Rounding to the nearest whole number, we get that the score a student would need to have a 30th percentile score on the SAT is 1345. Correct option is B.
To find the score corresponding to the 30th percentile, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the SAT score to a standard normal score using the formula:
z = (x - μ) / σ
where x is the SAT score, μ is the mean score (1509), and σ is the standard deviation (312).
To find the score corresponding to the 30th percentile, we need to find the z-score that has an area of 0.30 to its left. Using a standard normal table or calculator, we can find that the z-score corresponding to a 30th percentile is approximately -0.52.
Now we can use the formula to find the corresponding SAT score:
-0.52 = (x - 1509) / 312
Solving for x, we get:
x = -0.52 * 312 + 1509 = 1345.36
Therefore, the answer is (b) 1345.
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the measure of the larger angle is 12 less than 3 times the measure of the smaller angle
Answer:
Let x be the measure of the smaller angle. Then the measure of the larger angle is 3x - 12.
We can write this as an equation:
larger angle = 3 * smaller angle - 12 or 3x - 12 = larger angle.
Alternatively, we can write it as:
smaller angle + larger angle = 180 (since they form a straight line)
Substituting larger angle with 3x - 12, we get:
x + 3x - 12 = 180
Simplifying:
4x - 12 = 180
4x = 192
x = 48
Therefore, the measure of the smaller angle is 48 degrees, and the measure of the larger angle is 3(48) - 12 = 132 degrees.
The measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48
What is angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”
Angles can mean is an acute angle.
Let smaller angle = x
Larger angle = 3x - 12
x & (3x - 12) are supplementary
So, x + 3x - 12 = 180°
4x - 12 = 180
4x = 180 +12
4x = 192
x = 192/4
⇒ x = 48°
Hence, the measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48
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Number of terms: 8 - 4c
The Number of terms in the expression 8 - 4c is 2.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
We are given an expression as;
8 - 4c
Here c is the variable.
The first one is 8 and the second one is 4c
Therefore, number of terms are 2
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Ms. Hart wrote the expression s – 11.
Write a sentence about a real-life situation that matches this expression.
Answer:
Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.
consider the system x+y=16 x-y=14
The solution of the given system of equations is (15, 1)
What is a system of equations?A system of equations is the set of equations in which we perform operations simultaneously to solve the equation.
Given that, is a system of equations is x+y = 16 and x-y = 14
Solving the system of equations,
Add both the equations,
(x+y = 16) + (x-y = 14)
2x = 30
x = 15
Put x = 15 in any equation to find y,
x-y = 14
y = 1
Hence, the solution of the given system of equations is (15, 1)
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The question is solved for consider the system x+y=16 x-y=14, find the solution of the system,
A satellite orbiting the earth uses radar to communicate with two control stations on the earths surface the satellites orbit maintains a 10 degree angle of separation between the two stations, as shown in the picture below. Knowing that earth’s radius is 3,963 miles, sender the following questions. Round all wanders to the nearest whole number
Answer:
What is the distance between the two control stations on the earth's surface?
To find the distance between the two control stations, we can use the law of cosines. Let's call the distance between the control stations "d". Then, using the information that the angle of separation between the two stations is 10°:
d^2 = 2 * 3963^2 - 2 * 3963^2 * cos(10°)
d = sqrt(2 * 3963^2 - 2 * 3963^2 * cos(10°))
Using a calculator, we find that d = approximately 5657 miles. Rounding to the nearest whole number, the distance between the two control stations is 5657 miles.
What is the height of the satellite above the surface of the earth?
To find the height of the satellite, we can use the law of sines. Let's call the height of the satellite "h". Then, using the information that the distance between the two control stations is d:
h / sin(10°) = d / 2
h = d / 2 * sin(10°)
Using the value of d from the previous question, and a calculator, we find that h = approximately 22,795 miles. Rounding to the nearest whole number, the height of the satellite above the surface of the earth is 22,795 miles.
Step-by-step explanation:
Function w is a nonlinear function. Which representation could represent function w?
A representation that could represent function w (nonlinear function) is: D. table D.
What is a linear function?In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.
Therefore, table D represents a non-linear function because the slope is not constant and the common difference is not constant between successive data points.
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Kingsley knows that 1 inch is about 2.54 centimeters.He wants to write an equation he can use to convert any given length in inche (I) to centimeters (c)
The equation of conversion between the length y inches to centimeters is y inches = 2.54y centimeters.
