Nadia was 1cm off the actual measurement of 5 cm. That is a percent error of 20%.
Sasha was 4 cm off the actual measurement of 100 cm. That’s a percent error of 4%.
How to calculate the percentage error?From the information, the measurement was 4cm and the actual measurement was 5cm. Therefore, the difference will be:
= 5cm - 1cm
= 4cm
The percentage error will be:
= Difference in measurement / Actual measurement × 100
= 1/5 × 100
= 20%.
The percentage error for Sasha will be:
= 4/100 × 100
= 4%
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Sherry has 15,200 dollars to invest in mutual funds and in bonds. Sherry has selected a mutual fund that earns 1% a year and a bond that earns 4% a year. If she wants to earn 548 at the end of the first year, how much does she need to invest in each type of account?
As per the given percentage, Sherry want to invest $2,000 amount in mutual fund and $13,200 amount in bonds.
Percentage:
Percentage means the number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Given,
Sherry has 15,200 dollars to invest in mutual funds and in bonds. Sherry has selected a mutual fund that earns 1% a year and a bond that earns 4% a year.
Here we need to find if she wants to earn 548 at the end of the first year, how much does she need to invest in each type of account.
It is given that the total amount is 15200.
So, let us consider x be the amount invested in mutual funds then 15200 - x be the amount invested in bonds.
Therefore, it can be written in the following matrix,
[tex]\begin{bmatrix}x & 15200-x\end{bmatrix}[/tex]
Now, we have know that the total interest amount after 1 year is 548,
So, it can be written like the following expression
amount invested x percentage = final amount
Therefore,
[tex]\begin{bmatrix}x & 15200-x\end{bmatrix}\times\begin{bmatrix}\frac{1}{100} \\\frac{4}{100}\end{bmatrix}=548[/tex]
It can be simplified as,
[tex]\begin{bmatrix}x\times(\frac{1}{100})+(15200-x)\times(\frac{4}{100}) \end{bmatrix}=[548][/tex]
=> x/100 + 60800-4x/100 = 548
=> x + 60800 - 4x = 54800
=> -3x = 54800 - 60800
=> -3x = -6000
=> x = 2000
=> 15200 - 2000 = 13200
Therefore, she invests $2,000 in mutual funds and $13, 200 in bonds.
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I”M GIVING BRAINLIEIST OR WHATEVER TO WHO EBER EXPLAINS THE BEST
Answer:-3
Step-by-step explanation:
write the equation that has a vertex at (-2,3) and a vertical stretch of 3
Vertex form
f(x)= 3(x+2)^2+4
HELP!!!!!
A state offers specialty license plates that contain 3 letters followed by 2 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
17,576,000 possible license plates
1,757,600 possible license plates
36 possible license plates
98 possible license plates
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
Given that, a state offers specialty license plates that contain 3 letters followed by 2 numbers.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
The number of possible license plates
= 26×26×26×10×10
= 1757600
The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.
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Complete the paragraph
The missing terms for the congruent angles are;
Complementary angles
m∠1 + m∠3 = 90°
Transitive property of equality
Subtraction property of equality;
Congruent angles.
How to identify congruent angles?Congruent angles are defined as the angles that have equal measure. Therefore, all the angles that have equal measure are called congruent angles.
We are given that;
∠1 and ∠2 are complementary
∠1 and ∠3 are complementary
Now, we are told that m∠1 + m∠2 = 90°. Complementary angles are defined as the 2 angles that sum up to 90 degrees. Thus, ∠1 and ∠2 are complementary by definition.
Similarly, m∠1 + m∠3 = 90°
By the transitive property of equality, we can say that;
m∠1 + m∠2 = m∠1 + m∠3
By the subtraction property of equality;
m∠2 = m∠3
Thus;
∠2 = ∠3 by definition of congruent angles.
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if x is a number in the interval 2 6 state all integers that satisfy the given inequality
Answer:
it is because I haven't completed the answer from THE WORK OF THE BEST ways to solve a questionStep-by-step explanation:
do I
The Lopez family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per day
Answer: 4
Step-by-step explanation: in average, they drink 12/3 = 4 milk jugs per day.
