A slice of cake is a sector of a cylinder. The volume of the piece of cake is ______________cm3

Answer:

(x - 5)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8[/tex]

Answer:

After tax deduction he makes $676.875  a week

Step-by-step explanation:

9.75% of 750 is 71.125

750-71.125 is 676.875

Answer:

-5

Step-by-step explanation:

-4x-12=8

     +12.  +12

-4x=20

Divide -4 on both sides

20/-4

x= -5

Answer:

Table B

Step-by-step explanation:

The table B shows possible outcomes of flipping 3 coins.

A probability experiment is a test in which we execute a series of trials to determine the likelihood of an event occurring in the future. A probability experiment's results may reveal a previously unknown truth or lead us to learn anything about the likelihood (or chance) of an occurrence occurring in the future.

Given:

If three coins are flipped then the possible outcomes are:

{ HHH,

HHT,

HTH

THH,

TTT,

TTH,

THT,

HTT}

So, there total 8 number of outcomes.

But in table 1 the number of outcomes is 5.

Thus, table B shows possible outcomes of flipping 3 coins.

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Answer: t ≥ 33

Step-by-step explanation:

So the temperature has to equal to 33 or less than 33.It can't be greater than 33.

Step-by-step explanation:

inequality form would be x<-12 or >2

I hope this helps

Answer:

2

Step-by-step explanation:

(x+5)>7

x+5>7

x>7-5

x>2

Answer:

c= 5 yards.

Step-by-step explanation:

4*1.5=6

30/6= 5

Answer:

x=0

Step-by-step explanation:

3+ 5x = 3

Subtract 3 from each side

3-3+ 5x = 3-3

5x = 0

divide each side by 5

5x/5 = 0/5

x = 0

Answer:

~ 1.25 centimeters of the snowflake in real life ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      12       =           1      ⇒   x - centimeters of the snowflake in real life

      15                   x

2. Now let us cross multiply, and solve through simple algebra for x:

15 = 12 * x

x = 1.25 centimeters of the snowflake in real life

Answer:

Weight of decaf coffee = 5 pounds.

Weight of regular coffee = 8 pounds.

Step-by-step explanation:

(a) Let x be the weight of decaf coffee and y the weight of regular coffee. Then:

x + y = 13

2x + 3y = 34

(b) From the first equation x = 13 - y, so substituting for x in second equation:

2(13 - y) + 3y = 34

26 - 2y + 3y = 34

y = 34 - 26 = 8.

Substituting for y in the first equation:

x + 8 = 13

x = 5.

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

[tex] \\ [/tex]

Step-by-step explanation:

How much did they eat all together?

[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]

[tex] \\ [/tex]

How much was left over?

[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]

Answer:

  250

Step-by-step explanation:

It appears your profit function is ...

  150x1 +250x2

This tells us the profit for each unit of product 2 is 250.

Answer:

x = 1 and x = 3

Step-by-step explanation:

Move 8x over to get the equation 2x² - 8x +6 = 0

Then factor to get (2x - 2)(x - 3)

Set both factors equal to zero and solve

2x - 2 = 0

2x = 2

x = 1

x - 3 = 0

x = 3

Answer:

45cm

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Volume of an hemisphere = 1/2 of volume of a sphere

Volume of hemisphere = 1/2{4/3πr³}

Volume of hemisphere = 2/3πr³

Given

Volume of the hemisphere = 60,750πcm³

60,750π = 2/3πr³

π cancels out

60,750 = 2/3r³

Multiply both sides by 3

2r³ = 60,750×3

2r³=182,250

Divide both sides by 2

r³ = 91,125

Find the ∛ of 91,125 to eliminate the cube on r

r = ∛91,125

r = 45cm

Answer:56.52m, Eugene used a wrong formula

Step-by-step explanation:

diameter=18m

π=3.14

Circumference of circle=π x diameter

Circumference of circle=3.14 x 18

Circumference of circle=56.52m

Eugene used a wrong formula

Circumference of circle=2 x π x diameter

instead of

Circumference of circle=π x diameter

Answer:

You are correct

Step-by-step explanation:

x - 8 < 23

Add 8 to both sides

x - 8 + 8 < 23 + 8

Simplify

x < 31

Yes, you are correct.

