what is 4901 and 75 estimated to

Answer:

Youre correct

Step-by-step explanation:

Answer:

it is true

Step-by-step explanation:

Answer:8 peices hopefully its right

Step-by-step explanation:

Given:

The expression is

[tex]\tan (\cos ^{-1}(-\dfrac{1}{2}))[/tex]

To find:

The value of given expression.

Solution:

We have,

[tex]\tan (\cos ^{-1}(-\dfrac{1}{2}))[/tex]

[tex]=\tan (\pi-\cos^{-1}(\dfrac{1}{2}))[/tex]          [tex][\because \cos^{-1}(-\theta)=\pi -\cos^{-1}\theta][/tex]

[tex]=\tan (\pi-\cos^{-1}(\cos \dfrac{\pi}{3}))[/tex]      [tex][\because \cos \dfrac{\pi}{3}=\dfrac{1}{2}][/tex]

[tex]=\tan (\pi-\dfrac{\pi}{3})[/tex]

[tex]=-\tan (\dfrac{\pi}{3})[/tex]                 [tex][\because \tan(\pi-\theta)=-\tan \theta][/tex]

[tex]=-\sqrt{3}[/tex]         [tex][\because \tan \dfrac{\pi}{3}=\sqrt{3}][/tex]

Therefore, the value of given expression is [tex]-\sqrt{3}[/tex].

Answer:

Han is because the cups of water is 15 ad oat is 6.

Step-by-step explanation:

Answer:

Han is correct

Step-by-step explanation:

Answer:

When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Exterior Angles: a and h.

Step-by-step explanation:

Google

Answer:

For this equation there are infinite solutions.

Step-by-step explanation:

-2(6-3x)=-12+6x

-12+6x= -12 + 6x

-6                  -6

-12 = -12

0 = 0

Answer:

Step-by-step explanation:

y ≤ [tex]\frac{1}{2}[/tex] x - 4

Answer:

1a)Confidence Interval: (77.936,82.064)

b)Confidence Interval: (79.020, 80.980)

c)Confidence Interval: (79.510, 80.490)

d) As the sample size increases, the confidence interval for the lower class (bound) increases while that of the upper class(bound) decreases.

2a)Confidence Interval: (491.609

, 502.797)

b)Confidence Interval: (483.218, 516.782)

c)Confidence Interval: (466.436,533.564)

d)As the standard deviation increases, the confidence interval for the lower class (bound) decreases while that of the upper class(bound) increases.

Step-by-step explanation:

1 a) A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80.

The formula for confidence Interval is:

C.I = Mean ± z score × Standard deviation/√n

Note to apply the formula above n greater than or equal to 30

a) Determine the 95% confidence interval estimate of the population mean.

For a, the confidence interval formula above cannot be applied because n is less than 30, so we use the t score confidence interval value

C.I = Mean ± t score × Standard deviation/√n

Mean = 80

Standard deviation = 5

n = 25

Degree of freedom = 25 - 1 = 24

Hence, 95% confidence interval degree of freedom t score = 2.064

Hence, Confidence Interval =

80 ± 2.064 × 5/√25

80 ± 2.064 × 1

80 ± 2.064

Confidence Interval =

80 - 2.064

= 77.936

80 + 2.064

= 82.064

Confidence Interval: (77.936, 82.064)

b) Repeat part (a) with a sample size of 100.

C.I = Mean ± z score × Standard deviation/√n

Mean = 80

Standard deviation = 5

n = 100

z score for 95% confidence interval = 1.96

C.I = 80 ± 1.96 × 5/√100

C.I = 80 ± 1.96 × 5/10

C.I = 80 ± 1.96 × 0.5

C.I = 80 ± 0.980

Confidence Interval =

80 - 0.980

= 79.020

80 + 0.980

= 80.980

Confidence Interval: (79.020, 80.980)

c) Repeat part (a) with a sample size of 400.

C.I = Mean ± z score × Standard deviation/√n

Mean = 80

Standard deviation = 5

n = 400

z score for 95% confidence interval = 1.96

C.I = 80 ± 1.96 × 5/√400

C.I = 80 ± 1.96 × 5/20

C.I = 80 ± 1.96 × 0.25

C.I = 80 ± 0.490

Confidence Interval =

80 - 0.490

= 79.510

80 + 0.490

= 80.490

Confidence Interval: (79.510, 80.490)

d) As the sample size increases, the confidence interval for the lower class (bound) increases while that of the upper class(bound) decreases.

2a) The mean of a sample of 25 was calculated as ¯x=500. The sample was randomly drawn from a population with a standard deviation of 15.

For a,b and c the confidence interval formula above cannot be applied because n is less than 30, so we use the t score confidence interval value

C.I = Mean ± t score × Standard deviation/√n

a) Mean = 500

Standard deviation = 15

n = 25

Degree of freedom = 25 - 1 = 24

Hence, 99% confidence interval degree of freedom t score = 2.064

Hence, Confidence Interval =

500 ± 2.797 × 15/√25

500 ± 2.797 × 15/5

500 ± 2.797 × 3

Confidence Interval =

500 - 8.391

= 491.609

500 + 8.391

= 508.391

Confidence Interval: (491.609, 508.391)

b) Repeat part (a) changing the population standard deviation to 30

Hence, Confidence Interval =

500 ± 2.797 × 30/√25

500 ± 2.797 × 30/5

500 ± 2.797 × 6

500 ± 16.782

Confidence Interval =

500 - 16.782

= 483.218

500 + 16.782

= 516.782

Confidence Interval: (483.218, 516.782)

c) Repeat part(a) changing to the population standard deviation to 60.