What is the relation between inches and centimeters?Both the inches and centimeters are units of length, where the inch is an ES unit and the centimeter is a CGS unit. They are connected by the relation, 1 inch equals 2.54 centimeters.
Let, the length is y inches.
It is known that 1 inch = 2.54 centimeters. So, convert the y inches to centimeters.
y inches = y×1 inch
= y×2.54 centimeters
= 2.54y centimeters
Therefore, the obtained answer is y inches = 2.54y centimeters, where y is the length of an object.
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The coach of a college basketball team categorizes the number of points
scored by the team in each game, with the categories being 51 - 57, 58 - 64,
65-71, and 72 or more. If the following data represent the numbers of
points scored in the last 10 games, how many games were in the "72 or more"
category?
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
Ο Α. 2
B. 3
C. 1
OD. 4
The number of games in the "72 or more" category is 1.
What is Counting?Counting of numbers is the fundamental block in mathematics usually being used is natural numbers.
So natural numbers are also called counting numbers.
Given that the categories of the scores scored by the team in each game are done into 4 categories as 51 - 57, 58 - 64, 65-71, and 72 or more.
And the scores are given as,
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
Number of scores which are 72 or more = 1
Hence there is only 1 game which has the score in the category "72 or more".
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5.) Yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table. Today she
white tint to 3 gallons of base paint. Explain the error in her reasoning. says that she should add 9 parts red tint and 2 parts
Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.
What is painting?Painting is the practice of applying paint, pigment, color or other medium to a solid surface.
To mix 3 gallons of pink paint we must take into account the following information:
1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.
To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.
Red paint:
3 x 3 = 9
White paint:
1 x 3 = 3
Therefore, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.
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When y^3 is plotted against x, a straight linegraph is obtained, passing through the points (1,5) and (6,15). find y in terms of x
Answer: y in terms of x is y = 5x + 5.
Step-by-step explanation:
Since the graph of y^3 against x is a straight line passing through the points (1,5) and (6,15), it means that y^3 can be modeled as a linear equation in terms of x.
Let's call the slope of the line m and the y-intercept b. We can find the values of m and b using the two points (1,5) and (6,15).
Using the point-slope form of a linear equation, we can write:
y - 5 = m(x - 1)
Substituting (6,15) into the equation:
15 - 5 = m(6 - 1)
So, m = 5.
Next, we can use the slope-intercept form of a linear equation to write y in terms of x:
y = mx + b
Substituting the values of m and b:
y = 5x + 5
So, y in terms of x is y = 5x + 5.
The regular price on a pair of jeans is $54. The store advertises a back to school sale at 40% of the regular price of the jeans. Two weeks later, the store advertises a sale at an additional 20% off the sale price of the jeans. Two friends decided to purchase the jeans. Shannon says these jeans are now 60% of the regular price. Mary disagrees because she figures that the total discount is less than 60%. What is the cost of the jeans at the 40% off back-to-school sale. What is the cost of the jeans during the additional 20% off sale.
Answer:
See explanation
Step-by-step explanation:
40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.
20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.
I really need the answer for this. My teacher about to grade it. Yall please help me out.
Answer: i think that its D
Step-by-step explanation:
im really sorry if its wrong
Answer:
Step-by-step explanation:
Take my answer with a grain of salt as this is an educated guess based on the problem.
The exponentiation rule for raising a power to another power (a^b)^c = a^{bc} therefore a power to a power is equal to the powers multiplied together. so if the base is equal to (32/5) and the power is -2x. some number raised to the x is equal to (32/5)^-2x therefore because -2^x is equal to -2x the answer is B which is the original base (32/5) with the exponent -2 when raised to the x will be equal to (32/5)^-2x.
Therefore, B is the answer
NEED HELP QUICKLY,I need this done in 10 minutes or less so I've came here for help
Answer:22.5
Step-by-step explanation:
The question is in the picture.
Answer:
x = 3 , y = 8
Step-by-step explanation:
Consider the figure to be a parallelogram.
• opposite sides of a parallelogram are congruent
then
8x = 5x + 9 ( subtract 5x from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
and
7y - 16 = 5y ( subtract 5y from both sides )
2y - 16 = 0 ( add 16 to both sides )
2y = 16 ( divide both sides by 2 )
y = 8
Find the value of each variable using the properties of a parallelogram
The value of x is 10.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Parallelogram has the property that the consecutive or adjacent angles of a parallelogram are supplementary.
