Answer:
C
Step-by-step explanation:
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
8
Step-by-step explanation:
Vanillas percentage is 26%
26% of 50 is 13
Chocolates percentage is 42%
42% of 50 is 21
21-13=8
Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.
In total, there are 50 students.
42% choose chocolate, hence:[tex]0.42(50) = 21[/tex]
That is, 21 choose chocolate.
The sum is 100%, hence the percentage that choose vanilla is:
[tex]x + 14 + 18 + 42 = 100[/tex]
[tex]x = 100 - 74[/tex]
[tex]x = 26[/tex]
26%, out of 50, hence:
[tex]0.26(50) = 13[/tex]
13 choose vanilla.
21 - 13 = 8.
8 more of Ursula’s classmates chose chocolate than chose vanilla.
To learn more about proportions, you can check https://brainly.com/question/24372153
BALLOON The angle of depression from a hot air balloon in the air to a person on the ground is 41°. If the person steps back 12 feet, the new angle of depression is 25°. If the person is 6 feet tall, how far off the ground is the hot air balloon?
Answer:
16.06 ft
Step-by-step explanation:
The figure is attached below.
In triangle ACB:
[tex]tan(41)=\frac{x}{y} \\x=ytan(41)[/tex]
In triangle ADB:
[tex]tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x[/tex]
Therefore equating both equations gives:
[tex]ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft[/tex]
Therefore x = 11.5715*tan(41) = 10.06 ft
The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft
What is the probability that the first marble is green a the second is red? Write fraction in simplest form.
All rectangles have four right angles. Which quadrilateral is always a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid
Answer:
a
Step-by-step explanation:
A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Answer:
A
Step-by-step explanation:
The coordinates of point A on a grid are (−4, 3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 3).
Solve for all values of x by factoring.
x2 + 10x + 8 = x
Answer:
x=-1,x=-8 can't factor it
Step-by-step explanation:
Step-by-step explanation:
x = -1 , x = -8
Hope its help u
Using a fair, six-sided die, what is P(2 or 3)?
a box cost $2.48, but it is on sale for $1.49. How much do you save on one box when bought on sale? Now how much would you save if you bought a second box?
Answer:
1. $0.99
2. $1.98
Step-by-step explanation:
1. From the question we have
Cost of box = $2.48
Selling price = $1.49
That is the box is discounted from $2.48 to $1.49
Therefore, amount saved = $2.48 - $1.49 = $0.99
2. The amount saved from buying a second box is hence;
2 × $0.99 = $1.98
Hence, as the number of boxes bought increases, the amount saved increases
Answer:
The answers to both questions are
1. You save $0.99 on the box when it is purchased on sale
This is calculated by subtracting on-sale price from pre-sale price:
$2.48-$1.49 = $0.99
2. Total amount saved when a second box is purchased on-sale price is derived by multiplying the amount saved on-sale purchase by two:
$0.99 x 2 (boxes)
$0.99 x 2 = $1.98
Cheers!
Write a real-world problem that could be solved with the inequality 23m + 4 > 96 Solve the problem with work shown. Write a sentence that explains the solution using the context from the real-world problem.
Answer:
The given inequality is
[tex]23m + 4 > 96[/tex]
Where [tex]m[/tex] represents minutes.
A problem that can be modeled by this inequality is:
Lucy earn $23 per minute, with an extra $4 due to punctuality, which must give more than $96 a day so she can make a living with that job. How many minutes does she need to work?
To solve the problem, we just solve the expression for [tex]m[/tex]
[tex]23m +4 > 96\\23m > 96-4\\23m > 92\\m > \frac{92}{23}\\ m > 4[/tex]
Therefore, Lucy needs to work more than 4 minutes in order to make a living with that job.
need help with question 40!!!!
Answer:
0.84
Step-by-step explanation:
You got number 38 wrong. It should be 0.625
So number 39's answer should be the code.
0.84
Carlos needs 1.7 meters of wire for one project and 0.8 meters of wire for another project shade the model to represent the total amount of wire Carlos needs each full row represent 1.0 meters
Answer:
Step-by-step explanation:
Given that ;
Carlos needs 1.7 meters of wire for one project &
0.8 meters of wire for another project
we are to shade the model to represent the total amount of wire Carlos needs .
NOW;
For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire = 2.5 meters of wire
In the attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
0.62
Step-by-step explanation:
Alicia buys a 8-pound bag of rocks for a fish tank. She uses 3 1/8 pounds for a large fish bowl. How much is left? (Rename the 8 pound bag of rocks. Then subtract to find the correct answer.)
Answer:
4 7/8
Step-by-step explanation:
Total pound=8
Total used=3 1/8
Leftover=?
8-3 1/8
=8-25/8
L.C.M of 8 and 25/8 is 8
=.64-25 /8
=39/8
=4 7/8
Which term best describes two events that together include all of the outcomes in the sample space
a) Complementary
B) Unlikely
C) Independent
D)Disjoint
Answer:
Complementary
Step-by-step explanation:
When 2 things are complementary, they take up all given space.
When it's unlikely, it isn't all probability
Independent means they don't affect each other.
Disjoint means mutually exclusive.
1 3 4 21
+ = + =
7 4
Answer:
i tried so i hope this helps you
I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be thinking of? Give all three possible answers.
Answer:
21, 22 and 26
Step-by-step explanation:
To answer this question first we need to know which are the factors of 12:
[tex]12= 2^2(3)[/tex]
So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.
Let's take number 21:
[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12
Now, let's take the number 22,
[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.
Now, let's take the number 26
[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.
Thus, the three possible answers are 21, 22 and 26
A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
Step-by-step explanation:
For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
i need help answering
Answer:c
Step-by-step explanation:
Can I drink some nice internet juice
Answer: Um sure you can
Ms.Sheppard cuts 1/2 of a piece of paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?
Answer:
She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.
Step-by-step explanation:
She cuts 1/2 of a piece of paper.
Of what was cut, she used 1/6 to make a piece.
What fraction of the sheet of paper does she use to make the flower?
A sixth of one half. So
[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]
She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.
what is a = 1/2 (b-c) if b is the subject
Answer:
b = 2a + c
Step-by-step explanation:
Given
a = [tex]\frac{1}{2}[/tex] (b - c)
Multiply both sides by 2 to clear the fraction
2a = b - c ( add c to both sides )
2a + c = b
Frankie puts £4000 in a bank account for 5 years with a 7.5% rate of interest. How much will be in the
account at the end of that time?
Answer:5500
Step-by-step explanation:
1. Calculate the slope between the two points (2,5) and (-3,-4).
To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”
So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.
Remember, a negative divided by a negative is a positive.
Smh, what is this. If you answer this, please add a prove it statement. Thank you.
Find the number, if...
3/8 of it is 24.
Answer:
64
Step-by-step explanation:
To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).
Answer:
The number is 64
Step-by-step explanation:
Let the number be x
3/8 of x = 24
x = 24 ÷ (3/8)
[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]
x = 64
(9+m)(-m+9) in standard form
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
HELPPPP!!!
Answer:
0.6
Step-by-step explanation:
Given that the spinner has 5 equal sections numbered 1 to 5.
Total Sample Space, n(S)=5Multiples of 2 in 1 to 5 are: {2,4}
Number less than than 3 are:{1,2}
Since we are required to find the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3, we take the union of both sets.
{2,4} [tex]\cup[/tex] {1,2} ={1,2,4}
Number of Outcomes=3
Therefore,
Probability of the spinner stopping on a number that is a multiple of 2 or is less than 3 [tex]=\dfrac{3}{5}=0.6[/tex]
PLEASE HELP
For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?
A. The finding is significant at α = 0.05, but not at α = 0.01.
B. The finding is significant at α = 0.01, but not at α = 0.05.
C. The finding is significant at both α = 0.05 and α = 0.01.
D. The finding is not significant at α = 0.05 and α = 0.01.
Answer:
C
Step-by-step explanation:
Is is a one-tailed test
P(z < 2.45) = 0.9929
1 - 0.9929 = 0.0071
Significant at both 0.05 and 0.01 because both are greater than 0.0071
Answer:
The finding is significant at both α = 0.05 and α = 0.01.
The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trail head that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trail head and the summit?
(1 foot =0.3048 meters) *
A. 1868 ft
B. 569 ft
C. 6,128 ft
D. 6,129 ft
Answer:
D
Step-by-step explanation:
Firstly, to answer this question, we need to calculate the change in elevation.
Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.
To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.
Mathematically that would be 4,418 - 2,550 = 1,868 meters
Now our answer need be in foot. we have a conversion system given in the question already.
1 foot = 0.3048 meters
x foot = 1,868 meters
x = 1,868/0.3048
x = 6,128.6 feet which is approximately 6,129 feet
Find the surface area of the prism.
Answer: ph+2b
Step-by-step explanation:
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
