As per the fraction, the lowest score in the examination is 44.
Let's consider the given information. We are told that the highest score and the lowest score in an examination differ by 55 marks. We can represent the highest score as x and the lowest score as y. Therefore, we have:
x - y = 55 ----- equation 1
We are also given that the higher score, which is x, is 9/4 times the lower score, which is y. This can be represented as:
x = (9/4)y
We can use this equation to substitute x in equation 1 and solve for y.
Substituting x in equation 1, we get:
(9/4)y - y = 55
Simplifying the above equation, we get:
(5/4)y = 55
Multiplying both sides by 4/5, we get:
y = 44
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Complete Question:
In an examination, the highest score and the lowest score are different by 55 and the higher one was 9/4 times the lower one. Find the lowest score.
help now please.I need to find k in simplest radical form
Answer:
2
Step-by-step explanation:
45°-45°-90° triangles are Special Right Triangles. There are some super helpful shortcuts you can learn for a 45°-45°-90° triangle.
The two legs of the triangle are always the same. The longest side, the hypotenuse, is:
hypot = leg•sqrt2
The leg in your problem is sqrt2.
You are asked to find the hypotenuse, k.
hypot = leg•sqrt2
k = leg•sqrt2
k = sqrt2•sqrt2
k = 2
k is 2. Don't be sidetracked by the direction that says "Write your answer in simplest radical form". If there was a radical in your answer, we would simplify it, but there isn't...it's just plain 2.
Which of the following F values, if obtained from an experiment, would lead to rejecting the null hypothesis if a = .01?
Group of answer choices F = 5.00, df = 3,18; F = 4.08, df = 3,8; none of the descriptive alternatives are correct. F = 150.00, df = 1,1;
None of the descriptive alternatives are correct.
What is the null hypothesis?
In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.
Here, we have
Given: if obtained from an experiment, would lead to rejecting the null hypothesis if a = .01.
for 1st choice ; p-value =fdist(5,3,18)= 0.0107
for 2nd choice : p-value =fdist(4.08,3,8)=0.0496
for 3rd choice : p-value =fdist(150,1,1)=0.052
since none of the choices have p value less than 0.01; none of these would lead to a rejected null hypothesis.
Hence, none of the descriptive alternatives are correct.
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{1, 2, 3,..., 175, 176, 177, 178}
How many numbers in the set above
have 5 as a factor but do not have
6-10 as a factor?
A. 1
B.
3
C. 4
D. 17
E. 18
Answer:
I'm guessing A
Step-by-step explanation:
175 is the only multiple of 5 so it has to be that also there's no option for zero
8. Katie surveyed people at a grocery store. She wanted to find out which animals were their
favorite pets. She asked the people she surveyed which animal they thought was the least
expensive to feed. The results are shown in the bar graph below.
Favorite Animal for a Pet
Number of Votes
1
8
6
N
O
Dog
Cat
Lizard
Bird
Animals
Which statement explains why Katie asked the wrong question?
OFewer people have lizards and birds for pets.
O The favorite animal for a pet is also the least expensive animal to feed.
O The least expensive animal to feed may not be the favorite animal for a pet.
An animal that is less expensive to buy could also be the favorite animal for a pet.
(1 point)
The statement "The least expensive animal to feed may not be the favorite animal for a pet" explains why Katie asked the wrong question.
What is graphs?
Graphs are used by mathematicians to logically express or chart facts and values visually. A graph point typically depicts the relationship between several things.
While the cost of feeding an animal may be an important consideration for some people when choosing a pet, it is not necessarily the only or even the most important factor. Many people choose pets based on factors such as their personality, behavior, and the amount of attention and care they require.
Therefore, the animal that is least expensive to feed may not necessarily be the animal that people consider to be their favorite pet.
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My apologies about the poor camera quality
The quadratic equation in the given graph is:
y = -3(x - 1)^2 + 4
How to write the quadratic.
Look at the vertex, is it at (1, 4), then we can write the general quadratic equation in the vertex form (with a leading coefficient a) as follows:
y = a(x - 1)^2 + 4
Now the function passes through (0, 1) then we can replace these values in the equation above to get.
1 = a(0 - 1)^2 + 4
1 = a + 4
1 - 4 = a
-3 =a
The quadratic equation is:
y = -3(x - 1)^2 + 4
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In the equation g−h=h−g, g and h are real numbers.
