Please help I need this by tommorrow

Please Help I Need This By Tommorrow

Answers

Answer 1

Answer:

I think you would have to do 2 times 7

Answer 2

Answer:

h = 2.5cm or 5/2 cm

Step-by-step explanation:

Vol = Basearea•h

In your question, the base is the triangle shape. The rectangles go around the sides of the 3-d shape and on top is another triangle that we can't really see. In your image it is kind of laying on its side. So if we stand it up properly, the triangles are on the top and bottom. The triangle is the base.

Volume was given; it is 35. Also given is one side of the rectangles, that is 7.

So we can fill in 35 and 7 into the volume formula and calculate the Basearea.

V = B • h

35 = B • 7

35 = 7B

Divide by 7.

5 = B.

We have calculated the Basearea. This is the area of the triangle shaped bottom. The area formula for a triangle is:

A = 1/2bh

We just found that A=5 and we were given that the base of the triangle is 4.

A = 1/2bh

5 = 1/2•4•h

5 = 2h

Divide by 2.

5/2 = h

This is the height of the triangle, h in the picture. (The h in the volume formula and h in the triangle are different)

This is what the question is asking for, h = 5/2 or in decimals, h = 2.5cm


Related Questions

Terms:
Length of lease = 48 months
• MSRP of the car = $32,100
Purchase value of the car after lease = $26,200
Down payment = $4400
Monthly payment = $450
$435 security deposit
$530 acquisition fee.

Answers

The total cash that's due at signing will be $5365.

How to calculate the cash?

It should be noted that security deposit on acquisition are paid at the begining.

The total cash that's due at signing:

= Down payment + Security deposit + Acquisition fee

= 4400 + 435 + 530

= $5365

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help me please eeeeeeeeee

Answers

Answer:

A

Step-by-step explanation:

Fundamental Theorem of Algebra:

   This states that any polynomial with degree n will have n solutions which are real or complex.

Since this function you gave has 4 zeroes, this function has to have at at least a degree of 4. The reason I say at least, is because of something called multiplicity. When a zero has an even multiplicity it will have a turning point at the zero, if it has an odd multiplicity it will pass the x-axis. So assuming each zero only has a multiplicity of 1, then this will have at least a degree of 4. It also might have complex zeroes which still count as zeroes.

End Behavior of Polynomial Functions:

   So this is pretty easy to remember, but if the leading coefficient is positive, then the end behavior to the right will go up, if it's negative it will go down. Now the next thing to know is an odd degree means that the end behavior will go in opposite directions. So if the right goes up, then the left side will be going down and vice verse. if it's an even degree then the two opposite sides will go in the same direction.

In this case both ends are going down, in the same direction. This means that the leading coefficient is negative and the degree is even.

Using these two things, we can exclude answers

B can't be the answer, it only has 3 zeroes, this has at least 4.

C can't be the answer, it has an odd degree so the end behaviors would go in opposite directions

D can't be the answer, it has a positive leading coefficient so the right side would be going up

This means the only possible equation is A which has at least a degree of 4, negative leading coefficient, and even degree.

whats the distance between -3 and -12

Answers

Answer:

9

Step-by-step explanation:

We can just count from -3 to -12 and get 9 as the distance

the answer would be 9

Brainliest + 25, Urgent
For all values of x, there is a function h such that 4h(x) = h(4x). What is the value of h(6) if h(24) = 20 ?

Ty!

Answers

The  value of h(6) = 5

What is a Function ?

A function is a mathematical statement used to relate two variables .

It is given that

4h(x) = h(4x)

It is also given that

h(24) = 20

now to determine the value of h(6)

4* h(6) = h(6 *4)

4* h(6) = h(24)

4 * h(6) = 20

h(6) = 5

Therefore the value of h(6) = 5.

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Jack and Diane are jogging back and forth along a one-mile path.They started out at 9:00 am from opposite ends of the path.they passed each other in 10 minutes when Diane has gone 1/3 mile.what time will they first meet at one end of the path?you have to assume they keep jogging at the same speed.

Answers

Answer:

Step-by-step explanation:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane’s speed is 1/3 miles / 10 min.

