Which list orders the angles of triangle ABC from smallest to largest measure?

Answer:

about 10

Step-by-step explanation:

62.8 = 2 pi r/2

62.8/2 = pi r

31.4/pi = pi r/pi

about 10 = r

Answer:

second option

Step-by-step explanation:

It is down by 2 units because the -2 is outside of the exponent. Since it's -2 and not +2, it shifts down.

Answer:

shift it down 2 units

Step-by-step explanation:

y = f(x) + C  C < 0 moves it down

f(x) = 3^x -2  will shift it down 2 units

Answer:

Helen is 24; Robert is 39

Step-by-step explanation:

If Helen's age is x, Robert's age is x + 15. We can write:

x + x + 15 = 63

2x + 15 = 63

2x = 48

x = 24

This means that Helen's age is 24 and Robert's age is 24 + 15 = 39.

Answer:

  B, D

Step-by-step explanation:

In dollars per hour, the rates are ...

  A. $1200/(48 h) = $25/h

  B. $500/(50 h) = $10/h

  C. $750/(25 h) = $30/h

  D. $1500/(150 h) = $10/h . . . . matches B

  E. $800/(40 h) = $20/h

Choices B and D are the same, at $10/hour.

Answer:

B. The experiment is rolling the die.

C. A trial is one rolling of the die.

F. The outcome is the number that is rolled on the die.

Step-by-step explanation:

An experiment is defined as an act or operation for the purpose of discovering something unknown. In this case the player is rolling the die to discover a number, thus the experiment is rolling the die.

A trial is a single performance of a defined experiment, since we already know what the experiment is, a trial is one rolling of the die.

The outcome is the observed result from a trial or experiment, in this case, the outcome is the number that is rolled on the die.

Answer:

There are 6 sides like you mentioned but there is an outcome.

The outcome would be the number rolled on the die So you are likely to get 1 out of 6 numbers on one roll

Answer:

The area of a rectangle with length of 5 and width of 5.

Step-by-step explanation:

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.

area = lxw

A=5x5 (5 times itself)

A=25

therefore it is a perfect square

b I just did the unit test review this morning

Answer:

Step-by-step explanation:

(-2,2) (2,-4)

(-4-2)/(2+2)= -6/4= -3/2 is the slope of the graph

Hey there! :)

Answer:

Domain: (-∞, ∞)

Range: [-1, ∞)

Step-by-step explanation:

This is an absolute-value function.  (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:

Domain: (-∞, ∞)

Range: [-1, ∞)

Answer:

b)4feet

Step-by-step explanation:

In a rectangle two sides are equal.

Perimeter is the distance around the rectangle thus.

length=24-8-4-8

length=4

Answer:

33.333333333333%

Rounded: 33%

Answer:

Step-by-step explanation:

Hello!

(a) Which genre has the highest mean audience score? The lowest mean audience score?

1) Action [tex]\frac{}{X}_1[/tex]= 58.63

2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11

3) Drama [tex]\frac{}{X} _3[/tex] = 72.10

4) Horror [tex]\frac{}{X}_4[/tex]= 48.65

The lowest mean score is  [tex]\frac{}{X}_4[/tex]= 48.65

The highest mean score is  [tex]\frac{}{X} _3[/tex] = 72.10

(b) Which genre has the highest median score? The lowest median score?

1) Action Me₁= 51.00

2) Comedy Me₂= 58.00

3) Drama Me₃= 72.00

4) Horror Me₄= 52.00

The Lowest median is Me₁= 51.00

The Highest median is Me₃= 72.00

(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?

Lowest or minimum scores:

1) Action 32.00

2) Comedy 31.00

3) Drama 46.00

4) Horror 25.00

The genre with the lowest score is "Comedy"

Highest or maximum scores:

1) Action 93.00

2) Comedy 93.00

3) Drama 91.00

4) Horror 78.00

There are two genres with the highest score "Action" and "Comedy"

(d) Which genre has the largest number of movies in that category?

The number of movies for each category corresponds to the sample sizes:

1) Action n₁= 32

2) Comedy n₂= 27

3) Drama n₃= 21

4) Horror n₄= 17

The largest number of movies sampled was for the genre "Action"

(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.

Comedy [tex]\frac{}{X}_C[/tex]= 59.11

Horror [tex]\frac{}{X}_H[/tex]= 48.65

[tex]\frac{}{X}_C[/tex] -  [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46

I hope this helps!

Answer:

An independent sample.

Step-by-step explanation:

In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.

An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.

Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.

Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.

Given:

An equilateral triangle JKL inscribed in circle M.

Solution:

To draw an equilateral triangle inscribed in circle follow the steps:

1: Draw a circle with any radius.

2. Take any point A, anywhere on the circumference of the circle.

3.  Place the compass on point A, and swing a small arc crossing the circumference of the circle.

Remember the span of the compass should be the same as the radius of the circle.

4. Place the compass at the intersection of the previous arc and the circumference and draw another arc but don't change the span of the compass.