Jonathan earned the following scores on his math test 82,79,85,100,46,92,88 what is his mean test score?
Answer:
496.5714285714
Step-by-step explanation:
82+79+85+100+46+92+88
7
=496.5714285714
32. what proportion of the 30 sampled bottles are more than 12 ounces? a. 0.20 b. 0.60 c. 0.50 d. 0.30 33. in the sample of 30 bottles, the lowest recorded fill is 11.3 ounces, however, originally this value was mistakenly entered as 1.3 ounces. suppose the error is left uncorrected and the lowest value remains 1.3 ounces. which value is most affected by the error? a. the median. b. the interquartile range. c. the mean. d. all measurements would be affected the same.
The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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its an algebra problem i need help soon
perp. is perpendicular
The slope-intercept form of the equation of the line is y = 2/3(x) - 4
How to determine the slope-intercept form of the equation of the line?Given that: the unknown line passes through (0, -4) and it is perpendicular to y= -3/2(x) + 1
The slope-intercept form of a straight line is:
y = mx + c,
where m is the slope and c is the y-intercept
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ × m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
y = -3/2(x) + 1 and m₁ = -3/2
m₁ × m₂ = -1
-3/2 × m₂= -1
m₂ = 2/3
Line 2(unknown) with the point (0, -4):
y = mx + c (x = 0 and y = -4)
-4 = 3/2(0) + c
c = -4
y = 2/3(x) - 4
Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4
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Add (7x^3-2x^2-5x+6) (2x^3+3x^2-x-1)
a) 9x^3+x^2-6x+5
b) 9x^6+x^4+5x^2-6
c)9x^3-x^2-6x+5
d)14x^3-6x^2-5x-6
Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]
Equation given,
Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]
Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]
Adding Eq 1 + Eq 2,
[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]
[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]
[tex]9x^{3}+ x^{2}-6x+5[/tex]
Hence, the answer.
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Angie bikes for 20 minutes burning 150 calories. How many calories will he burn if he bikes for 25 minutes
Answer:
I think it's 187.5
Step-by-step explanation:
I divided 150 by 20 and got 7.5.
i multiplied 7.5 by 25 and got 187.5
Hop this is correct and helps you.
What is the answer to this question: 3y^2+4ab+7y^2+ab
On a math test student, Jake, has to identify all the coefficients and constants of the expression 9b+7+n. Jake says that 9 is a coefficient and 7 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is/are _.
Answer:
The coefficient is 9 in 9b.
Step-by-step explanation:
A coefficient is a number before a variable.
Examples: 9 in 9b, 5 in 5y, 3 in 3x.
Practically anything before a variable is declared a coefficient.
Pls vote brainliest if this was helpful!
It helps a lot :)
Paula bought p packages of 5 rolls of tape. Then, she bought 4 individual rolls of tape. Which expression shows how many total rolls of tape Paula bought? SOLVE AND I'll MARK BRAINST AHAHAHHA
Y=5p+3
Y equals the total amount of tape rolls
P is for the number of packages there are.
Hope this helped!
:)
Answer:
Y=5p+4
Y equals the total amount of tape rolls
P is for the amount of packages there are
Step-by-step explanation:
19. Spotify revealed that about 47% of its users are aged 13-24, 25% are aged 25-34, and 28%
are 35 or older. Suppose that for the 13- to 24-year-olds, 85% identified pop as their favorite
music genre, 59% of the 25- to 34-year-olds identified pop as their favorite music genre, and
23% of the users 35 or older identified pop as their favorite music genre. Suppose we select
one Spotify user at random and record his or her age and whether his or her favorite music
genre is pop.
The probability is 0.061 to record his or her age for her favorite music genre is pop.
What is meant by probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event or statement is to occur. An event's probability is a number between 0 and 1, where 0 indicates impossibility and 1 represents certainty. The more likely an occurrence is, the more likely it will occur. A simple example is tossing a fair (unbiased) coin. Because the coin is fair, all outcomes are equally likely; the probability of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of "heads" or "tails" is 1/2.
Given,
Age Users Pop-music
13-24 47% 85%
25-34 25% 59%
35-more 28% 23%
Let the total population be 100 then
Age Users Pop-music
13-24 47% 85% of 47=39.95
25-34 25% 59% of 25=14.75
35-more 28% 23% of 28=6.44
Persons having favorite music game as pop=34.95+14.75+6.44
=61.14
Probability=61.14/100c₁
=0.061
Therefore, the probability is 0.061.
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In ΔSTU, TU = 11, US = 17, and ST = 18. Which statement about the angles of ΔSTU must be true?
For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
As given in the question,
In the given triangle STU,
TU = 11
US = 17
ST = 18
we can see that
TU < US < ST
⇒ 11 < 17 < 18
⇒ 11 + 17 = 28
⇒ 28 > 18
All the sides of the triangle are not equal to each other.
This implies that all the angles opposite to the unequal sides are also not equal to other.
Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
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Can anyone write the equation of the graph?
The graph shows the absolute value function.
y = |x - 3| + 5
How to identify the function in the graph?First, we can see that the shape of the graph is a "V", so we have an absolute value function.
We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form
y = |x - a| + b
Notice that the above function has a vertex at (a, b)
And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:
y = |x - 3| + 5
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Ken can walk 40 dogs in 8 hours. How many dogs can Ken walk in 1 hours?
Answer:
5
Step-by-step explanation:
divide.
0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive
The slope of the line is Positive
What is the Slope of a line:
The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”
The slope of the line at different positions:
When we go from left to right on the graph if the line moves up then the slope of the line will be positive
When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero
The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined
From the given picture,
We can say that from left to right the given line is moving upwards
Therefore
From the above observation slope of the line is Positive
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John climbs a cliff that is 128 feet high in 16 minutes. What is his average rate of ascent?
The roof of a farm silo is the shape of a hemisphere and is made of sheet tin. If the diameter of the silo is 126.5 feet, how
much sheet tin is needed to make the roof? (Use π = 3.1416.)
A. 25,136.3 square feet
B. 25,026.6 square feet
C. 16,755.2 square feet
D. 33,510.2 square feet
The area of tin sheet needed to make the roof is 25,136.3 square feet.
The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :
A = 2πr² = 2*3.1416*(63.25)² = 25,136.3
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a haunted house claims that 80% of customers are scared speechless. if this is true, what is the probability that 60% or less out of a group of 50 customers will be scared speechless?
Answer: The probability of 60% or less scared speechless out of a group of 50 customers (i.e. 30 customers) is 0.0932% or 0.000932.
Step-by-step explanation: Given problem meets all criteria for application of a binomial distribution with the probability of success; p=0.8 or 80% (which makes probability of failure; q=0.2 or 20%) and the total number of trials; n=50.
Let probability of 30 or less people scared (30 is 60% of 50 people) be P(x≤30), where x≤30 encapsulates all possibilities from 0 to 30 people scared speechless.
Then, by binomial distribution,
P(x≤30) =r=030nCr*pr*q(n-r)
Now we can substitute given values and find the desired probability,
P(x≤30) =r=03050!(50-r)!r!*(0.8)r*(0.2)(50-r)
P(x≤30) =r=03050!(50-r)!r!*(0.8)r*(0.2)-r*(0.2)50
P(x≤30) =(0.2)50*r=03050!(50-r)!r!*(0.8)r*(0.2)-r
P(x≤30) =(0.2)50*r=03050!(50-r)!r!*4r
The first value on the right hand side of equation is a very small number while the summation factor on second is a relatively larger number.
P(x≤30) = 0.000932
Thus, there is a 0.09% chance of 30 or less people scared speechless out of a group of 50.
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How would you solve (5x - 7) (4x + 1)?
Using distributive property, the simplified form of (5x - 7)(4x + 1) is 20x^2- 23x - 7.
In the given question we have to solve the given expression.
The given expression is (5x - 7)(4x + 1).
To simplify the given expression we use the distributive property.
