A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.


Confidence Level
90%
95%
99%
z*-score
1.645
1.96
2.58

Remember, the margin of error, ME, can be determined using the formula mc021-1.jpg.
128.75 to 147.25
130.98 to 145.02
132.10 to 143.90
137.38 to 138.62

The volume of this box is indeed 84 in^3.  What were you looking for beyond that?

Base:  (7 in)(3 in) = 21 in^2

Height:  4 in

volume = (21 in^2)(4 in) = 84 in^3 (answer)

The temperature in degrees Fahrenheit when it is 90 °C is approximately 194 °F. Therefore, option d is the correct answer.

Let's use the correct formula [tex]F = \frac{9}{5}C +32[/tex] to find the temperature in degrees Fahrenheit when it is 90 °C.

[tex]F = \frac{9}{5} *90+32[/tex]

Now, let's calculate:

[tex]F = \frac{9}{5} *90+32[/tex]

F=162+32

F=194

Therefore, the temperature in degrees Fahrenheit when it is 90 °C is approximately 194 °F.

So, the correct answer is D. 194 °F.

Answer:

3 mph

Step-by-step explanation:

Two cyclists leave town at the same time on the same road going in  the same direction.

Cyclist A is going 6 mph faster than cyclist B

Let speed of cyclist B be x mph

Speed of cyclist A be (x+6) mph

Both cyclist leave town at the same time and traveled 8 hours.  

After 8 hours cyclist A has traveled 3 times the distance as cyclist B

Therefore, 8(x+6) = 3(8x)

8x + 48 = 24x

24x - 8x = 48

       16x = 48

          x = 3 mph

Hence, The speed of cyclist B was 3 mph

Answer:

44 and 11

Step-by-step explanation:

We are given expression :  5+2x10.

It can be read as 5 plus 2 times 10.

Now, we need to see, what operation should carry out first.

Please note: We always follow the order of operations.

The order of operations could be follow by the rule  PEMDAS.

It stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

We don't have Parentheses, Exponents in the given problem.

So, we would start order of operations: first multiplication and then addition.

So, we need to multiply 2 × 10 first.

2 × 10 = 20.

Now, we need to apply addition operation.

Therefore, 5+2x10 = 5+20.

On adding 5 and 20, we get 25.

So, the final answer is 25.

Answer:

25 (assuming the x means multiplication)

Step-by-step explanation:

Start by using PEMDAS (Parenthesis, exponents, multiplication and division from right to left, addition and subtraction from right to left) you would start with multiplication or 2x10 which is 20 and then you have 5+20 left and that is obviously just 25

Answer:

60 tokens and the rule is the number of tokens divided by 2

20 cups of oats and the number of cups of raisins times 2

Rosa can play a total of 60 games with 120 tokens.

To determine the number of games Rosa can play with 120 tokens, we need to divide the total number of tokens by the number of tokens required to play a game. Since each game costs 2 tokens, we divide 120 by 2. This gives us the number of games Rosa can play, which is 60.

We can also write a rule to calculate the number of games Rosa can play. Let G represent the number of games, and T represent the number of tokens. The rule would be: G = T ÷ 2. We can substitute T with 120 to find G: G = 120 ÷ 2 = 60.

Here is a table that shows the number of games Rosa can play for different numbers of tokens:

 
   Number of Tokens
   Number of Games
 
 
   2
   1
 
 
   4
   2
 
 
   6
   3
 
 
   8
   4
 
 
   10
   5
 
 
   ...
   ...
 

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Answer:

D

Step-by-step explanation:

a=false

b=false

c=false

d=true

edge.

The number of milligrams of aluminium in the body is 300 times the number of milligrams of gold in the body.

Given amount of gold is = g =  [tex]2 * 10^{-1}[/tex] mg.

Given amount of aluminium is = a = [tex]6*10^1[/tex] mg.

Let the number of milligrams of aluminium in the body is "k" times the number of milligrams of gold in the body.

So, a = kg

[tex]k=\frac{a}{g}\\k=\frac{6\cdot10^{1}}{2\cdot10^{-1}}\\k=300[/tex]

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The body of a 154-pound person contains approximately 300 times more milligrams of aluminum than milligrams of gold. This is found by dividing the amount of aluminum (60 milligrams) by the amount of gold (0.2 milligrams).

To find out how many times the number of milligrams of aluminum is compared to that of gold in a 154-pound human body, we need to divide the amount of aluminum by the amount of gold. The problem states that there are 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. If we simplify these expressions, we get 0.2 milligrams of gold and 60 milligrams of aluminum.

Next step is to divide the number of milligrams of aluminum by the number of milligrams of gold. Hence, 60 ÷ 0.2 gives us 300.

Therefore, the body of a 154-pound person contains approximately 300 times more aluminum than gold.

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Answer:

Step-by-step explanation:

Answer:

[tex]5[/tex] cups.

Step-by-step explanation:

We have been given a line plot, which represents the cups of green ooze. We are asked to find the total number of cups.

To find the total number of cups, we will add all the given quantities as shown below:

[tex]2\times\frac{1}{4}+2\times\frac{3}{8}+2\times\frac{1}{2}+3\times\frac{5}{8}+\frac{7}{8}[/tex]

[tex]\frac{2\times1}{4}+\frac{2\times3}{8}+\frac{2\times1}{2}+\frac{3\times5}{8}+\frac{7}{8}[/tex]

[tex]\frac{2}{4}+\frac{6}{8}+\frac{2}{2}+\frac{15}{8}+\frac{7}{8}[/tex]

Make a common denominator:

[tex]\frac{2\times2}{4\times2}+\frac{6}{8}+\frac{2\times 4}{2\times 4}+\frac{15}{8}+\frac{7}{8}[/tex]

[tex]\frac{4}{8}+\frac{6}{8}+\frac{8}{8}+\frac{15}{8}+\frac{7}{8}[/tex]

Add numerators:

[tex]\frac{4+6+8+15+7}{8}[/tex]

[tex]\frac{40}{8}[/tex]

[tex]5[/tex]

Therefore, there are [tex]5[/tex] cups of green ooze in all.

To determine the diameter of a circle with an area of 78.5 square inches, we solve for the radius using the area formula (A = πr²). We find the radius to be 5 inches, and since the diameter is twice the radius, the diameter is 10 inches.

The student has asked how to determine the diameter of a circle if the area is known to be 78.5 square inches. To find the diameter, we first need to calculate the radius using the area formula for a circle, which is A = πr², or area equals pi times the radius squared. Pi (π) is approximately 3.14159, but for most calculations, we can use 3.14 for simplicity.

To solve for the radius, we rearrange the formula to r² = A / π. Plugging in the given area of 78.5 square inches:

r² = 78.5 / 3.14 = 25

Next, we take the square root of both sides to find the radius: r = √25 = 5 inches.

Now that we have the radius, we can determine the diameter by multiplying the radius by 2, as the diameter is twice the length of the radius. Thus, the diameter of the circle is 10 inches.

The question can be solved using a system of linear equations. The price of each ticket is found to be $20, and the fixed fee added by the ticket agency is $13.

The subject of this question concerns solving a system of linear equations. Given the two scenarios, buying 5 tickets for $93 and buying 3 tickets for $53, we can represent these as equations where 't' represents the price of a ticket and 'f' represents the fixed fee. The equations thus become:

To solve this system of equations, we could subtract the second equation from the first, which would eliminate 'f' and yield an equation only in terms of 't'. This would look like:

2t = 40

From here, we can see that t (the price of each ticket) equals $20. We can then substitute 't' into one of the equations to find the fixed fee 'f', which in this case equals $13.

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Answer:

c

Step-by-step explanation:

A pentagonal pyramid has six faces: one pentagonal base and five triangular lateral faces. Each side of the pentagonal base connects to the apex forming five triangular faces. The total number of faces is six.

A pyramid is a three-dimensional geometric shape with a polygon as its base and triangular faces that meet at a single point called the apex.

A pentagonal pyramid has a base in the shape of a pentagon.

The total number of faces in a pentagonal pyramid equals the number of sides on the base (5) plus one more for the base itself, giving a total of six faces.

Thus, a pentagonal pyramid consists of six faces - one pentagonal base and five triangular lateral faces.

Answer:

The answer is 4x^6 + 6x^5 + 8x^4

Step-by-step explanation:

2x^4(2x^2 + 3x + 4)                 Note: You add the exponents for multiplactation

4x^6 + 6x ^5 + 8x^4                 Note: the exponent is 5 instead of 4 for the 2nd                                                                 :)                                                 term of the soultion because there is a x on 3

I hope this helps you

The value of the perimeter of quadrilateral MNOP is,

= 22 units

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A quadrilateral MNOP is shown in figure.

M = (- 2, 2)

N = (2, 5)

O = (8, 5)

P = (4, 2)

Now, We can formulate;

MP = 6 units

PO = √(8 - 4)² + (5 - 2)²

PO = √ 25

PO = 5

Thus, The value of the perimeter of quadrilateral MNOP is,

= 2 (MP + PO)

= 2 (6 + 5)

= 2 x 11

= 22 units

So, The value of the perimeter of quadrilateral MNOP is,

= 22 units

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We have been given that Daniel's weekly allowance is $10 and we have to figure out his monthly fixed and variable expenses. To tackle this problem we have to figure out what are fixed expenses and what are variable expenses.

Fixed expenses are not going to vary as they are fixed. We have been given that Daniel has  swimming class once a week and pays a $1.50 pool fee. Daniel is also saving for a new swimming trunks  and sets aside $2.50 per week.

Variables expenses vary in a given range. We have been given that Daniel  sometimes goes out to eat with friends and spends $5 to $10. Daniel goes to a swim meet in another town and spends $3 to $9 on bus fare.

Now let us find monthly fixed  expenses first. [tex]1.50+2.50[/tex] are his weekly fixed expenses. To figure out monthly expenses we will multiply weekly expenses by  4 because a month has four weeks.

Monthly fixed expenses=[tex]4\times (1.50+2.50)=4\times 4=16[/tex]$

Now we will figure out monthly variable expenses. We have been given that Daniel has spent $8.50 for lunch and gone for two swim meets costing $7 each.

Monthly variable expenses=[tex]8.50+2\times 7=8.50+14=22.50[/tex]$