Find cos theta, tan theta, and csc theta, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answer:

x = 12

∠A = 144

Step-by-step explanation:

+ We have: ∠A = ∠C (alternate interior)

                ∠D = ∠C ( vertically opposite angles)

=> ∠A = ∠C (because = ∠C)

=> 10x + 24 = 6x + 72

=> 10x - 6x = 72 - 24

        4x      = 48

          x      = 12

+ ∠A = 10x + 24

 ∠A = 10 x 12 + 24

∠A = 144

Answer:

The answer is 0.31

Step-by-step explanation:

Old Method                                       New Method                          .

Mean                      73.5625                  Mean            75.70588

Standard Error        3.143736             Standard Error  2.923994

Median                    72                          Median            75

Mode                       90                          Mode               64

Standard deviation  12.57494           Standard deviation 12.05594

Sample Variance     158.1292            Sample Variance     145.3456

Kurtosis                     -1.14544              Kurtosis                   -0.76646

Skewness                 0.171025             Skewness                0.091008

Range                       39                        Range                      41

Minimum                   55                        Minimum                 56

Maximum                  94                        Maximum                 97

Sum                          1177                        Sum                        1287

Count                         16                         Count                      17

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: μNew< μOld

Alternative hypothesis: μNew > μOld

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the mean difference between sample means is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

[tex]SE=\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } \\\\SE=4.29[/tex]

DF = 31

[tex]t = \frac{(x_1-x_2)-d}{SE} \\\\t = - 0.4997[/tex]

where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, n2 is the size of sample 2, x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error.

The observed difference in sample means produced a t statistic of - 0.499. We use the t Distribution Calculator to find P(t < - 0.499) = 0.311

Therefore, the P-value in this analysis is 0.311.

Interpret results. Since the P-value (0.311) is greater than the significance level (0.05), we cannot reject the null hypothesis.

From the above test we do have sufficient evidence in the favor of the claim that new method is efficient than the old method.

Answer:

mean: 46.63636

median: 34

mode: 87

range:95

How To:

Step 1 : To find Mean

    Average = ( 1 + 5 + 5 + 7 + 8 + 10 ) / 6

             =36 / 6

    Mean = 6

Step 2 : To find Median

   Middle value = ( 5 + 7 ) / 2

               = 12 / 2

    Median = 6

Step 3 : To find Mode

   Mode = 5 (The number with more repetition, here 5 is repeated two times)

Step 4 : To find Range

    Range = Largest number - Smallest number

       = 10-1

       = 9

Range = 9

Answer:

Mean: 46.6

Mode: 87

Median: 34

Range: 95

Step-by-step explanation:

Mean: (finding the average)

Median: (the middle number of the data set)

Mode: (the most number repeated from the data set)

Range: (is the difference between the highest value and the lowest value)

first arrange the following data set.

23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26

so:

5, 14, 19, 23, 26, 34, 37, 81, 87, 87, 100

Lets us first find the mean by adding up all the numbers and dividing it by the amount of numbers in the data set.

Mean: 5 + 14 + 19 + 23 + 26 + 34 + 37 + 81 + 87 + 87 + 100 = 513/11 = 46.6

Mode: 87

Median: 34

Range: 100 - 5 = 95

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

Length is 4 less than 3 times the width  ==>  L = 3*W - 4  

Let P = Perimeter = 2*W + 2*L

Perimeter is 22 more than twice the width  ==>  P = 2*W + 22

Setting the 2 expressions for the perimeter equal to each other gives  

2*W + 2*L = 2*W + 22

2*L = 22

L = 11  

So 11 = 3*W - 4

3*W = 15

W = 5

The length is 11 and the width is 5  

Check:  3*W - 4 = 11 = Length

           Perimeter = 32 = 22 more than 2*5 = 10

Step-by-step explanation:

tags is not a fixed cost

Answer:

Step-by-step explanation:

A. Find the point on the x-axis marked with a 4. Follow the vertical line down until it meets the blue line of the graph. At that point, follow the horizontal line to the left until it meets the y-axis at -3. This tells you ...

  f(4) = -3

__

B. Find the point on the y-axis marked with a 1. Then find the x-values corresponding to the places where the horizontal line at y=1 intersects the blue curve. There are two of them: one at x=-6, another at x=0.

 f(x) = 1  for  x = -6 and x = 0

Answer:

Step-by-step explanation:

Answer:

D. 625

Step-by-step explanation:

If the side length for each block is 2 1/2 then two blocks together make 5 so 4 blocks going up makes the height 10 and two blocks for the width make 5 and the 5 blocks on the bottom going across for length make 12 1/2 and 5*10*12 1/2= 625

Explanation:

Each "square" in the table has two lines. The top line matches the label of the degree of the polynomial. The bottom line matches the name for the number of terms.

Where one or the other is missing, fill it in according to the description above.

For example, the "square" in the lower right corner will say ...

  quartic

  trinomial

Answer:

2 feet 3 inches

Step-by-step explanation:

So we know there are 12 inches in one foot. so 27/3= 2 remainder 3. So the answer is 2 feet 3 inches

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=2.4\\\\H_a:\mu> 2.4[/tex]

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=45-1=44[/tex]

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t>2.5801)=0.0066[/tex]

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Answer:constant is 2/33

Step-by-step explanation:

1 min to fill 16.50 gallons

Time(t) varies directly as volume(v)

t α v

t =k x v Where k is constant

1=k x 16.50

k=1/16.50

k=2/33

Constant is 2/33

Answer:

20x + 30y = 680

Step-by-step explanation:

Give me a good rating please!

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation represents the number of $20 and $30 gift cards bought.

20x + 30y = 680

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Number of gift cards for $20 = x

Number of gift cards for $30 = y

Total amount spend on gift card = $680

The equation represents the number of $20 and $30 gift cards bought.