5. Repeat this process until you return to point A.

6. Join the intersecting points on the circle to form the equilateral triangle.

So the correct option is A. The width must be equal to the radius of circle M.

I would use a chart to solve this problem.

This is a good wya to organize your information.

Down the left side, list the people involved.

I put Bob first and the mom second but the order doesn't matter.

Since Bob's mom is 3 times older than Bob, we can represent

Bob's age now as x and Bob's mom's age now as 3x.

Bob's age in 12 years will be x + 12 and Bob's mom's

age in 12 years will simply be 3x + 12.

Since the second sentence starts with in 12 years,

we will be using the information from our second column.

In 12 years, Bob's mom's age, 3x + 12, will be,

equals, twice of her son's age, 2(x + 12).

Solving from here, we find that x = 12.

This means that Bob's age now is 12 and his mom is 36.

The chart is attached below.

Answer:

12 and 36 = bob is 12 and bob's mother is 36

Answer:

work is shown and pictured

answer is c

Answer:

the correct answer among the choices is C

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

The tank's capacity is 200,000 gallons.

170,000 gallons were used.

200,000 - 170,000 = 30,000

30,000 gallons of fuel are still there.

percent = part/total * 100%

percent = 30,000/200,000 * 100% = 15%

Answer:

10 stickers.

Step-by-step explanation:

Let's say that Mandy has m stickers, and Priscilla has p stickers.

m = 1/4p

6/5(m + 28) = p + 28

6/5(1/4p + 28) = p + 28

1/4p + 28 = 5/6p + 23 and 1/3

5/6p - 1/4p = 28 - 23 and 1/3

10/12p - 3/12p = 84/3 - 70/3

7/12p = 14/3

p = (14/3)(12/7)

p = 8

At the beginning, Priscilla had 8 stickers. That means that Mandy had 1/4 * 8 = 8 / 4 = 2 stickers.

So, in the packet, there were 8 + 2 = 10 stickers.

Hope this helps!

Answer:

9 ones, 8 tenths, 0 hundredths, 7 thousandths

Step-by-step explanation:

Answer:

9 thousands

8 hundreds

0 tens

7 ones

Step-by-step explanation:

Hope it helped!

Answer:

x ≈ 13.8 units

y ≈ 22.0 units

Step-by-step explanation:

We must use trigonometry to address this problem.

First, we know that y is the side opposite to the labelled angle, and x is the side adjacent to the labelled angle. 26 is the length of the hypotenuse.

We use cosine to find x (because cosine = adjacent / hypotenuse) and sine to find y (because sine = opposite / hypotenuse).

cos(58) = x/26

x = 26 * cos(58) ≈ 13.8

sin(58) = y/26

y = 26 * sin(58) ≈ 22.0

Thus, x ≈ 13.8 units and y ≈ 22.0 units.

~ an aesthetics lover

Complete Question

In a study of the accuracy of fast food? drive-through orders, Restaurant A had  249 accurate orders and 80 that were not accurate.  

a. Construct a 90?% confidence interval estimate of the percentage of orders that are not accurate.  

b.  Compare the results from part? (a) to this 90?% confidence interval for the percentage of orders that are not accurate at Restaurant? B: 0.164< p <0.239. What do you? conclude?

 Choose the correct answer below.  

A. Since the two confidence intervals  overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.  

B. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.  

C. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.  

D. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant? A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.

Answer:

a

The  90?% confidence interval  is  [tex]0.2041 < p < 0.282[/tex]

b

Option A is the correct option

Step-by-step explanation:

From the question we are told that  

      The sample size is  n  =  249+80  = 329

        The number that are not accurate is  k  = 80

Generally the sample proportion of orders  that are not accurate is  mathematically evaluated as

                   [tex]\r p = \frac{ 80 }{329}[/tex]

                    [tex]\r p = 0.243[/tex]

Given that the confidence level is 90% then the level of significance is mathematically evaluated as

              [tex]\alpha = 100 -90[/tex]

              [tex]\alpha = 10\%[/tex]

               [tex]\alpha = 0.10[/tex]

Next we obtain the critical value of  [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table, the value is  

               [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

Generally the margin of error is mathematically represented as

              [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p (1- \r p )}{n} }[/tex]

=>            [tex]E = 1.645* \sqrt{ \frac{0.243 (1- 0.243 )}{329} }[/tex]

=>              [tex]E = 0.0389[/tex]

Generally the 90% confidence interval is  mathematically represented as

         [tex]\r p -E < p < \r p +E[/tex]

=>       [tex]0.2041 < p < 0.282[/tex]

Comparing the two 90% confidence of restaurant A and B we see that they overlap and  Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.  

