Answer:
12.75ft²
Step-by-step explanation:
Step 1: Determine the formula for the area of a trapezoid
The formula for the area of a trapezoid is A=1/2(b1+b2)*h where b1 and b2 are the bases of the trapezoid and h is the height of the trapezoid.
Step 2: List given information
b1=8ft
b2=9ft
h=1.5ft
Step 3: Plug given variables into the formula
A=1/2(b1+b2)*h
A=1/2(8+9)*1.5
A=1/2(17)*1.5
A=8.5*1.5
A=12.75
So the area of the seat is 12.75ft²
Peter has hats. He can divide them into equal groups of 2,6 and 8. How many hats does Peter have?
Answer:
24
Step-by-step explanation:
Answer: 24 hats
Step-by-step explanation:
1. Find common multiples: 2: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36 6: 6,12,18,24,30,36 8: 8,16,24,32
2. Find the least common multiple: 24
please help!! will give 20 points! thanks
Answer:
It would be the second one I think.
Step-by-step explanation:
Which describes a characteristic shared by plant-like, animal-like, and fungus-like protists?
are only multicellular
are only unicellular
are eukaryotic
are autotrophs
Answer:
Step-by-step explanation:
they have cell walls made of cellulose, whereas fungi have cell walls made of chitin. Like other protists, they have complicated life cycles with both asexual and sexual reproduction. They are motile cells during some stages of their life cycle.
Answer:
The answer is C, I took the test!
Step-by-step explanation:
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?
O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement
Answer:
(c) the converse of the original conditional statement
Step-by-step explanation:
If a conditional statement is described by p→q, you want to know what is represented by q→p.
Conditional variationsFor the conditional p→q, the variations are ...
converse: q→pinverse: p'→q'contrapositive: q'→p'As you can see from this list, ...
the converse of the original conditional statement is represented by q→p, matching choice C.
__
Additional comment
If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.
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4) Find the values of k for which the line y = 3x + 1 cuts the curve y = x² + kx + 2 in two distinct
points.
Answer:
\(k<1, k>5\)
Step-by-step explanation:
\(3x+1=x^2+kx+2 \\ \\ x^2+x(k-3)+1=0 \\ \\ \Delta>0 \implies (k-3)^2-4(1)(1)>0 \\ \\ (k-3)^2-2^2>0 \\ \\ (k-1)(k-5)>0 \\ \\ k<1, k>5\)
pls help! evaluate f(4) on this table
Answer:
37
Step-by-step explanation:
f(4) just means use 4 for x. The table has all the x's across the top (sometimes they are in columns instead) The f(x) in the second row is the output that goes with each x. When x is 4, the f(x) is 37.
All is one math sentence:
f(4) = 37
which of these comparisons between an anova and a t test is correct? a. a t test provides more flexibility in research studies than an anova. b. a t test can be used to compare two conditions, whereas an anova cannot. c. an anova examines whether mean differences exist between conditions, whereas a t test does not. d. an anova can be used to compare three or more conditions, whereas a t test cannot.
Option C. An ANOVA examines whether mean differences exist between conditions, whereas a t-test does not is the correct comparison between an ANOVA and a t-test.
What is ANOVA?
ANOVA (Analysis of Variance) is a statistical method that helps to compare three or more means or groups. It is used in behavioral and social sciences research, which determines whether the mean of the dependent variable is significantly different across different levels of an independent variable.
It is used for statistical inference in comparing the means of two or more groups. ANOVA is based on the idea of variance; that is, the variation between the groups' means is compared to the variation within the groups. By assessing the significance of the difference between group means, ANOVA determines whether there is sufficient evidence to conclude that they are not all equal.
What is a t-test?
A t-test is a statistical hypothesis test that compares the means of two independent groups. It is used when the data in each of the groups being compared is normally distributed. The t-test is a parametric test that compares the means of two groups and calculates the standard error of the difference between the means. It compares the difference between the two groups to the variability within each of the groups. The difference between the sample means is examined relative to the variability between the groups. The t-test produces a test statistic that can be compared to a critical value to determine if the means of the two groups differ significantly. It is commonly used to examine if the means of two independent groups are significantly different.
The primary differences between t-test and ANOVA are in terms of the number of groups, and that ANOVA is used for testing the significance of differences between more than two groups while t-tests are used for testing differences between two groups. Hence, ANOVA is used when we want to compare three or more groups, while t-tests are used when we want to compare two groups. Option C. An ANOVA examines whether mean differences exist between conditions, whereas a t-test does not is the correct comparison between an ANOVA and a t-test.
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Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B
Answer:
5.5 = AB
Step-by-step explanation:
take 62 degree as reference angle
using cos rule
cos 62 = adjacent / hypotenuse
0.46 = AB / 12
0.46*12 = AB
5.52 = AB
5.5 = AB
The length of side AB in the given right angle triangle of hypotenuse 12 cm is 5.7 cm.
A triangle with one angle at \(90^o\) is called right angle triangle.
Given that:
Hypotenuse = 12 cm
\(\theta = 62^o\)
The length of side AB in the given right angle triangle is calculated as:
Using trigonometric function,
\(\cos\theta = \dfrac{base}{hypotenuse}\)
Let, the value of base be x
Substitute the values in the given formula:
\(\cos 62^o = \dfrac{x}{12}\)
Using the trigonometric table, the value of \(\cos 62^o\) is 0.4694
\(0.4694 \times 12\)= x
x= 5.6328
x = 5.7
Thus, the length of side AB to 1 decimal place is 5.7 cm
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Find the focus and directrix of the parabola y=-1/8x^2
y = (-1/8)x^2 is a downward opening parabola with vertex = the origin (0,0) relatively flat.
Parabola points horizontally left and right of the focus = from (4,-2) to (-4,-2) = 2(4) = 8.
what is parabola?
Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve.The topic of conic sections includes parabola, and all of its principles are discussed here.Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms.Several examples of parabolas in real life The wheel stance in yoga resembles a parabola. Banana's shape is beginning to resemble a parabola. A parabola is emerging from the Rainbow.A series of points in a plane that are evenly spaced off from a straight line is referred to as a parabola.Focus and directrix are equidistant from the vertex.
Focus has an x coordinate = 0 and y coordinate <0 axis of symmetry is the y axis or x=0.
Find one more point on the parabola, go horizontally from the focus to the parabola, that distance equals the distance from the parabola at that point to the directrix. its x coordinate = -2 times its y coordinate. it helps to graph a rough sketch of the parabola.
y = (-1/8)x^2
y = (-1/8)(-2y)^2
y = -4y^2/8 = -y^2/2
2y = -y^2
2 =- y
x=-2y = -2(-2) = 4
plug that point (4,-2) into y =(-1/8)x^2
-2 = (-1/8)(4)^2 = -16/8 = -2 = the y coordinate of the vertex,
x coordinate = 0
the focus = (0,-2)
distance from the focus to the vertex = 2
distance from the directrix to the vertex = 2
the latus rectum = distance from the parabola points horizontally left and right of the focus = from (4,-2) to (-4,-2) = 2(4) = 8. "Latus rectum" is the math term for that distance.
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y = (-1/8)x² is a downward opening parabola with vertex = the origin (0,0) relatively flat. Parabola points horizontally left and right of the focus = from (4,-2) to (-4,-2) = 2(4) = 8.
What is a parabola?
A parabola is a U-shaped plane curve. Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line.
The topic of conic sections includes a parabola, and all of its principles are discussed here.
Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms.
Several examples of parabolas in real life The wheel stance in yoga resembles a parabola.
The Banana's shape is beginning to resemble a parabola. A parabola is emerging from the Rainbow.
A series of points in a plane that are evenly spaced off from a straight line is referred to as a parabola.
Focus and directrix are equidistant from the vertex.
Focus has an x coordinate = 0 and y coordinate <0 axis of symmetry is the y axis or x=0.
Find one more point on the parabola, and go horizontally from the focus to the parabola, that distance equals the distance from the parabola at that point to the directrix. its x coordinate = -2 times its y coordinate. it helps to graph a rough sketch of the parabola.
y = (-1/8)x²
y = (-1/8)(-2y)²
y = -4y²/8 = -y²/2
2y = -y²
2 =- y
x=-2y = -2(-2) = 4
plug that point (4,-2) into y =(-1/8)x²
-2 = (-1/8)(4)² = -16/8 = -2 = the y coordinate of the vertex,
x coordinate = 0
the focus = (0,-2)
distance from the focus to the vertex = 2
distance from the directrix to the vertex = 2
the latus rectum = distance from the parabola points horizontally left and right of the focus = from (4,-2) to (-4,-2) = 2(4) = 8. "Latus rectum" is the math term for that distance.
Hence, the distance from the focus to the vertex is 2 and the distance from the directrix to the vertex is 2 of the parabola y=-1/8x².
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Please help!! 35 points!!
Martin throws a water balloon from his bedroom window straight down to hit his older brother on the head. The speed of the water balloon is 23 feet per second. Martin’s window is 24 feet about the ground, and his brother is 6 feet tall.
How long does it take for the balloon to hit Marin’s brother in the head?
Answer:
It should take 17.28 seconds
Step-by-step explanation:
Its hard to explain, sorry! :)
Find x using the secant-tangent theorem.
Answer:
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y=x+8
y=−2x−1
The solution of the system of the equation is x = -3 and y = 5. And the intersecting point in the graph is solution point.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
We have the system of equations:
y = x+8 equation 1
y = −2x−1 equation 2
In order to solve the problem:
Subtract the equation 2 with the equation 1,
-2x-x -1-8 = 0
-3x = 9
x = -3
And y = 5
Graphically, the intersection point of both lines is the solution of the system.
The graph is given in the attached image.
Therefore, the solution of the system of the equation is x = -3 and y = 5.
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The sum of a number and four times the number
The answer is: x+x^4
Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m.
One angle is 25° greater than another.
