20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.
0=7pi/6

Answers

Answer 1

Answer:

(-[tex]\frac{\sqrt{3}}{2}[/tex],-[tex]\frac{1}{2}[/tex])

Step-by-step explanation:

20 POINTS!!!!! Find The Corresponding Point On The Unit Circle For The Given Radian Measure.0=7pi/6
Answer 2

The corresponding point on the unit circle is ( -√3/2 , -1/2).

What is a unit circle?

A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

For the given situation,

The radian measure is θ = 7pi/6

In unit circle, the radian θ = [tex]\frac{7\pi }{6}[/tex] lies in the third quadrant and it's equal degree measure is [tex]210[/tex]°.

The corresponding point for this radian measure is

( [tex]\frac{-\sqrt{3} }{2} ,\frac{-1}{2}[/tex] )

Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).

Learn more about unit circle here

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Answers

Answer:

48 and 25

Step-by-step explanation:

number 1 is 8×8=48 and same thing for number 2 5×5

i don't know why you're spamming that lol

A day in the month of January is randomly selected What is the probability of selecting a perfect square?

a. 5/30
b. 6/31
c. 1/6
d. 5/31

Answers

Answer:

5/31

Step-by-step explanation:

there are 31 days in January 5 of those are prefect squares (1,4,9,16,25)

The answer would be D

John eats 4/12 of a sandwich. Emma eats 3/12 of the same sandwich. How much more sandwich did John eat than Emma?​

Answers

Answer:

[tex]\frac{1}{12}[/tex] more sandwich

Step-by-step explanation:

Very simple. Just subtract the amount Emma ate from the amount John ate.

[tex]\frac{4}{12} - \frac{3}{12} = \frac{1}{12}[/tex]

Hope this answer helped! :)

Answer:

John ate [tex]\frac{1}{12}[/tex] of a sandwich more than Emma.

Step-by-step explanation:

In order to find out how much more sandwich did John eat than Emma we just need to find the difference between the amounts that they ate, and so we get...

[tex]\frac{4}{12} - \frac{3}{12} = \frac{1}{12}[/tex]

Therefore John ate [tex]\frac{1}{12}[/tex] of a sandwich more than Emma.

A 90% confidence interval for the mean age, in weeks, at which a baby first crawls was reported to be (32, 46). The margin of error for this confidence interval is

Answers

Answer:

The margin of error for this confidence interval is of 7.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between these bounds, divided by 2.

In this question:

The bounds are 32 and 46.

(46 - 32)/2 = 14/2 = 7

The margin of error for this confidence interval is of 7.

4(-1)+2
ItS HARD HELP

Answers

Answer:

-2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

you multiply 4 by -1 and then add 2 to the product of that

Practice:

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-112°

a. 0.98 units
b. 0.62 units
c. 0.62 units clockwise
d. 1.95 units clockwise

Please select the best answer from the choices provided

Answers

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

Find the present value of an ordinary annuity with deposits of $14,235 quarterly for 10 years at 10.0% compounded quarterly.
What is the present value?

Answers

You would use this equation y=14,235(1+0.10)^10
Solving it like this
Y=14,235(1.1)^10
Your final answer is 36921.92392 then round and get 36921.92

To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results. Type Sample Average Sample SD 1 60.7 1.0 2 60.5 1.0 Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n

Answers

Questions :

a. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.)

b. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 500. (Round your answer to four decimal places.)

c. Is the small P-value for n = 500 indicative of a difference that has practical significance

Answer :

0.1574

0.00157

Yes

Step-by-step explanation:

Hypothesis :

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Given :

x1 = 60.7 ; x2 = 60.5 ; s1 = 1 ; s2 = 2

Based on n = 100

Test statistic, Z :

Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]

x1 - x2 = 60.7 - 60.5 = 0.2

0.2 / √(1²/100 + 1²/100 )]

0.2 / √0.02

Z = 1.414

The Pvalue from Zscore :

P(Z < 1.414) = 0.1574

B.)

For n = 500

Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]

x1 - x2 = 60.7 - 60.5 = 0.2

0.2 / √(1²/500 + 1²/500 )]

0.2 / √0.004

Z = 3.162

The Pvalue from Zscore :

P(Z < 3.162) = 0.00157

Yes, the small Pvalue for n = 500 is indicative of a difference with practical significance ; as the Pvalue are compare with the α to make about a Decison about our hypothesis.

At a marlin fishing tournament, the winning fish was 342 5/16 pounds. The average fish caught weighed 167 3/8 pounds. What is the difference between the weight of the winning fish and the weight of the average fish caught?

Answers

Step 1: Subtract the average from the winning tournament pounds
342 5/16 - 167 3/8 = 174 15/16

Therefore, the DIFFERENCE between not is 174 15/16

Answer:

174 15/16 lbs or 2799/16 lbs

Step-by-step explanation:

to find the difference of the weight of the winning fish and the avg fish, I'm assuming you just need to subtract the values from each other.

so first I'm just gonna convert the mixed numbers into improper fractions because its easier to do math that way (for me).

342 5/16 = 5477/16 winning fish

167 3/8 = 1339/8 avg fish

now I need to find the difference between them so I'll just subtract the smaller number from the bigger number.

5577/16 - 1339/8 = difference

but wait oh no, they don't have the same denominator, so I'll multiply the 1339/8 by 2/2 so that I get a number over 16.

5577/16 - 2678/16 = difference

2799/16 lbs or 174 15/16 lbs (if you want to convert it into a nice mixed number)

In ΔQRS, q = 890 cm, s = 810 cm and ∠S=120°. Find all possible values of ∠Q, to the nearest degree.