Answer:

(a + b + c)/2

Step-by-step explanation:

Number of kids in first class: a

Number of kids in second class: b

Number of kids in third class: c

The total number of kids in all classes is: a + b + c

The total number of kids is divided equally between 2 buses:

(a + b + c)/2

Answer:

(a + b + c)/2

Step-by-step explanation:

;)

Answer:

19.77% probability that exactly one insect will survive

Step-by-step explanation:

For each insect, there are only two possible outcomes. Either they survive, or they do not. The probability of an insect surviving is independent of other insects. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A certain insecticide kills 70% of all insects in laboratory experiments

So 100 - 70 = 30% survive, which means that [tex]p = 0.3[/tex]

A sample of 8 insects is exposed to the insecticide in a particular experiment.

This means that [tex]n = 8[/tex]

What is the probability that exactly one insect will survive?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]

19.77% probability that exactly one insect will survive

Answer:

a

[tex]t = 1.9166[/tex]

b

The nutritionist does not have sufficient evidence to reject the writers claim

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 75[/tex]

   The sample size is  [tex]n = 20[/tex]

    The sample mean is  [tex]\= x = 78[/tex]

    The standard deviation [tex]\sigma = 7[/tex]

    The level of significance is   [tex]\alpha = 0.05[/tex]

Now the

    Null  Hypothesis is  [tex]H_o : \mu = 75[/tex]

    Alternative Hypothesis is  [tex]\mu \ne 75[/tex]

generally the degree of freedom is mathematically represented as

     [tex]df = n-1[/tex]

    [tex]df = 20 -1[/tex]

    [tex]df = 19[/tex]

For a significance level of 0.05 and 19 degrees of freedom, the critical value for the t-test is 2.093. This is obtain from the t-distribution table

The test statistic is mathematically evaluated as

         [tex]t = \frac{ \= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

        [tex]t = \frac{78 - 75 }{\frac{7 }{\sqrt{20} } }[/tex]

       [tex]t = 1.9166[/tex]

Since the test statistic is below the critical value then the Null hypothesis can not be rejected

So we can conclude that the nutritionist does not have sufficient evidence to reject the writers claim

Answer:

3rd Matrix

Step-by-step explanation:

When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.

Answer:

First Matrix

Step-by-step explanation:

Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.

Answer:

6/5, 7/6

Step-by-step explanation:

The nth term is (n+1)/n

2/1, 3/2, 4/3, 5/4

Put n as 5 and 6.

(5+1)/5

= 6/5

(6+1)/6

= 7/6

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = average daily cost to rent a car in Los Angeles

x2 = average daily cost to rent a car in Las Vegas

s1 = sample standard deviation for Los Angeles

s2 = sample standard deviation for Las Vegas

n1 = number of sampled cars in Los Angeles

n2 = number of sampled cars in Las Vegas

Degree of freedom = (n1 - ) + (n2 - 1) = (40 - 1) + (40 - 1) = 38

For a 95% confidence interval, the t score from the t distribution table is 2.024

From the information given,

x1 = 102.24

s1 = 5.98

n1 = 40

x2 = 97.35

s2 = 4.21

n2 = 40

x1 - x2 = 102.24 - 97.35 = 4.89

Margin of error = z√(s1²/n1 + s2²/n2) = 2.024√(5.98²/40 + 4.21²/40) = 2.024√1.3371125

= 2.34

The 95% confidence interval is 4.89 ± 2.34

Hypothesis testing

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean average daily cost to rent a car in Los Angeles and μ2 be the the mean average daily cost to rent a car in Las Vegas

The random variable is μ1 - μ2 = difference in the mean average daily cost to rent a car in Los Angeles and the mean average daily cost to rent a car in Las Vegas

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 0

This is a two tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

t = (102.24 - 97.35)/√(5.98²/40 + 4.21²/40)

t = 4.23

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [5.98²/40 + 4.21²/40]²/[(1/40 - 1)(5.98²/40)² + (1/40 - 1)(4.21²/40)²] = 1.78786983766/0.02552804373

df = 70

We would determine the probability value from the t test calculator. It becomes

p value = 0.00007

Since alpha, 0.05 > than the p value, 0.00007, then we would reject the null hypothesis. Therefore, at 5% significance level, there is sufficient evidence to conclude that there is a significant difference in the rates between the two cities.

Answer:

1/2

Step-by-step explanation:

The numbers that are 6 or even on the cards are 2, 4, and 6.

3 cards out of a total of 6 cards.

3/6 = 1/2

Answer:

1/2 chance

Step-by-step explanation:

There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.

Answer:

-6511.8

Step-by-step explanation:

Answer:

largets area is 32 feet cubed

Step-by-step explanation:

8=4  foot 2 for each  side w and e and 32feet n and s  16 each side

Answer:

Volume = 160 cm³   (Unit = cm³)

Step-by-step explanation:

Length = 4 cm

Width = 4 cm  (Because it's a square based cuboid!)

Height = 10 cm

Now, Volume:

Volume = [tex]Length * Width*Height[/tex]

Volume = 4 * 4 * 10

Volume = 160 cm³

Answer:

160 cm³

Step-by-step explanation:

The base is a square. The side length of the base is 4 cm.

The volume of a square-based cuboid is the area of square × height or length.

4² × 10

16 × 10

= 160

The volume of the square-based cuboid is 160 cm³.