(-5,8)(9,29) find the slope
Answer:
3/2
Step-by-step explanation:
29-8=21
9-(-5)=14
21/14 =3/2
What is the value of y?
Answer:
C: 88
Step-by-step explanation:
There is a triangle that contains y, 53°, and 39°. So by this, you know that y + 53 + 39 = 180 (sum of triangle angles).
y = 180 - 53 - 39
y = 88°
Hope this helps! :)
100 points.
A teacher is assessing the correlation between the number of hours spent studying and the average score on a music test. The table shows the data:
Number of hours spent studying
(x) (0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4)
Score on music test
(y) (60, 62, 64, 66, 68, 70, 72, 74, 76)
Part A: Is there any correlation between the number of hours students spent studying and the score on the music test? Justify your answer.
Part B: Write a function that best fits the data.
Part C: What does the slope and y-intercept of the plot indicate?
Part A: Yes, there is a correlation between the number of hours students spent studying and the score on the music test because As we increase the hours of studying by 0.5 hours, then the music score increases by 2.
Part B: A function that best fits the data is; y = 60 + 4x
Part C: The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.
How to find the correlation of line of best fit?We have given the table below showing the data:
Number of hours spent studying (x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on music test (y) 60 62 64 66 68 70 72 74 76
A) As we increase the hours of studying by 0.5 hours, then the music score increases by 2.
B) The function which best fits the data for the correlation from the above is; y = 60 + 4x
C) The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.
The slope of the above equation represents the rate of increase in music score with respect to an increase in the number of hours spent on studying.
The y-intercept gives the music score when the number of hours spent on studying is zero.
Read more about Line of best fit correlation at; https://brainly.com/question/1564293
#SPJ1
If the probability of being hospitalized during a year is 0.25, find the probability that no one in a family of five will be
hospitalized in a year.
The probability that no one in a family of five will be hospitalized in a year 0.2373 .
Probability is a measure of the likelihood that an event will occur. Many events cannot be predicted with complete certainty. We can only predict the probability that an event will occur .Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. The formula for probability is given by P(E) + P'(E) = 1 ...(1) where P(E) is the event will happenLet P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year
Then , using equation (1) , we get
[tex]0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75[/tex]
The probability that no one in a family of five will be hospitalized in a year is equal to [tex](P'(E))^n[/tex] where n is the number of member .
[tex](P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373[/tex]
Learn more about probability here :
https://brainly.com/question/25870256
#SPJ9
3. Simplify the expression 36+63÷9.
4. Find the product. (-3) × (-8) × (-7) × (-19) =
5. Multiply. 4.264 x 3.00273 =
Please explain how you did it i need this like right now
Answer:
3. 252
4. 3192
5. 12.80364072
Step-by-step explanation:
3. use PEMDAS so division first 63÷9=7
36*7=252
4. -3*-8=24
24*-7=-168
-168*-19=3192
5. Simply multiply and add decimal places
Active dry yeast and bread machine yeast were not available in stores during the coronavirus pandemic. Fleischmann’s attempted to staff two shifts to produce enough active dry yeast to put some yeast back on the market. If the first shift produced 1½ times as many yeast packets as the second shift, and 5,600 packets of yeast were produced during the month, how many packets of yeast were produced on each shift
Based on the rate of the production of yeast packets by the two shifts of Fleischmann’s, the packets produced in each shift were:
First shift - 3,360 packets Second shift - 2,240 packets What number of yeast packets were produced?Assuming that the number of yeast packets produced in the second shift is x, the number produced in the first shift would be:
= 1½ × x
= 1.5x
The number of yeast packets in the second shift is:
x + 1.5x = 5,600
2.5x = 5,600
x = 5,600 / 2.5
= 2,240 packets
The number of yeast packets in the first shift is:
= 2,240 x 1.5
= 3,360 packets
Find out more on solving for missing values at https://brainly.com/question/11897331.
#SPJ1
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean. Determine the mean of this test.
The value of the mean is a 33.75 in the normal distribution.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
A mean is simply defined as the average of the given set of numbers.
From the given information:
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.
Then
The interval for score = 45- 30= 15
If we divide it by the 4 standard deviations; the interval result into
= 15/4
= 3.75
Then, the standard deviation is 3.75, and
The mean = 30+ 3.75
The mean = 33.75
So, The value of the mean is a 33.75 in the normal distribution.
Learn more about mean here
https://brainly.com/question/1136789
#SPJ9
How do you know what number is missing in the
number sentence below?
24 321 = 20 000 +
+300+
+1
A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner. The missing numbers in the given number sentence are 4000 and 20.
