Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?

The probability that a student is a female given that they have an A is; 2/7

From the given table, we see that;

Number of males that got A = 4

Number of males that did not get A = 8

Number of females that got A = 6

Number of females that did not get A = 3

The probability that a student is a female given that they have an A is;

P(Female|A) = 6/(4 + 8 + 6 + 3)

P(Female|A) = 6/21 = 2/7

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Answer:

No

Step-by-step explanation:

3/4 of 50 is 37.5, so 35 states will not be enough

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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The fully simplified equivalent of the given expression as required in the task content is; 18x²y³.

It follows from the task content that the fully simplified equivalent of the given expression be determined.

Since the given expression is;

3x³y⁶ / 6xy³

It follows from the product of powers rule of indices that we have;

3 • 6 • x^( 3 -1 ) • y^( 6 -3 )

= 18x²y³

Therefore, the required fully simplified equivalent of the expression using only positive exponents is; 18x²y³.

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Answer:

20 questions

Step-by-step explanation:

10 divided by 20 is 0.9 which would be 90%

Answer:

11.5

Step-by-step explanation:

Answer:

c. 30

Step-by-step explanation:

Reference angle = \( /theta \) = ?

Hypotenuse = 23

Adjacent side = 20

Thus, applying CAH:

\( Cos(/theta) = \frac{adj}{hyp} \)

\( Cos(/theta) = \frac{20}{23} \)

\( /theta = cos^{-1}(\frac{20}{23}) \)

\( /theta = 29.5918458 \) ≈ 30° (nearest degree)

Answer:

Area of ∆EDF = 9.6 in.²

Step-by-step explanation:

Given:

∆BAC ~ ∆EDF

Area of ∆BAC = 15 in.²

EF = 4 in.

BC = 5 in.

Required:

Area of ∆EDF

SOLUTION:

The ratio of the area of two similar shape = the ratio of the square of their corresponding side lengths

Let x represent the area of ∆EDF

Therefore:

15/x = 5²/4²

15/x = 25/16

Cross multiply

x×25 = 15×16

25x = 240

Divide both sides by 25

x = 240/25

x = 9.6

Area of ∆EDF = 9.6 in.²

Answer:

D. 4 5/13

Step-by-step explanation:

For every time we divide by 13, we consider that a whole number. The whole number is the number on the outside of the fraction. It is equal to 13/13 in this case. So, we can divide 57 by 13, 4 times and have 5/13 left over. Therefore, the answer is D. 4 5/13! :)

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

Answer:

x=22

Step-by-step explanation:

3x+3+27+x+3+2x+18=180

6x+48=180

6x=132

x=22

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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After analyzing, it can be concluded that the functions f and g are:

A. f(0) is larger than g(0).

B. f(3) is larger than g(3).

To determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).

Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).

To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.

For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer: 97

Step-by-step explanation:

Formula to compute the required sample size :

\(n= (\dfrac{\sigma\times z_{\alpha/2}}{E})^2\)

, where \(\sigma\) = standard deviation

E= Margin of error

\(z_{\alpha/2}\) = Two tailed z-value.

Here, E= 20

\(\sigma\) = 100

For 95% confidence level: \(z_{\alpha/2}\) =1.96

Required sample size:

\(n=(\dfrac{100\times1.96}{20})^2\\\\=(5\times1.96)^2\\\\=96.04\approx97\)

Hence, the required sample size : 97

Answer:Its Either A B C OR D

Step-by-step explanation:

I Think It's A

The coefficient of the term of degree two in the polynomial \(x^{6} + 3 - 2x^{2} + 4x^{7} - 4x\) is 2

Polynomial is defined as an expression formed by the combination of a constant value and a same variable having different degrees (also called as powers).

Coefficient of the term of degree 2 in the polynomial \(x^{6} + 3 - 2x^{2} + 4x^{7} - 4x\) is 2 because the term \(2x^{2}\) is having the variable as x and its degree as 2 and the attached constant value is 2.

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Answer:

5 m

Step-by-step explanation:

The area of a rectangle is found by doing length times width. To find a side length, or the width, do area divided by the length. In this case, it would be 40 divided by 8. 40/8 is 5 so the width is 5 m.

The width is 5 m.

Answer: 400

Step-by-step explanation:

Answer:

i dunoo

Step-by-step explanation:

Answer:

12 + 2.75h ≠ 30

Or

31.26 ≠ 30

Step-by-step explanation:

12 + 2.75h = 30

We want to single out the variable so subtract 12 from both sides.

12 + 2.75h = 30

-12 -12

Now we can move down the number and then divide.

12 + 2.75h = 30

-12 -12

2.75h = 18

h ≠ 6.54545454(A repeating number.)

Since this is a repeating number we’ll take the whole number and multiply it by 2.75. Then we’ll add the 12 and compare.

2.75 x 6 = 16.5 + 12 = 28.5 < 30

28.5 is less than 30 so this is true correct answer. See what happens when you add another 2.75.

28.5 + 2.75 = 31.25 > 30

The question says *at most* meaning it’s can be equal to or less than 30. 31.25 is great than 30 so it cannot be this number.

There’s your answer.

Either 12 + 2.75 ≠ 30 or 31.25 ≠ 30

Answer:

it is 1.

Step-by-step explanation:

brainliest plz

Answer:

12

Step-by-step explanation

Answer:

i am not sure to my answer

my answer is letter D

Answer:

yes answer is d.. this is clear

Remember to make use of the grid paper to maintain accuracy and proportionality across all four views.

Certainly! Below is a verbal description of how you can draw the four different views of the object on square grid paper:

Left View: Start by drawing the left side of the object as you would see it from a leftward perspective.

Capture its shape, height, and any visible features. Use the grid lines to maintain proportion and accuracy.

Back View: Move to the back of the object and draw what you see from that viewpoint.

Focus on its rear-facing details, contours, and any distinguishing characteristics. Utilize the grid paper to ensure proper alignment.

Front View: Now, face the object directly and draw its front view. Pay attention to its overall shape, dimensions, and any frontal features or patterns.

Utilize the grid lines to maintain symmetry and precision.

Right View: Finally, position yourself on the right side of the object and draw its appearance from that angle.

Portray the right-facing side, capturing its unique attributes and maintaining consistency with the previous views.

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Answer:

this is your answer hope u like it

Answer:

0

Step-by-step explanation:

Answer:

H0 : μ = 38

H 1 : μ < 38

Test statistic = - 1.11

Pvalue = 0.13

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Step-by-step explanation:

H0 : μ = 38

H 1 : μ < 38

The test statistic :

(xbar - μ) ÷ (s / sqrt (n))

(36.1 - 38) ÷ (10.8 / sqrt(40))

-1.9 ÷ 1.7076299

= - 1.113

= - 1.11 ( 2 decimal places)

α = 0.10

Using the value calculator :

P(Z < - 1.113) = 0.13285

Pvalue = 0.13285

Pvalue = 0.13 ( 2 decimal places)

Reject the Null if Pvalue < α

Since; 0.13285 > 0.01 ; We fail to reject the Null

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)