Answer:30.3
Step-by-step explanation:
30.3% is the probability that a data value in a normal distribution is between a z-score of -1.52 and a z-score of -0.34.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
We can use a standard normal distribution table or calculator to find the probability that a data value falls between two given z-scores.
The probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is equal to the area under the standard normal distribution curve between these two z-scores. We can find this area by subtracting the area to the left of -0.34 from the area to the left of -1.52:
P(-1.52 < z < -0.34) = P(z < -0.34) - P(z < -1.52)
Using a standard normal distribution table or calculator, we can find that P(z < -0.34) is approximately 0.3665 and P(z < -1.52) is approximately 0.0643. Therefore, the probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is:
P(-1.52 < z < -0.34) = 0.3665 - 0.0643 = 0.3022
Rounding this answer to the nearest tenth of a percent, we get:
P(-1.52 < z < -0.34) ≈ 30.2%
Therefore, the closest answer choice is B, 30.3%.
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AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?
Answer:
It would be CB, BA, AC
Step-by-step explanation:
I need to change the subject to x
Answer:
h) (x+4t²)/4= 3V
x+4t²= 4*3V
x+4t²=12V
x=12V-4t²
MN=√(3x-2)
(MN)²=3x-2
3x-2=(MN)²
3x=(MN)²+2
x= [(MN)²+2]/3
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
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F(x) =∛2x g(x)=3x+1 Find (f/g) (x) Include any restrictions on the domain
Answer:
x ≠ -1/3
Step-by-step explanation:
(f/g)(x) = f(x)/g(x) = ∛2x/(3x+1)
since division by zero is undefined,
Answer:
Step-by-step explanation:
x = - 1/2
QUESTION 1 The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below. Patient A B C D E F G H I J Age (X) in Years 20 25 50 30 45 60 10 15 35 70 BP(Y) in (mmHg) 80 85 125 90 100 135 80 70 100 140 NB: Approximate to 2 decimal places Use the table to answer the questions that follow; i) Calculate the product moment correlation coefficient for the data and interpret your result. (3 Marks) ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer.
Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as Pearson's correlation or Pearson's R is most commonly used in linear regression. The formula to calculate it is:
r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]
To find the value of R:
1) Separate the values of X and Y and out them in 2 columns.
2) Add 3 more columns: for xy, x² and y²;
3) Find the values of each column;
4) Add each column;
5) Put the sum of each column in its place on the formula above;
6) Find the correlation.
i) For this question, r = 0.9645. As it's positive, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.
ii) The Senator should distribute Norvasc to the old adults groups, because, as the population grows, the death associated with high blood pressure will also grow, as explained by the correlation coefficient.
5. When Gisselle decided to stop eating junk food, she started saving more of her allowance to buy a larger bicycle. She managed to put away $6 every week for 8 weeks and found a nice used bicycle for $50. She thought that she had close to that amount in her savings jar. Did she have exactly enough for the bicycle? If not, how much extra or how much too little did she have? need help please
Answer:
She would've had 48 dollars by then, so she's short by 2 dollars
a line parrell to y=5x+9 and intersects the point (-2,-3). What is the equation of this parrell line
Answer:
\(y - 5x = 4\)
Step-by-step explanation:
\(y = 5x + 9 \\ m1 = 5 \\ since \: the \: line \: is \: parallel \: m1 = m2 \\ y - y1 = m(x - x1) \\ y - ( - 3) = 5(x - ( - 2)) \\ y + 4 = 5(x + 2) \\ y + 4 = 5x + 10 \\ y - 5x = 10 - 6 \\ y - 5x = 4\)
Find the area of the shape
The area of the given figure is 27.5 square centimeter which has a rectangle and triangles
The given figure has a rectangle and triangles
The area of rectangle is length times width
Area of rectangle =5×4
=20 square centimeter
Area of triangle =1/2×base×height
=1/2×2.5×3
=7.5/2
=3.75 square centimeter
As there are two triangle = 2(3.75)
=7.5 square centimeter
Total area = 7.5+ 20
=27.5 square centimeter
Hence, the area of the given figure is 27.5 square centimeter
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Ticket prices for 3-D movies are $10 for a child and $15 for and adult .One adult spends $55 to take a group of children to the movies.Write and solve an equation to find how many children go to the movies.Show your work
55-15=40
40÷10=4
There is one adult and 4 children going to the movies
O
X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
6
Select all table’s that represent proportional relationship between x and y
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
find the direction angle of the given vector. give your answer in degrees in the interval . round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.
The Direction Angle Of The Given Vector is θ = 59.086
Given :
The Direction Angle Of The Given Vector. V <-3,5) Give Your Answer In Degrees In The Interval [0°, 360°). round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.
what is Direction angle of vector ?
The direction angle of a vector v is the angle from the positive x -axis to v .using the arc tangent of the ratio of the vertical component of the vector and the horizontal component of the vector.
tan θ = b / a
= 5 / -3
= -5 / 3
= 1.67
θ = tan^-1 ( 1.67 )
θ = 59.086
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Do anybody know his question?
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Question 3(Multiple Choice Worth 2 points)
(Three-Column Tables LC)
PART 2
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
12 to 20
10 to 25
14 to 35
30 to 75
Which table below correctly shows these ratios in a three-column table?
Brown 20 25 35 75
Green 12 10 14 30
Total 32 35 49 105
Brown 12 10 14 75
Green 20 25 35 30
Total 30 35 44 105
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
Brown 12 25 14 30
Green 20 10 35 75
Total 42 35 49 100
Using proportional relationships, it is discovered that they will cover 32 miles overall by walking 12 laps and running 20 laps.
For the second issue, the appropriate response is:
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
What is a direct proportional relationship?
