The minimum score Sam needs to get on his final exam to get a "C" in the course is 82.
What is a probability?
A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
Given that, Sam's test scores are 62, 71, and 65.
The total score in three test is (62 + 71 + 65) = 198
Assume that, he scored x in the final test.
Total score of Sam is 198 + x.
He needs to score 70% means he needs to score 70 out of 100.
According to question,
(198 + x)/ 400 ≥ 70/100
Multiply both sides by 100:
(198 + x)/ 4 ≥ 70
Multiply both sides by 4
198 + x ≥ 280
x ≥ 280 - 198
x ≥ 82
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What is the value of 24 + x ÷ 12 when x = −180?
17
9
−13
−178
The value of the expression 24 + x ÷ 12 as required to be evaluated when the variable, x = -180 as required in the task content is; 9.
What is the value of the given expression for which x = -180?It follows from the task content that given expression is required to be evaluated for its value when the variable, x = -180.
Since the given expression is; 24 + x ÷ 12.
It follows that when the variable, x is given as; x = -180; we have that;
24 + ( -180 ) ÷ 12
Following from PEMDAS guidelines in which case;
P = ParenthesesE = ExponentM = MultiplicationD = DivisionA = AdditionS = SubtractionTherefore, we have that;
24 + ( -180 / 12 )
= 24 + ( -15 )
= 24 - 15
= 9.
Upon evaluation, by means of the PEMDAS guidelines in which case; Parentheses, Exponents, Multiplication, Division , Addition and Subtraction are solved in order; the value of the expression is; 9.
Therefore, the required value of the expression; 24 + x ÷ 12; as required to be evaluated according to the given parameter; x = -180 is; 9.
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the table shows the proportional relationship between the number of computers a company sold, , and the profit that the company made, . The profit, , can be written in terms of , the number of computers sold. = _________________________________ What expression completes the equation? Explain how you found your answer. Write your answer in the space provided on your answer document.
The profit, y, can be written in terms of x, the number of computers sold. as y = 150x
How to determine the equation of the proportional relationship?The table that completes the question is added at the end of this solution as an attachment
From the question, we have the following parameters that can be used in our computation:
Amount of items sold = x
Profit made by the company = y
The equation of a proportional relationship is represented as
k = Y/X * h
Where
(X, Y) is the coordinate of any ordered pair from the function or table
Using the above as a guide, we have the following:
(X, Y) = (3, 450)
Substitute the known values in the above equation, so, we have the following representation
y = 450/3 * x
Evaluate the quotients in the equation
y = 150 * x
Evaluate the products in the equation
y = 150x
Hence, the equation of the proportional relationship is y = 150x
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g it is extraordinarily rare for this participant to eat more than 1000cm3 offood at once. find a bound on the probability of such an event.
The bound on the probability of such an event is 0.75 or 75 %.
Given :
In a study on eating habits, a particular participant averages 750 cm^3 of food per meal.
it is extraordinarily rare for this participant to eat more than 1000 cm^3 of food at once.
Number of favorable outcomes = 750
Number of possible outcomes = 1000
Probability :
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. Probability measures the chance of an event happening.
P = Number of favorable outcomes / Number of possible outcomes
= 750 / 1000
= 75 / 100
= 3 / 4
= 0.75
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Full question:
In a study on eating habits, a particular participant averages 750 cm^3 of food per meal.
it is extraordinarily rare for this participant to eat more than 1000cm3 offood at once. find a bound on the probability of such an event.
How doe the anwer to each multiplication problem compare to the anwer to it correponding diviion problem
For instance, if the multiplication error is 8 x 7 = 56, then the matching division error 56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.
What is multiplication?Finding the product of two or more corresponding integers is done mathematically through the action of multiplication. It is frequently represented by the letters "x" or "*." In order to discover the result of multiplication, a multiplicand, also known as the multiplicand, is multiplied by a multiplier, also known as the multiplier. The result of the two integers, for instance, is 56 if the multiplicand and multiplier are both 8. A multiplication process always yields a greater number as the outcome than either of the initial factors. Multiply is also used to describe the process of adding a number to itself a certain number of times, as in "7 multiplied by 3 equals 21."