Jack’s speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

What is the following product?
(√14-√3)(√12+√7)
O 2√√42+7√√2-6-√√21
O√√14-6+√√7
O√26+ √21-√15-/10
O2√42-√√21

Answers

Answer: [tex]3\sqrt{21}+7\sqrt{2}-6[/tex]

Step-by-step explanation:

[tex](\sqrt{14}-\sqrt{3})(\sqrt{12}+\sqrt{7})\\\\=(\sqrt{2}\sqrt{7}-\sqrt{3})(2\sqrt{3}+\sqrt{7})\\\\=4\sqrt{21}+7\sqrt{2}-6-\sqrt{21}\\\\=\boxed{3\sqrt{21}+7\sqrt{2}-6}[/tex]

The product on the equation is A = 2√42 - 6 + 7√2 - √21

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( √14 - √3 ) ( √12 + √7 )

On simplifying , we get

A = √14 ( √12 ) - √3 ( √12 ) + √14 ( √7 ) - √3 ( √7 )

A = √168 - √36 + √98 - √21

On further simplification , we get

A = 2√42 - 6 + 7√2 - √21

Therefore , the value of A is 2√42 - 6 + 7√2 - √21

Hence , the product is A = 2√42 - 6 + 7√2 - √21

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Which table represents a proportional relationship?

Answers

how do u not know this

Step-by-step explanation:

my guy

Determine the seating capacity of an auditorium with 34 rows of seats if there are 16 seats in the first row, 20 seats in the second row, 24 seats in the third row, and so on.

Answers

Answer:

2788.

Step-by-step explanation:

This is represented by an arithmetic series  with first term 16 and common difference 4.

The number of rows n = 34.

The capacity

= sum of 34 terms

= (34/2)[2*16 + 4(34-1)]

=  2788.

Answer:

2788

Step-by-step explanation:

16,20,24,.. This is a arithmetic progression with common difference of 4

Sn=? , d=4 , a =16 , n=34[tex]Sn=\frac{34}{2}[2(16)+(34-1)4] \\\\Sn=17[32+33(4)]\\\\Sn=17[164]\\\\Sn=2788[/tex]

Can someone help please?

Triangle not drawn to scale
Given: m&A= 62°,m&C=28°,c=24cm. Then a
_?__cm to the nearest hundredth.

Answers

Answer:

a = 45.14

Step-by-step explanation:

First we need to determine whether this is a non-right triangle or a right triangle.

Since we have two angles already, we can determine whether the third angle is a right or non-right angle:

The sum of all the angles in a triangle will always add up to 180, so we have

180 - (62 + 28) = 180 - 90 = 90

Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.

If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.  

This means we must use tangent as [tex]tan=\frac{opposite}{adjacent}[/tex]:

[tex]tan (62)=\frac{a}{24}\\ 24*tan(62)=a\\45.137=45.14 = a[/tex]

Currently, Netflix has 93 000 subscribers. Netflix subscriptions are decreasing by 2.2% per day. How many subscribers are there after 5 days?

Answers

There are 83210 subscribers after 5 days

How to determine the number of subscribers?

The given parameters are:

Initial, a = 93000Rate, r = 2.2%

The number of subscribers each day is calculated as:

f(n) = a * (1-r)^n

This gives

f(n) = 93000 * (1 - 2.2%)^n

Evaluate the difference

f(n) = 93000 * 0.978^n

At 5 days, we have:

f(5) = 93000 * 0.978^5

Evaluate

f(5) = 83210

Hence, there are 83210 subscribers after 5 days

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HELP ASAP!!!

When the polynomial 2x^3 + mx^2 + nx – 2 is divided by x – 3, the remainder is 4. When
divided by x – 2, the remainder is 2. What are the values of m and n?

Answers

The values of m and n are -29/3 and 40/3 respectively

Factor and remainder theorem

A polynomial is a function that has a leading degree of 2 and greater. Given the polynomial

P(x) = 2x^3 + mx^2 + nx – 2

If  it is divided by x – 3, the remainder is 4 and divided by x – 2, the remainder is 2, hence;

4 = 2(3)^3 + 9m + 3n - 2

4 = 54 + 9m + 3n - 3

9m + 3n = -47

Similarly

2 = 2(2)^3 + 4m + 2n - 2

4m + 2n = -12

Solve simultaneously

9m + 3n = -47 * 2

4m + 2n = -12  * 3

______________
18m + 6n = -94

12m + 6n = -36

Subtract

6m = -58

m = -58/6 = -29/3

For the value of n

4m + 2n = -12

2m + n = -6

2(-29/3) + n = -6

n = -6 + 58/3

n = 40/3

Hence the values of m and n are -29/3 and 40/3 respectively

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3 metres of material cost £1.56
Work out the cost of 5 metres of the same material.

Answers

5 meters of the same material costs £2.60

Answer:

2.6

Step-by-step explanation:

1.56 ÷3 = 0.52 ( cost of 1 meter of material )5 × 0.52 = 2.6 ( cost of 5 meter of material )

A chemical company sells a specialized industrial lubricant in 20 liter containers. A
random sample of the latest production lot shows the contents of 10 containers to be
20.72, 20.6, 20.71, 20.92, 19.79, 20.93, 20.09, 20.27, 20.49, and 20.2 liters. Find the
standard deviation of the sampled containers' contents.
A. o = 0.55
B. o = 0.53
C. o = 0.36
D. o = 0.42

Answers

The standard deviation of the sampled containers' contents is 0.36

How to determine the meanData = 20.72, 20.6, 20.71, 20.92, 19.79, 20.93, 20.09, 20.27, 20.49, 20.2Number of data (n) = 10Summation of data = 20.72 + 20.6 + 20.71 + 20.92 + 19.79 + 20.93 + 20.09 + 20.27 + 20.49 + 20.2 = 204.72Mean (μ) =?

Mean = summation of data / number

μ = 204.72 / 10

μ = 20.472

How to determine the standard deviationData = 20.72, 20.6, 20.71, 20.92, 19.79, 20.93, 20.09, 20.27, 20.49, 20.2Number of data (n) = 10Mean (μ) = 20.472Standard deviation (σ) =?

σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)² + (x₆ - μ)² + (x₇ - μ)² + (x₈ - μ)² + (x₉ - μ)² + (x₁₀ - μ)²] / n]

σ = √[[(20.72 - 20.472)² + (20.6 - 20.472)² + (20.71 - 20.472)² + (20.92 - 20.472)² + (19.79 - 20.472)² + (20.93 - 20.472)² + (20.09 - 20.472)² + (20.27 - 20.472)² + (20.49 - 20.472)² + (20.2 - 20.472)²] / 10]

σ = 0.36

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look at image.............

Answers

Answer:

answer is -3 ....is this correct

Find the interquartile range for a data set having the five-number summary: 6.6, 14, 21, 27.5, 36.4

Answers

A box plot has 5 data descriptions. The interquartile range for the given data set is 13.5.

How does a boxplot shows the  data points?

A box plot has 5 data descriptions.

The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.

The given following information can be written as,

The minimum value in the data = 6.6The leftmost line in the box shows the first quartile = 14The middle line shows the median, also called the second quartile = 21The last line of the box shows the third quartile = 27.5The maximum value in the data = 36.4

Thus, the interquartile range for the given data is,

Interquartile range = 27.5 - 14 = 13.5

Hence, the interquartile range for the given data set is 13.5.

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The distance between adelaide and melbourne is 450 miles. For the first 200 miles, Mila drives her car at X miles per hour. For the remaining distance, Mila drives her car at (X+30) mph. The average speed of the whole trip is 30 mph. What is the value of X?

Answers

First part of the trip:
Time taken= 200/x

Second part of the trip:
Time taken= 250/(x+30)

Average:
Time taken= 450/30
Time taken= 15 hours

200/x + 250/(x+3)= 15
-15x^2+405x+600=0
x=28.40805152

14.
the function y=-16t^2+ 50t +4 describes the height (in feet) of a discus t seconds after it is released. describe the domain and range of the function. find the maximum height of the discus.

Answers

The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

What are Domain and range of a Function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The y values are those.A function can be compared to a piece of equipment on an assembly line. A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.

Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

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Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
553. 1,290,000

Answers

Answer:

Hence, 12,90,000 can be expressed as [tex]$1.29 \times 10^{6}$[/tex].

Step-by-step explanation:

- Given 12,90,000

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 12,90,000

1.29

So, 1.29 lies between 1 & 10.

Now, Decimal moved to 6 places at left.

[tex]$1.29 \times 10^{6}$[/tex]

So, [tex]$12,90,000=1 \cdot 29 \times 10^{6}$[/tex].

if one-sixth of a number is 1 1/3, find the number.

Answers

Answer:

8

Step-by-step explanation:

Since one-sixth was multiplyed be 1 1/3, we just have to find the opposite, six-ones. We multiply that by 1 1/3 and we get 8!

In the equation y=kx, where k is a constant. when y=12, then x=5. when y=60, what does x equal?

Answers

Answer:

If y = 60 then x = 25

Step-by-step explanation:

You know that when y = 12 then x = 5

So when y = 60, x = 25

The reason for this is because 12 * 5 = 60.

