Consider a triangle A BC like the one below. Suppose that A = 100°, b =51, and c= 45. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".

Answer:

[tex]0.156[/tex]

Step-by-step explanation:

[tex]15.6 \div 100[/tex]

[tex]0.156[/tex]

Answer: b

Step-by-step explanation: 600 is the total so, just do 10x and 12

Answer:

The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt.

This means that [tex]n = 352, \pi = \frac{92}{352} = 0.2614[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 - 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.2011[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 + 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.3217[/tex]

As percent:

0.2011*100% = 20.11%

0.3217*100% = 32.17%.

The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).

Answer:

use the sine rule

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius=diameter/2

13/2

6.5

circumference of a circle=2πr

=2*3.14*6.5

=40.82 feet

=

Answer:

40.84

Step-by-step explanation:

2x3.14x6.5=40.84

Answer:

C + 1 < 3 is not equivalent.

Step-by-step explanation:

B - 1 < 2 ⇒ B < 3

C + 1 < 3 ⇒ C < 2

D - 2 < 1 ⇒ D < 3

Therefore, all inequalities are equivalent except C + 1 < 3.

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

Answer:

a number p, 14 - p

Step-by-step explanation:

Answer:

The minimum sample size is 239.

Step-by-step explanation:

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 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation is equal to 1.5

This means that [tex]\sigma = 1.5[/tex]

Margin of error of 0.25

This means that [tex]M = 0.25[/tex]

What's the minimum size of the sample?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]

[tex]0.25\sqrt{n} = 2.575*1.5[/tex]

[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]

[tex]n = 238.7[/tex]

Rounding up:

The minimum sample size is 239.

Answer:

15.2

Step-by-step explanation:

mean=average

to find the mean, add up all of the numbers and divide by the # of numbers that there are

4+5+6+12+12+12+14+16+22+23+28+28=182

182/12=15.2

Answer:

11.3 to 1DP.

Step-by-step explanation:

The mean = sum of the numbers / 12.

= 136/12

= 11.333

Answer:

Step-by-step explanation:

use formula

P(x,)=P'(-x,y)

A(5,8)=A'(-5,8)

a) 20 ft

b) 32 mm

Step-by-step explanation:

a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.

b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.

Answer:

i dont know what the answerris

Step-by-step explanation:

Answer:

175,760,000 different California license plates can be made.

Step-by-step explanation:

Possible outcomes for each number of letter:

10 numbers(from 0 to 9) and 26 letters.

Format of the plate:

Number - letter - letter - letter - number - number - number

The numbers of possible outcomes are:

10 - 26 - 26 - 26 - 10 - 10 -10

How many different plates?

We multiply these values. So

10*26*26*26*10*10*10 = 175,760,000

175,760,000 different California license plates can be made.

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

Answer:

.998543

9.92749

sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

sqrt(101) is a little more than sqrt(100)  which is 10

Smallest .998543

9.92749

sqrt(101)

10 pi

Answer:

.998543

9.92749

sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

sqrt(101) is a little more than sqrt(100)  which is 10

Smallest .998543

9.92749

sqrt(101)

10 pi

Answer:

4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009

Answer:

sorry i did not get i sorryt

Answer:

"Variable cost" is the appropriate answer.

Step by-step explanation:

Let an equation,

⇒ [tex]y=a+bx[/tex]

here,

or,

We can say that, "y" is a dependent variable as well as "x" is an independent variable.

Thus the independent variable is Variable cost.

Answer:

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

Step-by-step explanation:

Sample size A [tex]n_a=100[/tex]

Sample size B [tex]n_b=250[/tex]

Positive draw from box A [tex]n_a=50[/tex]

Positive draw from box b [tex]n_b=131[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{50}{100}[/tex]

 [tex]P_1=50%[/tex]

Therefore

 [tex]1-P_1=50\%[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{131}{250}[/tex]

 [tex]P_1=52.4%[/tex]

Therefore

 [tex]1-P_1=47.6\%[/tex]

Generally the equation for Standard error S.E is mathematically given by

 [tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]

 [tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]

 [tex]S.E=0.592[/tex]

 [tex]S.E=59.2\%[/tex]

Therefore

 [tex]Z=\frac{50-52.4}{59.2}[/tex]

Generally

 [tex]P value P>0.05[/tex]

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

Answer:

(2.5, -1.3)

Step-by-step explanation:

x = (3.5 + 1.5) / 2

x = 5/2

x = 2.5

y = (2.2 - 4.8) / 2

y = -2.6/2

y = -1.3

(2.5, -1.3)

Answer is A y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.

If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.

The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.

Now, only the sec function has the property that;

y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Answer:

t(s) > t(c)  then t(s) is in the rejection region for H₀.

We reject H₀ we support the claim that the mean penetration is bigger than that of the specifications

Step-by-step explanation:

Sample Information:

sample size    n  =  35

sample mean    x  =  52.7

sample standard deviation  s  =  4.8

spec. true average  =  50

Test Hypothesis:

Null Hypothesis                             H₀              x  =  50

Alternative Hypothesis                 Hₐ              x  >  50

The standarddeviation of the population is unknown therefore even though we assume  distribution is normal we have to use t-student distribution

The alternative hypothesis indicates that the test is a one-tail test, we will test at significance level α  =  5 %     CI  =  95 %

for  α   =  0.05    t(c)  is from t-student -table   and with  df  = 35 - 1

df  =  34     t(c)  =  1.69

t(s)  =  (  x  -  μ ) / s/√n

t(s)  = ( 52.7  -  50 ) / 4.8/√35

t(s)  =  2.7 * 5.92 / 4.8

t(s)  =  3.33

Comparing   t(s)  and   t(c)  

t(s) > t(c)  then t(s) is in the rejection region for H₀.

We reject H₀ we support the claim that the mean penetration is bigger than that of the specifications

Answer:

(c) No; There is an exponent on a variable x that is not a whole number

Step-by-step explanation:

Given

[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]

Required

Determine if the function is a polynomial function of not

A polynomial function is represented as:

[tex]f(x) =ax^n + bx^{n-1} + cx^{n-2}+........+z[/tex]

Where n is an integer and the least power is 0

So, we have:

[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]

The degree of x is [tex]\frac{1}{5}[/tex] ----- i.e. not an integer

Hence, the function is not a polynomial

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c[/tex]

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

[tex]B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19[/tex]

Answer:

Option C.

Step-by-step explanation:

If we have two functions:

f(x) and g(x)

the product is given by:

(f*g)(x) = f(x)*g(x)

So, if here we have

f(x) = √(3*x)

g(x) = √(48*x)

And remembering that the square root is distributive, so:

√a*√b = √(a*b)

We can write:

(f*g)(x) = f(x)*g(x) = √(3*x)*√(48*x) = √(3*x*48*x)

          = √(3*48*x*x) = √(144*x^2) = √(144)*√(x^2)

And here we can use that:

12*12 = 144, then √144 = 12

and

x*x = x^2, then √x^2 = x

So:

√(144)*√(x^2) = 12*x

Then the correct option is C.