How to solve?
For instance, if the multiplication error is 8 x 7 = 56, then the matching division error 56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.
This connection is true for every multiplication and division problem as long as the numbers are utilised consistently in both operations.
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the government plans to build a new dam shaped like a rectangular prism. The base is 1,224 feet long and 660 feet wide. The dam will be 726 feet high. Ignore the spaces within the dam that will be hollow to hold machinery. If the dam were made of solid concrete, how many cubic feet of concrete would be needed. please help
The number of cubic feet of concrete that would be needed is 586491840 cubic feet
How to determine the number of cubic feet of concrete that would be neededFrom the question, we have the following parameters that can be used in our computation:
Base = 1224 feet longBase = 660 feet wideDam = 726 feet highThese parameters can be represented using the following notations
Length = 1224 feetWidth = 660 feetHeight = 726 feetThe number of cubic feet of concrete that would be needed is the volume of the dam
So, the number of cubic feet of concrete that would be needed can be calculated using the following volume equation
The number of cubic feet of concrete that would be needed = Length x Width x Height
Substitute the known values in the above equation, so, we have the following representation
The number of cubic feet of concrete that would be needed = 1224 * 660 * 726
Evaluate
The number of cubic feet of concrete that would be needed = 586491840
Hence, the cubic feet is 586491840
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Find the equation of the line shown
Answer:
y = -x - 4
Step-by-step explanation:
y = mx + b is slope intercept form,
where m is the slope, and b is the y-intercept.
As we can see from the picture, the line has a negative slope of 1 (we can also just say -1). We know this is the slope because it has a rise of -1 and a run of -1. (I hope that made sense lol :/)
[Side note, we use x instead of 1.]
The y-intercept is -4 since we can see the line passes through the y-axis at -4.
Therefore, the equation can be written as y = -x - 4
. Thirty dollars is divided among 8 persons according to the following rules . Each person gets at least $1 • At least one person gets more than $5 • At least four persons gets more than $1 • Each person gets and exact amount of dollars. What is the largest amount that a person can receive? 4) $13 (B) $15 (C) $17 (D) $19 (E) $23
The greatest amount that a person can receive is 19$. Option D
What is word problem?A word problem is a mathematical exercise which is in the form of a hypothetical question that needs mathematical analysis and equations to be solved.
Total amount = $30
Total number of people = 8
According to the problem, each person gets at least 1$ and also exact amount.Let's consider only one person gets more than 5$ because, we have to find the greatest value.
4 people get more than 1$,that includes the person who gets the maximum amount.
Let the person who gets maximum amount =x
x + 2+2+2+1+1+1+1
Maximum amount = 30- (2+2+2+1+1+1+1+1)= 11$
Hence, the maximum amount will be 19$.
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Using logarithmic properties, what is the solution to log4(y – 9) + log43 = log481? Show all necessary steps.
The rules of logarithms, which are derived from the exponent rules, are what make up the attributes of log. The solution is 36.
Find the solution ?The rules of logarithms, which are derived from the exponent rules, are what make up the attributes of log.
These logarithm features are used to simplify logarithmic expressions and solve logarithmic problems.
solution to log4(y – 9) + log43 = log481.
log4 (y − 9) + log4 3 = log4 81
We know that log a(b) + loga ( c) = loga ( b*c)
log4 (y − 9) * 3 = log4 81
We know have log a( BC ) = loga ( d)
This means BC = d
(y − 9) * 3 = 81
Divide each side by 3
y - 9 = 81/3
y - 9 = 27
Add 9 to each side
y-9+9 = 27+9
y = 36
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Answer:
y = 36
Step-by-step explanation:
STEP 1:
The given equation is
log4(y – 9) + log4(3) = log4(81)
STEP 2:
log4(y – 9)(3) = log4(81)
STEP 3:
log4(3y - 27) = log4(81)
STEP 4:
3y - 27 = 81
+27. +27
STEP 5:
3y = 108
__ ____
3. 3
STEP 6:
y = 36
If the probability of an event occurring is .37, what is the probability that is will not occur?