For what values does g−h=h−g?
Select ALL that apply.
In the given equation g - h = h - g, where g & h are real-numbers and LHS will be equal to RHS only when values of g & h are equal in magnitude & sign so that LHS & RHS becomes zero..
What are real-numbers?Natural numbers are used to count things or objects, whereas rational numbers can be used to represent or indicate fractions, irrational numbers are used to calculate or evaluate a number's square root, integers are used to measure temperature, and so on. Real numbers are a collection of several forms of numbers, such as whole, natural, integers, fractions, etc. Integers, both positive and negative, fractions, and irrational numbers are examples of rational numbers that are combined to form real numbers. R's symbol for or representation of the set of real numbers.
Given that g - h = h - g
On simplifying the equation we get:
g - h = h - g
g + g = h + h
2g = 2h
g = h
g & h can take any values, but both must be equal in order to satisfy the given condition.
For e.g, let g=h=12
g - h = h - g
12 - 12 = 12 - 12
0 = 0
Both LHS & RHS can only be zero.
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A wedding tent is built in the shape of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 34 ft by 40 ft by 8 ft, and the height of the pyramid is 5 ft. Find the total volume of the tent. Round your answer to the nearest tenth if necessary.
The total volume of the wedding tent is approximately 13146.7 cubic feet.
What is the total volume of the tent?The volume of a rectangular prism is expressed as;
V = w × h × l
The volume of rectangular pyramid is expressed as;
V = (1/3) × l × w × h
Where w is the width, h is height and l is length
To find the total volume of the wedding tent, we need to find the volumes of the rectangular prism and the rectangular pyramid and add them together.
Given that: the dimensions of the rectangular prism are 34 ft by 40 ft by 8 ft.
Therefore, the volume of the rectangular prism is:
V_prism = w × h × l
V_prism = 34ft × 40ft × 8ft
V_prism = 10880 ft³
Next, we find the volume of the rectangular pyramid.
Note that: the dimensions of the base of the rectangular pyramid are the same as the dimensions of the rectangular prism, which are 34 ft by 40 ft.
Hence:
The volume of rectangular pyramid is expressed as;
V_pyramid = (1/3) × l × w × h
V_pyramid = (1/3) × 34ft × 40ft × 5ft
V_pyramid = 2266.7ft³
Now we can find the total volume of the tent by adding the volume of the rectangular prism and the volume of the rectangular pyramid:
V_total = V_prism + V_pyramid
V_total = 10,880 + 2266.7
V_total = 13146.7 ft³
Therefore, the total volume of the tent is 13,146.7 ft³
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Choose ALL answers that describe the quadrilateral below.
Answer:
parallelogram and rectangle
Step-by-step explanation:
the shape can’t be a rhombus or a square, because all sides of it are not the same length. it’s a parallelogram, because all 4 sides are parallel to each other, and it’s a rectangle, because it’s a parallelogram and all of its sides aren’t equal.
Trapezoid ABCD undergoes the series of transformations listed to result in Trapezoid EFGH. Determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD.
A
Translation down, followed by rotation of
90°
, followed by dilation by
a scale factor of 3.
congruent enlargement reduction B
Rotation of 45°
, followed by a reflection,
followed by a translation left.
congruent enlargement reduction C
Dilation by a scale factor of 12
,
followed by a translation up,
followed by a reflection.
congruent enlargement reduction D
Reflection, followed by a
dilation of a scale factor of 1,
followed by a rotation of 180°
.
congruent enlargement reduction
The correct answer is D. Trapezoid EFGH is congruent to Trapezoid ABCD after undergoing transformation D.
How to Determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD.Let's first define the transformations:
A. Translation down, followed by rotation of 90°, followed by dilation by a scale factor of 3.
B. Rotation of 45°, followed by a reflection, followed by a translation left.
C. Dilation by a scale factor of 12, followed by a translation up, followed by a reflection.
D. Reflection, followed by a dilation of a scale factor of 1, followed by a rotation of 180°.
To determine if Trapezoid EFGH is congruent to, an enlargement of, or a reduction of Trapezoid ABCD, we need to analyze the effects of each transformation on the trapezoid.
A. Translation down, followed by rotation of 90°, followed by dilation by a scale factor of 3.
This transformation involves moving the trapezoid down, rotating it 90 degrees clockwise, and then increasing its size by a scale factor of 3. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.
B. Rotation of 45°, followed by a reflection, followed by a translation left.
This transformation involves rotating the trapezoid 45 degrees clockwise, reflecting it across a line of reflection, and then moving it left. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.
C. Dilation by a scale factor of 12, followed by a translation up, followed by a reflection.
This transformation involves increasing the size of the trapezoid by a scale factor of 12, moving it up, and then reflecting it across a line of reflection. This transformation does not preserve angles or side lengths, so Trapezoid EFGH is not congruent to Trapezoid ABCD.
D. Reflection, followed by a dilation of a scale factor of 1, followed by a rotation of 180°.
This transformation involves reflecting the trapezoid across a line of reflection, then increasing its size by a scale factor of 1 (i.e., not changing its size), and then rotating it 180 degrees. This transformation preserves angles and side lengths, so Trapezoid EFGH is congruent to Trapezoid ABCD.
Therefore, the correct answer is D. Trapezoid EFGH is congruent to Trapezoid ABCD after undergoing transformation D.
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mark these probablities on a probably failling the exam 1 by 3 how to do on scale
The probability for the possibility on a failing the exam is 1/3 , shown on the scale.
Explain about the term probabilities;A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
A probability of 0 means there is no chance an event will happen, but a probability of 1 means the event will definitely happen. A probability of 0.45 (45%) means that there are 45 out of 100 chances that the event will occur.Any collection of results constitutes an event. Events are represented by capital letters, such as A and B. For instance, if the experiment involves flipping a single fair coin, event A might only receive one head. P(A) represents the probability of an event A.
Given that-
probability = number of favourable outcome / total outcome
number of favourable outcome = 1
number of total outcome = 3
probability = 1/3
Thus, the probability for the possibility on a failing exam is 1/3 , shown on the scale.
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The speed of a stream is 4 mph. A boat travels 3 miles upstream in the same time it takes to travel 11 miles downstream. What is the speed of the boat in Stillwater?
Let the speed in still water be [tex]x[/tex] miles per hour.
The speed upstream will be slower than the speed downstream.
Speed upstream [tex]= x-4[/tex] miles per hour and speed downstream will be [tex]x+4[/tex] miles per hour.
[tex]\text{Time Taken}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
The time taken for the trip upstream and the trip downstream are the same:
[tex]\text{time}_{\text{up}}=\dfrac{3}{x-4}[/tex]
[tex]\text{time}_{\text{down}}=\dfrac{11}{x+4}[/tex]
[tex]\dfrac{11}{x+4} =\dfrac{3}{x-4} \ \ \ \ \ \ \ \leftarrow \ \text{cross multiply}[/tex]
[tex]11(x-4)=3(x+4)[/tex]
[tex]11x-44=3x+12[/tex]
[tex]11x-3x=12+44[/tex]
[tex]8x=56[/tex]
[tex]\bold{x=7}[/tex] miles per hour
three or more lines that contain the same point are called?
Answer:
concurrent lines
Step-by-step explanation:
If there are more than 2 lines (or in this case, 3 lines) that meet at a singular and same point, then they are called concurrent lines.
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c. y = two-thirds x squared + 3 a. a = 0, b = two-thirds, c = 3 b. a = two-thirds, b = 0, c = 3 c. a = 0, b = 3, c = two-thirds d. a = two-thirds, b = two-thirds, c = 3 Please select the best answer from the choices provided
The correct answer is (a) a = 0, b = two-thirds, c = 3.
How to identify the values of a, b, and c.This can be seen by comparing the given equation, y = two-thirds x squared + 3, to the general form of a quadratic equation, y = ax^2 + bx + c.
In the given equation, the coefficient of x^2 is two-thirds, so a = two-thirds. The coefficient of x is 0, so b = 0. And the constant term is 3, so c = 3.
Therefore, the correct answer is (a) a = 0, b = two-thirds, c = 3.
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What are the zeros of the function f(x)= (4x-3) (2x-1) help
The zeros of the function f(x) are:
x = 3/4x = 1/2How to find the zeros of the function?For a function y = f(x), the zeros are the values of x such that:
f(x)= 0
Here we have:
f(x)= (4x-3) (2x-1)
The zeros are the values such that any of the coefficients are zero, then we have:
4x - 3 = 0
x = 3/4
And:
2x - 1 = 0
x = 1/2
These are the zeros.
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it takes a machine 8 seconds to produce a bolt. Each day, the machine starts producing bolts at 09 30. the machine produce bolts continously every 8 seconds until it stops at 16 10 on the same day. work out how many bolts the machine produce each day
First, we need to calculate the total amount of time the machine runs each day:
Starting time: 09:30
Ending time: 16:10
We can convert the starting time and ending time to minutes:
09:30 = 9 x 60 + 30 = 570 minutes
16:10 = 16 x 60 + 10 = 970 minutes
The total running time of the machine is:
970 - 570 = 400 minutes
Since the machine produces a bolt every 8 seconds, we need to convert the running time from minutes to seconds:
400 x 60 = 24,000 seconds
Finally, we can calculate the number of bolts produced by dividing the total running time by the time it takes to produce one bolt:
24,000 / 8 = 3,000
Therefore, the machine produces 3,000 bolts each day.
Find the surface area of the rectangular prism.
On solving the provided question we can say that As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]
what is surface area ?The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional object (a three-dimensional shape contains height, breadth, and depth).
The surface area of a rectangular prism is given by the formula:
SA = 2(lw + lh + wh),
where l, w, and h are the rectangular prism's length, width, and height.
SA = 2(3×9 + 3×6 + 9×6)
= 2(27 + 18 + 54)
= 2(99)
= 198 cm²
As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]
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If RS=p+14 and QT=4p, what is the value of p?
since the now has a value of ten so the p is equalled to 59
#6 write it in y=MX+B
Answer:
[tex]m = \frac{14 - 7}{2 - 0} = \frac{7}{2} [/tex]
[tex]14 = \frac{7}{2} (2) + b[/tex]
[tex]14 = 7 + b[/tex]
[tex]b = 7[/tex]
[tex]y = \frac{7}{2} x + 7[/tex]
Kaja has a dog walking business that serves 9 dogs. If she chooses 4 of the dogs at random to take an extra trip to the dog park, what is the probability that Cherish, Taffy, Haunter, and Maverick are chosen? Express your answer as a fraction in simplest form.
The probability that Cherish, Taffy, Haunter, and Maverick are chosen is 1/126
How to solve for the probabilityThe total number of ways to choose 4 dogs out of 9 is given by the combination formula:
9Cr4 [this reads "nine combination four"]
9Cr4 = 9! / (4! 5!)
= 126
This means there are 126 possible outcomes, each equally likely.
The number of ways to choose Cherish, Taffy, Haunter, and Maverick out of the 9 dogs is:
5Cr0 * 4Cr4 = 1
This means there is only 1 favourable outcome.
Therefore, the probability of choosing Cherish, Taffy, Haunter, and Maverick is:
1/126
So the answer is 1/126.
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Simplify 3/8x8/3=??
Will give Brainlist to quickest answer!
Answer:
3/8x8/3 = 1
ur welcome I hoped I helped u answering ur question!!
Answer: 1
Step-by-step explanation:
3/8 * 8/3 just simplifies to 1 because the numerator and denominator will be equal meaning it equals 1.
Solve the equation. Round to the nearest tenth if necessary. x^2+4=29
What is the volume of a right circular cylinder with diameter 6 cm and height 16 cm? Leave your answer in terms of π
If diameter 6 cm and height 16 cm, the volume of the right circular cylinder is 144π cubic cm.
The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. In this case, the diameter is given as 6 cm, so the radius is half of the diameter, which is 3 cm. The height is given as 16 cm.
Substituting these values into the formula, we get:
V = π(3 cm)^2(16 cm)
V = π(9 cm^2)(16 cm)
V = 144π cubic cm
A right circular cylinder is a three-dimensional object with a circular base and straight sides that are perpendicular to the base. The volume of a cylinder is the amount of space that it occupies and is calculated by multiplying the area of the base by the height.
In this case, the base of the cylinder is a circle with radius 3 cm, so its area is π(3 cm)^2 = 9π square cm. The height of the cylinder is 16 cm, so the volume is 9π x 16 = 144π cubic cm.
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The equation of line t is y= –1/8x–8. Line u is parallel to line t and passes through (8,5). What is the equation of line u?
The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.
Given that:
Equation, y = - (1/8)x - 8
The slope of the parallel lines is equal. Then the equation of the parallel line is given as,
y = -(1/8)x + c
The equation passes through (8, 5), then we have
5 = -(1/8) * 8 + c
5 = - 1 + c
c = 6
The equation of the parallel line will be y = -(1/8)x + 6.
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Could Someone Please Explain What This Parallelogram Answer Is?
The area of the parallelogram is[tex]39\sqrt(15)[/tex] square units.
How to deal with Parallelogram?In the preceding diagram, we must determine the height of the parallelogram in order to determine its area. The length of the perpendicular line segment drawn from vertex A to side BC determines the parallelogram's height. We'll refer to this line segment as AD. Since AD is perpendicular to BC, we can calculate its length using the Pythagorean theorem:
[tex]AD^2 = AC^2 - CD^2[/tex]
[tex]AD^2 = 12^2 - 3^2[/tex]
[tex]AD^2 = 135[/tex]
[tex]AD = \sqrt(135) = 3\sqrt(15)[/tex]
Now that we know the height of the parallelogram, we can use the formula for the area of a parallelogram:
Area = base x height
The base of the parallelogram is the length of side AB, which is 13 units. Therefore, the area of the parallelogram is:
[tex]Area = 13 \times 3\sqrt(15)[/tex]
[tex]Area = 39\sqrt(15) square units[/tex]
Therefore, the area of the parallelogram is [tex]39\sqrt(15)[/tex] square units.
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Question 10(Multiple Choice Worth 2 points)
(11.01 LC)
What is the range of this data set?
The range of this data set include the following: D. 6.
What is a range?In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph (dot plot) shown in the image attached above, we can reasonably and logically deduce the following range:
Range = {18, 19, 20, 21, 22, 24} = 6.
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question 2 help me asap!!
Answer:
y = -5x + 14 is the correct equation.
Part C (30 POINTS)
Explain how your net created in part B can help Leonora's family determine the amount of plastic they will need to wrap around each hay bale.
In each of 15 consecutive years, 1000 high school completers were randomly selected and the number who enrolled in college was determined. The results are listed below. Find the values you would use for the centerline, the upper control limit, and the lower control limit.
601 625 619 626 619 619 650 670 656 629 633 618 652 639 667
The centerline is 612, the upper control limit is 710.4, and the lower control limit is 513.6.
How to solveTo find the centerline, upper control limit, and lower control limit for this data, we need to calculate the average and standard deviation of the values.
Given data:
601, 625, 619, 626, 619, 619, 650, 670, 656, 629, 633, 618, 652, 639, 667
Calculate the average (mean):
Sum = 9180
Number of values = 15
Average = Sum / Number of values = 9180 / 15 = 612
Calculate the standard deviation (SD):
Squared differences from mean:
961, 169, 49, 196, 49, 49, 1444, 3364, 1936, 289, 441, 36, 1600, 729, 3025
Sum of squared differences = 15078
Variance = Sum of squared differences / (Number of values - 1) = 15078 / 14 = 1077
SD = sqrt(Variance) = sqrt(1077) ≈ 32.8
Calculate control limits:
Centerline (CL) = Average = 612
Upper Control Limit (UCL) = CL + 3 * SD = 612 + 3 * 32.8 ≈ 710.4
Lower Control Limit (LCL) = CL - 3 * SD = 612 - 3 * 32.8 ≈ 513.6
The centerline is 612, the upper control limit is 710.4, and the lower control limit is 513.6.
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Covert the following decimals to percents.
0.15 =_%
Answer:
15%
Step-by-step explanation:
0.15 x 100 = 15%
The mean number of hours worked for the 30 males was 6, and for the 20 females was 9. The overall mean number of hours worked is, A. Cannot be determined. B. 7.2 hours C. 7.5 hours D. 6.5 hours
Answer:
B
Step-by-step explanation:
The overall mean number of hours worked can be determined by calculating the weighted average of the means for males and females, taking into account the sample size as weights.
Given:
X₁ = 6 (mean number of hours worked for males)
X₂ = 9 (mean number of hours worked for females)
n₁ = 30 (sample size for males)
n₂ = 20 (sample size for females)
The overall mean number of hours worked, denoted as X, can be calculated as follows:
X = (X₁ * n₁ + X₂ * n₂) / (n₁ + n₂)
Plugging in the given values:
X = (6 * 30 + 9 * 20) / (30 + 20)
X = (180 + 180) / 50
X = 360 / 50
X = 7.2