In the figure below, angle 2 measures 145 degrees. What are the measurements of angles 1, 3 and 4?

Answer:

B and C! I just got it right:)

Step-by-step explanation:

The null hypothesis is found as: H0: μ = 5.0

The  alternative hypothesis is found as: Ha: μ ≠ 5.0

The null hypothesis, denoted as H0, states that there is no significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In symbols, the null hypothesis can be represented as:
H0: μ = 5.0

The alternative hypothesis, denoted as Ha, states that there is a significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In words, the alternative hypothesis can be stated as:
Ha: μ ≠ 5.0

Where μ represents the population mean GPA. The alternative hypothesis indicates that there is a difference, either higher or lower, between the mean GPA of students in the university and the reported value.

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Step-by-step explanation:

= P [ 1-R/100 ] T

= 15000 [ 1-12/100] ⁵

= 15000 [100-12/100]⁵

= 15000 [0.88]⁵

= 15000 × 0.52773

= 7915.95..

i hope it's correct....

Answer:

the answer is 40.5!

Step-by-step explanation:

First, you have to add all of the numbers up!

From 6 to 7 inches, the rate of change is 0.25.

From 7 to 11 inches, the rate of change is 0.25.

The function is linear.

Mathematically, the rate of change can be calculated by using this formula;

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x, with the following points (6, 6.25) and (7, 6.50):

Rate of change, m = (6.50 - 6.25)/(7 - 6)

Rate of change, m = 0.25/1

Rate of change, m = 0.25

From 7 to 11 inches, the rate of change is given by:

Rate of change, m = (7.50 - 6.50)/(11 - 7)

Rate of change, m = 1/4

Rate of change, m = 0.25.

Therefore, the function is linear because the rate of change is the same.

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Answer:

12 + t

Hope This Helped :)

Answer:

sebastian has 12+t trophies.

Answer:

9

Step-by-step explanation:

81 ÷ 9 = 9

Answer: Its 9

Step-by-step explanation: You do 3^4 which equals 81 then you do 3^2 which is 9 so then you divide 81 and 9 which is 9.

Answer:

the value of x is twenty nine

Answer:

10 ft 2

Step-by-step explanation:

A=a+b2h=3+72·2=10

Answer:

12%

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

Given:

Substitute given values into the formula and solve for r:

⇒ A = P(1 + rt)

⇒ 2232 = 1800(1 + r · 2)

⇒ 1.24 = 1 + r · 2

⇒ 0.24 = 2r

⇒ r = 0.12

Convert into percentage:

0.12 = 12/100 = 12%

The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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Step-by-step explanation:

replace x with y and y with x

In this example, the treatment refers to the different teaching methods used by the teacher on different groups in her class.

The treatment variable in this scenario is the independent variable that the teacher manipulates, which is the different teaching methods. The teacher applies different teaching methods to different groups within her class to observe and compare the outcomes or results.

By doing so, she can assess which teaching method yields the best results in terms of student learning or achievement. The treatment variable is essential in experimental research as it allows researchers to investigate the impact or effectiveness of different interventions or approaches on the dependent variable, which in this case would be the students' academic performance or progress.


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Step-by-step explanation:

integral of log(log x)+1 /(log x)² is equal tointegral of log(log x)+1 /(log x)² is equal to

Answer:

x = 2

Step-by-step explanation:

\(\frac{5(x-2)}{3} = -x + 2\)

expand left side:

\(\frac{5(x-2)}{3} = -x + 2\\\\\frac{5x-10}{3} = -x + 2\)

multiply both sides by 3:

\(3(\frac{5x-10}{3}) = 3(-x + 2)\\\\ =5x - 10 = -3x + 6\)

Add 3x to both sides:

5x - 10 + 3x = -3x + 6 + 3x

8x - 10 = 6

add 10 to both sides:

8x - 10 + 10 = 6 + 10

8x = 16

divide both sides by 8:

8x/8 = 16/8

x = 2

Given:

A graph of bell peper patch is given as below

Find:

we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.

Explanation:

From the given graph of function p(x), it is observed that the function has maximum value at x = 6.

Therefore, when x = 6, we get

as the function p represents the area of the bell peper patch,

Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.

9514 1404 393

Answer:

  Y = (-1, 5)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...

  (M +R)/2 = (A +Y)/2

  Y = M + R - A . . . . . . multiply by 2 and subtract A

  Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates

  Y = (-1, 5)

Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.

_____

Your teacher may expect the "proof" to be either or both of ...

Given the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.

Slope and Length of MA

  slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3

  length = √(2²+6²) = √40

Slope and Length of AR

  slope = (7 -3)/(5 -3) = 4/2 = 2

  length = √(4² +2²) = √20

Slope and Length of RY

  slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA

  length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA

Slope and Length of YM

  slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR

  length = √((-4)² +(-2)²) = √20 . . . . . .  same as opposite side AR

Opposite sides have the same slopes, so the figure is a parallelogram.

Opposite sides have the same lengths, so the figure is a parallelogram.

the correct answer is : d. S = {math 1 and math 2, science 1 and science 2}

The event A of required math and science courses you could take the first semester of your sophomore year would consist of the possible combinations of one math course and one science course from the given options. Based on the given options, the event A would be :

A = {(math 1, science 1), (math 1, science 2), (math 2, science 1), (math 2, science 2)}

Therefore, the correct answer is : d. S = {math 1 and math 2, science 1 and science 2}

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Answer:

0.02464456

Step-by-step explanation:

Since the exponent is a negative number we know that it is going to be below 1 which is why the answer looks very confusing

The two samples must be independent, which means that the results of one sample should not influence the results of the other.

