Answer:
i think you have written wrong equation
Step-by-step explanation:
if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade
Answer:
6 students earned a d and 80% got other
Step-by-step explanation:
Answer:
6 students, 80% of students
Step-by-step explanation:
20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.
\(20\)%\(=\)
\(\frac{20}{100}=\\\frac{1}{5}\)
Ok, \(\frac{1}{5}\) of Ms. Moore's 30 students earned a D. Let's multiply.
\(\frac{1}{5}*\frac{30}{1} =\\6\)
6 students in Ms. Moore's class earned a D.
Therefore, the rest of the class earned a different grade. \(30-6=24\) students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%
\(\frac{24}{30} =\\\frac{4}{5} =\\0.8=\)
\(80\)%
80% of students in Ms. Moore's class got a grade other than D.
I hope this helps! Let me know if you have any questions :)
-2 ≤2x-4 <4 solve inequality
-8 < 4
hope it helps
Answer: -2≤-8<4
Step-by-step explanation:
HELP QUICK PLEASE!!!!!!!!!!!!
A book publisher publishes both fiction and nonfiction books. Let F represent the number of words, per chapter, for fiction books, and let N represent the number of words, per chapter, for nonfiction books. The standard deviation of the total amount, S = F + N, is 195. 3 words. What is the interpretation of this value?
The mean number of words per chapter will vary from book to book.
On average, there are 195. 3 words total in a typical chapter of either genre of book.
This publisher can expect the total number of words per chapter to vary by approximately 195. 3 words from the mean.
If we combine the fiction and nonfiction books from this publisher, the average number of words per chapter will change by 195. 3
Option C is correct interpretation. The publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.
In this example a book publisher published both fiction and nonfiction books, let F for fiction and N for nonfiction,
the standard deviation of total amount F+N=S=195.3,
Standard deviation is a measure which shows, how much variation such as spread, dispersion from the mean exists. the standard deviation indicates the typical deviation from the mean.
so, in this particular case we have standard deviation of total amount S=195.3.The interpretation of this value is the publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.
option C is correct interpretation for this case.
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helpp ill mark u as brainlist
Answer:
H
Step-by-step explanation:
How many significant figures will there be in the answer to the following problem?101.7 * 5.45 =
hello
101.7 * 5.45 =
\(101.7\times5.45=554.265\)if you observe you'll see a decimal point after the third number. this tells us that the answer has a three significant figure
Solve the inequality. 22−2x<38 Which answer represents the solution set?
Answer:
x >-8
Step-by-step explanation:
22−2x<38
Subtract 22 from each side
22-22−2x<38-22
-2x < 16
Divide each side by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
A one-year Treasury bill yields 4.5% and the expected inflation
rate is 3%. Calculate, approximately, the expected real rate of
interest.
The approximate expected real rate of interest is find by subtracting the approximate expected inflation rate from the yield of the Treasury bill. In this case, the approximate expected real rate of interest is around 1.5%.
To calculate the approximate expected real rate of interest, we can use a simplified formula that involves subtracting the approximate expected inflation rate from the nominal interest rate. In this scenario, the nominal interest rate is 4.5%, and the expected inflation rate is 3%.
Using the simplified formula, we subtract the approximate expected inflation rate of 3% from the nominal interest rate of 4.5% to get an approximate expected real rate of interest of 1.5%.
It's important to note that this calculation provides an approximation of the expected real rate of interest and may not account for all factors and variations in inflation. For a more precise calculation, additional considerations and data would be required.
Therefore, the approximate expected real rate of interest in this case is around 1.5%. This suggests that after adjusting for an expected inflation rate of 3%, the investor can anticipate an approximate real return of 1.5% on their investment in the one-year Treasury bill.
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shandra is working two summer jobs, making 12 per hour washing cars and making 24 per hour tutoring. in a given week, she can work at most 17 total hours and must earn at least 300. if shandra worked 3 hours washing cars, determine all possible values for the number of whole hours tutoring that she must work
Shandra must work at least 11 whole hours tutoring to meet the minimum requirement of Earning $300 in a given week.
She worked 3 hours washing cars, the total number of hours she can work in a week is given as:
3 hours washing cars + x hours tutoring = 17 hours
Now, we need to determine the minimum amount Shandra must earn, which is $300.
The amount she earns from washing cars is calculated as:
3 hours * $12/hour = $36
The amount she earns from tutoring is calculated as:
x hours * $24/hour = $24x
To meet the minimum requirement of earning $300, the total earnings from both jobs must be at least $300:
$36 + $24x ≥ $300
Now, we can solve this inequality to find the range of possible values for x.
$24x ≥ $300 - $36
$24x ≥ $264
Dividing both sides of the inequality by $24:
x ≥ $264 / $24
x ≥ 11
Therefore, Shandra must work at least 11 whole hours tutoring to meet the minimum requirement of earning $300 in a given week. if Shandra worked 3 hours washing cars, she must work at least 11 whole hours tutoring to meet the minimum requirement of earning $300. The range of possible values for the number of whole hours tutoring is 11 hours or more.
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At an online bookstore, Alicia downloads 3 books for $9 each and 2 magazines for $4 each. She uses a $50 gift card to pay for the books. Write an expression that shows how she can figure out how much money is left on the card after making the purchases.
Answer:
$15
Step-by-step explanation:
So first we see that alicia buys 3 books for $9 and that would be 27 because 3x9=27. Now we also see that she bought 2 magazines for $4 and that would be 8 because we are multiplying 4x2. Now we add 27 and 8 which would give us 35. She uses a $50 card to make the purchase. We subtract, 50-35 and we would get 15. So alicia has $15 left on the card.
Please help me!!!!!!!!
We can see here that the solutions to the triangles are:
1. 62.2°.
2. 35.9°
3. 61.9°
4. 53.1°
How we arrived at the solutions?We can see here that using trigonometric ratio formula, we find the values of x.
We see the following:
1. Cos x = 7/15 = 0.4666
x = \(cos^{-1}\) 0.4666 = 62.2°.
2. Sin x = 27/46 = 0.5869
x° = \(sin^{-1}\) 0.5869 = 35.9°
3. Sin x = 30/34 = 0.8823
x° = \(sin^{-1}\) 0.8823 = 61.9°
4. Tan x = 8/6 = 1.3333
x° = 1.3333 = 53.1°
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What is the slope of line ?
Answer:The slope is m= 1/2
(0,-2) & (2,-1)
Step-by-step explanation:
(0,-2) & (2,-1)
m=y²-y¹/x²-x¹
m=(-1)-(-2)/2-0
m=1/2
Please answer the question in the screenshot! I need help! NOW!
Answer:
Step-by-step explanation:
C
What is the answer? please help
Answer:
the first choice
Step-by-step explanation:
uation 3(x-6) - 8x = -2 + 5(2x + 1) true?
Let's begin by listing out the given information:
Write the equation of the line.
Answer:
y=2x+4
Step-by-step explanation:
First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)
Slope=4-0/0-(-2)
=4/2
=2
Y-intercept is 4.
Slope-Intercept form: y=mx+b
m is slope & b is y-intercept
y=2x+4
HOPE I helped!
Which equation can be used to solve for b?
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees. The length of side B C is 5 centimeters, the length of B A is 10 centimeters, and the length of C A is b.
tan(30o) = StartFraction 5 Over b EndFraction
tan(30o) = StartFraction b Over 5 EndFraction
tan(30o) = StartFraction 10 Over b EndFraction
tan(30o) =
Mark this and return
The equation tan(30°) = 5/b can be used to solve for b. The solution has been obtained by using trigonometry.
What is trigonometry?
The study of the sides, angles, and connections of the right-angle triangle falls under the purview of the branch of mathematics known as trigonometry.
We are given a right angled triangle, with angle BCA = 90° and angle CAB = 30°. Also, the length of side BC is 5 centimeters, the length of BA is 10 centimeters, and the length of CA is b.
Using trigonometry,
We know that tan theta = opposite side/ adjacent side
So,
⇒tan θ = 5/b
Here, θ = 30°
So,
⇒tan 30° = 5/b
Hence, the equation tan(30°) = 5/b can be used to solve for b.
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Analyze tables use the table that shows the percents of blood types of 145 donors during a recent blood drive
a. find how many donors had type b blood. Round to the nearest whole number if necessary ____
b. How many donors did not have type O blood? Round to the nearest whole number if necessary ____
c. Which blood type has less than 10 donors?
blood type percent
O 45
A 40
B 11
AB. 4
Answer:
Answer:
a. 16
b. 80
c. Blood type AB
Step-by-step explanation:
Given:
O = 45%
A = 40%
B = 11%
AB = 4%
Total number of donors = 145
a. No. of donors that had type B blood =
Type B blood donors ≈ 16
b. No. of blood donors without blood type O =
Those without blood type O ≈ 80
c. Find the number of people that had type AB:
Type AB = ≈ 6. This is less than 10 donors.
Therefore, blood type AB had less than 10 donors.
You are dealt a hand of three cards, one at a time. Find the probability of each of the following. a) The first diamond you get is the third card dealt. b) Your cards are all spades. c) You get no aces. d) You have at least one red card.
