Suppose that the numbers of residents in zip codes are normally distributed with an unknown mean and standard deviation. The numbers of residents of 50 randomly sampled zip codes are used to estimate the mean of the population. What t-score should be used to find the 99% confidence interval for the population mean?

Answer:

3 and 15

Step-by-step explanation:

Factors of 30

30 = 2 , 3 , 5 , 6 , 10, 15  

Odd numbers are: 3, 5, 15

Odd number & multiple of 3  are: 3 and 15

The required two odd numbers are 3 and 5.

We have to determine,  It is a factor of 30 and a multiple of 3 what are 2 numbers.

To obtain the factor of 30 and 2 numbers is calculated in the following steps.

The Factors of 30 are,

30 = 2 , 3 , 5 ,

And multiply the terms by 2,

[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]

After multiply by 2 all the term become even.

Then,

The 2 odd numbers are: 3, 5

Hence, The required two odd numbers are 3 and 5.

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Answer:

8, 16, 26

Step-by-step explanation:

1 squared + (5*1) + 2 = 8

2 squared + (5*2) + 2 = 16

3 squared + (5*3) + 2 = 26

Hope it helps !

Answer:

8, 16, 26

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into [tex]T_{n}[/tex] , that is

[tex]T_{1}[/tex] = 1² + 5(1) + 2 = 1 + 5 + 2 = 8

[tex]T_{2}[/tex] = 2² + 5(2) + 2 = 4 + 10 + 2 = 16

[tex]T_{3}[/tex] = 3² + 5(3) + 2 = 9 + 15 + 2 = 26

Answer:

y=-4x+18

Step-by-step explanation:

y=-6(x-3)+2x

Distribute -6 to the (x-3)

y=-6x+18+2x

Combine like terms

y= -4x+18

Answer: y = -4x + 18

Step-by-step explanation:

First do distributive property

y = (-6x + 18) + 2x

Next, combine like terms

y = -6x + 2x + 18

y = -4x + 18

Answer:

number of half gallons of ice cream the store bought=90 half gallons

Step-by-step explanation:

given data

bought ice cream = $2.30 per half gallon

one freezer malfunctioned and ruined  = 14 half gallons

ice cream is sold = $4.00 per half gallon

profit = $97.00

solution

we know here profit is express as

Profit = Money earned - Money spent       ...................1

and we consider here total number of gallons bought  = x

so Money earned =  $4(x-14)

Money spent   = $2.30(x)

so put here value and we get

$97 = $4(x-14) - $2.30(x)  

solve it we get

x = 90

so number of half gallons of ice cream the store bought=90 half gallons

Answer:

D) 28+32

Step-by-step explanation:

Well, if you solve the equation in the question, you derive 60.

So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.

Hope this helped.

Answer:

28 + 32

Step-by-step explanation:

4(7 + 8)= 4*7+4*8= 28+32= 60

Last option is correct

Answer:

The Answer I think is A' (0,-2)  B' (0,0)  C(-3,0)

I will update and do the step by step when it is verified.

Step-by-step explanation:

Answer:

B. -6

Step-by-step explanation:

hope this helps!

Answer:

-6

Step-by-step explanation:

from (-6,-4) to (x,8) there are already 12 spaces in between the y- axis from -4 to 8. So because there are already 12 spaces in between you dont need to add any space between x and -6 so you can conclude that if x is -6 then there will be 12 spaces inbetween because of -4 and 8

Answer:

Back Section Tickets: $22.50

Front Section Tickets: $35

Step-by-step explanation:

600(12.50+x) + 450(x) = 31125

7500+600x + 450x = 31125

1050x = 23625

x = 22.50 = back section tickets

x+12.50 = 35 = front section tickets

Answer:

90 degrees

Step-by-step explanation:

Answer:

you didn't specify much!

So I am saying they are 45° each and that make the sum of both 90°

Step-by-step explanation:

According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,

Answer: B

Step-by-step explanation:

The probability of winning when playing regular defense is 42 over the total 50.  

42/50 = 0.84

The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.

35/50 =  0.70  

0.84 is greater than 0.70 so your more likely to win playing regular defense.

B. P(win | regular) = 0.84

    P(win | prevent) = 0.70

    Conclusions : You are more likely to win by playing regular defence.