Answers

Answer: no possible triangles

Step-by-step explanation:

what time is seven to eight

Answers

The time between 7 to 8 is one hour if that’s what you’re asking for

6
7
8
9
10
11
16 17 18
19
12 13 14 15
data
0
Based on the boxplot above, identify the 5 number summary

Answers

Answer:

5 10 16 17 18

Step-by-step explanation:

Using the box plot above, the 5 number summary is this :

Minimum = value at the starting point of the left whisker = 5

Lower quartile = value at the start point of the box = 10

Median = value marked in between the box = 16

Upper quartile = value at the end point of the box = 17

Maximum = value at the endpoint of the whisker = 18

What is the solution of the system of equations?
y = 2x
Y = x+ 5
Ob. (2,7)
Oa. (0,5)
Oc. (1 2/3,6 2/3)
Od. (5, 10)

Answers

The solution of system of equations is (5, 10)

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

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The shorter tree is 10 ft. tall, and casts a shadow that is 15 feet long. If the taller tree casts a 18 ft. shadow, how tall is the tree?

Answers

Answer: The height of the tree is 27 ft

find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 20/21

Step-by-step explanation:

tan Θ = opp/adj

tan A = 20/21

Karen opened a savings account with $500. The money earns 0.2% interest per
month. If she does not make any withdrawals or any more deposits, approximately how
much money will Karen have in the account after two years?

Answers

Answer:2,500

Step-by-step explanation:

I'm guessing it is exponential, which means the balance increases by more over time, so the equation would be

500(1+0.002)^2=520.2002

or rounded to 502

Can anyone PLEASE help me with this!?

Answers

The answer I got was A f(-4)=x

1) Which division expression is the given figure below modeling?
10 points
A) 2/3=4
B) 4 = 2/3
C) 4x2/3
D) 2/3 x 4
Figure to use with Problem #1​

Answers

4/8=32 in think that’s the answer

Bhumika buys 3 identical pairs of shoes. Each pair is 40% off the regular price. She pays $110.25 after the discount. What is the regular price of each pair?

Answers

Answer:

She buys 3 pairs from store a.

So divide the 110.25 by 3.

You will get the amount that she spent for each pair.

Change 40% to a decimal which would be .40 then you multiply the amount she spent on each pair ($36.75) by the .40.

You will get 14.7 so you add $14.70 to the amount she spent on each and you will get The original price of each pair was $51.45.

Step-by-step explanation:

Mark as  Brainliest

Answer:

The original price of each pair was $51.45.

Step-by-step explanation:

Mark other guy brainliest

Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.

Answers

Answer:

Step-by-step explanation:

scam . smď

Plz help me well mark brainliest if correct!!...

Answers

Answer:

You should stick with option D

the final answer math

Answers

Answer:

$10.50

Step-by-step explanation:

$39.90 ÷ 3.8 pounds

= 10.50263157894735

after rounding, your answer must be 10.50

hope this helps.

FOR 10O POINTS!! Solve for x

Answers

Answer:

the answer is A. 14

Step-by-step explanation:

nstead of power posing in horses, you are interested in whether music can induce a mere exposure effect at short timescales. You read a paper that claims that it can, reporting a significant mere exposure effect. Alpha level was 0.05, the ratio of true to false effects in this field is 0.7 and the power of this study was 0.8. The probability that this effect is real is

Answers

Answer:

Probability that effect is real = 0.97

Step-by-step explanation:

Given data :

ratio of true to false = 0.7

Alpha level = 0.05

power of study = 0.8

Determine the probability that this effect is real

From the question we can deduce : 70% of events are real , 30% of events are not real

% of real effect = 0.8 * 70% = 56%

% of false effect = alpha level * percentage of unreal events

                          =  0.05 * 30% = 1.5%

summation of effects = 56 + 1.5 = 57.5%

Hence probability that the effect is real

= 56% / 57.5%

= 0.9739 ≈ 0.97

Find the total surface area of this square based
pyramid.
1077
10 ft
[? ]ft2
Enter

Answers

Answer:

300ft^2

Step-by-step explanation:

Total surface area = Area of base + (1/2) x perimeter of base x slant height

Area of base = length² = 10 x 10 = 100

Perimeter of base = 2 ( length + breadth)

2 x 20 = 40

slant height = 10

100 + (1/2) x 40 x 10 = 300 ft^2


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Where is the link to your question? I can't answer thing without a link my guy- :/

HELPPPP THXX PLAAAAASSSSSSSS

Answers

Answer:

43

Step-by-step explanation:

interior angles add up to 180

Hey luvs!

The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?

Answers

Answer:

I don't know I'm sorry.............

Sequences and series!! Help please

Answers

So, its more like this:

Using the polar form, a complex number with modulus r and argument θ may be written

z = r(cos 0 + j sin θ)

It follows immediately from Euler’s relations that we can also write this complex number in

exponential form as :

z = [tex]re^{j0}[/tex]

When using this form you should ensure that all angles are measured in radians and not degrees.

The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.

I'm leaning towards the answer choices A. and C.

But I'm sure it's A because of the two, C has an x. That's the only difference they have.

Here's another example,

Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:

z =reiθ

. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).

For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.

Also, you can write:

Re(z)=z+z¯2

if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:

|1−z|=|1−z|e0i

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 84 on the statistics test and a 96 on the calculus test. Calculate the z-score for each test. On which test did the student perform better relative to the other students in each class

Answers

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so [tex]\mu = 79, \sigma = 4.5[/tex]

Student got 84, so [tex]X = 84[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84 - 79}{4.5}[/tex]

[tex]Z = 1.11[/tex]

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so [tex]\mu = 69, \sigma = 3.7[/tex]

Student got 96, so [tex]X = 96[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{96 - 69}{3.7}[/tex]

[tex]Z = 7.3[/tex]

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

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