Previous question
a) The probability of the first diamond being the third card dealt is 1/4.
b) The probability of having all spades in the hand is 1/64.
c) The probability of not getting any aces is 48/64.
d) The probability of having at least one red card is 1 - (probability of having no red cards), which is 1 - 1/4 = 3/4.
a) In a standard deck of 52 cards, there are 13 diamonds. Since the first diamond must be the third card dealt, there are 51 remaining cards after the first two cards are dealt. Out of these 51 cards, 12 are diamonds. Therefore, the probability is 12/51, which simplifies to 1/4.
b) There are 13 spades in a deck, so the probability of getting a spade on the first card is 13/52. For the second card, the probability is 12/51, and for the third card, it is 11/50. Since these events are independent, we multiply the probabilities together: (13/52) * (12/51) * (11/50) = 1/64.
c) There are 4 aces in a deck, so the probability of not getting an ace on the first card is 48/52. Similarly, for the second card, it is 47/51, and for the third card, it is 46/50. Multiplying these probabilities gives (48/52) * (47/51) * (46/50) = 48/64.
d) To find the probability of having at least one red card, we can calculate the probability of having no red cards and subtract it from 1. The probability of not getting a red card on the first card is 26/52, and similarly, for the second and third cards, it is (25/51) * (24/50). The probability of having no red cards is (26/52) * (25/51) * (24/50) = 1/4. Therefore, the probability of having at least one red card is 1 - 1/4 = 3/4.
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Answer each part. If necessary, round your answers to the nearest hundredth.
(a) It takes 51 pounds of seed to completely plant a 9-acre field.
How many acres can be planted per pound of seed?
acres per pound
(b) Christine runs 4 miles in 22 minutes.
How many minutes does she take per mile?
minutes per mile
Answer:4
Step-by-step explanation:
Answer:a) Given :
51 pounds of seed can be planted in = 9 acre field.
Per pound of seed =
We can convert 9/51 in simplest fraction by dividing top and bottom by 3.
We get
Therefore, 3/17 of an acrs can be planted per pound of seed.
b) $10 amount = 16 pounds of sugar.
$1 amount = 16/10 = 1.6 pounds of sugar.
Therefore, 1.6 pounds of sugar she got per dollar.
Step-by-step explanation:
A motorist travelled 60km in 1 hours and a further 90km in 2 hours. His average speed in km/hr for the entire journey was??
To get average speed you take:
Total distance / total time = average speed
As we can see, the total distance that the motorist travelled was:
\(60km+90km=150\operatorname{km}\)And, the total time taken is:
\(1h+2h=3h\)Then, his average speed is:
\(\frac{150\operatorname{km}}{3h}=\frac{50\operatorname{km}}{h}\)In ΔJKL, j = 27 cm, k = 82 cm and ∠L=162°. Find the area of ΔJKL, to the nearest square centimeter.
Answer:
\(684\:\mathrm{cm^2}\)
Step-by-step explanation:
The area of any triangle is equal to \(A=\frac{1}{2}\cdot a\cdot b\cdot \sin C\), where \(a\) and \(b\) are two sides of a triangle and \(C\) is the angle between them.
Plugging in given values, we have:
\(A=\frac{1}{2}\cdot 27\cdot 82\cdot \sin 162^{\circ}=\boxed{684\:\mathrm{cm^2}}\)
Answer:
342
Step-by-step explanation:
see image
When tax is added to the cost of a lipstick,its price increases from $16.50 to $18.48.what is the rate at which tax is charged?
Answer:
1.98 is your tax rate of the lipstick
Use technology to find the line of best fit for the following data.
(1, 0), (2, 3), (3,1), (4,4), (5,5)
When the equation of the line is in the form y=mx+b, what is the value of **m**?
Using the given data points and a linear regression tool, the equation of the line of best fit is approximately y = 1.2x - 0.6. Therefore, the value of m (slope) is approximately 1.2.
To find the line of best fit for the given data and determine the value of m in the equation y=mx+b, you can use technology like a graphing calculator or spreadsheet software. Here's a step-by-step explanation:
1. Input the data points: (1, 0), (2, 3), (3,1), (4,4), (5,5)
2. Use the software's built-in linear regression function to find the line of best fit. For example, in Microsoft Excel, you can use the "LINEST" function.
3. The linear regression function will give you the values for m (slope) and b (y-intercept) in the equation y=mx+b.
Using the given data points and a linear regression tool, the equation of the line of best fit is approximately y = 1.2x - 0.6. Therefore, the value of m (slope) is approximately 1.2.
