adam had used 84 wihite squares 20 more white than yellow and 15 more red than yellow. what is the number of red squares adam used.

Answer:

a) Mean = 0.125 inch

Standard deviation = 0.13975 inch

b) Probability that the width of the casing minus the width of the door exceeds 1/4 inch = P(X > 0.25) = 0.18673

c) Probability that the door does not fit in the casing = P(X < 0) = 0.18673

Step-by-step explanation:

Let the distribution of the width of the casing be X₁ (μ₁, σ₁²)

Let the distribution of the width of the door be X₂ (μ₂, σ₂²)

The distribution of the difference between the width of the casing and the width of the door = X = X₁ - X₂

when two independent normal distributions are combined in any manner, the resulting distribution is also a normal distribution with

Mean = Σλᵢμᵢ

λᵢ = coefficient of each disteibution in the manner that they are combined

μᵢ = Mean of each distribution

Combined variance = σ² = Σλᵢ²σᵢ²

λ₁ = 1, λ₂ = -1

μ₁ = 24 inches

μ₂ = 23 7/8 inches = 23.875 inches

σ₁² = (1/8)² = (1/64) = 0.015625

σ₂ ² = (1/16)² = (1/256) = 0.00390625

Combined mean = μ = 24 - 23.875 = 0.125 inch

Combined variance = σ² = (1² × 0.015625) + [(-1)² × 0.00390625] = 0.01953125

Standard deviation = √(Variance) = √(0.01953125) = 0.1397542486 = 0.13975 inch

b) Probability that the width of the casing minus the width of the door exceeds 1/4 inch = P(X > 0.25)

This is a normal distribution problem

Mean = μ = 0.125 inch

Standard deviation = σ = 0.13975 inch

We first normalize/standardize 0.25 inch

The standardized score of any value is that value minus the mean divided by the standard deviation.

z = (x - μ)/σ = (0.25 - 0.125)/0.13975 = 0.89

P(X > 0.25) = P(z > 0.89)

Checking the tables

P(x > 0.25) = P(z > 0.89) = 1 - P(z ≤ 0.89) = 1 - 0.81327 = 0.18673

c) Probability that the door does not fit in the casing

If X₂ > X₁, X < 0

P(X < 0)

We first normalize/standardize 0 inch

z = (x - μ)/σ = (0 - 0.125)/0.13975 = -0.89

P(X < 0) = P(z < -0.89)

Checking the tables

P(X < 0) = P(z < -0.89) = 0.18673

Hope this Helps!!!

Answer:

Option C.

Step-by-step explanation:

This is a function because all of the numbers have a partner, and none of them have more than one.

                                    Example of Not a Function

Function                                Not a Function

-4 to 5                                       -4 to 5                             <

9 to 7                                       -4 to 3                              <

13 to 3                                       13 to 3                              ^

-7 to 5                                        9 to 7                               ^

                                                 -7 to 5                               ^

                                           Not a Function because of this

Answer:

Step-by-step explanation:

A graphing calculator can perform logarithmic regression, as can a spreadsheet. The least-squares best fit log curve is about ...

  y ≈ 33.7·ln(x) -45.9

The value of x estimated to make y = 5.2 is about 4.6.

Answer:

A. is your answer

Answer:

D.  4

Step-by-step explanation:

If he leaves the science assignments for the next day, he will spend zero hours on science assignments.  This means that y is equal to 0.  Plug this into the given equation and solve for x.

2x + y = 8

2x + 0 = 8

2x = 8

x = 4

Gerald can complete 4 math assignments.

Answer:

Hey there!

15/k, when k=3

15/3=5

Answer:

5

Step-by-step explanation:

its a simple as 15/3 = 5

have fun

Answer:

You found the area of each side of the rectangular prism, subtracting the missing area from the front and back sides of the prism. Then you added together the area of all 6 faces to find the total outer surface area.

I hope this helps :)

Step-by-step explanation:

Answer:

1/11

Step-by-step explanation:

Answer:

7a+2b-3c

Step-by-step explanation:

6a+a = 7a

2b stays the same

-3c stays the same

Answer:

Hey mate, here is your answer. Hope it helps you.

7a-3c+2b

Step-by-step explanation:

6a+a-3c+2b

=7a-3c+2b

3c and 2b will be the same because the variables are different. They are not like terms.

