maura runs 5 miles in 1.25 hours ava runs 3 miles in 50 minuets or 0.83 hours who runs faster

Answer:

H0: μ ≥ 39

Ha : μ < 39

Step-by-step explanation:

Given:

Specific production hour = 39

Explanation:

The given data is a left tailed test.

So,

The null hypothesis is ;

H0: μ ≥ 39

The alternative hypothesis is ;

Ha : μ < 39

The angles of the rhombus are

             m∠ADC = 58°

             m∠BCD = 122°

What is a rhombus?

An example of a quadrilateral is a rhombus. It is a unique instance of a parallelogram in which the diagonals bisect each other at a 90° angle and all sides are equal.

The properties of a rhombus are:

From the figure,

In ΔDOC.

∠ODC = 180° - ( 90+61) = 29°

The diagonal bisects ∠ADC

So ∠ADC = 2∠ODC = 2 × 29° = 58°

Since the diagonal bisects the angle, ∠BCD = 2∠ACD

                                                                           = 2×61° = 122°

Therefore the angles of the rhombus are

             m∠ADC = 58°

             m∠BCD = 122°

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3b-2a

Simply replace the values given of a and b in the expression.

a= -8.1

b= -6.1

3 x (-6.1)- 2 x(-8.1)

Multiply each term

-18.3 + 16.2

Add

-2.1

Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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Answer:

(a) 0.0178 <= p <= 0.0622

(b) p <= 0.0586

Step-by-step explanation:

We have that the sample proportion is:

p = 12/300 = 0.04

(to)

For 95% confidence interval alpha = 0.05, so critical value of z will be 1.96

Therefore, we have that the interval would be:

p + - z * (p * (1-p) / n) ^ (1/2)

replacing we have:

0.04 + - 1.96 * (0.04 * (1-0.04) / 300) ^ (1/2)

0.04 + - 0.022

Therefore the interval would be:

0.04 - 0.022 <= p <= 0.04 + 0.022

0.0178 <= p <= 0.0622

(b)

For upper bounf z-critical value for 95% confidence interval is 1.645, so upper bound is:

p + z * (p * (1-p) / n) ^ (1/2)

replacing:

0.04 + 1.645 * (0.04 * (1-0.04) / 300) ^ (1/2)

0.04 + 0.0186 = 0.0586

p <= 0.0586

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

Hey there! The answer to your question will be below

Step-by-step explanation:

The answer to your question is -1/2

-1/2x + 1/4

= -1/2

Hope that helps

By:xBrainly

The equation of the largest sphere with center that is contained completely in the first octant is (x-1/2)² + (y-1/2)² + (z-1/2)² = 1/4.

First, let's define what the first octant is. The first octant is the space that is defined by positive x, y, and z coordinates. This means that all points in the first octant have a positive x-coordinate, a positive y-coordinate, and a positive z-coordinate.

To find the center of the sphere, we need to consider that it is contained completely within the first octant. This means that the center of the sphere must have coordinates that are less than the maximum values of x, y, and z coordinates in the octant.

Let's call the center of the sphere (a, b, c) and the radius r. Since the sphere is contained in the first octant, we know that a, b, and c are positive values. We also know that the sphere is the largest possible, so the radius r is equal to the minimum value of a, b, and c.

So, we can say that the equation of the sphere is

=> (x-a)² + (y-b)² + (z-c)² = r².

We need to find the values of a, b, c, and r such that the sphere is the largest possible and is completely contained within the first octant.

To find these values, we need to consider that the maximum values of x, y, and z in the first octant are all equal to 1 (since all coordinates are positive). So, we can set a, b, and c to be less than or equal to 1, and r to be the minimum value of a, b, and c.

After some calculations, we can see that the maximum value of r is 1/2 (when a = b = c = 1/2), and the center of the sphere is (1/2, 1/2, 1/2). Therefore, the equation of the largest sphere that is completely contained in the first octant is:

(x-1/2)² + (y-1/2)² + (z-1/2)² = 1/4.

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Answer: It's 64 with no remainder

Answer:

Width = 'x'

Length = 4 + 2x

Perimeter = 2 x Width + 2 x Length

86 = 2(x) + 2(4 + 2x)

86 = 2x + 8 + 4x

2x + 4x = 86 - 8

6x = 78

x = 13

Width = 13 cm

Length = 30 cm

Hope this helps :-)

Step-by-step explanation:

0. A' (7, -2)

1. ,B' (-7, 7)

2. C' (-7, -1)

3. D' (1, -2)

4. A' (-2, -7)

1) Let's find out the location of Image of A, A' since there was a Rotation 90º CW

Pre-image Rule Image

A (2,7) (x,y) -> (y,-x) A' (7, -2)

2) For B' let's find out the image a Rotation of 270º CW

Pre-image Rule Image

B(7,7) (x,y) --> (-y, x) B' (-7, 7)

3) C' considering C is rotated 180º CW

Pre-image Rule Image

C(7,1) (x,y) --> (-x, -y) C' (-7, -1)

4) D' considering a Rotation 90º CW

Pre-image Rule Image

D(2,1) (x,y) --> (y, -x) D' (1, -2)

5) A' considering A has been rotated 180º CCW

Pre-image Rule Image

A (2,7) (x,y) -> (-x,-y) A' (-2, -7)

Hence, the answers from 1 to 5 are:

0. A' (7, -2)

1. ,B' (-7, 7)

2. C' (-7, -1)

3. D' (1, -2)

4. A' (-2, -7)

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Step-by-step explanation:

Zach needs 3 cups of sugar

Answer:

115

Step-by-step explanation:

1, 7, 13, 19, 25...