Answer:
Either \(77.5^{o}\) or \(102.5^{o}\)
Step-by-step explanation:
Given that : one angle is \(25^{0}\) greater than another. Let the two angles be represented by a and b. Since one angle is \(25^{0}\) greater than another, then:
b = a + \(25^{0}\)
But;
a + b = \(180^{o}\) (sum of angles on a straight line)
a + a + \(25^{0}\) = \(180^{o}\)
2a = \(180^{o}\) - \(25^{0}\)
a = \(77.5^{o}\)
b = \(77.5^{o}\) + \(25^{0}\) = \(102.5^{o}\)
Therefore the measures of all angles formed by the lines is either \(77.5^{o}\) or \(102.5^{o}\).
calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
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how much money is 10 quarters 17 dimes 40 nickels and 15 pennies
Answer:
$6.35
Step-by-step explanation:
10 quarters =
10 × .25 = $2.50
17 dimes =
17 × .10 = $1.70
40 nickels =
40 × .05 = $2.00
15 pennies =
15 × .01 = $0.15
2.50+1.70+2.00+.15
= 6.35
The total is $6.35.
I need help on this problem.
Answer:
Step-by-step explanation:
132°
What of the angle is the vertex?
Answer:
Vertex: The common end point at which the two rays meet to form an angle is called the vertex. Here, the point O is the vertex of ∠AOB. We can find angles in various things around us, such as in a pair of scissors, a hockey stick, a chair.
Luca has a piece of paper with the number 144 on it but doesn’t know what it refers to. What does Luca have?
data
information
knowledge
input
Answer:
Best option is data
Step-by-step explanation:
If it was information, he would know what 144 would be used for
Knowledge doesn't make sense in this scenario
Input could be possible but we don't know for sure that the number is an input of something
Answer:
data
Step-by-step explanation:
got it right on edge 2021
sorry if I'm wrong
Rewrite the following polynomial in standard form
-x2 + 1 + 2x
Answer:
Simplify terms.
Tap for more steps...
2 x ^3 − 9 x^ 2 + 7 x + 6
Step-by-step explanation:
If the area of the pentagon is 36, what is the area of the larger pentagon?
Answer:
64
Step-by-step explanation:
16 ÷ 12 = 1.33 (rounded to 2 decimal places)
1.33 = scale factor
1.33² = area scale factor
1.33² × 36 = 64 (rounded to a whole number)
Answer: 64 would be the area
Step-by-step explanation:
-12x=-10 can give Brainly
Answer:
x = 5/6
Step-by-step explanation:
-12x=-10
Divide each side by -12
-12x/-12 = -10/-12
x = 5/6
Answer:
X = 0.8
Step-by-step explanation:
-12x=-10
divide -12 from both sides
x = 0.8
What is the value of the expression -9 x 2.2?
helppppppppppppp plz asap its due in 2 hourssss
which one of the following is not a condition of the binomial distribution? a. independent trials b. only two outcomes c. probability of success remains constant from trial to trial d. at least 10 observations
Answer:
The correct option is B: Only two outcomes
Explanation:
The probability of success remains constant from trial to trial, and subsequent trials are independent. A binomial distribution, which results from counting successes over a series of trials, has only two possible outcomes on each trial
The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.
It is a distribution style with two potential results. Coin flipping is a common use of binomial distribution. There are just two possible outcomes from a coin toss: heads or tails, and each has an equal probability of 50%.
The probabilities of each of the two occurrences are multiplied together to yield the probability of two independent events, and, both occurring: P (A) P (B) = P (A a n d B).
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.
Why is production possibility frontier called the opportunity cost curve?
The Production Possibility Frontier (PPF) is often called the "Opportunity Cost Curve" because it illustrates the concept of opportunity cost.
Opportunity cost is the cost of one alternative in terms of the benefits forgone of the best alternative. In other words, it's the cost of one choice in terms of the best alternative choice.
As we move along the PPF, we can see that as we produce more of one good, we must give up some production of the other good. This trade-off is represented by the slope of the PPF, which is the opportunity cost of producing one good in terms of the other good. The PPF illustrates the relationship between production and opportunity cost by showing the trade-offs that must be made and the opportunity costs associated with different production choices.
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1.
Round 8,274 to the nearest thousand.
8,000
8,270
9,000
8,300
Answer:
8000
Step-by-step explanation:
Since a thousand = 1 000
Rounding to the nearest thousand means rounding to a number that has 3 numbers behind it.
Here with 8 274, since 2 < 5 when rounding you don't add anything to the 8 thousand.
If it was 8 674, you would have had 9 000, because 6 > 5
Solve the system of equations -4x-y=18
Select all correct conversions. 345 m = 0. 345 km
1. 7 cm = 17 mm
343 m = 34. 3 cm
4. 7 m = 47,000 mm
1. 25 km = 1,250 m
Answer:
The answer is 1.25 km = 1,250
1.7 cm =17 mm
345 m = 0.345 km K12 test.
Step-by-step explanation:
The answer is 1.25 km = 1,250
1.7 cm =17 mm
345 m = 0.345 km K12 test.
Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
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