she will score 100 % between 158 and 242.
What is a standard deviation?
The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Here, we have
Given: When Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14.
we have to find the percentage of the games that Julia bowls she scores between 158 and 242.
Mean = 200
she scores between 158 and 242
(158 - 200)/14 = - 3
(242 - 200)/14 = 3
Hence her score lies within - 3SD to + 3SD
As per the empirical rule
100 % of data lies within - 3SD to + 3SD
Hence, she will score 100 % between 158 and 242.
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9. There were 15 questions on the last quiz in
Mrs. Lorenzo's class. A student answered
13 questions correctly. Write the ratio of
correct answers to total questions as a
decimal. (Lesson 1)
Answer:
13:15
1:1.5
0.5:0.575;is the ratio of
correct answers to total questions as a
decimal.
Find the unit vector (in component form)
12) a = (12, -35)
Unit vector in the direction of a
Proofs For Geometry need at least 7 proofs
The given result ∠Q = ∠S is proved by the criteria of two congruent triangles.
What are the criteria for congruent triangles?Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.
The given triangle shows the following information,
R is the midpoint of QS. It implies that QR = QS.
And, PQ = PS
Now, the relation between ΔPQR and ΔPRS is shown as follows,
In ΔPQR and ΔPRS
PQ = PS (Given information)
PR = PR (Common sides)
QR = RS (R is the midpoint)
Thus, ΔPQR ≅ ΔPRS by SSS criteria.
Since for two congruent triangles, the corresponding sides and angles are equal. For the given triangles ∠Q = ∠S.
Hence, it is proved that ∠Q = ∠S as triangles ΔPQR ≅ ΔPRS.
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HELP ME HELP ME!!!! WHAT IS 1+1
Freshman and sophomores were surveyed during lunch about their favorite professional football team.
A bar graph with the first bar labeled Jaguars, divided into freshmen from 0 to 40 percent and sophomores from 40 to 100 percent. The second bar is labeled Dolphins, with freshman from 0 to 45 percent and sophomores from 45 to 100 percent, and the third bar is labeled Buccaneers, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent.
If 140 students selected Jaguars, how many of those students are freshman?
56 students
63 students
77 students
84 students
With the use of proportions, it was discovered that (D) 96 of the 160 students who chose the Jaguars as their favorite team were sophomores.
What are proportions?A percentage is a component of the total amount, and the three-step rule is used to relate the measurements.
This makes it possible to construct direct or inverse proportional relationships between variables to find the necessary measures in the issue.
When determining if two ratios or fractions are equivalent, the proportion formula is utilized.
By dividing the supplied values, we may determine the missing value.
So, we know that 160 students chose the Jaguars as their favorite team for this issue.
Given that 100 - 40 = 60% of the students in the bar graph were sophomores, the number of sophomores who support the Jaguars is as follows:
96 students are 0.6 times 160.
Therefore, with the use of proportions, it was discovered that (D) 96 of the 160 students who chose the Jaguars as their favorite team was sophomores.
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Complete question:
Freshmen and sophomores were surveyed during lunch about their favorite professional football team.
A bar graph with the first bar labeled Jaguars, divided into freshmen from 0 to 40 percent and sophomores from 40 to 100 percent. The second bar is labeled Dolphins, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent, and the third bar is labeled Buccaneers, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent.
If 160 students selected Jaguars, how many of those students are sophomores?
a. 64 students
b. 72 students
c. 88 students
d. 96 students
does anyone know what the sum of y and 4 is but as an expresion
The ratio of Pablo's age to Richard's age is 6: 7. The ratio of Pablo's age to Tristan's age is
5: 4. Find the ratio of Pablo's age to Richard's age to Tristan's age.
Answer:
The ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.
Step-by-step explanation:
The ratio of Pablo's age to Richard's age is 6: 7 and the ratio of Pablo's age to Tristan's age is 5: 4. To find the ratio of Pablo's age to Richard's age to Tristan's age, we can first find the ratio of Richard's age to Tristan's age by multiplying the ratios of Pablo's age to Richard's age and Pablo's age to Tristan's age. The product of these ratios is 6/7 * 5/4 = 30/28. Since the ratio of Pablo's age to Richard's age is 6:7, we can add this ratio to the ratio of Richard's age to Tristan's age to find the ratio of Pablo's age to Richard's age to Tristan's age. Thus, the ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.
Spiral Review
Find the slope of the line that passes through the points. Need a review? Go back to lesson 3.2 or use the formula below.
If necessary, leave your answer as a fraction, not a mixed number.
a. (-1, 7) and (5, 7)
b. (1, 2) and (5, 0)
NEED HELP NOW!!