That is, they sum up to 180°.
Here, (6x)° and (12x)° are supplementary.
6x + 12x = 180
18x = 180
x = 10
Hence the value of x is 10.
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solve please i need help am failing class will give brainliest for the
correct answer
Answer:
9 a3 b8
Step-by-step explanation:
109 a11 b16 - 100 a8 b8
eric reads an article that says 15 out of 25 adults use their computer everyday. He collects data from a random sample of adults. Out of 1,270 adults, estimate the number of adults who use their computer every day. Please show your work!
The number of people that read their computer everyday out of 1270 surveyed adults using the given fraction is; 762 people
How to solve fraction problems?Wea re told that eric reads an article that says 15 out of 25 adults use their computer everyday. Thus, fraction of those that read their computer everyday = 15/25
Now, to find the number of people that read their computer everyday out of 1270 surveyed adults using the article fraction is;
15/25 * 1270 = 762 people
This represents the number of people that read their computer everyday
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Answer:
Step-by-step explanation:(:;44(()6)!
Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the local papers and pay $1.00. Their options are listed in the table.
Commuter Special
Pastry
Beverage
Paper
Donut
Coffee
The Times
Brownie
Milk
The Herald
Muffin
Tea
Scone
Orange Juice
Croissant
Last Tuesday, the deli did not have any muffins. How did that affect the number of possible combinations?
It decreased the number of combinations by 1.
It decreased the number of combinations by 4.
It decreased the number of combinations by 8.
It decreased the number of combinations by 10.
l
Charlie is saving money to buy an everlasting gobstopper. He estimates that he will need $13.50. However, he forgot about the added
sales tax. The actual price of his gobstopper is $15.25. What is Charlie's percent error? (ROUND TO THE NEAREST TENTH)
The percentage error of Charlie is given by the equation A = 13 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage error of the gobstopper be A
Now , the initial price of the gobstopper = $ 13.50
The final price of the gobstopper = $ 15.25
Now , the equation will be
The percentage error A = ( final price - initial price / initial price ) x 100
The percentage error A = [ ( 15.25 - 13.50 ) / 13.50 ] x 100
The percentage error A = ( 1.75 / 13.50 ) x 100
The percentage error A = 0.1296 x 100
The percentage error A = 12.96 %
The percentage error A = 13 %
Hence , the percentage error is 13 %
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When a number is increased by ten, the result is
three times the number. What is the number?
Answer:
used to works by in BBC FDA's in BBC FDA's keep that u now u now u now how to be successful so do it.
Step-by-step explanation:
no exception
Suppose you spin
the spinner twice.
What is the
probability of
spinning a red,
then green?
P (red, green) =
? show your answer as
a fraction in lowest
terms. Enter the
numerator.
The probability of spinning a red, then green is 1/4.
What is probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.
The probability of spinning a red, then green is 1/4. This is because there are four equal parts on the spinner (red, blue, yellow, and green), and spinning red first and then green means that you have a 1 out of 4 chance of getting the desired result. Therefore, the numerator is 1 and the denominator is 4.
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Answer: It is 1/16
Step-by-step explanation: It said twice so you had to multiple 8 by 2 since there are 8 possible color panels.
evaluate 9-6 when b =8
Answer:
Bx=8
Step-by-step explanation:
U always have to remember to put a “x” or “y” next to your letter it’s important.
a first time homebuyer is given the choice of two loans: loan a: 390,000, 15 year-fixed, 4 discount points, M=$3,509.71. loan b: 390,000, 15 year-fixed, 0 discount points, M=3,659.86. how much does the hole buyer save in total by choosing loan A? a) 27,027 b) 11,427 c) 26,351.02 d) 42,627.05
If a first time homebuyer is given the choice of two loans: loan a: 390,000, 15 year-fixed, 4 discount points. The amount the hole buyer save in total by choosing loan is: b) 11,427.
How to find the saved amount?To compare the total cost of each loan, we need to calculate the total payments made over the life of the loan.
For loan A, the monthly payment is $3,509.71 and the loan term is 15 years, so the total payments would be:
Total payments = monthly payment x number of months
Total payments = $3,509.71 x (15 x 12)
Total payments = $631 747.8
However, loan A also has a 4-point discount, which means the borrower paid 4% of the loan amount upfront to reduce the interest rate.
