?
An algebraic expression is a mathematical phrase that can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions are used to represent and solve problems in many areas of mathematics, science, engineering, and finance.
Andy walked down five flights of stairs, and then he walked back up three floors.
The expression that would best fit the situation would be:
Andy descended five flights of stairs, and then ascended three floors.
Therefore, the expression that would best fit the situation is: "Andy descended five flights of stairs, and then ascended three floors."
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A used car lot sold 84 vehicles last month, and 8 of them were minivans. What is the experimental probability that the next vehicle sold will be a minivan?
Write your answer as a fraction or whole number.
Answers
Answer:
2/21
simplify 8/84
Answer:
The experimental probability of the next vehicle sold being a minivan is 8/84 = 1/10.
Step-by-step explanation:
The experimental probability of an event can be calculated by dividing the number of successful outcomes by the total number of trials. In this case, we want to find the probability of selling a minivan, so we want to find the number of minivans sold divided by the total number of vehicles sold.
Therefore, the experimental probability can be calculated as follows:
Number of minivans sold / Total number of vehicles sold = 8 / 84
So, the experimental probability that the next vehicle sold will be a minivan is 8/84.
WILL GIVE BRAINLIEST!!
TO CORRECT ANSWER.
You have four credit cards. Each has a balance of $950. 00, but their credit limits are $1,200. 00, $2,200. 00, $2,400. 00, and $3,000. 0. Paying off and closing which card would decrease your debt ratio?
A) $3,000. 00 limit
B) $2,400. 00 limit
C) $2,200. 00 limit
D) $1,200. 00 limit
Answers
Answer:
Im not too sure but it might be d?
Kelly answered 3 items on a test incorrectly. This was 6% of the items. How many items were on the test?
Answers
Answer:
50
Step-by-step explanation:
6/100=3/y
Let y be the total number of items on the test
[cross multiply]
6×y =3×100
6y = 300
divide both sides by 6
y = 50
A box with a square base, and no top made of a square piece by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 6480 in3. How big a piece of cardboard is needed?
Answers
46 inches big piece of cardboard is needed.
A square box is a three-dimensional object with the shape of a cube.
As per the question,
Let the piece of cardboard = x inchesSide of the square( after cutting 5 in. from each corner ) = x - 10Height of the box( when folded ) = 5The volume of the box = 6480 in³We know that,
V = h × w × l → 1
where, V = volume of the box
h = height of the box
w = width of the box
l = length of the box
Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,
⇒ 5 × ( x - 10 ) × ( x - 10 ) = 6480
⇒ 5 × ( x² - 10x - 10x + 100 ) = 6480
⇒ 5 × ( x² - 20x + 100 ) = 6480
⇒ 5x² - 100x + 500 = 6480
⇒ 5x² - 100x = 6480 - 500
⇒ 5x² - 100x = 5980
⇒ 5x² - 100x - 5980 = 0
⇒ 5 ( x² - 50x - 1196 ) = 0
⇒ x² - 50x - 1196 = 0
By solving the equation x² - 50x - 1196 = 0 we get,
x = 46 and -26
⇒ We eliminate x = -26 since it is a negative value
⇒ We consider the positive value x = 46.
Therefore, 46 × 46 inches is the dimensions of the square card box.
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A farmer wants to test 3 different pesticides to determine which one helps his crops grow the best. He tests 10 of each of his cropst corn, beans tomatoes and peppers a. The population for this study is ____. b. The sample for this study is ____. . c) The sampling technique used in this study is ____.
Answers
Answer:
Step-by-step explanation:
a) The population for this study would be all of the crops that the farmer grows on his farm, which includes corn, beans, tomatoes, and peppers.
b) The sample for this study is the 10 plants of each crop that the farmer chose to test the different pesticides on.
c) The sampling technique used in this study is convenience sampling, as the farmer selected the plants that were most easily accessible to him for the experiment.
However, this may not necessarily represent the entire population accurately, as other factors such as soil quality and weather conditions may also influence crop growth.
It would be ideal to use a randomized sampling technique to ensure that the results are representative of the entire population.
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Baby lisa automatically turns her head in the direction of a touch on the cheek. This is the _____ reflex.
Answers
Turning of head is rooting reflex.
Reflex is defined as the action which is performed without thought. In other words, it is an unconscious behaviour or involuntary movement. Newborns have different reflexes such as rooting reflex, moro reflex, stepping reflex, tonic neck reflex and grasp reflex.
Rooting reflex acts on touch. Based on this, babies feed themself. They start sucking when the roof of their mouth is touched. Moro reflex occurs on sudden sound or movement of high intensity. Tonic neck reflex results in fencing position of baby. Grasp reflex is seen when baby closes their fingers and stepping reflex concerns legs.
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were the results of the simple and the multiple linear regression tests different? if yes, how so?
Answers
A simple linear regression model only includes one independent variable, while a multiple linear regression model includes two or more independent variables. The purpose of both models is to examine the relationship between the dependent variable and the independent variable(s) and to make predictions based on that relationship.
If the same dependent variable and independent variable(s) were used in both the simple and multiple linear regression tests, then it is possible that the results could be different. The multiple linear regression model may provide a more accurate prediction of the dependent variable since it takes into account multiple independent variables. Overall, without more information about the data and the specific models used, it is difficult to determine whether the results of the simple and multiple linear regression tests were different or not.
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The scores on a mathematics exam have a mean of 73 and a standard deviation of 6. Find the x-value that corresponds to thez-score negative 1.645. Round the answer to the nearest tenth.
Answers
The x-value that corresponds to the z-score of -1.645 is approximately 63.1, rounded to the nearest tenth.
To find the x-value that corresponds to a given z-score, we use the formula:
z = (x - μ) / σ
Where z is the z-score, x is the corresponding x-value, μ is the mean, and σ is the standard deviation.
In this case, we know that:
μ = 73
σ = 6
z = -1.645
Plugging these values into the formula, we get:
-1.645 = (x - 73) / 6
To solve for x, we can first multiply both sides by 6:
-9.87 = x - 73
Then, we can add 73 to both sides:
x = 63.13
So the x-value that corresponds to the z-score of -1.645 is approximately 63.1, rounded to the nearest tenth.
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