(1) 3. Suppose Kaitlyn wants to make the statement that 25% of the 24 students
she sampled raised over a certain amount for the charity. What is that
amount? Explain.
Answers
Answer:
That amount is 6 STUDENTS out of 24 students.
Step-by-step explanation:
Please see the attached files for more information.
Final answer:
To calculate the amount representing 25% of the 24 students Kaitlyn sampled, an equation using equivalent fractions and cross-multiplication is set up. The equivalent fractions are 25/100 and x/24. After cross-multiplying and solving for x, we find that 6 students (x) raised more than a certain amount for the charity.
Explanation:
If Kaitlyn wants to make the statement that 25% of the 24 students she sampled raised over a certain amount for the charity, we would need to determine what number of students that percentage represents. To calculate this, we use the phrase “part over total, times one hundred, equals percent.” Applying this to Kaitlyn's situation, we would set up an equation using equivalent fractions and then cross-multiply to find the part.
For the equivalent fraction, we have 25/100 (since 25% is the same as 25/100) and we let the part be x/24 (where x is the number of students who raised over a certain amount). The equation would then be 25/100 = x/24.
By cross-multiplying, we have 25 * 24 = 100 * x, which simplifies to 600 = 100x. Therefore, after dividing both sides of the equation by 100, we find that x = 6. Thus, Kaitlyn is saying that 6 out of the 24 students raised more than a certain amount for the charity.
Related Questions
(01.01 LC)
Which rational number equals 0 point 4 with bar over 4? (1 point)
Group of answer choices
2 over 10
2 over 9
4 over 10
4 over 9
Answers
Hope this helps! :)
Answer:
4/9
Step-by-step explanation:
A spinner is divided into four colored sections that are not of equal size: red blue purple and orange Orange : 9 red 15 blue 24 purple 12 based on these results what is the probability that the arrow will land on the purple section
Answers
Final answer:
The probability that the arrow will land on the purple section of the spinner is calculated by dividing the number of purple results (12) by the total number of results (60), resulting in a probability of 1/5 or 20%.
Explanation:
The question is asking about the probability of the arrow landing on the purple section of a spinner with four different colored sections (orange, red, blue, and purple), each with a different number of results (orange: 9, red: 15, blue: 24, purple: 12). To calculate this probability, you need to use the basic probability formula which is:
Probability of an event = (Number of ways the event can occur) / (Total number of possible outcomes)
So the probability that the arrow will land on the purple section is:
Probability of purple = Number of purple results / Total results = 12 / (9 + 15 + 24 + 12) = 12 / 60 = 1 / 5
Therefore, the probability is 0.2, or 20%.
I need the answer for that ^
Answers
so the right answer is of option D.
Hope this will help u...
Please answer
A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain
point of the polygon. The polygon is transformed using the rule (x,y) → (ax, ay). Which
statement must be true?
A.Ifa is greater than 1, the image of the polygon is congruent to the polygon.
B.If a is between 0 and 1, the image of the polygon is congruent to the polygon.
C.If a is greater than 1, the image of the polygon is smaller than the polygon.
D.If a is between 0 and 1, the image of the polygon is smaller than the polygon.
Answers
9514 1404 393
Answer:
D. If a is between 0 and 1, the image of the polygon is smaller than the polygon.
Step-by-step explanation:
The given transformation represents a dilation by a scale factor of 'a'. Every linear dimension of the image polygon will be a factor of 'a' times the corresponding dimension of the original.
When a > 1, the image is larger.
When a = 1, the image is congruent to the original (no sizes have changed).
When 0 < a < 1, the image is smaller. This description matches choice D.
The correct answer is D. If a is between 0 and 1, the image of the polygon is smaller than the original polygon.
Given that a polygon is graphed on a coordinate grid with (x, y) representing the location of a certain point of the polygon.
The polygon is transformed using the rule (x, y) → (ax, ay).
We need to determine the possible result of the transformation.
When a transformation rule (x, y) → (ax, ay) is applied to a polygon on a coordinate grid, the value of a determines the scaling factor of the image.
If a is greater than 1, the image of the polygon will be larger than the original polygon because the coordinates are multiplied by a value greater than 1, resulting in an expansion or enlargement of the shape.
If a is between 0 and 1, the image of the polygon will be smaller than the original polygon because the coordinates are multiplied by a value between 0 and 1, resulting in a contraction or reduction of the shape.
Therefore, statement D is correct.
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What is the slope, m, and y-intercept for the line that is plotted on the grid below?
-54-342-
11 23
m= 1 / (0, -2)
m = 1/2, (0.4)
Answers
because
the slope, m and y-intercept for line that is plotted on the grid below
= 1/2, (0.4)
It should be 0.6. you add the numbers you got I think you add
What is 14/24 ad a percent
Answers
Answer:
58.33%
Step-by-step explanation:
To turn a fraction into a percent all you need to do is multiply the numerator by the denominator
what is the area of the base in the figure below? A cylinder with height 12and diameter 6
Answers
Answer:
[tex]9\pi[/tex]
Step-by-step explanation:
I don't see a picture, so I'm assuming the cylinder looks like a soup can sitting on a table, resting on it's circular base.
The base of the cylinder is a circle, so you need to find the area of a circle with diameter 6. Use the formula
[tex]A=\pi r^2[/tex] where r is the radius of the cylinder. If the diameter is 6, then the radius is 3.
[tex]A=\pi (3)^2 = 9\pi[/tex]
An isosceles triangle has an angle that measures 140°. Which other angles could be in that isosceles triangle? Choose all that apply.
Answers
Every triangle is 180 degrees, so each other angle should have 20
Answer: 20 :)
Step-by-step explanation:
How many unique triangles can be drawn with side lengths 12 cm and 16 cm and a 50 ° included angle
Answers
Final answer:
Using the Law of Cosines with the given sides and angle, we find that only one unique triangle can be drawn since a specific third side length can be determined, allowing only one possible triangle to exist.
Explanation:
To determine how many unique triangles can be drawn with side lengths of 12 cm and 16 cm and an included angle of 50°, we use the concept of triangle construction. The Law of Cosines allows us to find the range of possible third sides that could form a triangle:
c² = a² + b² - 2ab*cos(C),
where:
c is the unknown side length,a and b are the known side lengths (12 cm and 16 cm), andC is the included angle (50°).The solution to this equation will determine if we have a single unique triangle, more than one triangle, or no triangle at all. In this case:
c² = 12² + 16² - 2*12*16*cos(50°)
Calculating the value, we can then check if 0 < c < 28 (because for a triangle to exist, the sum of any two sides must be greater than the third side). If the third side falls within this range, a unique triangle can be drawn. As a triangle with two sides and an included angle will only yield one possible third side length, there can be only one unique triangle formed.
So, the answer is that with the given two sides and included angle, only one unique triangle can be drawn.
2. Husein used a ladder to climb up a tree. The
ladder which has its foot 2 m from the
bottom of the tree touches the tree at a
height of 7 m. How long is the ladder?
Answers
7.28 m
Explanation:
Use the Pythagorean Theorem. The length of the ladder is the hypotenuse.
a^2 + b^2 = c^2
a = 2, b = 7, c = ?
Plug in the values into the equation.
2^2 + 7^2 = c^2
4 + 49 = c^2
Square root both sides to get c = 7.28
The sum of the angle measures
of a triangle is 180°. Find the
measure of each angle.
Measure of angle A =
Measure of angle B =
Measure of angle C =
Answers
Answer:
(x-2 )= 18
(4xt1) = 81
i got it because x=20 mark branliest if you can thanks
B is 81 degrees
C is 81 degrees
I solved this problem by finding x, then plugging it into each little equation. B and C are the same because is is an isosceles triangle. You can tell this from the beginning because their equations are the same. Hope this helps :)
The first term of an arithmetic sequence is -30 and the common difference is 8. Find the 28th term.
Answers
Answer: 186
Step-by-step explanation: If it goes up by 8 every time, all we have to do is do -30 + (8*27) We multiply it by 27 instead of 38 because -30 is the first term. Now lets solve the problem.
-30 + (8*27)
-30 + 216
186
The 28th term is equal to 186.
Sorry this is late! Hope this helped.
Anyone know how to do this?! Help!
Answers
Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
What is the arc measure of DBC in
degrees?
Answers
In this context:
[tex]\boxed{\angle DBC=x=60^{\circ}}[/tex]
Explanation:Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is the measure of its central angle being a central angle an angle between two radii in a circle. Suppose that angle measures:
[tex]\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}[/tex]
Factor this polynomial expression.
[tex] {3x}^{2} - 12x + 12[/tex]
Answers
Answer:
3(x - 2)(x - 2)
Step-by-step explanation:
[tex]3 {x}^{2} - 12x + 12 \\ = 3 {x}^{2} - 6x - 6x + 12 \\ = 3x(x - 2) - 6(x - 2) \\ = (3x - 6)(x - 2) \\ = 3(x - 2)(x - 2)[/tex]
A newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft. above the ground, and then anchored to the ground 4 ft. from the base of the tree. How much wire is needed for 6 trees?
Answers
Answer:
72
Step-by-step explanation:
These questions are best done if you draw a diagram
if you do, you will see that the wires are arranged in a 3,4,5 right triangle.
you only need the perimeter so for each tree you need 12 feet of wires
multiply that by 6 and you get 72
Answer:
72
Step-by-step explanation:
Hope this helps!
The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.
A 5-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled breakfast with entries A, E, 1.0. The third column is labeled lunch with entries B, F, 1.0. The fourth column is labeled dinner with entries C, G, 1.0. The fifth column is labeled total with entries D, H, 1.0.
Which would most likely indicate an association between the categorical variables?
The value of A is similar to the value of B.
The value of A is similar to the value of E.
The value of B is not similar to the value of C.
The value of B is not similar to the value of F.
Answers
The statement that shows that indicates an association between the categorical variables is (c) The value of B is not similar to the value of C.
How to determine the true statement?From the complete question, see attachment for the table:
We can see that the entries on the last row are equal i.e. 1.0
For the table to show an association, entries at adjacent cells must not be similar.
i.e. A and B, B and C and C and D must not be similar
Hence, the true statement about the table is (c)
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The most likely indication of an association between gender and favorite meal to cook is if C) the value of B is not similar to the value of C, suggesting a significant difference in meal preferences among males for lunch and dinner.
To determine if there is an association between gender and a person's favorite meal to cook, we need to compare the conditional relative frequencies.
The value of A is similar to the value of B means that the percentage of males who prefer cooking breakfast is similar to the percentage of males who prefer cooking lunch. If these values are similar, it suggests that the meal preference might not be strongly associated with gender.The value of A is similar to the value of E implies that the percentage of males and females who prefer cooking breakfast are similar. This would suggest a possible lack of association as well.The value of B is not similar to the value of C means that a significant difference exists between males preferring lunch and males preferring dinner. This variation could indicate a potential association between gender and meal preference.The value of B is not similar to the value of F implies a difference between males preferring lunch and females preferring lunch. A difference here would suggest an association between gender and the preference for lunch.Since we are looking for an indication of association, the most likely scenario would be that c) the value of B is not similar to the value of C.
Complete Question:
The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.
A 5-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled breakfast with entries A, E, 1.0. The third column is labeled lunch with entries B, F, 1.0. The fourth column is labeled dinner with entries C, G, 1.0. The fifth column is labeled total with entries D, H, 1.0.
Breakfast, Lunch, Dinner, Total
Male A, B, C, D
Female E, F, G, H
Total 1.0 1.0 1.0 1.0
Which would most likely indicate an association between the categorical variables?
A. The value of A is similar to the value of B.
B. The value of A is similar to the value of E.
C. The value of B is not similar to the value of C.
D. The value of B is not similar to the value of F.
Please help this is the only other question, Quarantine be killing me (thank god this is due till 10:30
Answers
Answer:
24m
Step-by-step explanation:
Area of a triangle = bh/2.
The base of this triangle is 6. The altitude for the bottom base is 8. Thus, 8 * 6 all over 2 is 24.
12 cm Area
I already know the area but i can find the height.
Area of Parallelogram
120 cm
Answers
Answer: 10cm
Step-by-step explanation:
If the area is 120 and I'm assuming you meant the side length is 12, then 120 divided by 12 is 10
Cassie is designing a wheelchair ramp for a school. her original design had a height of 3 feet and a base of 24 feet. Her new design must have a height of 3 feet and height-to-base ratio of 1:12.
How long will the base ramp be in the new design?
A 6 feet
B 12 feet
C 30 feet
D 36 feet
Answers
Answer:
D. 36 feet
Step-by-step explanation:
if Cassie's new ratio is 1:12 height-to-base, and her height is 3, plug that information into the ratio.
1:12 = 3:b
to go from 1 to 3, you multiply 1 by 3, so you will need to multiply 12 by 3 to get the new base.
3x12 = 36
D. 36 feet
Which statement represents the percent of American adults with total cholesterol scores in the borderline-high range?
Answers
Answer:
P(0<z<1.3)
Step-by-step explanation:
Edge2020
Answer:
Step-by-step explanation:
C
Use the table. Which inference can you make by comparing the measures of center?