Answer: b
Step-by-step explanation:
becuase of the fromula
-12 + = 8
I need help with this one
Answer:20
Step-by-step explanation:
Answer:
Step-by-step explanation:
-12+8=
-4
you would subtract 12 and 8 and then you'd get 4 but you'd put a negative sign with it because 12 is negative.
suppose 30% of all households in a certain town own 3 or more vehicles. what is the probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles?
X ~ Bin ( n , p)
The probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles is 0.90931
What is mean and standard deviation?
Continuous data, not categorical data, are summarised using the standard deviation in conjunction with the mean. Additionally, the standard deviation, like the mean, is typically only acceptable when the continuous data does not have outliers or is not highly skewed.A common way to assess variability in statistics is the standard deviation (SD). It displays the degree of variance from the average (mean). When the SD is low, the data tend to be close to the mean, while when it is high, the data are dispersed over a wide range of values.Using Normal Approximation to Binomial
Mean = n * P = ( 60 * 0.3 ) = 18
Variance = n * P * Q = ( 60 * 0.3 * 0.7 ) = 12.6
Standard deviation = √(variance) = √(12.6) = 3.5496
P ( X = 20 )
Using continuity correction
P( n - 0.5 < X < n + 0.5 )
= P ( 20 - 0.5 < X < 20 + 0.5 )
= P ( 19.5 < X < 20.5 )
Using EXCEL,
P ( 19.5 < X < 20.5 )
= P(X < 20.5) - P(X < 19.5)
= BINOM.DIST ( 20.5 , 60 , 0.30, TRUE) - BINOM.DIST ( 19.5 , 60 , 0.30, TRUE)
= 0.7622 - 0.66916
= 0.0931
Hence, the probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles is 0.90931
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Jerry makes souvenirs to sell in his shop. For one batch of souvenirs, he spends 200 dollars for materials and hopes to make 1,000 dollars in profit. He writes the equation pn−200 = 1,000 to represent the price, p, in dollars, for each souvenir and the number of souvenirs, n, that he needs to sell to make 1,000 dollars in profit. He knows that he can make at most 400 souvenirs from the materials.
To make 1,000 dollars in profit, he needs to sell each souvenir with a price of $3.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
pn−200 = 1,000
Substitute n =400
400p - 200= 1000
400p = 1000 + 200 = 1200
p= 1200/400 = 3
=> To make 1,000 dollars in profit, he needs to sell each souvenir with a price of $3.
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Which graph represents the function f(x) = -|x + 3|?
Answer: i think
Step-by-step explanation:
Answer:
Graph B!!!!
On Edge 2023 Quiz
Step-by-step explanation:
Suppose the odds of rain today are 5:9
What would be the probability that it will rain today?
The probability is the odds thus the probability it will rain today will be 5/9.
What is probability?Probability is also known as chance because, if you flip a coin, the chance that it will strike on its head or tail is just a chance that either a head will make an appearance or not.
As per the given,
The odds of rain today are 5:9
Odds will be the equivalent of probability because probabilities is the same as chances.
The probability will be 5/9 or 5:9.
Hence "Since probability implies odds, so possible that it will rain tonight is 5/9.".
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I really don't know where to start with this, but you have to solve for x.
(2x-90)+(2x-90)+x=180
Answer:
x = 72
Step-by-step explanation:
We first remove the parenthesis
2x-90+2x-90+x = 180
Group like terms
2x+2x+x-90-90 = 180
Add the like terms with each other
5x-180 = 180
Add 180 to both sides to cancel the -180 on the left side of the equation
5x = 180+180 = 360
We then divide 360 by 5 to get 72 as x
Compare the square root of 30 and fifty ninths using >, <, or =.
fifty ninths is less than the square root of 30
the square root of 30 is less than fifty ninths
fifty ninths is equal to the square root of 30
the square root of 30 is greater than fifty ninths
The square root of 30 is less than fifty-ninths mathematically it can be written as √30<√59. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the numbers are the square root of 30 and the square root of 59. The values will be compared below,
√30 = 4.8
√59 = 7.68
The inequality will be written as,
√30<√59
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Jackie has 4 red blocks and 5 blue blocks that weigh 75 ounces. Sam has 4 red blocks and 4 blue blocks that
weigh 65 ounces. How much does the red block weigh? How much does the blue block weigh? Write a let
statement for each variable below, write a system of equations, then solve the system.
Answer:
(6.25, 10)
Step-by-step explanation:
red = x. blue = y
Jackie: 4x + 5y = 75
Sam: 4x + 4y = 65
Solving by elimination
4x + 5y = 75
4x + 4y = 65
--------------------
(4x + 5y = 75) × -1
-4x - 5y = -75
-4x - 5y = -75
4x + 4y = 65
------------------------
-y = -10
÷-1 ÷-1
--------------
y = 10
4x + 4y = 65
4x + 4(10) = 65
4x + 40 = 65
-40 -40
--------------------
4x = 25
÷4 ÷4
-------------
x = 6.25
(6.25, 10)
Each red block weighs 6.25 ounces.
Each blue block weighs 10 ounces.
I hope this helps!
Nora invests $800 that pays simple interest at a rate of 6% per annum and $1200 that pays simple interest at a rate of 7% per annum. What is her total annual interest on these two investments?
Answer:
To find the total annual interest on Nora's two investments, we need to calculate the interest earned on each investment and then add the two amounts together. To find the interest earned on the first investment, we need to multiply the amount invested by the interest rate and the length of time the investment is held. The investment of $800 is held for one year, so the interest earned on this investment is $800 x 6% x 1 = $48. To find the interest earned on the second investment, we need to use the same formula. The investment of $1200 is also held for one year, so the interest earned on this investment is $1200 x 7% x 1 = $84. The total interest earned on both investments is $48 + $84 = $132. Therefore, Nora's total annual interest on these two investments is $132.
Step-by-step explanation:
On a coordinate plane, a parabola with a dashed boundary line opens down. It goes through (negative 8, 0), has a vertex at (negative 6, 2), and goes through (negative 4, 0). Which inequality in standard form represents the shaded region? y less-than negative x squared minus 12 x minus 32 y less-than negative one-half x squared minus 6 x minus 16 y less-than negative one-half x squared + 6 x minus 16 y less-than negative x squared + 12 x minus 32.
The inequality y < -1/2x² - 6x - 16 corresponds to the right representation.
Along with passing through (-8, 0), (-6, 2), and (-4, 0), it also has a vertex there.
We need to find its equation.
We must take into account the provided details on the parabola's properties and its points in order to choose the proper inequality to symbolize the shaded area of the parabola.
The vertex of the parabola is at (-6, 2), and it opens downward. This indicates that the equation for the parabola is of the type y = a(x - h)² + k, where (h, k) denotes the vertex.
In this case, h = -6 and k = 2.
Plugging in the values of the vertex into the equation, we have:
y = a(x - (-6))² + 2
y = a(x + 6)² + 2
Now we can use one of the points that the parabola passes through to solve for the value of 'a'.
The point (-8, 0) lies on the parabola. Substituting these values into the equation:
0 = a(-8 + 6)² + 2
0 = a(-2)² + 2
0 = 4a + 2
4a = -2
a = -1/2
Substituting the value of 'a' into the equation:
y = (-1/2)(x + 6)² + 2
Expanding and rearranging the equation:
y = (-1/2)(x² + 12x + 36) + 2
y = (-1/2)x² - 6x - 18 + 2
y = (-1/2)x² - 6x - 16
Therefore, the correct inequality that represents the shaded region is:
y < -1/2x² - 6x - 16
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Raquel is playing a game where she throws balled-up paper called a "trashball" into her trash
can. The diameter of the top of the trash can is 20 in. Raquel wants the "trashball" to have a
diameter that is the diameter of the top of the trash can.
What should the diameter of Raquel's
"trashball" be?
d= 5 in.
What should the circumference of
the "trashball" be? Use 3.14 for T.
C= ?
in.
20 in.
The diameter of Raquel's "trashball" should be equal to 5 inches.
The circumference of the "trashball" should be equal to 15.7 inches.
How to calculate the diameter of a circle?In order to calculate the circumference of Raquel's trashball, we would use the formula for the circumference of a circle. Mathematically, the circumference of a circle can be calculated by using this formula:
C = 2πr
C = πD
Where:
D represents the diameter of a circle.C represents the circumference of a circle.r represents the radius of a circle.Since Raquel wants the "trashball" to have a diameter that is 1/4 the diameter of the top of the trash can, we have;
Raquel's trashball diameter = 1/4 × diameter of the top of the trash can.
Raquel's trashball diameter = 1/4 × 20
Raquel's trashball diameter = 5 inches.
Next, we would determine the circumference of the "trashball" as follows;
C = 3.14 × 5
C = 15.7 inches.
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Answer:
Part 1 is 5 inches
Part 2 is 15.7 inches
five machines produce five plates in five hours. how much time do three machines need for three plates?
To make three plates by three machines it will take 05 minutes.
The Production Possibility Frontier (PPF) is a curve on a graph that represents the possible amount that can be produced by two products if they rely on the same finite resource for manufacturing. PPF is also known as the production possibility curve.
Given:
05 machines make 05 plates in 05 hours.
rate of 3 machines is 1 plate per minute,
1 machine makes 5 Plate in = 5 × 5 = 25 minutes.
1 machine makes makes 1 plate in = 25 ÷ 5 = 5 minutes
So, 1 machine can make 03 plates in = 5 × 3 = 15
Thus, 03 machines can make 03 plates in = 15 ÷ 3
= 5 minutes.
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The diagram shows two different forces acting on a cyclist riding a bicycle. The total mass of the cyclist and the bicycle is 120.0 kg. Based on this information, what is the acceleration of the cyclist?
Answer:
0.55 m/s²
Step-by-step explanation:
Fnet = 150 N - 84 N = 66 N
a = Fnet/m = (66 N) / (120 kg) = 0.55 m/s²
anna lisa bought two dozen apples for $\$$15.60. at that same rate, how much would three dozen of these apples cost?
Three dozen of these apples cost if Annalisa bought is equivalent to $23.40.
Given that:
Annalisa bought two dozen apples for $15.60.
Therefore, the value of one dozen apples will be calculated by dividing both values by 2.
i.e. We can say that,
Annalisa bought one dozen apples for $15.60/2 = $7.80.
So, we have to find out the value of three dozen of these apples.
Hence, we multiply both the 3 to get the cost of three dozen of apples.
Multiplying we get,
Annalisa if bought three dozen apple costs = $7.80 x 3 = $23.40.
We also know that, one dozen = 12 apples
So, three dozen = 36 apples
Therefore, we can say the cost of one apple = 23.40/36 = $0.65
Hence, it costs $23.40 for three dozen apples to Annalisa.
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The value of square root x to the 2nd power is a real and irrational number when x is equal to
Explain how you got you answer
Answer:
x
Step-by-step explanation:
square root x to the 2nd power is x
square root and 2nd power eliminate each other so it leaves you with x
hopes this helps
What is the range of this graph?
Answer: -5
Step-by-step explanation:
Let's start with what we know:
Range is the lowest point on the graph subtracted from the highest point on the graph. Therefore, in this equation, we do:
-9 - (-4) = -5
So the range is -5.
(Adding and Subtracting with Scientific Notation MC) help asap
Simplify (2.5 x 10−9) − (5.8 x 10−8). Write the final answer in scientific notation.
A)−5.55 x 10−8
B) −5.55 x 10−9
C) −3.3 x 101
D)−3.3 x 10−1
explain pls
The expression (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) simplies to -5.55 × 10⁻⁸. Option A. is the answer
How to add and subtract with Scientific Notation?
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form
Given: (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸)
In order to simplify (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) rewrite one of the expressions so that the expressions will have the same power. Then, subtract. That is:
(2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) = (0.25 x 10⁻⁸) − (5.8 x 10⁻⁸)
= (0.25 − 5.8) × 10⁻⁸
= -5.55 × 10⁻⁸
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can anyone help please !
Answer:
See pictures below
Step-by-step explanation:
Desmos is a free graphing calculator. Draw the line of the equation and then < will be everything below the line and > will be everything above the line. The portion that is shaded by both colors is the answer.
y = mx + b
The "b" part of the equation tells you the point that the graph crosses the y axis.
The "m" part is the slope. The rise over the run.
What is 2/3 of a figure?
Multiply your number by 2/3. If you have a whole number, divide it by a denominator of 1 to get a fraction.
Calculate numerator times numerator, then denominator times denominator when multiplying fractions. For instance, multiply 2/3 x 18/1 to get 36/3 in order to discover two thirds of 18.
Divide the resulting fraction by the common denominator to reduce it as necessary. For instance, 36 and 3 both have 3 as their common denominator. You get a fraction of 12/1 when you divide 36 and 3 by 3, which is equal to 12. Therefore, 12 is equal to 2/3 of 18.
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4 Mackenzie drank 6.95 fluid ounces of water
after recess. Brianna drank 1.7 more fluid ounces
of water than Mackenzie. Combined, how much
water did the girls drink?
Answer:
15.6 ounces
Step-by-step explanation:
6.95 + (6.95 + 1.7) = 15.6 ounces
You plan to put anti-theft devices on each garment in your store. You have 575 garments and it takes an employee 30 seconds to tag a garment. How many hours will it take 3 employees to tag all garments?.
The number of hours it will take 3 employees to tag all garments is 1.60 hour
How to determine the number of hours it will take 3 employees to tag all garments?.From the question, we have the following parameters that can be used in our computation:
Number of garments = 575
Time taken by an employee on a garment = 30 seconds
This means that the variation is an inverse variation
If the time taken by an employee on a garment is 30 seconds
Then the time taken by 3 employees on a garment is
Time taken = 30 seconds/3
Evaluate
Time taken = 10 seconds
For 575 garments, we have
Time taken = 10 seconds * 575
Evaluate
Time taken = 5750 seconds
Express in hours
Time taken = 1.60 hour
Hence, the time taken is 1.60 hour
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pls help I don't want to fail
Answer:
y = 3x
Step-by-step explanation:
With each x value on the table, the y value is multiplied by 3
Answer:
y=3x
Step-by-step explanation:
Each y value is equal to the corresponding x value times three.