The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.

The number of outcomes of winning by regular defence is 42 out of 50.

∴ P(win | regular) = 42/50 = 0.84

The number of outcomes of winning by prevent defence is 35 out of 50.

∴ P(win | prevent) = 35/50 = 0.70

Conclusion : You are more likely to win by playing regular defence.

Hence the option B is correct.

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Answer:

The arrow stay in flight for 26.92 seconds

Step-by-step explanation:

We are given that  the height of an arrow shot from a bow on Mars is modeled by equation:

[tex]h(t) = 2.3 + 50t - 1.86t^2[/tex]

Where h(t) is the height of arrow

t is the time in seconds

Now we are supposed to find How long does the arrow stay in flight?

Substitute h(t)=0

So,[tex]2.3+50t-1.86t^2=0[/tex]

[tex]1.86t^2-50t-2.3=0[/tex]

t=-.04 , 26.92

Since the time cannot be negative

So,the arrow stay in flight for 26.92 seconds

Answer:  2157

Step-by-step explanation:

3 | 5    10     3      8       -6      -3  

  | ↓    15   75   234   726   2160

   5    25   78   242   720   2157  ← remainder = f(3)

Answer:

Step-by-step explanation:

f(x)=5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3, f(3)

means that : 5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3 is divided by x-3

it won't let me add more attachments

Answer:

[tex] y-a= c(x-b)^2[/tex]

With the vertex [tex] V= (b,a)[/tex]

We see that b = -10 and a = 2 and then the vertes wuld be:

[tex] V= (-10,2)[/tex]

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

[tex] y-2 = \frac{1}{2} (x+10)[/tex]

And if we compare this expression with the general expression for a parabola given by:

[tex] y-a= c(x-b)^2[/tex]

With the vertex [tex] V= (b,a)[/tex]

We see that b = -10 and a = 2 and then the vertes wuld be:

[tex] V= (-10,2)[/tex]

And the best option is:

b. (-10,2)

Answer:

Midpoint: (2, 5)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply plug in the coordinates into the formula:

x = (-1 + 5)/2

x = 4/2

x = 2

y = (5 + 5)/2

y = 10/2

y = 5

Answer:

lcm:

just write the larger common factors:

[tex]{3}^{3} \times {8}^{4} [/tex]

gcm(gcd):

just write the smaller factors:

[tex] {2}^{3} \times {6}^{7} [/tex]

Answer:

The coordinates of S is [tex]( \frac{-3}{4}, \frac{1}{2})[/tex]

Step-by-step explanation:

We are supposed to find the coordinates of point S

Point S is 0.75 units to the left

So, x coordinate of point S = -0.75 = [tex]\frac{-3}{4}[/tex]

Now we are given that point S is 0.5 units up.

So, y coordinate of point S = 0.5 = [tex]\frac{1}{2}[/tex]

So, The coordinates of S is [tex]( \frac{-3}{4}, \frac{1}{2})[/tex]

So, Option A is true .

Answer:

A -3/4,1/2

Step-by-step explanation:

good luck:)

Answer:

  0.50

Step-by-step explanation:

"Cents" generally refers to 1/100 of something. When it is money, it refers to 1/100 of the base unit of the currency. When it is land area, it refers to 1/100 of an acre.

__

In the US, 50 cents means 50/100 dollars, or $0.50.

In Europe, 50 cents means 50/100 euros, or €0.50.

In general 50 cents is 50/100 = 0.50.

Answer:

If x represents the no. of adults

and y represents the children, then

x + y = 550

9x + 3.50y = 3575

Answer:

Step-by-step explanation:

Number of children = y

Number of adults = x

Total people = 550

x + y = 550 ------------------ (I)

Charge for 'y' children =3.50 * y = 3.5y

Charge for 'x' adult = 9 * x = 9x

Total amount = $ 3575

9x  + 3.5y = 3575 -------------(II)

Multiply equation (I) by (-9)

(I)*(-9)  -9x - 9y = -4950  

(II)         9x  + 3.5y = 3575  { Now add and so 'x' will be eliminated}

                  - 5.5y   =  -1375

y = -1375/-5.5

y = 250

Plug in y = 250 in equation (I)

x + 250 = 550

            x = 550 - 250

            x = 300

Number of children = 250

Number of adults = 300

Answer:

Hello!

~~~~~~~~~~~~~~~~~`

Profit % = (Profit/C.P)*100

= (1000/8000)*100

= 12.5%

Step-by-step explanation:

Cp of 1000glass =8000

100were broken =8000-800=7200

now there were 900 glass tumblers left he sold at rs10 each =9000

there for sp is bigger than cp

P in rs =9000-8000=1000

Hope this helped you! Brainliest would nice..!

☆_________________❤︎________________☆

Answer:

a=3,b=5

Step-by-step explanation:

[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]

so as you got it:

[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]

Answer:

121

Step-by-step explanation:

Angles on a line add up to 180.

180 - 115 = 65

Angles in a circle add up to 360 degrees.

360 - 304 = 56

Angles in a triangle add up to 180 degrees.

180 - 56 - 65 = 59

Angles on a line add up to 180 degrees.

180 - 59 = 121

Following are the calculation to the angle:

Given:

Please find the given question.

To find:

angle=?

Solution:

The sum of all the angles on a line is 180.

[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]

A circle's angles sum up to [tex]360^{\circ}[/tex]

[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]

The triangle's angles sum up to [tex]180^{\circ}[/tex].

[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]

The line's angles sum up to [tex]180^{\circ}[/tex].

[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]

Therefore, the final answer is "[tex]121^{\circ}[/tex].."

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Answer:

PV= $86,998,184.72

Step-by-step explanation:

Giving the following information:

Annual payments= $17,285,714.29

Number of years= 7

Interest rate= 9%

First, we need to determine the future value incorporating the interest rate.

FV= {A*[(1+i)^n-1]}/i

A= annual payment

FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09

FV= $159,036,085.1

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 159,036,085.1/1.09^7

PV= $86,998,184.72

Answer:

Area = 4.5 cm²

Step-by-step explanation:

Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 3 cm, Height = 3 cm

So,

Area = 1/2 (3*3)

Area = 9/2

Area = 4.5 cm²

Answer:

Step-by-step explanation:

The triangle CBV is angled triangle with right angle at ∠VBC.

Since  ∠VBC = (3x-4) °

To get the value of x, we will equate the angle  ∠VBC to 90°

This results into (3x-4) ° = 90

Simplifying the resulting equation;

3x-4 = 90

Adding 4 to both sides;

3x-4+4 = 90+4

3x = 94

Dividing both sides by 3

3x/3 = 94/3

x = 31.33°

x ≈ 31.3°

Answer:

28.7

Step-by-step explanation:

i got it right on the quiz

its not 31.3

Answer:  B) 3³ x 7⁶

Step-by-step explanation:

The most they have together is 3³ and 7⁶ the Least Common Multiple is:

3³ x 7⁶

Answer:

-7/4 =x

Step-by-step explanation:

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

Distribute

x -2x -6 =8x+12 -x -4

Combine like terms

-x-6 = 7x +8

Add x to teach side

-x-6 +x = 7x+x+8

-6 = 8x+8

Subtract 8 from each side

-6-8 =8x+8-8

-14 = 8x

Divide by 8

-14/8 = 8x/8

-7/4 =x

Answer:

Step-by-step explanation:

[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]

Answer:

B on edge

Step-by-step explanation:

The arrow is counterclockwise so its positive. The person above had the right idea but on edge is B.

Also I took the test and got 100% have a great day :D

Answer:

The answer is B

Explanation:

The arrow is counterclockwise so its positive.

Answer:

D, the lines coincide.

Step-by-step explanation:

isolate the y so theres no 2y, only y:

2y = 8 - 2x (divide both sides by 2)

y = 4 - x

The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.

Hope this helps :) Brainliest??

Answer:

its D

Step-by-step explanation:

Answer:

x ≠ 1.

Step-by-step explanation:

In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.

x - 1 = 0

x = 1

That means that the domain of the function is x ≠ 1.

Hope this helps!

The value of domain is,

⇒ {- ∞, ∞} - {1}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ y = 3 / (x - 1)

Now, We can find the domain as;

Here, The function is,

⇒ y = 3 / (x - 1)

Hence, Domain is,

⇒ {- ∞, ∞} - {1}

Thus, The value of domain is,

⇒ {- ∞, ∞} - {1}

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