To lead a hypothesis test for the contrast between two examples implies, certain prerequisites should be met. The examples, right off the bat, should be free, implying that the two examples ought to be arbitrarily chosen and the people in a single example ought not to be available in another example.

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Answer:

3 3/4

Step-by-step explanation:

2 1/4 = 9/4

9/4 ÷ 6 = 3/8 1 cookie

3/8 × 10 = 3 3/4 10 cookies

Please give me brainliest ;)

Answer:

3.75

Step-by-step explanation:

2.25 = 6 dozen cookies

? = 10 dozen cookies

Cross multiply,

10 × 2.25÷6

=3.75

The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

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Answer:

12 feet

Step-by-step explanation:

just convert 4 yards into feet

Answer:

6.25 or 6 1/4

Step-by-step explanation:

first divide 5/4

then multiply 25/4

simplify 6.25

To factor 1 out of 3 we divide 3 by 1

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

For example to factor out 4 out of 20. It shows that 4 is a factor of of 20 and to get the other factor we divide 20 by 4. This means that 20/4 = 5. This shows that 4 and 5 are factors of 20.

Similarly to factor out 1 over 3, we divide 3 by so as to get the other factor. This means that 3/1 = 3.

This shows that 3 and 1 are factors of 3

Therefore to factor a number(x) over another number(y) we divide the y by x

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Using trigonometric identities, it is found that the exact value of the secant of the angle is given by:

c. \(\sec{\theta} = - \sqrt{5}\)

According to the following identity:

\(\sec^2{\theta} = 1 + \tan^2{\theta}\)

The tangent is the inverse of the cotangent, hence in this problem, we have that:

\(\tan{\theta} = -2\)

Then, the secant is given as follows:

\(\sec^2{\theta} = 1 + (-2)^2\)

\(\sec^2{\theta} = 5\)

\(\sec{\theta} = \pm \sqrt{5}\)

The angle is in the second quadrant, where the cosine is negative, hence the secant also is and option c is correct, that is:

c. \(\sec{\theta} = - \sqrt{5}\)

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P(X ≤ 5) is 0.5102, b) P(4.5 ≤ X ≤ 5) is 0.09694, c) P(X>5) is 0.3827, d) the median is 4.9497, e) the density function is 0 , x<0   f(x) = 2x/49 , 0 ≤ x ≤7       0, 7≤ x       f) the variance and standard deviation are 2.7222 and 1.64991 respectively, while h) E(h(x)) is 24.5.

Here it is given that the CDF of the distribution is

0 , x<0

F(x) = x²/49 , 0 ≤ x ≤ 7

1, 7≤ x

a)

We need to find P(X ≤ 5)

Since we will have to sum up all values from (X=0) to  P(X ≤ 5)

This implies we need to find F(X=5)

This can be easily found in the formulae where we get

F(X=5) = 5²/49

= 0.5102

b) To calculate P(4.5 ≤ X ≤ 5)

We can calculate the following by subtracting F(X=4.5) from F(X=5)

=  25/29 - 4.5²/49

= 4.75/49

= 0.09694

c)

P(X>5.5)

= 1 - P(X≤5.5)

= 1 - F(X = 5.5)

= 1 - 5.5²/49

= 0.3827

d)

Let the median be x.

A median divides the cumulative frequency into 2 equal halves.

Therefore, the value of F(X=x) = 0.5

=> x²/49 = 0.5

or, x² = 24.5

or, x = 4.9497

e)

To obtain the density function, f(x0 we must differentiate the cumulative distribution function with respect to x.

Doing so will give us

0 , x<0

f(x) = 2x/49 , 0 ≤ x ≤ 7

0, 7≤ x

f)

Since f(x) is clearly a continuous probability distribution function

E(X) = ∫xf(x)dx with limits 0 to 7

= ∫2x²/49dx with limits 0 to 7

= 2x³/147 with limits 0 to 7

Applying the limits gives us

686/147

= 4.6667

g)

V(X) = variance of f(x)

= E(X²) - E²(X)

E(X²)

= ∫2x³/49dx with limits 0 and 7

= x⁴/98 with limits 0 to 7

= 24.5

Hence

V(X) = 24.5 - 21.7778

= 2.7222

σ(x) = √V(X)

= 1.64991

h)

Now here instead of being charged X amount i.e x²/49, the borrower is being charged X² amount which is (x²/49)².

We need to compute the expected charge E[h(X)]

= E(X²)

This we already know is 24.5

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By evaluating the linear equation in t = 5 seconds, we will see that the distance traveled is 271.93 feet.

Here we know that the line that defines the distance traveled by the ball (y) as a function of time (t) is:

y = 3.98 + 53.59*t

Now we want to predict the distance traveled y the ball if it travels for 5 seconds, so we just need to evaluate the above linear equation in t = 5.

So we will get:

y = 3.98 + 53.59*5  = 271.93

So we conclude that the distance traveled in that time is 271.93 feet.

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Answer: 271.93 feet

Step-by-step explanation:

I took the test