What is Number system?A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.
The given number is
24321
This we can express in standard form as,
20000+4000+300+20+1.
The given expression is 20 000 +x+300+y+1.
If we compare the above expression with standard form of 24321 we get the values of x and y. so x is 4000 and y is 20.
The missing numbers in number sentence are 4000 and 20.
To learn more on number system click:
https://brainly.com/question/22046046
#SPJ1
Suppose that f(0)=-1 and f′(x)≤6 for all values of x. Use the Mean Value Theorem to determine how large f(4) can possibly be.
The maximum value of f(4) will be 23.
What is Mean value theorem?
Mean value theorem states that if a function f is continuous on the closed interval [a ,b] and differentiable on the open interval (a ,b), then there exists a point c in the interval (a, b) such that f'(c) is equal to the function's average rate of change over [a, b].
That is; [tex]f'(c) = \frac{f((b) - f(a)}{b - a}[/tex]
Given that;
⇒ f(0) = -1 and f′(x) ≤ 6 for all values of x.
Now, According to Mean value theorem;
[tex]f'(x) = \frac{f(4) - f(0)}{4 - 0}[/tex]
Since, f′(x) ≤ 6
Hence,
[tex]f'(x) \leq 6\\\\ \frac{f(4) - f(0)}{4 - 0}\leq 6\\\\ f(4) -(-1) \leq 24\\\\f(4) \leq 23[/tex]
So, The maximum value of f(4) will be 23.
Learn more about Mean value theorem visit:
https://brainly.com/question/25474172
#SPJ1
Sean used ¾ cup of sugar to make a dozen brownies. How much sugar is in each brownie? How many cups ?
Based on the fact that Sean made a dozen brownies with 3/4 cups of sugar, the amount of sugar in each brownie is 1 / 16 cups of sugar
How to find the quantity of sugar?A dozen brownies were made with 3/4 cups of sugar. This means that 12 brownies were made by using 3/4 cups of sugar.
To find the amount of sugar used per brownie, the formula is:
= Number of cups of sugar / Number of brownies made
Solving for the cups of sugar per brownie gives:
= 3/4 ÷ 12
= 0.75 / 12
= 0.0625
= 1 / 16 cups of sugar
Find out more problems related to cups used at https://brainly.com/question/25936585
#SPJ1
Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00. Which is the better deal? Answer the questions to find out.
What fractions do you compare to find the better deal
Answer:
11/10 and 3/4
Step-by-step explanation:
To find the better cost, you need to determine which options has a lower cost per bagel.
In a class of 32 children 18 like tennis 17 like swimming and 15 like cricket 8 like both tennis and cricket, 9 like both tennis and swimming, 6 like both tennis and cricket and 5 likes all three 1. How many like cricket only 2. How many like neither cricket tennis nor swimming 3. How many like tennis and cricket but not swimming
From the set given, the variables we look is as follows
number of children for cricket only = 6the number of children that like neither cricket tennis nor swimming is = 0the number of children that like tennis and cricket but not swimming 15How to find the required variablesCricket only
let the number of children for cricket be c = 15
cricket only = 15 - (8 - 5) - (6 - 5) - 5
= 15 - 3 - 1 - 5
= 6
neither cricket tennis nor swimming
tennis only = 18 - (8 - 5) - (9 - 5) - 5
= 18 - 3 - 4 - 5
= 6
swimming only = 17 - (6 - 5) - (9 - 5) - 5
= 17 - 1 - 4 - 5
= 7
tennis and swimming only = 9 - 5 = 4
tennis and cricket only = 8 - 5 = 3
swimming and cricket only = 6 - 5 = 1
tennis cricket and swimming = 5
cricket only = 6
neither cricket tennis nor swimming = all the children - sum of the variables found
= 32 - (6 + 6 + 7 + 4 + 3 + 1 + 5)
= 32 - (32)
= 0
tennis and cricket but not swimming
= tennis and cricket only + cricket only + tennis only
= 3 + 6 + 6
= 15
Read more on sets here: https://brainly.com/question/2166579
#SPJ1
A garden table and a bench cost $863 combined. The garden table costs $87 less than the bench. What is the cost of the bench?
Answer:
The bench costs $388.
Step-by-step explanation:
Let the cost of the bench be x
The cost of the garden table = x + 87
x + (x + 87) = 863
2x + 87 = 863
2x = 776
x = 388
The bench costs $388 and the garden table costs 388 + 87 = $475
475 + 388 = 863
In the cost function below, C(x) is the cost of producing x items. Find the average cost per item when the required number of items is produced.