A: every runner ran faster last year as compared to this year
B: most runners ran faster last year, on average, as compared to this year
C: the runners ran faster this year, on average, as compared to last year
D: every runner ran faster this year as compared to last year
Answers
Answer:
C: the runners ran faster this year, on average, as compared to last year
Step-by-step explanation:
Mean is a measure of center and MAD is a measure of dispersion. Comparing the means, this year, on average, the runners ran faster than last year.
Answer:
c
Step-by-step explanation:
I need the help of identifying the constant term and numerical coefficient in this expression
4+2n
Answers
Answer:
constant term:n
numerical coefficient:2
Step-by-step explanation:
a numerical coefficient is a fixed number that is multiplied to a variable. So in the expression, the numerical coefficient would be 2
A constant term is something in an algebraic expression that does not change which is n
One way to notate the complement of an event A is not A. For instance, suppose that P(even) represents the probability of rolling an even number on a number cube. Then, P(not even) represents the probability of rolling a number that is not even on a number cube.
Consider the events from Activity 1.1, Questions 5 and 6—“rolling an even number” and “rolling a number that is not even.” What do you notice about the sum of the probabilities of these two complementary events?
Answers
Sum is always 1
Step-by-step explanation:
Step 1: Find the sum of probability of complementary events.The sum of probability of an event and its complementary event is always 1.
Here, the event is rolling an even number. Let it be P(even)
Its complementary event is rolling a number that is not even. Let it be P(not even)
P(even) = 1/6
P(not even) = 5/6
P(even) + P(not even) = 1/6 + 5/6 = 1
A baker has blue, yellow, green, white, red, pink, orange, and violet icing. If a cake requires one color for the background and a different color
for the text, then how many ways can she decorate the cake?
A) 28
B) 56
C) 35
D) 104
Answers
Answer:
56
Step-by-step explanation:
if you take one color and apply it to all of the other colors there are 56 ways you can she can decorate it
Answer:
B) 56 i believe
Step-by-step explanation:
to find that answer you want to multiply all of the possible answers your welcome
What is the slope of the line that passes through (3,2) and (-2,-3)?
Answers
Answer:
1
Step-by-step explanation:
[tex]slope = \frac{ - 3 - 2}{ - 2 - 3} = \frac{ - 5}{ - 5} = 1 \\ [/tex]
Answer: 5/5 aka 1
Explanation: y1-y2/x1-x2 (-3 - 2/-2 - 3)
Evaluate the expression for z = -4.
-4z - 11=
Answers
Step-by-step explanation:
Plug z = -4 into the equation
-4. -4 - 11 = 16 -11 = 5
what two numbers multiply to -8 and add to -4
Answers
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
To find two numbers that multiply to -8 and add to -4, we can guess and check until we find a pair that satisfies both conditions. The two numbers in this case are -4 and 2.
Explanation:
The question is asking for two numbers that, when multiplied together, equal -8 and, when added together, equal -4. This falls under the category of quadratic equations. To solve this problem, we would typically use the formula "x = [ -b ± sqrt(b² - 4ac) ] / 2a", but in this case, it's easier to guess and check numbers. The two numbers that satisfy the conditions are -4 and 2. Their multiplication gives us -8 (-4*2) and their addition gives us -4 (-4+2).
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The volume of the triangular pyramid is 110 cubic centimeters. The base of the triangle is
10cm and the height of the triangle is 6cm. Find the height of the pyramid.
Answers
The height of the pyramid is 11 cm
Step-by-step explanation:
Let the height of the pyramid be 'h'
Volume of the triangular pyramid= (1/3) (base area) (height of the pyramid)
110 = (1/3) (1/2) (10) (6) (h)
110 = (1/6) (60) (h)
110 = (10) h
h = 110/10
h = 11 cm
The height of the pyramid is 11cm
Alona has some wood cutouts of two different shapes - square and triangle. Each square cutout is 6 mm thick and each triangular cutout is 8 mm thick. Both cutouts have the same area of cross-section. Alona makes an upright stack using 24 square cutouts. She is making an oblique stack using the triangular cutouts. How many triangular cutouts should she put in the oblique stack so that both stacks have the same volume?
Answers
Answer:
18
Step-by-step explanation:
Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.
For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm
Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.
Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks
To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).
Explanation:To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).
Since both stacks have the same area of cross-section, we can set up the equation 6mm × (area of a square) × 24 = 8mm × (area of a triangle) × (number of triangular cutouts). By finding the ratio of the volumes and solving for the number of triangular cutouts, we can determine the number needed.
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