A .68
B) 57
C.90
D .63
Answer:
.63
Step-by-step explanation:
.37 = 0.37
probability = 1 – 0.37
= 0.63 or .63
Help me plssssssssssss
Answer:
(1,3)
Step-by-step explanation:
Substitute in 3x for y in the equation x + y = 4
x + 3x = 4
4x = 4 Divide both sides by 4
x = 1
Substitute 1 for x in either of the 2 original equations
x + y = 4
1 + y = 4 Subtract 1 from both sides
y = 3
(1,3)
with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b)
This is incomplete question
Complete question is this:
With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0Choose the correct option:
Now, According to the question:
Hence, The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b).
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here is a scatter plot for a set of bivariate data. what would you estimate the correlation coefficient to be?
You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
What is meant by scatter plot?The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.
Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 16 lawyers to the case and was able to charge the client $11800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of associates assigned in the case is 7.
The number of partners assigned in the case is 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Number of associates = m
Cost of each associates = $400
Number of partners = n
Cost of each partner = $1000
Now,
Total number of lawyers = 16
Total amount charged = $11800
Now,
m + n = 16
m = 16 - n
400m + 1000n = 11800
Putting m = 16 - n.
400(16 - n) + 1000n = 11800
6400 - 400n + 1000n = 11800
6400 + 600n = 11800
600n = 11800 - 6400
600n = 5400
n = 5400/600
n = 9
Now,
m = 16 - n
m = 16 - 9
m = 7
Thus,
The number of associates assigned in the case is 7.
The number of partners assigned in the case is 9.
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at a grocery store, 4% of the eggs are broken. if you buy a dozen eggs, what is the probability that none are broken?
The probability that none are broken as calculated from the data given is 0.96.
No of eggs = 12
percentage of broken eggs = 4%
=4/100 * 12 = 0.48 eggs
therefore , probability of getting broken egg
= no of favorable outcome/ no of outcomes
=0.48/12
=0.04
hence probability of not getting any broken egg
= 1 - P(broken)
= 1- 0.04
= 0.96
There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us.
When this happens, we say that there is a chance that the event will happen or not. In general, probability has many wonderful uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.
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∠A=8x _6
∘
tart color #11accd, angle, A, end color #11accd, equal, tart color #11accd, 8, x, plu, 6, degree, end color #11accd \qquad \green{\angle B} = \green{4x 38^\circ}∠B=4x _38
∘
The measure of angle A and angle B is equal to 70° as per the given relation of both the angles.
As given in the question,
Given measure of angle A is equal to ( 8x + 6 )°
Given measure of angle B is equal to ( 4x + 38 )°
Given condition :
Measure of both the angles are equal to each other
Measure of ∠A = Measure of ∠B
⇒ ( 8x + 6 )° = ( 4x + 38 )°
Now simplify the above equation to get the value of x
⇒(8x - 4x)° = (38 -6)°
⇒4x°= 32°
⇒x = 32°/4
⇒x = 8°
Measure of ∠A = 8(8) + 6
= 70°
Measure of ∠B = 4(8) +38°
= 70°
Therefore, the measure of both the angles A and B is equal to 70°.
The complete question is:
The measure of ∠A = (8x + 6)° , measure of ∠B = ( 4x+ 38)° and both are equal to each other. Find the measure of each angle?
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Find the possible values of x in the figure.
The possible values of x in the figure are given as follows:
x > 3/2.
How to obtain the possible values of x?The possible values of x are obtained verifying if the given dimensions form a triangle, and the condition is that the sum of the lengths of the two smaller sides has to be greater than the length of the greatest side.
For the triangle given in the image, the dimensions are given as follows:
Two smaller sides: 2x and 4x - 3.Larger side: 4x.Hence, applying the condition, the inequality to obtain the values of x is given as follows:
2x + 4x - 3 > 4x.
Then, solving the inequality, the possible values of x in the triangle are given as follows:
2x + 4x - 3 > 4x
2x > 3
x > 3/2.
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Please help me I’ll give 50 points. Tysm
Answer:
[tex]\textsf{A)} \quad -1\dfrac{3}{20}y+4[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(11-9 \dfrac{3}{5}y\right)+\left(8 \dfrac{9}{20}y-7 \right)[/tex]
Remove the parentheses:
[tex]11-9 \dfrac{3}{5}y+8 \dfrac{9}{20}y-7[/tex]
Collect like terms:
[tex]8 \dfrac{9}{20}y-9 \dfrac{3}{5}y+11-7[/tex]
Subtract the numbers 11 - 7:
[tex]8 \dfrac{9}{20}y-9 \dfrac{3}{5}y+4[/tex]
Factor out y:
[tex]\left(8 \dfrac{9}{20}-9 \dfrac{3}{5}\right)y+4[/tex]
Partition the mixed numbers into fractions and whole numbers, and then subtract them separately.
Subtract the whole numbers:
[tex]\implies 8-9=-1[/tex]
Subtract the fractions by changing both fractions into equivalent fractions so both fractions have the same denominator:
[tex]\implies \dfrac{9}{20}-\dfrac{3}{5}[/tex]
[tex]\implies \dfrac{9}{20}-\dfrac{3 \cdot 4}{5 \cdot 4}[/tex]
[tex]\implies \dfrac{9}{20}-\dfrac{12}{20}[/tex]
[tex]\implies -\dfrac{3}{20}[/tex]
Put the two answers from the whole numbers and fractions back together:
[tex]\implies -1-\dfrac{3}{20}=- \left(1+\dfrac{3}{20}\right)=-1\dfrac{3}{20}[/tex]
Therefore:
[tex]\left(8 \dfrac{9}{20}-9 \dfrac{3}{5}\right)y+4=\left(-1\dfrac{3}{20}\right)y+4=-1\dfrac{3}{20}y+4[/tex]
Will thank and rate 5 stars if answers correct
Answer: We use the SSS
Step-by-step explanation:
SSS method or Side Side Side method is when we test to see if the triangles are the same or not. We know this by checking if the sides of the triangles change at the same rate or not!
Let test the YW is 4 and the WY is 8, we see the side multiply by 2
The VX is 5 and the XZ is 10, wee see the sided multiply by 2
So we use the SSS to show that both triangles are equal
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3204 to rent trucks plus an additional
fee of $75.25 for each ton of sugar. The second company does hot charge to rent trucks but charges $275.50 for each ton of sugar.
Answer:
the first company would be cheaper because it has a lower total cost.
Step-by-step explanation:
To determine which company is more cost-effective, you will need to compare the total costs for each company based on the amount of sugar being transported.
If the first company is used, the total cost for transporting x tons of sugar will be 3204 + 75.25x dollars.
If the second company is used, the total cost for transporting x tons of sugar will be 275.50x dollars.
To determine which company is cheaper for a given amount of sugar, you can compare these two equations by setting them equal to each other and solving for x.
For example, if you want to transport 100 tons of sugar, you can set the two equations equal to each other and solve for x:
3204 + 75.25x = 275.50x
Solving for x, we get: x = 3204 / (75.25 - 275.50) = 107.8 tons
This means that if you want to transport 100 tons of sugar, the first company would be cheaper, because it costs less than the second company for any amount of sugar greater than 107.8 tons.
If you want to transport a different amount of sugar, you can repeat this process to determine which company is cheaper.