C(x)x
a. 200 items b. 2000 items c. 5000 items
Find an equation of the circle that satisfies the given conditions.
endpoints of a diameter at (−1, 2) and (5, 8)
Answer:(x−3)2+ (y−5)2=5 8
Step-by-step explanation:
Lesson 19: Solutions to Inequalities in One Variable
Here is an inequality: 7x +6/2 < 3x +2
The values that are a solution to the inequality are x<-1/4.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
The inequality are
7x +6/2 < 3x +2
According to given question we have
The expression is :
7x +6/2 < 3x +2
compare like terms we get
7x +6/2 < 3x +2
7x-3x<2-3
4x<-1
Divide both sides by 4 we get,
x<-1/4
Hence, the values that are a solution to the inequality are x<-1/4.
Learn more details about inequality here:
https://brainly.com/question/20383699
#SPJ1
PLEASE HELP WILL GIVE BRAINLIEST
AND 50 POINTS
The final answer in scientific notation with the correct number of significant digits, and label with the correct units is 4.1 * 10^6 square ft
Part A: If half of the field is used to grow crops, what is the area of the portion of the field that has crops growing?The dimensions of the field are given as
Length = 3.3 * 10^3
Width = 2.5 * 10^3
From the question, we have
Half of the field is used to grow crops
This means that the area of the portion of the field that has crops growing is
Area = 1/2 * Length * Width
So, we have
Area = 1/2 * 3.3 * 10^3 * 2.5 * 10^3
Evaluate the product
Area = 4.125 * 10^6
Part B: Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units.In (a), we have
Area = 4.125 * 10^6
The units are 2 significant digits
So, the result must also have 2 significant digits
This means that
Area = 4.1 * 10^6 square ft (when approximated)
Part C: Explain how you chose the number of significant digits in the final answer.The units are 2 significant digits
So, the result must also have 2 significant digits
Read more about area at
https://brainly.com/question/25292087
#SPJ1
A 64-foot piece of siding is cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
The length of the first, second, third pieces of sidings are 8 ft, 24ft and 32 ft respectively.
How to find the length of all the pieces?The 64 ft piece of siding is cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece.
The length of the three pieces of siding can be found as follows:
x = length of the first piece
Therefore,
Second piece = 3x
Third piece = 4x
Hence,
x + 3x + 4x = 64
8x = 64
divide both sides by 8
x = 64 / 8
x = 8
Therefore, the length of all the pieces are as follows;
First piece = 8 ft
Second piece = 3(8) = 24 ft
Third piece = 4(8) = 32 ft
learn more on length here: https://brainly.com/question/12066367
#SPJ1
Solve 8x − 2(x + 1) = 7x + 8 (4 points) x = 6 x = −6 x = 10 x = −10
Answer:
x = −10
Step-by-step explanation:
8x−2(x+1)=7x+8
Step 1: Simplify both sides of the equation.
8x−2(x+1)=7x+8
8x+(−2)(x)+(−2)(1)=7x+8(Distribute)
8x+−2x+−2=7x+8
(8x+−2x)+(−2)=7x+8(Combine Like Terms)
6x+−2=7x+8
6x−2=7x+8
Step 2: Subtract 7x from both sides.
6x−2−7x=7x+8−7x
−x−2=8
Step 3: Add 2 to both sides.
−x−2+2=8+2
−x=10
Step 4: Divide both sides by -1.
−x/−1 = 10/−1
x=−10
Marla writes this problem
628 divided by 1300
Which expression represents Marla’s problem
Answer:
628/1300
Step-by-step explanation:
Is y= 2/3 (x) a linear equation
you originally had a six year loan. how long would it take you to pay off the remaining $12,825 if you paid $225 monthly
Answer:
57 Months
Step-by-step explanation:
Should take 57 months. Simple division, just divide 12,825 and 225 and you end up with 57 months. 4 years and 9 months simplified. Hope this helps.
The coordinates below represent rotations. Use what you’ve learned today to describe what type of rotation occurred
Type of rotation of Anticlockwise and clockwise .
A point in coordinate geometry can be rotated through 180 degrees around the origin by drawing an arc with a radius equal to the distance between the provided point's coordinates and the origin, and then extending an angle of 180 degrees at the origin.
The point must be rotated around the origin with regard to its location in the cartesian plane. It is nicely explained in the next part of the 180-degree rotation formula.
The formula for 180-degree rotation of a given value is as follows: if R(x, y) is a point that has to be rotated around the origin, then coordinates of R(x, y) .