Which means that since the y = 12 was multiplied by 5, the x = 5 should be multiplied by 5 too.

Since 5 * 5 = 25, then we know that if y = 60, then x will equal 25.

Hope this helped! :D

Use the grouping method to factor the polynomial below completely.
x3-5x2+3x-15
A. (x²+5)(x-3)
B. (x² - 3)(x + 5)
O C. (x² - 5)(x+3)
D. (x²+3)(x - 5)

Answers

The factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

How to factor the polynomial?

The polynomial is given as:

x^3 - 5x^2 + 3x - 15

Group the terms

(x^3 - 5x^2) + (3x - 15)

Factorize each group

x^2(x - 5) + 3(x - 5)

Factor out x - 5

(x^2 + 3)(x- 5)

Hence, the factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

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MATHEMATICS
Find (A-B) n B when A={a,e,i,o,u} and B={a,b,c,d}
a.
b. A
zia
d. A-B

Answers

Answer:

( A - B).

A = { a, e, I, o, u}

B = { a, b, c, d }

{ e, I, o, u}

A - B = subtracting elements of B from A ( all the common elements)

The correct answer would be a and d you welcome

Tina baked a batch of 40 cupcakes. daisy baked 4/5 as many cupcakes as tina. miko baked 1/2 as many cupcakes as daisy. how many cupcakes did the 3 girls bake altogether?

Answers

The three girls baked 88 cupcakes altogether.

Cupcakes Baked by Each

Number of cupcakes baked by Tina, T = 40

It is given that Daisy baked 4/5 as many cupcakes as Tina.

Therefore, number of cupcakes baked by Daisy, D = (4T/5) (Applying fractions)

⇒ D = (4/5)×40

⇒ D = 4 × 8

⇒ D = 32

Also, it is given that Miko baked 1/2 as many cupcakes as Daisy.

Thus, number of cupcakes baked by Miko, M = D/2 (Applying fractions)

⇒  M = 32/2

⇒ M = 16

Calculating Total Number of Cupcakes Baked

Cupcakes baked by the three girls altogether = T + D + M

= 40 + 32 + 16

= 88

Hence, the girls together baked 88 cupcakes.

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A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water. 1. Solve for the y-variable. y – 12 = –3(x – 1) y – 12 = –3x + 3 y = –3x +15 2. Write the equation using function notation. f(x) = –3x +15 The tub started with gallons of water.

Answers

The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

y –12 = –3(x – 1)

We can write the above equation as follows:

y = 12 - 3(x - 1)

y = 12 - 3x + 3

y = -3x + 15

or

f(x) = -3x + 15

Plug x = 0

f(0) = 15

The tub started with 15 gallons of water.

Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

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I need the answer to this question

Answers

Answer:

See attached image.

Step-by-step explanation:

The graph of the function f(x) = -(x+3)(x-1) is shown
below.
64-2
Mark this and return
6
A
2
-2-
-4
-6
2
4
6
X
Which statement about the function is true?
O The function is positive for all real values of x where
x < -1.
The function is negative for all real values of x where
x <-3 and where .x > 1.
O The function is positive for all real values of x where
x > 0.
O The function is negative for all real values of x where
x <-3 or x>-1.
Save and Exit
Next
Submit

Answers

The true statement about this function is that: B. the function is negative for all real values of x, where x < -3 and where x > 1.

What is a function?

A function is a mathematical expression which can be used to define and indicate the relationship existing between two or more variables in a data set.

By critically observing the graph which models the given function (see attachment), we can logically deduce that the true statement about this function is that it's negative for all real values of x, where x is less than -3 and where x is greater than 1.

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In a New York State daily lottery game, a sequence of five digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that four of the five digits are the same.

Answers

The probability that four of the five digits are the same is 0.036.

There are 10,000 (10*10*10*10) possible sequences. There are 4C3 ways, 4, of having exactly three digits be the same value. The differing digit can be any of the four positions. There are 10P2 ways, 90 (10*9), to choose the digits of the sequence since we have 10 choices for the digit to be repeated, then 9 more options or the differing digit. The product of the combination arrangements and permutation selection, 4*90, shows there are 360 sequences with three of the same digit. Thus the probability is 360/10,000 or 0.036 or 3.6%.

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which expression is a sum of cubes?