In a direct proportional connection, the output variable is determined by multiplying the input variable by the proportionality constant, k, as in the example below:
y = kx.
For the first question, we have that out of a total distance of 8 miles, they:
Walk 3/8 of the distance.
Run 5/8 of the distance.
Hence the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
For a total distance of 32 miles, the distances walked and ran are given as follows:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.
Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.
For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.
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What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
when you combine all the baking soda recipes from the recipes that use exactly 1 1/4 teaspoons how much baking soda will you have in all
Answer:
When you combine all the baking soda recipes from the recipes that use exactly 1 1/4 teaspoons, you will have the same amount of baking soda that was used in all the recipes.
Step-by-step explanation:
In other words, if you have X number of recipes that each use 1 1/4 teaspoons of baking soda, you will have X*1.25 teaspoons of baking soda in total.
It is important to notice that the question is asking about the amount of baking soda used in those exact recipes that calls for 1 1/4 teaspoons and not about the total amount of baking soda you would end up with after making all the recipes. Therefore, the total amount of baking soda you would have after making all the recipes would depend on how much was used in each recipe and how many were made .
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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3600
in standard
form
Answer:
3.6 x 10^3
Step-by-step explanation:
math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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NO LINKS!! Please help me
Answer:
\(\textsf{b)} \quad -\dfrac{\sqrt{7}}{4}\)
Step-by-step explanation:
Trigonometric ratios
\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.H is the hypotenuse (the side opposite the right angle).\(\textsf{If}\; \cos(\theta)=-\dfrac{3}{4} \implies \sf A=3 \; \textsf{and} \; H=4.\)
Use Pythagoras Theorem to calculate the length of the opposite side:
\(\sf \implies O^2+A^2=H^2\)
\(\implies \sf O=\sqrt{H^2-A^2}\)
\(\implies \textsf{O}=\sqrt{4^2-3^2}\)
\(\implies \textsf{O}=\sqrt{7}\)
Therefore, substituting the values of O and H into the sine ratio:
\(\implies \sin\theta=\dfrac{\sqrt{7}}{4}\)
As the terminal side of the angle is in Quadrant III, and sine is negative in Quadrants III and IV, the exact value of sin(θ) is:
\(\implies \implies \sin\theta=-\dfrac{\sqrt{7}}{4}\)
Your school’s track teams have been training hard for the entire season. There is a girls’ track team and a boys’ track team. The running times for each girl and boy were recorded after each race. You will use the results to help you answer questions about fractions and mixed numbers. Use what you know about adding and subtracting fractions and mixed numbers during the project.
What is the value for X? Enter Your answer in the box.
Answer:
therefore x is 15 because it is sim up to 180
u +7 at u=9
Help!!!!
Answer:
u = 0
Step-by-step explanation:
hedh djsf
fjdg
ggf
what does, - 5/12 x 5/8
Answer:
−25/96
Step-by-step explanation:
Select the graph of the solution. Click until the correct graph appears. |x| + 1 < 3
The graph of the modulus function is plotted
Given data ,
Let the modulus function be represented as A
Now , the value of A is
| x | + 1 < 3
On simplifying the inequality , we get
Subtracting 1 on both sides , we get
| x | < 2
When x is positive or zero: In this case, the absolute value of x is equal to x itself. Therefore, we have x < 2
When x is negative: In this case, the absolute value of x is equal to -x. Therefore, we have -x < 2
Hence , the graph of function is plotted
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Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?
Answer:
$2.50
Step-by-step explanation:
8.75 / 7= 1.25
1.25 * 2 =2.50
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
What is the distance from C to B
please help me
please help due soon!!!!
The sum of all a triangle's sides' lengths is the formula for calculating a triangle's perimeter.
What is a formula of perimeter of triangle?The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet.
The sum of all a triangle's sides' lengths is the formula for calculating a triangle's perimeter.
Add the sides' lengths to find a triangle's perimeter. As an illustration, the perimeter of a triangle with sides a, b, and c is given by P = a + b + c.
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PLEASE HELP ME!!!!
Question Help Challenge Last month, Stephen's neighbors paid him to take care of their fish when they went on vacation. He spent $3 of his earnings on an afternoon snack and $17 on a new book. Afterward, he had at most $9 left. How can you best describe how much Stephen's neighbors paid him?
Answer:
stephen was paid at least $20.00001, and at most $29.
explanation:
we know he had at least $20 to spend, since that's what he spent.
we're given the information that he has at most $9 left. that means originally, he was paid no more than $29.
since kind of given, he has something left, he does have more than $20. which is why I wrote the ".00001" part. but that's a little weird, and it would be acceptable to write stephen was paid at least $20 and at most $29
What is the solution to the system of two equations shown?
{5x+2y=−1
[3x+4y=19
The solution to the system of two equations is (x,y) = (10, -25.5).
What is Equation?An equation is a mathematical statement that two expressions are equal. It is written in the form of an equality sign, which is a line with two dots on either side. The expressions on either side of the equality sign represent the same value. Equations are used to solve problems, compare quantities, and describe relationships between variables. In addition, equations are often used to describe physical laws and scientific theories.
To solve the system of equations, one must first isolate the variables by subtracting one of the equations from the other. Subtracting equation 1 from equation 2 results in equation 2 having x terms on one side and y terms on the other.
3x + 4y = 19
-5x - 2y = -1
--------------------------------
-2x = -20
Now, solve for x by dividing both sides by -2.
x = 10
Next, substitute x = 10 into equation 1 and solve for y.
5x + 2y = −1
5(10) + 2y = -1
50 + 2y = -1
2y = -51
y = -25.5
Therefore, the solution to the system of two equations is (x,y) = (10, -25.5).
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