1, 1+6, 1+6+6, 1+6+6+6, 1+6+6+6+6...

In 2nd number, 1 plus one 6

In 3rd number, 1 plus two 6s

:

In 20th, 1 plus nineteen 6s

1 + 6 × 19 = 115

If I'm being honest it's been awhile since I did something like this but I'll give it a go.

Solving

Knowing what some possible answers can be I went with trial and error rather then finding the answer in reverse. It might take up more time but it's much simpler and easier to do.

Below would be what I did

Formula: 2πr

   2(3.14)13.2

^ always deal with the brackets first

    (6.28)13.2

^ if you didn't know the brackets show you need to do multiplication

    = 82.89600

^ after multiplying we got this answer to get it close to what the question suggests you just round it.

Rounding to your nearest Thousandths Place will give us....

= 82.896

Keep in mind if you ever see extra 0's you should round..

Answer

Based on what we did the correct answer would be "C" (13.2in)

(13.2 inches is our radius btw)

The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.

Given function:

f(x) = \(\sqrt{x-4}\)

x - 4 = 0

x = 0+4

x = 4

So x is increasing from 4 to infinity.

That is.

4 < x

x < ∞

4 < x < ∞ and 12 < x < ∞

Therefore The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.

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x=2 and y=(-2)

hope it helps...

Answer:

y = ( -2 )

x = 2

Step-by-step explanation:

4x + y = 6 ⇒ ( 1 )

x - 2y = 6  ⇒ ( 2 )

x = 6 + 2y ⇒ ( 3 )

First, let us find the value of y.

For that, we can replace x with ( 6 + 2y ).

Let us use equation 1 for that.

4x + y = 6

4 ( 6 + 2y ) + y = 6

24 + 8y + y = 6

24 + 9y = 6

9y = 6 - 24

9y = -18

Divide both sides by 9.

y = -2

Now let us find the value of x by replacing y with -2.

For that let us take equation 3.

x = 6 + 2y

x = 6 + 2 × -2

x = 6 - 4

x = 2

Answer: d. 658,350

Step-by-step explanation: A total of 3,300,000 of tax returns are filed.

When filed electronically, 0.05% of all the returns contain errors, which means:

3,300,000 * \(\frac{0.05}{100}\) = 1650

When filed manually, 20% contain error:

3,300,000 * 0.2 = 660000

The difference of the number of tax returns that contain error between manually and electronically filed is

660,000 - 1,650 = 658,350

There will be 658,350 tax returns filed manually more than electronically.

The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.

Using this formula

Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)

Let plug in the formula

Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)

Number of manually filed returns=660,000-1650

Number of manually filed returns=658,350

Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.

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Answer:

The Probability that will pick a red tile from the bag

\(P(E) = \frac{6}{11}\) = 0.545

Step-by-step explanation:

Explanation:-

Given data 4 blue tiles, 12 red tiles, and 6 green tiles in a bag

Total = 4 B + 12 R + 6 G = 22 tiles

Total number of exhaustive cases

         n (S) = \(22 C_{1} = 22 ways\)

The Probability that will pick a red tile from the bag

\(P(E) = \frac{n(E)}{n(S)} = \frac{12 C_{1} }{22 C_{1} } = \frac{12}{22}\)

\(P(E) = \frac{6}{11}\)

P(E) = 0.545

Final answer:-

The Probability that will pick a red tile from the bag = 0.545

The random number simulator of Molly's throws is an illustration of probability.

The probability of making both free throws is 30%

From the complete question, we understand that:

The simulator is based on numbers 0 to 9

Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw

So, we have:

From the random numbers, she has two successful free throws in:

21 50 64 66 42 03 --- 6 numbers of 20

The probability of making two free throws is then calculated as:

P = 6/20

Evaluate

P = 30%

Hence, the probability of making both free throws is 30%

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Answer: 8xw=a

Step-by-step explanation:

w=width

a=area

Answer:

k=77

Step-by-step explanation:

put this as the equation k/11=7

what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.

The length of the hypotenuse is 10.61 yd.

We have,

The sum of the angles in a triangle = 180

Now,

Two angles are 45.

This means,

The side opposite to angle 45 are equal.

So,

a = c

And,

a = 7.5 yd

Now,

Applying the Pythagorean theorem.

b² = a² + c²

b² = 7.5² + 7.5²

b² = 112.5

b = √112.5

b = 10.61

Thus,

The length of the hypotenuse is 10.61 yd.

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Answer:IknowdacorrectansweritisA

Step-by-step explanation:

Answer:

Step-by-step explanation:

At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.

This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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The solution is;

 a. (2, 10) is not a solution to y < 12- x.

 b. (3, 13) is a solution to y ≤ 15 - x

 c. (4, 19) is a solution to y > 19 - x

 d. (5, 13) is not a solution to y ≥ 12 - x

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

A Set of such values is called a solution set to the considered equation or inequality.

Substitute the values where the variables are, and simplify to the point where you can tell whether the statement is true.

Each ordered pair is (x, y), thus the first value gets substituted for x; the second value gets substituted for y.

a. (2, 10)

 11 < 13 -2 = 11

no

b.(3, 13)

 8 ≤ 16 -3 = 13

yes

c. (4, 19)

 20 > 18 -4 = 14

yes

d. (5, 13)

 9 ≥ 15 -5 = 10

no

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Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.