Answers

Answer:

Step-by-step explanation:

A more complicated expression such as 64x3+27y3 64 x 3 + 27 y 3 is also a sum of cubes since 64x3=(4x)3 64 x 3 = ( 4 x ) 3 and 27y3=(3y)3 27 y 3 = ( 3 y ) 3 . Please note, that expressions such as 2x3 2 x 3 are not perfect cubes.

Solve. Set up the Table.

$2,000 at 2.50% for 50 years.

$2,000 at 5.00% for 50 years.

Answers

Answer:

can you explain more i dont get what u mean if you mean 2,000 a year and you get 2.50% or 5.00% and you get it for 50 years your answer for each would be 50 and 100

Select the correct answer from each drop-down menu.
Consider triangles ABC and QPRshown.
Triangle ABC is
triangles are
B
triangle QPR. Since the transformations
Reset
Next
, the

Answers

Triangle ABC is similar to triangle QPR due to the transformations reflection, the triangles are similar by side-angle-side similarity theorem.

How to Identify similar triangles?

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

- Rotation means that it rotates or turns the pre-image around an axis with no change in size or shape

- Reflection means that it flips the pre-image and produces the mirror-image with no change in size or shape or orientation

- Translation means that it slides or moves the pre-image with no change in size or shape but has changes in only the direction of the shape

- Dilation means that it stretches or shrinks the pre-image.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. It should be noted that, corresponding angles are congruent.

Thus, we conclude that triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.

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Answer: reflected and then translated onto   only involve rigid motions    

congruent

Step-by-step explanation:

Triangle  abc

is

reflected and then translated onto

triangle qpr

. Since the transformations

only involve rigid motions

, the triangles are

congruent

.

Other Questions
How many solutions exist for the system of equations graphed below? Natalie is ordering a burrito. For the main protein, she is given the option of veggie, chicken, carnitas, or carne asada. For the beans, she is given the option of no beans, black beans, or pinto beans. How many possible order combinations are there? Based on a poll, 867 of 1050 randomly selected adult said that they always wear seat belts. Construct and interpret a 97% confidence interval for the proportion of adults who always wear seat belts. What is it called when one hormone helps another have its full effect? If the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gravity at the surface would become. In what ways did the Second Great Awakening and transcendentalism reflect and react to the changes in antebellum thought and culture? (300 word response) Through how many degrees does the hour hand of a clock travel between 3:00pm and 3:15pm? 98. A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was two ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. a. i. x =________ ii. =________ iii. sx =________ b. In words, define the random variable X. c. In words, define the random variable X . d. Which distribution should you use for this problem? Explain your choice. e. Construct a 90% confidence interval for the population mean weight of the candies. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. f. Construct a 98% confidence interval for the population mean weight of the candies. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. g. In complete sentences, explain why the confidence interval in part f is larger than the confidence interval in part e. h. In complete sentences, give an interpretation of what the interval in part f means. Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.Which explains whether FGH is congruent to FJH?They are congruent because GH GF, JF JH, and FH FH.They are congruent because opposite sides of a parallelogram are congruent.They are not congruent because only one pair of corresponding sides is congruent.They are not congruent because only two pairs of corresponding sides are congruent. Determine the equation of the parabola shown in the diagram in vertex form. The article about Kings Canton and Sequoia National Parks: a. explains how the parks became part of the national park system. b. gives statistics about the number of visitors that come to the parks each year. c. informs people about the landscape and geology of the parks. d. All of these choices are correct. Jane's opinion of Susie can help me make an objective evaluation of whether Susie would be a good class president. True False 15. Ms. Goldman is thinking of a number that is less than 20 and has three factor pairs. She saysthat if she adds the factors in each factor pair the sums are 19, 11 and 9. What is her number? If 1/2 is the fraction representing the ratio of corresponding sides of two similartriangles, the ratio of the areas of the triangles would be: When more and more units of a variable factor are combined with constant amount of a fixed factor, such that the variable factor becomes abundant compared to the fixed factor, the output will eventually: c) Describe the relationship between E and K. What is the measure of K? (1 point) A box can be filled completely using 9 layers of 11 units cubes. What is the volume of the box? "Deka" is a decimal unit prefix in the metric system, denoting a factor ofSelect one:a. 10b. 100c. 1,000d. 10,000 Robert is selling televisions at an electronics store. The televisions normally cost $545 each but are being sold at an 8% discount. What is the minimum number of televisions Robert must sell if he wants to meet his quota of $100,000 in total sales? how asthma is caused i just need a short answer