Brady can feed, water, and clean up after 24 cows in 120 minutes. McKenna takes 360 minutes to care for 24 cows. How long will it take Brady and McKenna working together to care for 24 cows?

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

[tex]D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]

Total outcomes:

2 components, from a set of 6. So

[tex]T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{10}{15} = 0.6667[/tex]

66.67% probability that all selected components function properly

Answer:

  (-2, 5)

Step-by-step explanation:

The form you're trying to match is the vertex form of the equation of a parabola:

  y = a(x -h)^2 +k . . . . . . . vertex (h, k)

You have ...

  y = -4(x +2)^2 +5

Comparing forms, you see that a=-4, h=-2, k=5.

Then the vertex (h, k) is (-2, 5).

Divide price by quantity of each and compare:

7.80 / 12 = o.65 per tin

4.20 / 6 = 0.70 per tin

12 for 7.80 is less per tin, so is the Best Buy.

1 meter = 1000mm

Convert the dimensions to mm:

1.5 x 1000 = 1500 mm

1.2 x1000 = 1200 mm

Area = length x width

Area = 1500 x 1200 = 1,800,000 square mm

Answer:

0.89

Step-by-step explanation:

First, let’s find out what one tomato costs. To do this, we need to find the unit rate.

To find the unit rate, divide the cost by the number of tomatoes.

cost/number of tomatoes

It costs $3.55 for 24 tomatoes.

cost=3.55

number of tomatoes=24

Substitute these values in.

3.55/24

0.147916666666667

Each tomato costs $0.147916666666667

Now, we have to find out what 6 tomatoes cost.

Multiply the number of tomatoes by the cost of one tomato

number of tomatoes * cost of one

number of tomatoes=6

cost of one= 0.147916666666667

Substitute these values in.

6* 0.147916666666667

0.8875

Round to the nearest cent or hundredth.

The 7 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.

0.89

6 tomatoes will cost about 0.89.

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the population mean of three-circle red-on-white sheds is equal to the four excavation sites.

To compare the population means you have to apply an ANOVA. For this test the variable of interest is

X: number of  three-circle red-on-white sheds.

There is only one factor: "Site" with four treatments "I, II, III; IV"

H₀: μ₁= μ₂= μ₃= μ₄

H₁: At least one population mean is different.

α: 0.05

[tex]F= \frac{MS_{Treatment}}{MS_{Error}} ~~F_{K-1;N-K}[/tex]

Df treatments: k-1= 4-1= 3 (k= nº of treatments)

Df errors: N-K= 21-4= 17 (N= total observations for all treatments)

[tex]F_{H_0}= \frac{102.72}{117.08}= 0.88[/tex]

p-value: 0.4723

Using the p-value approach the decision rule is:

p-value ≤ α, reject the null hypothesis.

p-value > α, do not reject the null hypothesis.

The p-value is greater than the level of significance, the decision is to reject the null hypothesis.

Using a 5% significance level, there is not significant evidence to reject the null hypothesis. Then you can conclude that the population mean three-circle red-on-white sherd count is equal to all the excavation sites.

I hope this helps!

Answer:

BC = 67

Step-by-step explanation:

Since both tangents are originating from a single point, they are equal, rest in the attached file

Answer:

Old adult

Step-by-step explanation:

Because about eighty percent of adult suffer from blood pressure.

Answer:

D

Step-by-step explanation:

Answer:

C = 10π

Step-by-step explanation:

C = Dπ

D = 10

C = 10π

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 10 pi m

We can approximate pi by 3.14

C = 3.14 * 10

C =31.4m

or we can approximate pi by using the pi button

C =31.41592654m

Answer:

Combination 25 to 12

Step-by-step explanation:

[tex]C^{12} _{25}[/tex]

The expression 25! / [(25 - 12)! x 12!] represents the combination.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Let a be the number of items selected from the group of n.

We know that the combination is given by,

ⁿCₐ = n! / [(n - a)! x a!]

The expression is given below.

⇒ 25! / [(25 - 12)! x 12!]

Then the expression can be written as,

⇒ ²⁵C₁₂

Then the expression 25! / [(25 - 12)! x 12!] represents the combination.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Answer:

[tex] 1.3038 \times {10}^{2} [/tex]

Step-by-step explanation:

[tex] (12.3\times 10^8) (1.06\times 10^{-7})\\ = 12.3 \times 1.06 \times {10}^{8} \times {10}^{ - 7} \\ = 13.038 \times {10}^{8 - 7} \\ = 13.038 \times {10}^{1} \\ = 1.3038 \times {10}^{2} [/tex]

Answer:

[tex]1,3038 . 10^{2}[/tex]

Step-by-step explanation:

(12.3 × 10^8)(1.06 × 10^−7)

12.3 × 10^8 × 1.06 × 10^−7

12.3 × 1.06 × 10^8  × 10^−7

10^8  × 10^−7 = 10^(8 -7) = 10^1

12.3 × 1.06 × 10^8  × 10^−7 = 12.3 × 1.06 × 10^1

12.3 × 1.06 =13.038

13.038  × 10^1 = 1,3038  × 10^2

Hope this helps ^-^

Answer:

12m - 4

☆ putting the value of m in the above formula

12 × 4 - 4

= 48 - 4

= 44

6r - 4

☆ Putting the value of r in the above formula

6 × 6 - 4

= 36 - 4

= 32

Answer:

6 cm^2

Solution,

Volume of cube=1 cm^3

Volume of cube=l^3

or,1=(l)^3

or,l=1*1*1

length=2 cm

Again,

Surface area of cube= 6(a)^2

=6*(1)^2

=6*1

=6 cm^2

hope it helps

Good luck on your assignment

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

63.2 = y

Answer:

{4*[6+(18-7)] } ÷1/3

{4*[6+18+7] }÷1/3

{24+72+28}÷1/3

{124}÷1/3

124*3/1

372/1=372

Answer:

16 cubic feet per hour

Step-by-step explanation:

We want to convert from cubic inch per minute to cubic feet per hour,

We can use the standard conversion rate:

1 cubic inch per minute = 0.0347222 cubic feet per hour

=> 462 cubic inch per minute = 462 * 0.0347222 = 16.04 cubic feet per hour

Approximating to whole number, it is 16 cubic feet per hour.

Answer:  Option  16 cubic feet

Step-by-step explanation:

Answer:

~10.8 (ft)

Step-by-step explanation:

Apply the Pythagorean theorem, you can work out the measure of diagonal.

[tex]Diagonal = \sqrt{9^{2}+6^{2} } =\sqrt{81 + 36} =\sqrt{117} =~10.8(ft)[/tex]

The measure of the diagonal of a rectangle is 10.8 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a rectangle measures 9 feet by 6 feet.

Let the length of diagonal be x.

x²=9²+6²

x²=81+36

x²=117

x=√117

x=10.8 feet

Therefore, the measure of the diagonal of a rectangle is 10.8 feet.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ3

Answer:

$80 for 1 pair of shoes

divide $960 by 12

Answer:

[tex] A(t) = 906 e^{0.012t}[/tex]

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:

[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Step-by-step explanation:

We know that the population can be represented with this formula:

[tex] A(t) = 906 e^{0.012t}[/tex]

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:

[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Answer:

50 km

Step-by-step explanation:

As the figures are given similar ,

56/v = 84/75

v = 56 × 75/84

v = 50 km

Answer:

v = 50

Step-by-step explanation:

The trapezoids are similar, so set up a proportion like so:

[tex]\frac{56}{v} =\frac{84}{75}[/tex]

→Cross multiply:

[tex]\frac{4200}{84v}[/tex]

→Divide 4200 by 84:

v = 50

Complete question:

Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.

a) compute P(A and B)

b) If P(A|B) = 0.7, compute P(A and B).

Answer:

(a) P(A and B) = 0.16

(b) P(A and B) = 0.56

Step-by-step explanation:

Two events are independent if occurrence of one event does not affect possibility of occurrence of another.

(a) if A and B are independent, then P(A and B) = P(A) x P(B)

                                                                               = 0.2 x 0.8

                                                                               = 0.16

(b)  If P(A|B) = 0.7, compute P(A and B)

Considering the notations of independent events,

[tex]P(A/B) = P(A)\\\\\frac{P(A \ and \ B)}{P(B)} = P(A)\\\\Thus, P(A/B) = \frac{P(A \ and \ B)}{P(B)}\\\\P(A \ and \ B) = P(A/B) *P(B)[/tex]

                     = 0.7 x 0.8

                     = 0.56

Answer:

The answer is A.

Step-by-step explanation:

First, recall the vertex form of a quadratic equation: [tex]f(x)=a(x-h)^2+k[/tex], where [tex]h[/tex] represents the horizontal change and [tex]k[/tex] represents the vertical change.

The original equation is [tex]g(x)=x^2[/tex], or, in other words, [tex]g(x)=1(x-0)^2+0[/tex].

We are told that the graph is shifted up 3 and right 1. Thus, both values are positive (right and up). Note that up 3 corresponds to a positive vertical change of 3 while right 1 represents a positive horizontal change of 1.

Thus, put these back into the equation in place of [tex]h[/tex] and [tex]k[/tex].

We have:

[tex]f(x)=1(x-(+1))^2+(+3)[/tex]

Or, simplified:

[tex]f(x)=(x-1)^2+3[/tex]

The answer is A.

Answer:

[tex] 3.45 \times {10}^{11} [/tex]

Step-by-step Explanation:

[tex]345,000,000,000 = 3.45 \times {10}^{11} \\ [/tex]

Solution,

42+7x+12x-8

Combine like terms,

= 7x+12x+42-8

Simplify

=19x+34

hope it helps

Good luck on your assignment

Answer:

36+19x

Step-by-step explanation:

Ok, first, combine like terms, so the two values with X.

42 + 7x + 12x – 8

42 +19x – 8

Now, we combine the two values that have no X

42+19x– 8  Imagine there is a plus sign in front of the 42 because it's positive.

So 42-8=36

36+19x

That's your solution, that's the most this can be simplified.

Answer:

A.

In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.

Step-by-step explanation:

We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.

So to get the actual division factor, let's take 3300 and divide it by 30,

3300/30 = 110

So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421

Answer: C In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421

Step-by-step explanation:

3,000 divided by 30 equals 100

Answer:

The mass of wood is 4309.65 kg.

Step-by-step explanation:

Volume of a cylinder is:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of base of cylinder

and [tex]h[/tex] is the height of the cylinder

[tex]r=\dfrac{d}{2}[/tex]

[tex]d[/tex] is the diameter of base of cylinder.

A tree's trunk is in the shape of cylinder only. And we are given the following details:

[tex]d = 0.5m\\\Rightarrow r = \dfrac{0.5}{2} m[/tex]

[tex]h =36 m[/tex]

[tex]V = \pi (\dfrac{0.5}{2})^2 \times 36\\\Rightarrow V = 7.065\ m^3[/tex]

Density of wood of tree = 610 kg per cubic meter

Mass of trunk = Volume [tex]\times[/tex] density

[tex]\Rightarrow 610 \times 7.065\\\Rightarrow 4309.65\ kg[/tex]

Hence, mass of trunk is 4309.65 kg.

Answer:

Step-by-step explanation:

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\frac{dx}{dt}= 1[/tex]

[tex]\frac{dy}{dt}= -4e^{-4t}[/tex]

[tex]\frac{dz}{dt}=5-5t^4[/tex]

The tangent vector for all points [tex]\vec v(t)[/tex] is

[tex]\vec v(t) = \hat {i}-4e^{-4t}\hat{j}+(5-5t^4)\hat{k}[/tex]

[tex]\rightarrow \vec v (0)= \hat{i}-4\hat{j}[/tex]

The vector equation of the tangent line is

[tex](x,y,z) = (0,1,0)+s(\hat{i}-4\hat{j})[/tex]

The parametric equation for this line are

[tex]x= s[/tex]

[tex]y=1-4s[/tex]

[tex]z=0[/tex]

Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are

x=s

y=1-4s

z=0

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\dfrac{dx}{dt}=1[/tex]

[tex]\dfrac{dy}{dt}=-4e^{-4t}[/tex]

[tex]\dfrac{dz}{dt}=5-5t^4[/tex]

The tangent vector for all points  is

[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k[/tex]

[tex]v(0)=i-4j[/tex]

The vector equation of the tangent line is

[tex](x,y,z)=(0,1,0)+s(i-4j)[/tex]

The parametric equation for this line is

[tex]x=s\\\\y=1-4s\\\\z=0[/tex]

To know more about parametric equations follow

https://brainly.com/question/51019