20x + 30y = 680

Thus,

The equation represents the number of $20 and $30 gift cards bought.

20x + 30y = 680

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:$139.00

Step-by-step explanation:

150.12/1.08

Answer:

19.70

Step-by-step explanation:

For this case we have the following trigonometric relationship:

Tan (x) = (4/6)

Clearing the angle we have:

x = Atan (4/6)

x = 19.77

Rounding off we have:

x = 19.70 degrees

Answer:

(a) Probability that 2 or fewer will withdraw is 0.2061.

(b) Probability that exactly 4 will withdraw is 0.2182.

(c) Probability that more than 3 will withdraw is 0.5886.

(d) The expected number of withdrawals is 4.

Step-by-step explanation:

We are given that a university found that 20% of its students withdraw without completing the introductory statistics course.

Assume that 20 students registered for the course.

The above situation can be represented through binomial distribution;

[tex]P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 20 students

            r = number of success  

            p = probability of success which in our question is probability  

                  that students withdraw without completing the introductory  

                  statistics course, i.e; p = 20%

Let X = Number of students withdraw without completing the introductory statistics course

So, X ~ Binom(n = 20 , p = 0.20)

(a) Probability that 2 or fewer will withdraw is given by = P(X [tex]\leq[/tex] 2)

P(X [tex]\leq[/tex] 2) =  P(X = 0) + P(X = 1) + P(X = 2)

=  [tex]\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}[/tex]

=  [tex]1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}[/tex]

=  0.2061

(b) Probability that exactly 4 will withdraw is given by = P(X = 4)

                      P(X = 4) =  [tex]\binom{20}{4} \times 0.20^{4} \times (1-0.20)^{20-4}[/tex]

                                 =  [tex]4845\times 0.20^{4} \times 0.80^{16}[/tex]

                                 =  0.2182

(c) Probability that more than 3 will withdraw is given by = P(X > 3)

P(X > 3) =  1 - P(X [tex]\leq[/tex] 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

=  [tex]1-(\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}+\binom{20}{3} \times 0.20^{3} \times (1-0.20)^{20-3})[/tex]

=  [tex]1-(1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}+1140\times 0.20^{3} \times 0.80^{17})[/tex]

=  1 - 0.4114 = 0.5886

(d) The expected number of withdrawals is given by;

                        E(X)  =  [tex]n\times p[/tex]

                                 =  [tex]20 \times 0.20[/tex] = 4 withdrawals

Answer:

Depends on the type of box, but most likely one box of crayons because 32 packs are sold.

Do you have answer choices?

Answer:

  s[1] = 0.2; s[n] = -5·s[n-1]

Step-by-step explanation:

To write a recursive formula, you need to know how a given term relates to the ones before it. Here, each term is -5 times the one before. So part of the formula is ...

  s[n] = -5·s[n-1]

The other part of a recursive formula is the part that tells the initial values necessary to make this recursive function work. Here, one initial value is needed. We know that the first term is 0.2, so that's what we need to say:

  s[1] = 0.2

__

The recursive formula is ...

Answer:

0.2

-5

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

they each have 3 boxes, so you can multiply 3 by 2 to get 6. if each box has 10 crayons, then multiply 6 by 10 to get 60.

The total number of crayons that Alex and Annie have in all will be 30 crayons.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Alex and Annie each have 3 boxes of crayons. Each box has 10 crayons. Then the total number of crayons is given as,

Total = 3 x 10

Total = 30

The total number of crayons that Alex and Annie have in all will be 30 crayons.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

4/15

Step-by-step explanation:

The total number of spins completed is 6+8+7+9 = 30

The letter B came up 8 times

P(B) = number of B's over total

P(B) = 8/30 = 4/15

Answer: 3600 seconds

Step-by-step explanation:

60 seconds in a minute

60 minutes in an hour

(60)(60) = 3600

Answer:

3600

Step-by-step explanation:

There are 60 seconds in 1 minute

30 minutes equal 1800

So, 1800 + 1800 is 3600.

Hope this helps! :)

Answer:

23

Step-by-step explanation:

difference between number is 5

5n-7 to get to next term

Answer:

5 sessions each

Step-by-step explanation:

Let the personal training sessions be x.

Then at Silver Gym Sarah would spend:

And at Fit Factor she would spend:

Since total costs are same, the amounts will be equal:

So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.

Answer:

37

Step-by-step explanation:

Answer:

7 yds

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = 10*y

Divide each side by 10

70/10 = 10y/10

7 = y

Answer:

7

Step-by-step explanation:

To find Area is Length x Width

The Length is 10 and the Area is 70

70= 10x

Divide both sides by 10

70/19=7

Step-by-step explanation:

19. Kim's Path = √240² + 100²

= √57600 + 10000

= √67600

= 260 ft.

Answer:

17 question: we are going to use Pythagorean Theorem :

33^2 + 56^2 = x^2

1089+3165 = x^2

4225=x^2

x=-65

x=65

the answer is c)65

18 question i dont know :((

19 question : we are going to use same method as the first question : the answer is 260 ft

that's all that i can do for you

Step-by-step explanation:

hope this helps you :)

Answer:

3x + 2y = -2

Step-by-step explanation:

Given Equation is − 2 x  +  3 y  =  12

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

Slope of this line is  m  =  2/ 3

Slope of Line A m a  =  2

Slope of Line B  m b  =  2/ 3

Slope of Line C  m c  =  − ( 2 /3 )

Slope of Line D  m d  =  −  ( 3 /2 )

since  m d  =  − 1 /m  ,  D  is perpendicular to the given line

Answer:

f(n) = f(n - 1) + 2(n - 1) for n [tex]\geq[/tex] 1

Step-by-step explanation: