11) BRAINLIEST & 10+ POINTS!

Answer:

b = 998

Step-by-step explanation:

first distribute the -24

-24b + 23184 = -768

then subtract 23184 on both sides to get

-24b = -23952

then divide -24 on both sides to get

b = 998

then to make sure it is correct you plug it back in

-24(998-966) = -768

Answer:

b = 998

Step-by-step explanation:

[tex]-24(b-966)=-768\\-24b+23184=-768\\-24b=-23,952\\24b=23,952\\b=998[/tex]

Answer:

a) See step by step explanation

b) See annex

c) t(s) = 3,4255

d) p- value  = 0,00146   or   0,15 %

e) See step by step explanation

Step-by-step explanation:

As n < 30 we use a t-student distribution

Population mean  μ₀ = 10,5

Sample size   n = 23

Degree of freedom      n - 1   =  22

Sample mean    μ  =  11,5

Sample standard deviation   s = 1,4

Confidence Interval  95 %

a) Null Hypothesis                     H₀             μ  =   μ₀

   Alternative Hypothesis         Hₐ              μ  >  μ₀

As CI  = 95 %      α = 5%    or   α = 0,05

We are solving a one tail-test  

With  df  =  22   and     α  = 0,05 in t-table we find t(c) = 1,7171

c)  t(s)  =  (   μ  -  μ₀ ) / s / √n

    t(s)  = ( 11,5 - 10,5 ) / 1,4 / √23

    t(s)  =   1 * 4,7958 / 1,4

    t(s)  =  3,4255

We compare t(s)  and t(c)

t(s) > t(c)   and t(s) is in the rejection region

Then we reject the null hypothesis.

d) P-value for    t(s) = 3,4255  is from t-table   equal to:

We find        for  df = 22    α = 0,001    and   α = 0,005

values of t                            

t                  3,505              2, 819           Δt   =  0,686

α                  0,001               0,005           Δα  =  0,004

with these values we interpolate by rule of three

0,686                          ⇒   0,004

(3,505 - 3,4255)       ⇒       x

x = 0,000463

and  P-value  =  0,00146    or  0,15 %

e) The p-value indicates  we are far away to consider the accptance of H₀

Answer:

67500

Step-by-step explanation:

you would set up the equation:x/y=5/4

Answer:

triangle ΔABC is an isosceles triangle.

Step-by-step explanation:

Given  : Given that is both the median and altitude of triangle ABC.

To find : congruence postulate SAS is used to prove that triangle ABC is what type of triangle.

Solution : We have given that both the median and altitude of triangle ABC.

Let AD represent both the median and altitude of triangle  ABC.

A median divides the side in two equal parts.

So , BD=BC.

An altitude is a perpendicular drawn .

A perpendicular makes an angle of 90°.

Hence <ADB = <ADC = 90°

AD is the side common to both the triangles ADB and ADC.

Hence,     Δ ADB≅ΔADC  (SAS congruence postulate).

So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)

Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.

Therefore, triangle ΔABC is an isosceles triangle.

Answer:

2% of 30,000 is 2/100×30,000

two zeroes of 100 can be cancelled out with 2 zeroes of 30,000, which gives, 2×300= 600

so, 2% of 30,000 is 600

Answer:

600

Step-by-step explanation:

30,000x.02

(.02 is 2% as a decimal)

multiply them to get 600

Answer:

1

Step-by-step explanation:

Divide each term by  

0.5  and simplify.

Divide each term in  

0.5 ( 5 x + 1 ) = 3  by  0.5 . 0.5 ( 5 x + 1 ) 0.5

= 3 0.5 Cancel the common factor of  0.5 . 5 x + 1 = 3 0.5  Divide  3  by  0.5 .

5 x  + 1  = 6

Move all terms not containing  

x

to the right side of the equation.

Subtract  1  from both sides of the equation.

5 x  =  6  −  1  Subtract  1  from  6 . 5 x =  5

Divide each term by  

5  and simplify.

Divide each term in  5 x = 5  by  5 . 5 x 5 = 5 5

Cancel the common factor of  5 .

Cancel the common factor.

5 x 5 = 5 5  Divide  x  by  1 .  x = 5 5  Divide  5  by  5 .

x  =  1

Answer:

i = 77.5°

k = 77.5°

j = 102.5°

h = 155°

Step-by-step explanation:

Since we have an isosceles triangle, we know that ∠i and ∠k are equal. So,

180 - 25 = 2x

155 = 2x

x = 77.5

So m∠i = m∠k = 77.5°

To find m∠j, we use Supplementary Angles:

180 - 77.5 = 102.5°

To find m∠h, we also use Supplementary Angles:

180 - 25 = 155°

The mean is the average. If the mean of 4 letter (a,b,cd) is 12, the sum of them would be 12x4 =48

Now add e to the total: 48 + 50 = 98

The mean is the total divided by the quantity:

Mean = 98 /5 = 19.6

Answer:

D

Step-by-step explanation:

THEY AVOID STUFF THAT HURTS THEIR BUISSNESS AND THEY HAVE TO TAKE RISKS THAT CAN LEAVE THEM BROKE

Answer:

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay =  238.05

Step-by-step explanation:

Gross pay, G = 15 $/h * 20 h = 300 / week

Fed taxes, F = 10%*G = $30

FICA, K = 7.65%*G = $22.95

State taxes, S = 3%*G = $9

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay = 300 - (30+22.95+9) = 300 - 55.95 = 238.05

Answer:

  (x, y) = (25, 18)

Step-by-step explanation:

Use the angle sum theorem. You can write equations for the right angle and for the linear angle.

  (x +11) +(3y) = 90 . . . . sum of angles making the right angle

  (y +7) +90 +65 = 180 . . . . sum of angles making the linear angle

From the second equation, we have ...

  y = 18 . . . . subtract 162

Substituting into the first equation gives ...

  x + 11 + 3(18) = 90

  x = 25 . . . . subtract 65

The values of x and y are 25 and 18, respectively.

_____

Check

VQ = 18+7 = 25

QR = 25 +11 = 36

RS = 3·18 = 54

ST = 65

The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.

Answer:

We cannot use method B

Step-by-step explanation:

We cannot use method B .  We do not know that there be the same number of even and odd numbers assigned with a random number generator

Answer:

108 and 114

Step-by-step explanation:

Answer:

222

Step-by-step explanation:

We want the first two multiple of 6 that are greater than 103

103/6 =17 1/6

Rounding up

6*18 =108

The next  multiple will be 6* 19

6*19 =114

The sum is 108+114 =222

Answer:

A set of prime number between 5 and 15.

Listing method:{ 7,11,13}

Set builder method:{X:X is a set of prime number between 5 and 15}

In listing method,the elements are listed inside the brackets.Listing method are also called rooster method.

In set builder method,the elements are represented by a variable stating their common properties.Set builder method are also called rule method.

Hope this helps...

Good luck on your assignment..

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

Answer:

Step-by-step explanation:

Multiplying both sides by $6$ to get rid of the fractions gives\[6\left(-\frac23\right)(k-6) = 6\left(\frac32\right)(k+6),\]so\[-4(k-6) = 9(k+6).\]Expanding both sides gives $-4k+24 = 9k + 54.$ Adding $4k$ to both sides gives $24 = 13k+54.$ Subtracting $54$ from both sides gives $-30=13k.$ Dividing both sides by $13$ gives $k =-30/13}.$

Answer:

The  derivative is  [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Step-by-step explanation:

From the question we are  told that

      [tex]r(t) = (t^2 ,1 - t , 4t)[/tex]

       [tex]a(2) = (2, 5, -3)[/tex] and  [tex]a'(2) = (4,-3 , 9)[/tex]

At  t  = 2  

       [tex]r(t) = (2^2 ,1 - 2 , 4(2))[/tex]

       [tex]r(t) = (4 ,-1 , 8 )[/tex]

Now  the derivative  of r(t) is  

      [tex]r'(t) = (2t, -1 ,4)[/tex]

At  t  = 2  

     [tex]r'(t) = (2(2), -1 ,4)[/tex]

     [tex]r'(t) = (4, -1 ,4)[/tex]

Now the derivative   of  [tex]r(t) \cdot a(t)[/tex]   At  t = 2 is

        [tex]= r'(2) a(2) + a'(2)r(2)[/tex]

         [tex]= (4,-1,4)(2,5,-3) + (4,-3,9)(4,-1,8)[/tex]

        [tex]= (8 - 5 -12) + (16+3+72)[/tex]

       [tex]= -9 + 91[/tex]

      [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Answer:

y = 15

Step-by-step explanation:

y varies inversely as x.

y = k/x

5 = k/6

Find constant of proportionality.

5 × 6 = k

30 = k

Plug k as 30 and x as 2.

y = 30/2

y = 15

Answer:

If the radius is really 5.2, then the standard equation of this circle is:

[tex](x-4)^2+(y+2)^2=27.04[/tex]

Now, if there was a typo in your question, and the radius is  "5", then, the equation becomes:

[tex](x-4)^2+(y+2)^2=25[/tex]

Step-by-step explanation:

Recall that the standard equation for a circle of radius R, centered at [tex](x_0,y_0)[/tex], is given by:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

Therefore in the case of a circle of radius R = 5.2, and centered at (4, -2), we have:

[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-4)^2+(y-(-2))^2=(5.2)^2\\(x-4)^2+(y+2)^2=27.04[/tex]

Answer: m=4

Step-by-step explanation:

To find the slope, we use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).

[tex]m=\frac{-3-1}{-3-(-2)} =\frac{-4}{-1} =4[/tex]

Answer:

[tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Step-by-step explanation:

Let the first number is x1 and other number is y1 then

[tex]x1 * y1 =216[/tex]

Therefore

[tex]y1=[/tex][tex]\frac{216}{x1}[/tex]

also there sum is

[tex]s1 =x1+y1[/tex]....Eq(1)

Putting the value of y1  in the previous equation

[tex]s1\ =x1 + \frac{216}{x1}[/tex]........Eq(2)

Differentiate the the Eq(2) with respect to x1 we get

[tex]\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }[/tex]

[tex]\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0[/tex]

[tex]{x1^{2} }\ =\ 216\\ x1=\sqrt{216}[/tex]

Putting the value of X1 in Eq(1) we get

[tex]y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}[/tex]

So [tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Answer:

32

Step-by-step explanation:

Answer:

Step-by-step explanation:

A type I error occurs when the researcher rejects the null hypothesis when it is actually true.

A type II error occurs when the research fails to reject the null hypothesis when it is not true.

In this case study,

The null hypothesis is the standard deviation is less that or equal to 13min.

The alternative hypothesis would be that the standard deviation is greater than 13mins.

A type I error would occur when having done an experiment, the researcher rejects the null hypothesis when there is enough evidence that it is actually either less or equal to 13mins

A type II error would occur when the researcher fails to reject the null hypothesis when there is enough evidence that it is actually more than 13mins.

Answer: your answer should be 103

Answer:

Step-by-step explanation:

103

Answer:

1/9

Step-by-step explanation:

The probability of picking a even number is 1/3

The probability of picking another even number is 1/3(if u put the first one back)

So u multiply 1/3 times 1/3 which gives u 1/9 which is ur answer hope this helps

Answer:

1/9

Step-by-step explanation:

3 cards total

1 even number

P(even) = even/total

                1/3

Put the card back

3 cards total

1 even number

P(even) = even/total

                1/3

P(even, replace, even) = P(even) * P(even) =1/3*1/3 = 1/9

Answer:

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:

For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. 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.

What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?

Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).

Succeeding on the 7th attempt, with p = 0.3. So

[tex]P = 0.3P(X = 6)[/tex]

In which

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

[tex]P(X = 6) = C_{6,6}.(0.7)^{6}.(0.3)^{0} = 0.117649[/tex]

[tex]P = 0.3P(X = 6) = 0.3*0.117649 = 0.0353[/tex]

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Answer:

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:

For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. 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.

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?

Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).

Succeeding on the 7th attempt, with p = 0.3. So

In which

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Answer: 96

Step-by-step explanation:

Simply multiply the first question by 12 to get 2x+8y=96

Hope it helps <3

Answer:

discount = 9

new price = 36

Step-by-step explanation:

The discount is the price times the discount percent

45 * 20%

Change to decimal form

45*.20

9

The new price is the original price minus the discount

45-9 = 36

Answer:

3

Step-by-step explanation:

| 6-3|

Find the value inside the absolute value signs

6-3 = 3

| 3|

Means take the non negative value

|3| = 3

Answer:

3

Step-by-step explanation:

Well absolute value means turn the negative into a positive so,

|6-3|

|3|

= 3

Thus,

the answer is 3.

Hope this helps :)

Answer:

Total money raised by the students = $324

Step-by-step explanation:

Raffle tickets sold by Melissa = 18

'Jonah sold half as many tickets as Melissa'

Jonah sold the raffle tickets = [tex]\frac{1}{2}\times 18=9[/tex]

'Shona sold 1.5 times as many as Melissa'

Tickets sold by Shona = 1.5 × 18 = 27

Total number of raffle tickets sold by all of them = 18 + 9 +27 = 54

Since, each ticket cost = $6

Therefore, total money raised by the students = Total number of tickets sold × Cost of each ticket

= 54 × 6

= $324