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Orlando has a loan with an effective interest rate of 7.918%, compounded annually. which of the following must be true? i. in the effective rate formula, n is equal to one. ii. the nominal rate is 7.918%. iii. the federal funds rate is static. a. i and ii b. ii only c. iii only d. i, ii, and iii
The right answer will be both I and II
I. In the effective rate formula, n is equal to one.
II.The nominal rate is 7.918%.
What is compound interest?Compound interest is the interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from previous periods.
The formula for the compound interest is given as:
\(A=p(1+\dfrac{r}{n})^{nt}\)
Here
A= amonut
P= principle
r=rate of interest
t=time period
n=for how much time compunded
Thus we can see in the question it is compounded annually so n = 1 and the rate is given as 7.918%
Thus the right answer will be both I and II
I. In the effective rate formula, n is equal to one.
II.The nominal rate is 7.918%.
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A 6 ft. tall man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52° . How high off the ground is the kite?
here we are given that a 6ft high man is flying a kite with a string of length 100ft at an angle of elevation 52° . We would like to calculate the height of the kite above the ground. For figure refer to the attachment. We would have to make use of trigonometric ratios here as ,
In ∆ ABE ,
\(\longrightarrow \sin 52^o = \dfrac{AB}{AE} \\ \)
\(\longrightarrow 0.8 =\dfrac{y}{100ft} \\ \)
\(\longrightarrow y =0.8(100ft) \\ \)
\(\longrightarrow y = 80ft \\ \)
Now the total height above the ground will be ,
\(\longrightarrow h = y + h_{man} \\ \)
\(\longrightarrow h = (80 + 6)ft\\ \)
\(\longrightarrow\underline{\underline{ h = 86\ ft. }} \\ \)
And we are done!
What is the length of the side labeled x cm?
A. 8.9 cm
B. 9.9 cm
C. 17.0 cm
D. 18.9 cm
Answer:
A
Step-by-step explanation:
using the Sine rule in the triangle
we require the third angle
third angle = 180° - 42° - 61° = 180° - 103° = 77°
then
\(\frac{x}{sin42}\) = \(\frac{13}{sin77}\) ( cross- multiply )
x × sin77° = 13 × sin42° ( divide both sides by sin77° )
x = \(\frac{13sin42}{sin77}\) ≈ 8.9 cm ( to 1 decimal place )
debra wants to conduct a sex study on individuals who enjoy sadomasochism. she contacts a few of her friends who engage in sadomasochistic behavior. in turn, they contact others whom they know are sadomasochists or attend s/m parties. eventually, a sample of 200 participants is obtained. identify the type of sampling method used in this survey.
The type of sampling method used in this survey is snowball sampling. Snowball sampling is a type of non-probability sampling approach.
In this technique, the initial group of study participants refers additional participants, and those participants lead to more referrals, and so on, like a snowball rolling down a hill. This technique can be used when the population of interest is unknown or challenging to access.
Debra wants to conduct a sex study on individuals who enjoy sadomasochism. She contacts a few of her friends who engage in sadomasochistic behavior. In turn, they contact others whom they know are sadomasochists or attend s/m parties. Eventually, a sample of 200 participants is obtained.
This technique is used when the population of interest is challenging to access or when the researchers lack information about the population. Here, the initial group of study participants refers additional participants, and those participants lead to more referrals, and so on, like a snowball rolling down a hill.
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Write a story problem to go with the multiplication problem 4 x 2/3 then solve the problem.
Story:
There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?
Solution of story:
We know that:
Tank = 4 liters2/3 x 4 = Water filled in tankMultiply both the terms to get the answer.
Solution:
2/3 x 4 liters=> 8/3 liters = 2 2/3 litersHence, 2 2/3 liters has been filled with water.
Hoped this helped.
A. person can do 2/3 of work a day how many times can he do that work in 4days?
Solution:-
Just multiply numerator with numerator and denominator with denominator.
\(\\ \tt\hookrightarrow 4\times \dfrac{2}{3}\)
\(\\ \tt\hookrightarrow \dfrac{4(2)}{3}\)
\(\\ \tt\hookrightarrow \dfrac{8}{3}\)
\(\\ \tt\hookrightarrow 2\dfrac{2}{3}\)
What is the slope of the line represented by the equation y= 2x+4?
1
2.
1
4
4
O
2
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with slope m = 2
If a+1/a=3 then find the value of a³+1/a³
Answer:
9
Step-by-step explanation:
1.Solve the equation
a + 1/a = 3
a + 1 = 3a
2a = 1
a = 1/2
2. Replace 1/2 for a
1/2^3+1/1/2^3
1/8 + 1/1/8
1 1/8 divided by 1/8 = 9