Deduce the polynomial with the given roots: 5; 3 + 2i; 1 - 3i
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
The polynomial with the given roots 5, (3 + 2i), and (1 - 3i) is 45 - 35i = 0
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
The roots of a given polynomial are:
5, 3 + 2i, and 1 - 3i
Now,
We can write it as,
5 (3 + 2i) (1 - 3i) = 0
(15 + 10i) (1 - 3i) = 0
15 - 45i + 10i - 30i² = 0
[ i = √-1, i² = -1 ]
15 - 45i + 10i + 30 = 0
Combining the like terms.
45 - 35i = 0
Thus,
The polynomial with the given roots 5, (3 + 2i), and (1 - 3i) is 45 - 35i = 0
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A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2\frac{1}{2} times its birth weight.
How many pounds did the baby weigh at the end of 8 months?
The weight of the baby at the end of the 8 months was 18.125lbs.
Step-by-step explanation:The weight of baby at birth = 7.25 lb
At the end of 8 months, the baby weighed 2.5 times its birth weight.
We need to find the weight of the baby at the end of 8 months.
[tex]\frac{2}{5}[/tex] = [tex]\frac{4+1}{2}[/tex] = [tex]\frac{5}{2}[/tex]
The weight of the baby at the end of 8 months is 5/2 times of its initial weight.
Total weight = 7.25 x [tex]\frac{5}{2}[/tex]
Total weight = 18.125
Solution:Therefore, the weight of baby at the end of 8 month is 18.125 lbs.
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters per year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.
How tall was the tree when Vlad moved into the house?
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
Answer:
here
Step-by-step explanation:
1. How tall was the tree when Vlad moved into the house?
292-26*4.5=175 cm
2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
175+26*x=357
357-175=182=26*x
x=7
hope this helped
somebody explain pls!!!!!
Step-by-step explanation:
Using log properties
[tex] log_{7}(rz {}^{12} ) [/tex]
[tex] log_{7}(r) + log_{7}(z {}^{12} ) [/tex]
Then
[tex] log_{7}(r) + 12 log_{7}(z) [/tex]
Plug in the knowns
[tex] - 7.87 + 12( - 12.59)[/tex]
[tex] - 158.95[/tex]
Solve the equation -2 (x + 4) + 3x = x -8
help me in this one Please Please Please Please Please Please Please Please
Sam buys 10 tickets for $5
Sam spends $135 at fundraiser
S=
When Sam buys 10 tickets for $135 at fundraiser, the amount for each ticket will be $13.50.
How to illustrate the equation?It should be noted that an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, Sam buys 10 tickets for $135 at fundraiser, the amount for each ticket will be:
= $135 / 10
=$13.50
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Complete question
Sam buys 10 tickets for $135 at fundraiser. Calculate the amount for each ticket.
Please help me before my assignment is due
Answer:
Step-by-step explanation:
P+N+2Q=?
P= Pennies
N= Nickels
Q= Quarters
Whitch ones correct
A b c or d
Answer:
A. y = -1/2 x + 3/2
Step-by-step explanation:
An x-intercept of 3 means point (3, 0).
The line passes through points (3, 0) and (-5, 4).
y = mx + b
m = (4 - 0)/(-5 - 3) = 4/(-8) = -1/2
y = -1/2 x + b
0 = -1/2 × 3 + b
b = 3/2
y = -1/2 x + 3/2
Please hurry
The width of a sandbox is represented by x+5 The length of the sandbox is double the width. Determine an expression that would represent the area of the sandbox. To earn full credit, show your work using a method explained in the Orientation.
Answer: (x+5)(2x+10)
Step-by-step explanation: Hope you find it helpful, I am in the rush so can't give you a full explanation on paper yet!
Pete's three puppies need to run 5 2/3 miles every day. Today Coco ran only 2 1/2 miles. How many more miles does Coco need to run today so that he runs 5 2/3 miles?