Discount points = loan amount x discount rate
Discount points = $390,000 x 0.04
Discount points = $15,600
To calculate the total cost of loan A, we need to add the discount points to the total payments:
Total cost of loan A = total payments + discount points
Total cost of loan A = $631 747.80 + $15,600
Total cost of loan A = $647,347.80
For loan B, the monthly payment is $3,659.86 and the loan term is 15 years, so the total payments would be:
Total payments = monthly payment x number of months
Total payments = $3,659.86 x (15 x 12)
Total payments = $658,774.5
To calculate the total cost of loan B, we simply add the total payments:
Total cost of loan B = total payments
Total cost of loan B = $658,774.5
Therefore, the total amount saved by choosing loan A over loan B is:
Savings = total cost of loan B - total cost of loan A
Savings = $658,774.5 - $647,347.80
Savings = $11,427
Therefore, the answer is option b) $11,427.
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the correlation coefficient will always take values
The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1 indicates positive correlation.
A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.
A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.
Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.
The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.
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Question
Andre calculated the volume of a cylinder. Andre said, “I found the area of a circular cross section and multiplied it by the cylinder’s height.”
Do you agree with Andre's strategy? Explain your reasoning.
Yes, I agree with Andre's strategy for calculating the volume of a cylinder.
The volume of a cylinder is equal to the area of the base (which is a circle) multiplied by the cylinder's height. This formula is expressed as follows:
Volume = r2h, where r is the radius of the circular base and h is the cylinder's height.
We can use the following formula to calculate the area of the circular base:
Area = r2
So, if we multiply the area of the circular base by the cylinder's height, we get:
Volume = r2h is the formula for calculating the volume of a cylinder.
As a result, Andre's strategy of calculating the volume of a cylinder by finding the area of a circular cross section and multiplying it by the height of the cylinder is valid and correct.
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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. (5 points)
coordinate plane showing the point 1, 8, point 2, 4, point 4, 1, and point 5, .5
an = 8(one half)n − 1; average rate of change is −3
an = 10(one half)n − 1; average rate of change is 3
an = 8(one half)n − 1; average rate of change is 3
an = 10(one half)n − 1; average rate of change is −3
The sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The sequence graphed below is a geometric sequence with the first term a1 = 8 and the common ratio r = 1/2. The sequence can be expressed as:
an = 8(1/2)^(n-1)
To find the average rate of change from n = 1 to n = 3, we need to calculate the difference between the third term and the first term, and then divide by 2 (since there are two terms between n = 1 and n = 3):
an = 8(1/2)ⁿ⁻¹
a₁ = 8(1/2)¹⁻¹ = 8
a₃ = 8(1/2)³⁻¹) = 2
Average rate of change from n = 1 to n = 3:
= (a₃ - a₁) / (3 - 1)
= (2 - 8) / 2
= -3
Therefore, the sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.
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Use the function to find the zeros. One factor is given.
f(x)=2x³ +x²-5x+2, the given factor is (x+2)
Answer: x = 0, 2 or 3/2 (look at the image for the solution)
Step-by-step explanation:
A rocket is launched from the top of an 88-foot cliff with an initial velocity of 100 ft/sec. a. Use the vertical motion formula h(t) = -16t2 + vt + c to write an equation that represents the height of the rocket with respect to time. b. Determine how long the rocket will take to hit the ground at the base of the cliff (h = 0) after it is launched. Round to the nearest hundredth of a second.
Answer:17
Step-by-step explanation:
i took the test
Follow the given steps to subtract mixed numbers with different denominators: Step 1– Convert the mixed numbers into improper fractions. Step 2– Find the common multiple of both the denominators. Step 3– Convert the fractions as common denominators.
The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.
Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:
Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.
Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.
Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.
Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.
Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.
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The question is -
How to Subtract mixed numbers?
In the year 2002, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 5%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?
7.2 million is the company's profit be in the year 2004.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the company's profit in the year 2004
We have to first calculate its profit in the year 2003.
We know that its profit in 2002 was $6.5 million, so we can use the formula:
Profit in 2003 = profit in 2002 + (5% of profit in 2002)
= $6.5 + (0.05 x $6.5 )
= $6.825 million
Now, to find the profit in 2004, we use the same formula:
profit in 2004 = profit in 2003 + (5% of profit in 2003)
= $6.825 + (0.05 x $6.825 )
= $7.16625 million
profit in 2004=$7.2 million
Hence, 7.2 million is the company's profit be in the year 2004.
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