WXYZ is a kite. If the measure of angle WXY is 120°, the measure of angle WZY is 4x° and the measure of angle ZWX is 10x°, find the measure of angle ZYX.

Answers

Answer 1

Answer:

100 degrees

Step-by-step explanation:

Remark

The endpoints of the smaller diagonal of a kite, intersect the vertexes of 2 equal angles. Put in simpler language, if x is at the top of the kite and x is the vertex of the larger angle between the top and bottom angles, then the other two angles (left and right) are equal.

In still simpler language. <W = <Y

Equation

<X + <W + <Z + <Y = 360               All quadrilaterals have 360 degrees for their interior angles.

Givens

<X = 120<W = 10x<Z = 4x <Y = 10x

Solution

120 + 10x + 10x + 4x = 360      Gather like terms on the left120 + 24x = 360                       Subtract 120 from both sides120- 120 + 24x = 360 - 120      consolidate 24x = 240x = 10

Answer

Since <ZYX = 10x<ZYX = 10*10 = 100 degrees.
WXYZ Is A Kite. If The Measure Of Angle WXY Is 120, The Measure Of Angle WZY Is 4x And The Measure Of
Answer 2

Answer:

100

Step-by-step explanation:

Angle ZWX and angle ZYX are congruent.

360 = 120 + 4x + 10x + 10x

360 = 120 + 24x

240 = 24x

10 = x

The measure of angle ZYX is equal to 10(10) = 100°


Related Questions

My answer is probably wrong, so can someone help me get the right one?

Answers

Answer:

The correct answer option is [tex]f(x)=-\frac{1}{2} x+3[/tex].

Step-by-step explanation:

We will take easy (clear) points on the graph i.e. (0, 3) and (6, 0) and use them to find the equation of the line given on the graph.

To find the slope:

Slope = [tex]\frac{0-3}{6-0} =-\frac{1}{2}[/tex]

Putting the values of the coordinates of one of the chosen points and slope of the line in the standard form of equation of a line to find the y-intercept (c).

[tex]y=mx+c[/tex]

[tex]3=-\frac{1}{2} (0)+c\\\\c=3[/tex]

So the equation of the graphed line in terms of f(x) will be:

[tex]f(x)=-\frac{1}{2} x+3[/tex]

I really need help. This is very confusing for me. NEED HELP!!!

Answers

Answer:

(16)

Given the statement: Elmwood st. and oak Dr. are the same distance.

All intersection are perpendicular.

To prove that: Peach Dr. tree is the same distance as Sycamore Ln.

It given that all the intersection are perpendicular which means each interior angles are of [tex]90^{\circ}[/tex]

By rectangle properties:

Each of the interior angles are [tex]90^{\circ}[/tex]The opposite sides of the rectangle are equalThe diagonal of a rectangles bisects each other.

Since, Elmwood st. and oak Dr. are the same distance.

then, by rectangle properties;

Peach Dr. tree is the same distance as Sycamore Ln            proved!

6.10

(11)

Given: [tex]\angle A \cong \angle T[/tex] , [tex]\overline{MA} \cong \overline{HT}[/tex]

To prove: [tex]\triangle MAX \cong \triangle HTX[/tex]

In ΔMAX and ΔHTX

[tex]\angle A \cong \angle T[/tex]    [Angle]               [Given]

[tex]\overline{MA} \cong \overline{HT}[/tex]      [Side]     [Given]

Vertical angle theorem states that angles that are opposite each other.

Since, these angles are formed when two lines cross each other.

And also vertical angles are congruent to each other.

Since,  [tex]\angle MXA[/tex] , [tex]\angle HXT[/tex]  are vertical angles

[tex]\angle MXA \cong \angle HXT[/tex]      [Vertical angles are congruent]

AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then those triangles are congruent.