Hence, Confidence Interval =

500 ± 2.797 × 60/√25

500 ± 2.797 × 60/5

500 ± 2.797 × 12

500 ± 33.564

Confidence Interval =

500 - 33.564

= 466.436

500 + 33.564

= 533.564

Confidence Interval: (466.436,533.564)

d)As the standard deviation increases, the confidence interval for the lower class (bound) decreases while that of the upper class(bound) increases.

Answer:

4 hours is the answer

Step-by-step explanation:

If the Bartletts drive at the same average rate, today they must have derived for 4 hours.

Given that,
They drove a total of 550 miles in 11 hours. Today, they will drive another 200 miles and arrive at the park. If the Bartletts drive at the same average rate, how long will they drive today is to be determined.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Speed = distance/time
Speed = 550 / 11  = 50 miles per hour
Again,
Speed = distance/time
50 = 200 / time
time = 4 hours,

Thus, If the Bartletts drive at the same average rate, today they must have derived for 4 hours.

Learn more about distance here:

brainly.com/question/15172156
#SPJ5

Answer:

The answer is 50r-18

Step-by-step explanation:

2(5r-5) +8(5r-1)=2 x 5r/2 x -5 + 8x 5r/8 x -1

=10r-10+40r-8

=10r+40r-10-8

=50r-18

Answer:

Step-by-step explanation:

22 times 14 is 308, so 308 hours in 14 weeks.

Answer:

21.9

Step-by-step explanation:

Answer: The answer is (19, 17), (20, 18), (21, 19), (22, 20), and (23, 21).

Step-by-step explanation:

Answer:

-35n+6

Step-by-step explanation:

5n(-7n)+6

Okay so there is a term in front of another term in parentheses

This let's us know that we are going to distribute (multiply)

5n × -7n = -35n^2

The reason it's -35 it's because a positive times a negative is a negative

the reason it's n^2 it's because n × n = n^2

Now we can't forget the positive 6!

-35n + 6 is your answer

The reason we don't add the 6 to the -35n is because they are not like terms so therefore we cannot do anything further

The 6 does not have an n attached to it so we leave as it it

Answer:

Step-by-step explanation:

2(y-12) +4y = -6

2y -24 +4y = -6

6y -24 = -6

6y= -18

y = -3

x = -3 - 12

x = - 15

x = -15

y = -3

Answer:

x=-9, y=3

Step-by-step explanation:

2(-9)=-18     4(3)=12    -18+12=-6    so,    -6=-6, it is determined true

-9=3-12      3-12=-9      so,     -9=-9, it is determined true

Hope this helps! Have a nice day! Owa Owa!

Answer:

95%

Confidence levels range from 80% to 99%,with the most common confidence level being 95%.

Choosing a Confidence Level for a Population Sample.

Confidence Level z*-value

Answer: There is no property for that equation but it is called Standard Divison.

Step-by-step explanation:

To find 12/2=6 is by splitting 12 into to groups and you got your answer.

Answer:

y=15x

Step-by-step explanation:

Answer:

Hi how are you

Step-by-step explanation:

Have a nice day

Answer: 75 68 28 77

Step-by-step explanation:

make circle

make 4 parts in the circle

make one 75 degrees

another one 68

another one 28

and last one 77

Answer:

x=159/8

Step-by-step explanation:

you are supposed to put all those numbers and x's together and combine like terms then subtract from 180 and then divide

Answer:

third option

triangle TSU=LMN

Answer:

[tex] \triangle TSU \: \cong\: \triangle LMN[/tex]

Step-by-step explanation:

[tex] In\: \triangle TSU \: \&\: \triangle LMN\\\\

TS \cong LM\\\\

SU\cong MN\\\\

UT\cong NL\\\\

\therefore \triangle TSU \: \cong\: \triangle LMN\\(By\: SSS \: Postulate) [/tex]

Answer:

D

Step-by-step explanation:

1/2*almost anything except 1 and 0 is pretty much just dividing by 2

It's D.

1/2 x 2175 = 2175/2

2175/2 = 1087.5

Step-by-step explanation:

first you put it in degree mode by multiplying 9pi/8 by pi/180.

Answer:

C, D

Step-by-step explanation:

We can solve this graphically and analytically.

Graphically, looking at the attached image below, if we graph the two inequalities and plot the points, you can find the points which are solutions by finding the points in the overlapping area.

This obviously excludes A as it only appears in [tex]y \geq x+2[/tex]

C is included as y [tex]\geq x+2[/tex] includes the point on the line.

D is obviously a solution.

B is however not a solution because is lies on the line [tex]y = \frac{-5x}{2} - 3[/tex], which the inequality excludes.

Analytically, if we can find one of the two inequalities where it is not a solution, it is not a solution of the system.

A: (0, 0)

[tex]y \geq x+2\\0 \geq 0 + 2\\0 \geq 2\\false[/tex]

A is not a solution

B: (-2, 2)

[tex]y \geq x+2\\2 \geq -2 + 2\\2\geq 0\\true[/tex]

[tex]y > \frac{-5x}{2} -3\\2 > \frac{-5(-2)}{2} - 3\\2 > 5 - 3\\2 > 2\\false[/tex]

B is not a solution

C: (0, 2)

[tex]y \geq x+2\\2 \geq 0 + 2\\2 \geq 2\\true\\\\y>\frac{-5x}{2}-3\\2 > -3\\true[/tex]

C is a solution

D:

[tex]y \geq x + 2\\6 \geq -1 + 2\\6 \geq 1\\true\\\\y > \frac{-5x}{2} - 3\\6 > \frac{-5(-1)}{2} - 3\\6 > \frac{5}{2} - \frac{6}{2}\\6 > \frac{-1}{2}\\true[/tex]

D is a solution

Answer:

100

Step-by-step explanation: : )

.

Answer:

Step-by-step explanation:

8x+2=3

8x=1

x=1/8