Answer:

Solution,

[tex](5x + 1)(2x - 1)(2x - 3)[/tex]

[tex] = 5x(2x - 1) + 1(2x - 1) \times (2x - 3) \\ = (10 {x}^{2} - 5x + 2x - 1)(2x - 3) \\ = (10 {x}^{2} - 3x - 1)(2 x - 3) \\ = 10 {x}^{2} (2x - 3) - 3x(2 x - 3) - 1(2x - 3) \\ = 20 {x}^{3} - 30 {x}^{2} - 6 {x }^{2} + 9x - 2x + 3 \\ = 20 {x}^{3} - 36 {x}^{2} + 7x + 3[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

b. null hypothesis cannot be rejected.

Step-by-step explanation:

At the 5% level of significance, the conclusion of the test is that the

The test statistic is 2 and the critical value is 7.815. Since the test statistic is less than the critical value, we can not reject the null hypothesis.

Answer:

Correct!

Step-by-step explanation:

-5(x+8)=-25

x+8=5

x=-3

Answer:

here, -5(x+8)=-25

or, -5x +(-40)= -25

or, -5x=-25+40

or, x= 15/-5

therefore the value of x is -3....ans..

hope u understood..

Answer:

f(x) = -3x + 4

Step-by-step explanation:

Step 1: Move the 9x over

3y = 12 - 9x

Step 2: Divide everything by 3

y = 4 - 3x

Step 3: Rearrange

y = -3x + 4

Step 4: Change y to f(x)

f(x) = -3x + 4

Answer: 60° angle

Step-by-step explanation: AGD is a 90° angle, therefore, subtracting 30 from the 90 degrees gives you 60. As x is vertical to the 60 degree angle and verticals have the same degree measurement, x=60°.

The angle measures between intersecting lines is,

⇒ x = 60°

We have to given that,

There are three lines are intersect at point G.

Now, To find the value of x we can apply the definition of vertically opposite angle and linear pair angles, as,

⇒ 30° + 90° + x = 180°

Solve for x,

⇒ 120° + x = 180°

Divide by 120;

⇒ x = 180° - 120°

⇒ x = 60°

Therefore, The angle measures between intersecting lines is,

⇒ x = 60°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

Answer:

The answer is "Option A"

Step-by-step explanation:

The valid linear programming language equation can be defined as follows:

Equation:

[tex]\Rightarrow \ Min\ 4x + 3y + (\frac{2}{3})z[/tex]

The description of a linear equation can be defined as follows:

It is an algebraic expression whereby each term contains a single exponent, and a single direction consists in the linear interpolation of the equation.

Formula:

[tex]\to \boxed{y= mx+c}[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

182 boxes

▹ Step-by-Step Explanation

$500 ÷ $2.75

= 181.81 ... → 182 boxes

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

182

Step-by-step explanation:

500/2.75  = 181.81

181.81 = 182

Answer:

One solution

Step-by-step explanation:

99% of the time, linear equations (equations that have the first degree) have only one solution. However, it's always good to check.

6 - 3x = 12 - 6x

6 = 12 - 3x

-3x = -6

x = 2

As you can see, only one solution. Hope this helps!

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling refers to the sampling that is used in market analysis. It is used when a researcher can not obtain information as a whole for the population but may obtain information through the groups or clusters

In the given case since andrew divides the residents through regions so this reflected the cluster sampling method

Answer:

The degrees of freedom are given by:

[tex] df =n-1= 15-1=14[/tex]

And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:

[tex] \chi^2 = 7.790[/tex]

And then the best answer would be:

c. 7.790

Step-by-step explanation:

For this case we know that we are using a one tailed (lower tail) critical value using a significance level of [tex]\alpha=0.1[/tex] and for this case we know that the ample size is n=15. The degrees of freedom are given by:

[tex] df =n-1= 15-1=14[/tex]

And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:

[tex] \chi^2 = 7.790[/tex]

And then the best answer would be:

c. 7.790

Answer:

B. g(x) = (x-2)^2 +1

Step-by-step explanation:

When you see this type of equation your get the variables H and K in a quadratic equation. In this case the (x-2)^2 +1  is your H. The (x-2)^2 +1 is your K.

For the H you always do the opposite so in this case instead of going to the left 2 times you go to the right 2 times (affects your x)

For the K you go up or down which in this case you go up one (affects your y)

And that's how you got your (2,1) as the center of the parabola

-Hope this helps :)

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

[tex]P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k![/tex]

a) The probability that exactly 3 arrivals occur during a particular hour is:

[tex]P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\[/tex]

b) The probability that at least 3 people arrive during a particular hour is:

[tex]P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938[/tex]

c) In this case, t=0.25, so we recalculate the parameter as:

[tex]\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5[/tex]

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

[tex]E(x)=\lambda=1.5[/tex]

Answer:

[tex] \boxed{\sf Radius \ of \ circle = 18 \ ft} [/tex]

Given:

Circumference of a circle = 36π feet

To Find:

Length of the radius of circle (r).

Step-by-step explanation:

[tex] \sf \implies Circumference \: of \: a \: circle =2\pi r \\ \\ \sf \implies 36 \cancel{\pi} = 2 \cancel{\pi }r \\ \\ \sf \implies \frac{36}{2} = \frac{ \cancel{2}r}{ \cancel{2}} \\ \\ \sf \implies \frac{36}{2} = r \\ \\ \sf \implies r = \frac{36}{2} \\ \\ \sf \implies r = \frac{18 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies r = 18 \: ft[/tex]

Answer:

x = 28.01t,

y = 10.26t - 4.9t^2 + 2

Step-by-step explanation:

If we are given that an object is thrown with an initial velocity of say, v1 m / s at a height of h meters, at an angle of theta ( θ ), these parametric equations would be in the following format -

x = ( 30 cos 20° )( time ),

y = - 4.9t^2 + ( 30 cos 20° )( time ) + 2

To determine " ( 30 cos 20° )( time ) " you would do the following calculations -

( x = 30 * 0.93... = ( About ) 28.01t

This represents our horizontal distance, respectively the vertical distance should be the following -

y = 30 * 0.34 - 4.9t^2,

( y = ( About ) 10.26t - 4.9t^2 + 2

In other words, our solution should be,

x = 28.01t,

y = 10.26t - 4.9t^2 + 2

These are are parametric equations

Answer:

Mia:10 Maya:5 Maria:3

Step-by-step explanation:

3+7= 10= Mia's age

10÷2=5= Maya's age

Answer:

Mia - 10

Maya - 5

Maria - 3

Answer:

a) 77.3-73/10.7= 0.40187

b) 62.9-66.8/10.8= -0.36111

c) Kylie did relatively better

Step-by-step explanation:

Answer:

3y = 9x

Y= 3x

-3x+y = 8

Y= 3x +8

Step-by-step explanation:

Y= 3x+5

To determine the Line parallel to the above line equation, we have to recall the principle of parallel line .

From principal of parallel line.

M= m'

Means the gradient of the both equation will be equal.

From the above equation.

The gradient= 3

The gradient is the coefficient of x

Comparing to the options giving

Let's look for the options with the coefficient of x = 3

3y = 9x

Y= 3x........ number 1

-3x+y = 8

Y= 3x+8 ... number 2

Other equation will not give is a coefficient of 3

Answer:

-3x + y = 8

and

3y = 9x

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

Answer:

Lateral Surface Area = 168 [tex]cm^2[/tex]

Total Surface Area = 209.57 [tex]cm^2[/tex]

Step-by-step explanation:

Given:

There is a regular hexagonal prism with

Height, h = 7 cm

Base edge length, a = 4 cm

To find:

Lateral surface area and total surface area = ?

Solution:

Formula for lateral surface area is given as:

[tex]LSA = \text{Perimeter of Base}\times Height[/tex]

Perimeter of a hexagon is given as:

[tex]P = 6 \times Edge\ Length\\\Rightarrow P = 6\times 4=24\ cm[/tex]

Now, LSA = 24 [tex]\times[/tex] 7 = 168 [tex]cm^2[/tex]

Total Surface area of prism is given by the formula:

[tex]TSA = LSA + B[/tex]

where B is the area of base.

Base is a regular hexagon, formula for area of a regular hexagon is given by:

[tex]B =6\times \dfrac{\sqrt3}4\times Edge^2\\\Rightarrow B =6\times \dfrac{\sqrt3}4\times 4^2 = 24\sqrt3\ cm^2\\\Rightarrow B = 41.57 cm^2[/tex]

So, Total Surface Area = 168 + 41.57 = 209.57[tex]cm^2[/tex]

So, answer is :

Lateral Surface Area = 168 [tex]cm^2[/tex]

Total Surface Area = 209.57 [tex]cm^2[/tex]

Answer: It' actually:

Lateral Area: 168cm²
Surface Area: 251.1cm²

Hope this helps ya!