Then, by AAS theorem,

[tex]\triangle MAX \cong \triangle HTX[/tex]

(14)

Given: [tex]\overline{AX} \cong \overline{TX}[/tex] , [tex]\angle A \cong \angle T[/tex]

Prove that:  [tex]\overline{MX} \cong \overline{HX}[/tex]

In [tex]\triangle MXA[/tex] and [tex]\triangle HXT[/tex]

[tex]\overline{AX} \cong \overline{TX}[/tex]   [Side]          [Given]

[tex]\angle A \cong \angle T[/tex]       [Angle]                  [Given]

[tex]\angle MXA \cong \angle HXT[/tex]      [Vertical angles are congruent]

ASA (Angle -Side-Angle) theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then these triangles are congruent.

then by ASA theorem;

[tex]\triangle MAX \cong \triangle HTX[/tex]

CPCT [Corresponding Part of Congruent triangles are congruent.]

⇒[tex]\overline{MX} \cong \overline{HX}[/tex] [By CPCT]        proved!

Perry set450 chairs up perry put 20 chairs in a row he already set up15 rows howmany more chairs he need to set up

Answers

450 chairs total
20 chairs per row
15 rows already set up
15×20=300
300 chairs already up
450-300=150
150 chairs left to set up

Solve the linear equation.



7x+10=13(12x−3)+14x



Enter your answer in the box.

x =

Answers

[tex]7x+10=13(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=(13)(12x)+(13)(-3)+14x\\\\7x+10=156x-39+14x\\\\7x+10=170x-39\qquad\text{subtract 10 from both sides}\\\\7x=170x-49\qquad\text{subtract 170x from both sides}\\\\-163x=-49\qquad\text{divide both sides by (-163)}\\\\\boxed{x=\dfrac{49}{163}}[/tex]

He price of a shampoo, cut, and style at the hairstyling salon where you work is $18.00. You generally get a 20% tip from each customer, and the salon owner pays you 1/4 of each job's cost. On a typical day, you give shampoos, cuts, and styles to 8 customers. About how much can you expect to earn on such a day?

Answers

Answer:

total earning is  $64.80

Step-by-step explanation:

Price of one work = $18.00

Payment  by owner = 1/4 of $18.00

                                 = 18/4

                                  = $4.50

Earning by tip =  20% of $18.00 =  20/100 x18 = 3.60

Total earning from one work   =   $4.50+$3.60

                                                = $ 8.10

Earning from 8 tips =  8x8.10

                                = $64.80

                 


When it comes to equity, what does it mean to have negative equity or be under water?

Answers

Answer:

The amount owed is greater than the cars worth (apex)

Step-by-step explanation:

Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function.

Answers

Answer:

Option b is correct.

Linear function ;

y =2x

Step-by-step explanation:

The formula y=f(x)=mx +c  ......[1]  is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.

Consider any points from the table;

(1, 2) and (2, 4)

substitute these point in [1] we get;

for (1, 2)

⇒x = 1 and f(x) = 2 we have

2 = m + c      

or

c = 2- m                       ......[1]

for (2, 4) we have;

4 = 2m + c                       .....[2]

Now, substitute equation [1] into [2] we get;

4 = 2m + 2 -m

Combine like terms;

4 = m + 2

Subtract 2 from both sides we get;

4 -2 = m +2 -2

Simplify:

2 = m or

m = 2

Substitute the value of m = 2 in [1] to solve for c;

c = 2 -2 = 0

c =0

⇒ y = 2x +0

y = 2x

therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x




Answer:

Option B. y = 2x

Step-by-step explanation:

The given table in the question is

x      0       1       2       3      4      

f(x)   0       2      4       6      8

As we know if the function is exponential or in the form of [tex]f(x) = (a)^{x}[/tex] then for x  = 0 value of this exponential function will be f(0) = 1 but as per table f(0) = 0, so the given function is not an exponential function.

Therefore the given function is a linear function.

Linear function is always in the form of y = mx + c

Now f(0) = m×0 + c = 0

c = 0

f(1) = m×1 = 2

m = 2

Now we replace the values of m and c in y = mx + c

The equation will be y = 2x.

Option B. y = 2x is the answer.

Has anyone done the answers for Algebra 2 EOCA Semester 1 Final with 35 questions???

https://www.instagram.com/p/BrmVYxdng6E/?utm_source=ig_share_sheet&igshid=48phrkm4370w
55 points for all answers correctly answered please. Need done ASAP by tomorrow morning

Answers

Answer:

Correct choices are A and D.

Step-by-step explanation:

According to the table for the given function [tex]h(x),[/tex] you can write the same table for the inverse function [tex]h^{-1}(x).[/tex] With this aim change [tex]x[/tex] into [tex]h^{-1}(x)[/tex] and [tex]h(x)[/tex] into x:

[tex]\begin{array}{ccccccc}x&2&5&8&11&14&17\\h^{-1}(x)&0&1&2&3&4&5\end{array}[/tex]

Then you can see that points (5,1) and (2,0) are on the graph of the inverse function.

17. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y - 2 = 7/3 (x + 5); (-4, 9)

Answers

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the line in point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\y-2=\dfrac{7}{3}(x+5)\to m_1=\dfrac{7}{3}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{7}{3}}=-\dfrac{3}{7}.\\\\\text{We have the slope}\ m=-\dfrac{3}{7}\ \text{and the point}\ (-4,\ 9).\ \text{Substitute:}\\\\y-9=-\dfrac{3}{7}(x-4))\\\\\boxed{y-9=-\dfrac{3}{7}(x+4)}[/tex]

Complex Roots Problem #5

Answers

Question: if a parabola never touches the x axis, then it doesn't have any real roots or solutions

Answer: True

A real solution only occurs if the graph touches or crosses  the x axis, as the x intercept (or root) is a visual indication of a real number solution. In this case, we have 2 complex solutions for the parabola

--------------------------------------------------------------

Question: What number is equivalent to sqrt(-49) ?

Answer: choice A) 7i

Simplify as follows

sqrt(-49) = sqrt(-1*7^2)

sqrt(-49) = sqrt(-1)*sqrt(7^2)

sqrt(-49) = i*7

sqrt(-49) = 7i

note: be careful not to toss in -7i as one of the answers, because it's not. The square root of a number is exactly one output. For instance, if you take the square root of 25, the result is 5 (not plus or minus 5).

Drew bout a chemistry book for $30. Later that book was marked down by 20%. By how much has the value been decreased

Answers

The answer is $24

To find the answer, multiply 30 by 20% than divide by 100%. The answer is 6. So, subtract $6 from $30 which equals $24

Which method is used to reduce a fraction to its lowest form? FOIL method Inverse operations method Cancellation method Addition-subtraction method

Answers

Answer: Cancellation method

Step-by-step explanation:

You divide the denominator by  the denominator number to cancel the fraction out.


Final answer:

The Cancellation method is used to simplify a fraction to its lowest form. It is done by finding the Greatest Common Divisor (GCD) of the numerator and the denominator and dividing both by this number.

Explanation:

The method used to reduce a fraction to its lowest form is the Cancellation method. This method involves finding the greatest common divisor (GCD) of the numerator and the denominator of the fraction. Once the GCD is found, divide both the numerator and the denominator by this number. This will reduce the fraction to its simplest or lowest form. For example, if we have the fraction 6/8, the GCD of 6 and 8 is 2. Dividing both 6 and 8 by 2, we retrieve the reduced fraction which is 3/4.

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Both the football and volleyball teams have games today. The football team plays every 7 days. The volleyball team plays every 3 days. When will both teams have games on the same day again? A. in 14 days c. in 7 days b. in 21 days d. in 10 days

Answers

When u have 14 times and the other 10

The least common multiple of 7 and 3 is 21, so both the football and volleyball teams will have games on the same day again in 21 days.

The question requires us to determine when the football and volleyball teams will have games on the same day again. Since the football team plays every 7 days and the volleyball team plays every 3 days, we are looking for the least common multiple (LCM) of 7 and 3, which represents the number of days until both teams will have games on the same day again.

To find the LCM of 7 and 3, we can list the multiples of each number until we find a common multiple:

Multiples of 7: 7, 14, 21, 28, ...

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...

The first common multiple we encounter is 21. Therefore, both teams will have games on the same day again in 21 days.

Brad went skiing at Snowfall Lodge on Cone Mountain (a mountain shaped like a perfect right cone) for his spring break vacation. During his stay, he decided to go down the park's black diamond speed trail which is a straight path down the side of the mountain. The trail starts at the very top of the mountain and is 3,150 feet long. If the radius of Cone Mountain is 1,890 feet, how tall is Cone Mountain? A. 1,260 feet B. 2,835 feet C. 2,520 feet D. 3,675 feet

Answers

The height of Cone Mountain, given the trail length and the radius, would be C. 2,520 feet

How to find the height ?

To find the height of Cone Mountain, we can use the properties of a right circular cone. The key relationship we'll use is the Pythagorean theorem :

[tex]l^2 = r^2 + h^2[/tex]

The slant height (l) is the length of the trail, which is 3,150 feet.

The radius (r) is 1,890 feet.

Pythagorean theorem:

[tex](3,150)^2 = (1,890)^2 + h^29,922,500 = 3,572,100 + h^2[/tex]

Make h the subject:

[tex]h^2 = 9,922,500 - 3,572,100\\h^2 = 6,350,400[/tex]

Take the square root of both sides to find h:

h = √(6,350,400)

h = 2,520 feet

Find the following measure for this figure. Area of base= 6 square units, 8 square units. 12 square units

Answers

Answer:

8 square units

Step-by-step explanation:

Base area= Length* width

Base area= 4* 2

Base area= 8 square units

Answer:

8 square units

Step-by-step explanation:

Base area= Length* width

Base area= 4* 2

Base area= 8 square units

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

Which of the following is the equation for the line graphed below?

A. 5x + 4y = 12
B. 5x - 4y = 12
C. 5x + 4y = -12
D. 5x - 4y = -12

Answers

Answer:

B. 5x - 4y = 12

Step-by-step explanation:

Let's convert this to slope-intercept form to interpret the equation easier.

5x - 4y = 12

Subtract 5x from both sides.

-4y = -5x + 12

Divide both sides by -4.

y = 5/4x - 3

Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.

Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 sin(x) + 5 cos(x), 0 ? x ? 2? (a) find the interval on which f is decreasing. (enter your answer using interval notation.)

Answers

Answer: [tex]\bold{[\dfrac{\pi}{4},\dfrac{5\pi}{4}]}[/tex]

Step-by-step explanation:

Step 1: Create a table

x    |   5sinx + 5cosx = y

0    |       0    +     5     =   5

[tex]\frac{\pi}{2}[/tex]   |        5    +     0    =   5

π    |        0    +    -5    =  -5

[tex]\frac{3\pi}{2}[/tex]    |       -5    +     0    =  -5

2π |        0    +      5    =   5


Notice that y = 5 at 0 and [tex]\frac{\pi}{2}[/tex] , so there will be a vertex at their midpoint.  Similarly at y = -5.

Midpoint of 0 and [tex]\frac{\pi}{2}[/tex]  is [tex]\dfrac{\pi}{4}[/tex] . Midpoint of π and [tex]\frac{3\pi}{2}[/tex] is [tex]\dfrac{5\pi}{4}[/tex]

(graph is attached to confirm interval)

Sara is mixing together a fruit punch for a party. She's made 6 gallons of punch with a mixture of 50% juice. Her mother tells her to change it to a mixture of 70% juice. How much fruit juice should be added to make the mixture 70% fruit juice (round to the nearest hundredth)?

