In circle A measure of arc BD-56' and BC is a diameter. Which statements are correct?

Answer:

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means while the standard deciation is the square root of the sum of the variances.

Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%.

This means that:

[tex]\mu_{C} = 17.84, s_{C} = \frac{3.06}{\sqrt{32}} = 0.541[/tex]

Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%.

This means that:

[tex]\mu_{NC} = 15.06, s_{NC} = \frac{1.89}{\sqrt{32}} = 0.3341[/tex]

Difference in average tips

The distribution has mean:

[tex]\mu = \mu_{C} - \mu_{NC} = 17.84 - 15.06 = 2.78[/tex]

Standard deviation:

[tex]s = \sqrt{s_{C}^2 + s_{NC}^2} = \sqrt{0.541^2 + 0.3341^2} = 0.6358[/tex]

96% confidence interval

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 2.054*0.6358 = 1.31[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.78% - 1.31% = 1.47%

The upper end of the interval is the sample mean added to M. So it is 2.78% + 1.31% = 4.09%

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Answer:it the last one i just got it right,  i dont know how to put the pic up but, hope this helps.

Step-by-step explanation:

Relationship between the cost, c, of a call and the time, t, for the cell phone plan in the second graph.

What is Graph?

Graph is a representation of a network and is used to describe the connectivity between lines and points.

The below table represents the relationship between the cost in dollars and time in hours

Time in hours      0        1        2        3

Cost in dollars     10       13      16      19

By observing the values and Graph, we can see that 2nd graph matches with the given values.

Hence second graph matches with the value.

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Answer:

C

Step-by-step explanation:

Answer:

12.86

Step-by-step explanation:

this is rounded to the nearest hundredth

Answer:

c the length is 4.5 inches width is 2.5

Step-by-step explanation:

Answer:

The anwser would be C !! The length is 4.5 inches width is 2.5 !

Step-by-step explanation:

Hope this helped!! :D

Answer:

50 mm

Step-by-step explanation:

I remembered the 345 triangle, so it applies here.

Answer:

(x-4) (x+1)

step by step explanation:,

Answer:

Isu has a cat named Bashet. This one of the many names of the goddess Bast, queen of cats. He has siamese-type traos; his body has a ply tan ned hair, while his legs, tail, face and ears are so dark brown. Brown gradually blends into the most plida color. The cat just a normal cat, but Isu treats it with special reverence

Step-by-step explanation:

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Answer:

c.11 is coorrect

Step-by-step explanation:

V+3=-V+25

shift same type of variables on one side

V+V=25-3

2V=22

V=22/2

V=11

Answer:

Solution given:

we have

m<PTQ=m<RTS

x+20=3x+12.

20-12=3x-x

x=

[tex] \frac{8}{2} [/tex]

now

16.m<PTQ=x+20=4+20=24°

17.

again

m<PTR+m<PTQ=180°[supplementary]

so

m<PTR=180°-24°=156° is your answer

Answer:

156°

Step-by-step explanation:

I see you have already found the x so now plug it in.

(4)+20=24

(4)(3)+12= 24

Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.

We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156

the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.

Does that make sense?

Answer:

2730

Step-by-step explanation:

Answer:

2730................:)))))))))))))

Answer:

Step-by-step explanation:

Prime factorization of the numbers:

9 = 3 × 3

35 = 5 × 7

72 = 2 × 2 × 2 × 3 × 3

LCM(9, 35, 72)

= 2 × 2 × 2 × 3 × 3 × 5 × 7

= 2520

Answer: first one is “I’ll be fine”

second one is “On God”

third one is “Rich and Blind”

Answer:

50

Step-by-step explanation:

total weight=75 pounds

each bag weighed 1 1/2 pound=3/2 pound

no. of lunches=total weight/weight of each lunch

=75/(3/2)

=75*2/3

=50lunches

Answer:

50

Step-by-step explanation:

You need to divide 75 lb by 1 1/2 lb.

[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]

Answer: 50

Answer:

x = 18

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Supplementary angles = 180°

110° + ( 3x + 16° ) = 180

110° + 3x + 16 ° = 180

126° + 3x = 180

3x = 180 - 126

3x = 54°

x = 54/3

x = 18

Answer:

(12 + 8)/8 = 2.5

Answer:

12 + 8/8 =?

20/8 =?

20/8 = 2.5

Step-by-step explanation:

•°•°•°•°•°•°•

The Answer:

y=3.25x+ (-21)

Answer:

y-intercept = (0, -21)

Step-by-step explanation:

Find the value of the slope.

[tex]m = \frac{13}{4} [/tex]

Find the value of the y-intercept.

[tex]b = - 21[/tex]

List the slope and y-intercept.

Slope: 13/4

y-intercept: (0, -21)

Answer:

A or C

Step-by-step explanation:

well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary

Hope this helps

Linear pair example below:

What is the volume of a cube with a side length of 2/5 cm? 0.4 cm

Answer:

8/125 cm³

Step-by-step explanation:

(2/5)³=2³/5³

= 8/125 cm³ or 0.064

Answer:25

Step-by-step explanation:

cur figure up into two small triangles, one recrtangle and a big triangle

Answer:38.65 =  30 + 8 +6/10+5/100

Step-by-step explanation:

Answer:

The table

Step-by-step explanation:

The puppy weighs 0.8 pounds at birth not 0

Answer:

answer:8a + 3b - 2a - b

=8a-2a+3b-b

=6a+2b or 2(3a+b) is your answer

Answer:

[tex]y = 9[/tex]

[tex]x = -3[/tex]

Step-by-step explanation:

Given

[tex]3x + 2y = 9[/tex]

[tex]3x + y = 0[/tex]

Required

Solve by elimination

To do this, we subtract both equations (to eliminate x)

[tex]3x + 2y = 9[/tex]

- [tex]3x + y = 0[/tex]

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

[tex]3x - 3x + 2y - y = 9-0[/tex]

[tex]y = 9[/tex]

Substitute [tex]y = 9[/tex] in [tex]3x + y = 0[/tex]

[tex]3x + 9 = 0[/tex]

Solve for 3x

[tex]3x =- 9[/tex]

Solve for x

[tex]x = -9/3[/tex]

[tex]x = -3[/tex]

Answer:

B

Step-by-step explanation:

In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis

so in this cas the line intercept the y axis in the point (0,2)

so the answer is B

Answer:

d. all of the above

Step-by-step explanation:

just took driving course test

Good drivers exhibit a quiet level of efficiency in their actions, which stems from a combination of a good level of attention and accurate observation (option c).

Firstly, a good level of attention means being fully focused and attentive while driving, avoiding distractions, and being aware of the surroundings. This allows drivers to anticipate potential hazards, respond quickly to changing situations, and make informed decisions. Secondly, accurate observation involves keenly observing the road, traffic, and other relevant factors, such as signs, signals, and pedestrians.

By accurately observing their surroundings, good drivers can assess risks, maintain proper positioning, and execute maneuvers with precision. The combination of attention and observation enables drivers to anticipate and respond effectively, promoting safety, efficiency, and smooth execution of actions on the road. The correct option is c.

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