Answer:

4

Step-by-step explanation:

The degree is the highest power on the exponent when they are lined up from highest to lowest

The degree is 4

Answer:

m= 0/-2

Step-by-step explanation:

Answer: C & D

Step-by-step explanation:

I took the test and got it right (:

Hope this helps

A scalene triangle has NO equal sides A has 3 equal sides and B has 2 equal sides, so that means Triangles C & D are your answer!

[insert answer here]

Step-by-step explanation:

Answer:13°

Step-by-step explanation:

a + b + x=180 sum of angles in a =180°

85° is alternate to a

Therefore a=85°

98° and b are supplementary angles

98+b=180

b=180-98

b=82°

Recall that

a + b + x=180

85+82+x=180

167 + x=180

Collect like terms

x=180-167

x=13°

Answer:

[tex]z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83[/tex]    

The p value for this case would be:

[tex]p_v =2*P(Z>14.83)\approx 0[/tex]    

For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different

Step-by-step explanation:

Information given

[tex]X_{1}=775[/tex] represent the number of people fully employed men

[tex]X_{2}=680[/tex] represent the number of people fully employed women

[tex]n_{1}=840[/tex] sample 1 selected  

[tex]n_{2}=1077[/tex] sample 2 selected  

[tex]p_{1}=\frac{775}{840}=0.923[/tex] represent the proportion estimated for male employed

[tex]p_{2}=\frac{680}{1077}=0.631[/tex] represent the proportion estimated for women employed

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value for the test

System of hypothesis

We want to test the claim that the employment levels for men compared to woman were different, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} = p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1} \neq p_{2}[/tex]    

For this case the statistic is given by:

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{775+680}{840+1077}=0.759[/tex]  

Replacing the info given we got:

[tex]z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83[/tex]    

The p value for this case would be:

[tex]p_v =2*P(Z>14.83)\approx 0[/tex]    

For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different.

Answer: ask the question

Step-by-step explanation: what's the question can you b more specific I could answer it for you

Answer:

What do you want the answer to be?

Step-by-step explanation:

Do you want to translate your measures to another measure?

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

The solution of the system of linear equations given is (2,-3), the correct option is C.

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

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Answer:

[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Step-by-step explanation:

Information given

We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 100[/tex]  

Alternative hypothesis:[tex]\mu > 100[/tex]  

The statistic for this case is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

The statistic calculated for this case  [tex]t_{calc}= 1.42[/tex]

The degrees of freedom are given by:

[tex]df=n-1=30-1=29[/tex]  

Now we can find the p value using tha laternative hypothesis and we got:

[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Answer:D

Step-by-step explanation:

(4/5)^0

4^0/5^0=1/1=1

Answer: 0.2119

Step-by-step explanation:

Find the z-score.

(x - μ)/σ

The equation would be:

(137-133)/5 = 0.8

p-value = 0.7881

Subtract that from 1.

1 - 0.7881 = 0.2119

Answer:

$1125

Step-by-step explanation:

100d + 25h = $$

100(3) + 100(3) + 25(3*3) + 25(3*4) =

300 + 300 + 225 + 300 =

1125

Answer:

Depende del tipo de prisma del que estés hablando.

Step-by-step explanation:

Un  el prisma rectangular tiene 6 bases y un prisma triangular tiene 5 bases. Un prisma triangular sólo tiene dos bases.

Answer:

2x3 - x2 - 50x + 25

Step-by-step explanation:

So the first thing you would do is multiply (x - 5)(x + 5)

x2 + 5x - 5x - 25

then you would simplify

x2 - 25

then you would multiply it by 2x - 1

(x2 - 25)(2x - 1)

2x3 - x2 - 50x + 25

so your answer is  

2x3 - x2 - 50x + 25