Answers

Final answer:

To adjust the fruit punch from 50% to 70% juice, Sara needs to add 4 gallons of fruit juice to the existing 6 gallons of punch.

Explanation:

The student is attempting to adjust the concentration of juice in a fruit punch mixture from 50% to 70%. Initially, Sara has 6 gallons of punch which is 50% juice. To find out how much fruit juice should be added to reach a 70% juice mixture, we can use the equation of concentration:

Let the amount of juice to be added be x gallons. The total amount of juice in the mixture would then be 50% of 6 gallons plus x gallons, and the total volume of the mixture would be 6 gallons plus x gallons.

The equation representing the new concentration is:

(3 + x) / (6 + x) = 70/100

To solve for x, multiply both sides by (6 + x) and then by 100 to clear the percentage and denominator:

3 + x = 0.7 * (6 + x)

3 + x = 4.2 + 0.7x

Now, subtract 0.7x from both sides:

3 + 0.3x = 4.2

And then subtract 3 from both sides:

0.3x = 1.2

Divide both sides by 0.3 to solve for x:

x = 4 gallons

Therefore, Sara needs to add 4 gallons of fruit juice to the existing punch to create a mixture that is 70% juice, rounding to the nearest hundredth.

Write the first five terms of the sequence defined by the recursive formula

Answers

Answer:

The correct answer option is: [tex]S_9=\frac{9}{2} (2+26)[/tex]

Step-by-step explanation:

We know that,

the sum of the first [tex]n[/tex] terms of an Arithmetic Sequence is given by:

[tex]S_9=\frac{n(a_1+a_n)}{2}[/tex]

where [tex]n[/tex] is the number of terms,

[tex]a_1[/tex] is the first term of the sequence; and

[tex]a_n[/tex] is the first term of the sequence.

So for [tex]a_n=3n-1[/tex],

[tex]a_1=3(1)-1=2[/tex]

and

[tex]a_9=3(9)-1=26[/tex]

Putting these values in the formula to get:

[tex]S_9=\frac{9(a_1+a_9)}{2}[/tex]

[tex]S_9=\frac{9(2+26)}{2} \\\\S_9=\frac{9}{2} (2+26)[/tex]

First five terms:

[tex]a_1=3(1)-1=2[/tex]

[tex]S_1=\frac{1(2+2)}{2}[/tex]=2


[tex]a_2=3(2)-1=5[/tex]

[tex]S_2=\frac{2(2+5)}{2}[/tex]=7


[tex]a_3=3(3)-1=8[/tex]

[tex]S_2=\frac{3(2+8)}{2}[/tex]=15


[tex]a_4=3(4)-1=11[/tex]

[tex]S_4=\frac{4(2+11)}{2}[/tex]=26


[tex]a_5=3(5)-1=14[/tex]

[tex]S_5=\frac{5(2+14)}{2}[/tex]=40



Answer: the corrrect one is A s9=9/2(2+26)


Solve the linear equation.



7x+10=1/3(12x−3)+14x



Enter your answer in the box.

Answers

[tex]7x+10=\dfrac{1}{3}(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=\dfrac{1}{3}\cdot12x-\dfrac{1}{3}\cdot3+14x\\\\7x+10=4x-1+14x\\\\7x+10=18x-1\qquad\text{substitute 10 from both sides}\\\\7x=18x-11\qquad\text{subtract 18x from both sides}\\\\-11x=-11\qquad\text{divide both sides by (-11)}\\\\\boxed{x=1}[/tex]

Answer:

I believe the correct awnser is x=1 I took the test

M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Answers

2(x+3)= 3x-1
2x+6=3x-1
X=7
Therefore
YM = 7+3= 10
And by definition of midpoint YM=MZ so MZ=10

Find the slope of the line

Answers

Answer: 1/4


Step-by-step explanation:

Take any two point on the line: my starting point is -4,0 and I will be moving to 0,1.