According to property; a(b+c) = ab+bc
Now simplifying the expression;
(5x - 7)(4x + 1)=5x(4x + 1) - 7(4x + 1)
(5x - 7)(4x + 1)=(5x*4x + 5x*1) - (7*4x + 7*1)
(5x - 7)(4x + 1)=(20x^2 + 5x) - (28x + 7)
Simplifying
(5x - 7)(4x + 1)=20x^2+5x -28x - 7
(5x - 7)(4x + 1)=20x^2- 23x - 7
The simplified form of (5x - 7)(4x + 1) is 20x^2- 23x - 7.
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Find the inequality represented by the graph
The inequality represented by the graph is y ≥ -x + 2
How to find the inequality the graph representsA graph is a pictorial representation of data and the graph presented represents inequality data
The graph shows a linear function written in the form
y = mx +c
where slope, m calculated as
c = intercept
x = input variables
y = output variables
calculation of slope
The points used for the slope is gotten from the graph as (0. 2) (1, 1)
m = (y₂ -y₁) / (x₂ - x₁)
substituting the values
= ( 2 - 1 ) / ( 0 - 1 )
= 1 / -1
= -1
y intercept, c this is a point where the graph cuts the y axis
c = 2
The graph contains a solid line as result there will be "equal to" attached to the inequality symbol usedshading above the line means greater thanThe two points result greater than or equal to written with the symbol ≥
hence the equation is
y ≥ -x + 2
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A polynomial can be factored by grouping if:
Tom bought a bag full of coal. After one week the bag was 2|3 full. During the next week he used of the remaining coal What fraction was left in the bag?
Answer:
None
Step-by-step explanation:
When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.
The fraction of coal left in the bag was zero or none since Tom used the remaining coal.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.
As per the given,
After one week the bag was 2|3 full
Now remaining coal = 1 -2/3 = 1/3 part
Now, Tom used this remaining amount.
So, 1/3 - 1/3 = 0 part.
Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".
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To find out the y-intercept of the line that is
parallel to y = 0.5x - 2, what should you do?
Since the parallel line goes through the point (3,
0) substitute 3 for x and 0 for y and solve for b,
the y-intercept.
You cannot solve it because you do not know
what x and y are for the parallel line.
Since the parallel line goes through the point (3,
0) substitute 0 for x and 3 for y and solve for b,
the y-intercept.
You cannot solve it because you do not know what x and y are for the parallel line. which is the correct answer would be option (B).
We have to find out the y-intercept of the line that is parallel to y = 0.5x - 2,
As per the given options,
Since the parallel line goes through point (3, 0) substitute 3 for x and 0 for y and solves for b, the y-intercept.
This is not the correct answer.
You cannot solve it because you do not know what x and y are for the parallel line.
This is the correct answer.
Since the parallel line goes through the point (3, 0) substitute 0 for x and 3 for y and solve for b, the y-intercept.
This is not the correct answer.
Therefore, You can't solve it since you don't know what the parallel line's x and y coordinates are.
Hence, the correct answer would be option (B).
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A car completes a journey at an average speed of 40 km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60 km/h?
quickly please!
The answer average speed is120KM/h
What is speed?
The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.
Given in the question a car travels in 40Km/h
Total distance will be 's' = speed * time.
The total round trip avg speed is 60km/h
So time is taken to reach = s/40 hr
And time is taken to return back = s/x hr
The total time is given = 2s/60
We can write 2s/60 = s/40+s/x
⇒ 1/x = 1/30-1/40
⇒1/x = 1/120
⇒x = 120 KM/hour
Hence the, the average speed in the return journey is 120KM/hour.
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HURRY ASAP!
What is six-eighths times five?
Your answer should be in mixed number form.
A. one and ten-thirtieths
B. three and six-eighths
C. six and four-sixths
D. nine and three-fifths
Answer:
B: [tex]3\frac{6}{8}[/tex]
Step-by-step explanation:
we multiply numerator by numerator and denominator by denominator
6/8x5/1
30/8
3 6/8
Hopes this helps please mark brainliest