To learn more about Rotation of line from the given link:
https://brainly.com/question/12417761
#SPJ9
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
5/18
Step-by-step explanation:
1/2 × 9/9 = 9/18
2/9 × 2/2 = 4/18
This means we have 9/18 and 4/18 left in the circle. Because these fractions have a common denominator, we can now subtract them from the whole to find the shaded portion:
18/18 - 9/18 - 4/18 = 5/18
The shaded portion is 5/18, which is already in simplest form.
A cube with sides 11 inches long is covered with a coat of fiberglass 0.1 inch thick. Use differentials to estimate the volume of the fiberglass shell.
The volume of the fiberglass shell is approximately __ in^3.
The volume of the fiberglass shell is nearly = 508.2 in³
What exactly is volume?Volume is just a three-dimensional quantity used to determine a solid shape's capacity. It indicates that the volume of a closed figure decides how much of three-dimensional space it can occupy.
What is the definition of volume and an example?The capa.city of an object is measured by its volume. A cup's volume is 100 ml if it can carry 100 ml of water higher than or equal to the brim. A 3-dimensional object's volume can alternatively be described as the amount much space it takes up.
According to the given data:Cube side are 11 inches.
cube is covered with a coat of fiber glass 0.1 inch
need to find the volume of fiberglass.
area of cube = 6(11)²
= 6(121)
= 726 inch².
thickness of fiberglass = 0.7 inch.
dv ≅ ads
= 726(0.7)
= 508.2 in³
The volume of the fiberglass shell is nearly = 508.2 in³.
To know more about Volume visit:
https://brainly.com/question/1578538
#SPJ9
One boxer weighs in at 91 kg. He is 100 dag heavier than his opponent. How much does his opponent weigh in kilograms ?
Answer:
unlimited is the weight
Step-by-step explanation:
Weight : 58283624946946784640469267619046404.4691649469464846404694956596894
Solve for x
-7>13-5r
Enter your answer as an inequality in the box.
Answer:
Step-by-step explanation:oooooooooooooooooooo
Answer:Move all terms not containing
x
to the right side of the inequality.
x
>
−
5
r
+
20
Step-by-step explanation:
Can someone help with this problem?✨
The equation of a line that passes through the given point (4, 3) and is perpendicular to y = 2x + 2 is given by: y = -x/2 + 5.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m represent the slope.c represent the intercept.y = mx + c ≡ y = 2x + 2
m₂ = 2
For perpendicularity, we have:
m₁ × m₂ = -1
m₁ × 2 = -1
m₁ = -1/2.
Next, we would use the point-slope form to write the equation of this line at point (4, 3):
y - y₁ = m(x - x₁)
y - 3 = -1/2(x - 4)
y - 3 = -x/2 + 2
y = -x/2 + 2 + 3
y = -x/2 + 5.
Read more on perpendicular lines here: https://brainly.com/question/24874932
#SPJ1
Complete Question:
Write an equation for a line perpendicular to y = 2x + 2 and passing through the point (4, 3).
What is the following expression given in the function? F(3)=x²+7
The required solution of the given expression is F(3)=16.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given in the function
F(x)=x²+7
According to given question we have
The function
F(x)=x²+7
At x=3 we get
F(3)=3²+7
F(3)=9+7
F(3)=16
Therefore, the required solution of the given expression is F(3)=16.
Learn more details about here:
https://brainly.com/question/12431044
#SPJ1
pls help i will give brainliest if correct and u explain how to calculate it
In a picture we have a triangle with 3 sides. Sides are a,8 and 2. The side a=2[tex]\sqrt{15}[/tex].
Given that,
In a picture we have a triangle with 3 sides.
sides are a,8 and 2.
by using Pythagorean theorem
The Pythagorean Theorem, generally referred to as Pythagoras' Theorem, is a basic relationship between a right triangle's three sides. The Pythagorean theorem states that, given a right triangle, which is a triangle in which one of the angles is 90 degrees, the hypotenuse, the right triangle's longest side, forms a square whose area is equal to the sum of the areas of its other two sides.
In other words, given that the triangle's longest side, c, is also its hypotenuse and that sides a and b are its other two sides:
a² + b² = c²
a²+(2)²=8²
a²+4=64
a²=64-4
a²=60
Take root on both sides
[tex]\sqrt{a^{2} } =\sqrt{60}[/tex]
a=2[tex]\sqrt{15}[/tex]
Therefore, the side a=2[tex]\sqrt{15}[/tex].
To learn more about triangle visit: https://brainly.com/question/2773823
#SPJ1