Remember that slope = rise/run, so count up one and go to the right 4 to get to 0,1, so it would be 1/4.

Hopefully that explains it!

We can use the points (4, 0) and (0, 1) to solve.

Slope formula: y2-y1/x2-x1

= 1-0/0-4

= 1/4

Best of Luck!

PLEASE HELP ME WITH THIS PROBLEMS 1.

Answers

Answers: -4, 5

Step-by-step explanation:

[tex]e^{x^{2}}=e^{x}*e^{20}[/tex]

[tex]e^{x^{2}}=e^{x+20}[/tex]

x² = x + 20

x² - x - 20 = 0

(x + 4)(x - 5) = 0

x + 4 = 0      x - 5 = 0

 x = -4            x = 5

**************************************************

Answers:

a. domain: (-∞,∞)b. range: (-∞, 0)c. y-intercept: [tex]-\dfrac{1}{8}[/tex]d. horizontal asymptote: y = 0e. graph: see attachment

Step-by-step explanation:

domain: there are no restrictions on the x-value so x = All Real Numbers

range: since the new graph has a reflection then y < 0

y-intercept is when x = 0:

y = -2⁰⁻³     = -2⁻³     = [tex]-\dfrac{1}{2^{3}}[/tex]   = [tex]-\dfrac{1}{8}[/tex]

horizontal asymptote: y ≠ 0 so the H.A. is y = 0

graph:  The parent graph is: y = 2ˣ

The new graph of y = -2ˣ⁻³ has the following transformations:

reflection over the x-axishorizontal shift 3 units to the right

***************************************************************************

graph: see attachment

(0, 0) and (-1/3, 1)

(-1, ∞)

x = -1



The surface area of a right circular cylinder of height 2 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3.

24π
64π
20π
16π

Answers

S(r) = 2pi*r*h + 2pi*r^2

S ' (r) = 2pi*h + 2*2*pi*r .... differentiate with respect to r

S ' (r) = 2pi*h + 4pi*r

S ' (3) = 2pi*h + 4pi*3 ... plug in r = 3

S ' (3) = 2pi*h + 12pi

S ' (3) = 2pi*2 + 12pi .... plug in h = 2

S ' (3) = 4pi + 12pi

S ' (3) = 16pi

---------------

Answer: D) 16pi

The instantaneous rate of change of the surface area with respect to the radius, r, when r = 3, is 16π

What is cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.

Given that, the surface area of a right circular cylinder of height 2 feet and radius r feet is given by S(r) = 2πrh+2πr².

We need to find, the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3.

Taking the differentiation, of the formula given, S(r) = 2πrh+2πr². w.r.t radius r,

d [S(r)] / dr = 2πh + 4πr

= 2π [h + 2r]

Put h = 2, r = 3

= 16π

Hence, the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3, is 16π

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Please answer this question! Thirty points and brainliest!

Answers

Answer:

d. 40

Step-by-step explanation:

x/4 - 7=3

Add 7 to both sides

x/4 - 7+7=3+7

x/4 = 10

Multiply by 4 on each side

x/4*4 = 10*4

x = 40

Answer:The Answer of this probelm is D 40.


Step-by-step explanation:

x/4 - 7=3

First you need to add 7 to both sides

x/4 - 7+7=3+7

x/4 = 10

second you need to multiply by 4 on each side

x/4*4 = 10*4

Once you finish this should be your final answer right here x = 40

Hope this helps



Points S,U, and T are the midpoints of the sides of PQR. Which statements are correct ? 1/2QP=UT 1/2TS=RQ SU=PR SU||RP UT=RP

Answers

Answer:

A) 1/2QP=UT

D) SU II RP

Step-by-step explanation:

A & D ARE THE ANSWERS

Final answer:

The correct statements are 1/2QP=UT and SU||RP.

Explanation:

In this question, we are given that points S, U, and T are the midpoints of the sides of triangle PQR. We need to determine which statements are correct.

1/2QP=UT: This statement is correct. Since S, U, and T are midpoints, we know that SU is parallel to PQ and UT is parallel to QR. Therefore, by the Midpoint Theorem, we have 1/2QP = UT.SU=PR: This statement is incorrect. Since S and U are midpoints, we know that SU is parallel to QR, not PR.SU||RP: This statement is correct. Since S and U are midpoints, we know that SU is parallel to QR. Therefore, SU is also parallel to RP.UT=RP: This statement is incorrect. Since U and T are midpoints, we know that UT is parallel to PQ, not RP.

The American Veterinary Medical Association believes that half of veterinary clinics do not treat large animals (cows, horses, etc.). The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). In the survey of 120 randomly selected veterinary clinics throughout the country, 88 responded they do not treat large animals. The test statistic for the above hypothesis test about the proportion of clinics that do not treat large animals is... (Round your answer to two decimal places)

Answers

Final answer:

The test statistic for the hypothesis test regarding the proportion of veterinary clinics that do not treat large animals is approximately 5.11, calculated using the formula for the test statistic of a proportion.

Explanation:

The student is asking about calculating a test statistic for a hypothesis test concerning the proportion of veterinary clinics that do not treat large animals such as cows and horses. The proportion as per the American Veterinary Medical Association's belief is 0.5, and the survey conducted has resulted in 88 out of 120 clinics stating they do not treat large animals. To find the test statistic, we can use the formula for the test statistic of a proportion:

Test Statistic (Z) = (p - P₀) / √(P₀(1 - P₀)/n), where p is the sample proportion, P₀ is the null hypothesis proportion, and n is the sample size.

In this case:

p = 88/120

P₀ = 0.5 (as per the hypothesis)

n = 120

Substituting these values, we get:

Z = (88/120 - 0.5) / √(0.5 * (1 - 0.5) / 120) = (0.7333 - 0.5) / √(0.25 / 120) = 0.2333 / √(0.0020833) = 0.2333 / 0.04564 ≈ 5.11

Therefore, the test statistic is approximately 5.11, when rounded to two decimal places.

Work out the total charge for these tickets when paying by credit card.

Answers

Billy wants tickets huh okay.....

Alright so first off what information do we have?

We know that 4 adult tickets are 15 Euros each

2 child tickets are 10 Euros each

Ok simple calculations here

4*15 = 60

2*10 = 20

Total is 80 Euros charge

10% booking fee

so 10% of 80 is 8 (Add this onto the total bill) = 88

3% of 88 is (well 1% is 0.88 3% is 0.88 * 3 = 2.64)

Total bill now is 90.64 (Might aswell add taxes now poor billy spending a 100)


By the way your answer is 90.64

Identify the values of the variables. Give your answers in simplest radical form. PLEASE HELP!!

Answers

First question:

By definition of sine and cosine, we have

[tex]\sin30^\circ=\dfrac h{\sqrt5}\implies h=\dfrac{\sqrt5}2[/tex]

[tex]\cos30^\circ=\dfrac g{\sqrt5}\implies g=\dfrac{\sqrt{15}}2[/tex]

Second question:

By definition of tangent, we have

[tex]\tan60^\circ=\dfrac{5\sqrt2}x\implies x=\dfrac{5\sqrt2}{\sqrt3}=\dfrac{5\sqrt6}3[/tex]

Then by Pythagoras' theorem,

[tex](5\sqrt2)^2+x^2=y^2\implies y=\sqrt{(5\sqrt2)^2+\left(\dfrac{5\sqrt6}3\right)^2}=\sqrt{50+\dfrac{50}3}=\sqrt{\dfrac{200}3}=\dfrac{10\sqrt6}3[/tex]

if you set x+5 = 0
the term inside the cube
then solve for x

Answers


[tex] - 5 + 5 = 0[/tex]
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