An electronic product takes an average of 4 hours to move through an assembly line. If the standard deviation is 0.5 hours, what is the probability that an item will take between 2.8 and 4.3 hours to move through the assembly line

Answer:

Chances of both even number = 30 times

Step-by-step explanation:

Given:

Chances of both even number = 1/4

Total number of tosses = 120

Find:

How many times both dice show even number

Computation:

Chances of both even number = [Chances of both even number][Total number of tosses]

Chances of both even number = 1/4 [120]

Chances of both even number = 30 times

Answer:

66

Step-by-step explanation:

To find the range, find the difference between the smallest and largest values

The largest value is 193 and the smallest is 127

193 - 127

= 66

The range of Roger's score after he bowled 7 games last weekend is 66

Given scores:

155, 165, 138, 172, 127, 193 , 142

The highest score is 193

Lowest score is 127

Range = Highest score - Lowest score

= 193 - 127

= 66

Therefore, the range of Roger's score after he bowled 7 games last weekend is 66

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Answer:

Her return is  [tex]R = 0.10[/tex]

Step-by-step explanation:

From the question we are told that

   The number of shares purchased is [tex]n = 100 \ shares[/tex]

    The  cost price  of each share is  [tex]x = \$ 20[/tex]

    The limit order is    [tex]y = \$ 33[/tex]

    The first  market price for each share is  [tex]k = \$ 23[/tex]

    The second   market price for each share is [tex]u = \$ 26[/tex]

     The  third market price for each share is  [tex]w = \$ 22[/tex]

Generally the  limit order would  not be  executed given that it is higher than the market opening and  closing price.

  Considering Rebecca's initial investment of $ 20 per share, her return is mathematically evaluated as

         [tex]R = \frac{w + d - x}{x}[/tex]

Here d stands for the dividend but since we are told that the stock did not pay any dividend

        [tex]R = \frac{22 + 0 - 20}{20}[/tex]

         [tex]R = 0.10[/tex]

Answer:

£837.5

Step-by-step explanation:

If she has 50 m² and it costs £16.75 for every m² of concrete, 50 × 16.75 = £837.5.

Answer:

[tex]A(L) = 4L - L^2[/tex]

Step-by-step explanation:

Given

Perimeter = 8m

Required

Determine its area as a function of length

Represent Length and Width with L and W, respectively;

Perimeter (P) is calculated as thus;

[tex]P = 2(L + W)[/tex]

Substitute 8 for P

[tex]8 = 2(L + W)[/tex]

Divide both sides by 2

[tex]4 = L + W[/tex]

Make W the subject of formula

[tex]W = 4 - L[/tex]

Area (A) of a rectangle is calculated as thus:

[tex]A = L * W[/tex]

Substitute 4 - L for W

[tex]A = L * (4 - L)[/tex]

Open bracket

[tex]A = 4L - L^2[/tex]

Represent as a function

[tex]A(L) = 4L - L^2[/tex]

Area of rectangle in terms of length L is

[tex]A(L)= 4L-L^2[/tex]

Given :

A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides

We know that the perimeter of rectangle formula is

[tex]perimeter = 2(length)+2(width )[/tex]

perimeter is 8m

Let the length of rectangle is L

[tex]P=2L+2W\\8=2(L+W)\\4=L+W\\W=4-L[/tex]

so width is 4-L

Now we use area formula

Area of rectangle = length times width

[tex]A=L(W)\\A=L(4-L)\\A= 4L-L^2[/tex]

Area of rectangle in terms of length L is

[tex]A= 4L-L^2[/tex]

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Answer:

the answer is 14.08

Step-by-step explanation:

Answer:

0.049.

Step-by-step explanation:

The number after the 9 is 4 so 9 remains.

Answer:

24 - 3y

Step-by-step explanation:

Since the sum of the two numbers is 8, the larger number is 8 - y.

Three times the larger number: 3 (8 - y).

Simplify using Distributive property: 3 (8 - y) = 24 - 3y.

So the answer is 24 - 3y

Answer:

f(5) = 22

Step-by-step explanation:

When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.

f(x) = 5x - 3

f(5) = 5(5) - 3

5 * 5 = 25

25 - 3 = 22

f(5) = 22

I hope this helps you!

Answer:

Step-by-step explanation:

(6 x 10^5) + (4 x 10^4) + (5 x 10^3) + (3 x 10^2)

Answer:

e(as in variable)=1/7x+2, e(as in euler)=2.388326

Step-by-step explanation:

2.718282

7

+181−179

=2.388326

Answer:

-8.

Step-by-step explanation:

y = 8 - 2x.

x = 8.

y = 8 - 2(8)

= 8 - 16

= -8.

Hope this helps!

Answer:

Step-by-step explanation:

Hello, first we can develop (x+a)(x+b)

[tex](x+a)(x+b)=x(x+b)+a(x+b)=x^2+bx+ax+ab=x^2+(a+b)x+ab[/tex]

We know that this should be equal to

[tex]x^2+x-72[/tex]

So, we can identify the coefficients of the like terms

1 = 1 (terms in [tex]x^2)[/tex]

1 =  a + b (terms in x)

-72 = ab (constant term)

72 is 8 * 9 so, -72=9*(-8)

and we have 9 - 8 =1

so, a = 9 and b = -8

[tex]\Large \boxed{\sf \bf \ x^2+x-72=(x+9)(x-8) \ }[/tex]

Thank you

We are to consider the given expression:

x² + x - 72

The above expression is a quadratic expression and the objective is to determine its roots in form of (x + a) (x + b)

In form of (x + a) (x + b), the values of the expression x² + x - 72 in form of (x + a) (x + b) are 9 and -8 respectively.

From the given expression;

x² + x - 72

So; we will look for two factors of 72 in such a way that if those factors are multiplied together; they will give -72 and the addition of those two numbers will give +1.

So, the factors of 72 are:

From the above factors;

∴

Our factors are:  (-8)  and (9)

From  x² + x - 72, we have:

x² + (-8x) + (9x) - 72 = 0

(x² - 8x) + (9x -72) = 0

Opening the brackets by factorization;

x(x -8) + 9(x -8) = 0

(x + 9) or (x - 8) = 0

(x + 9) (x - 8) = 0

Recall that, we are to replace the values of a and b with the roots derived from the expression x^2 + x - 72.

Therefore, we can conclude that the values of a and b are 9 and -8 respectively.

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Answer:

C, (6, ∞)

Step-by-step explanation:

The x intercept is 6, and it continues downward for infinity. :) I had this question on my assignment today and it was right!

Interval of the domain for which function is negative is equals to ( 6, ∞).

" Function is defined as relation between two variable is such that for all the inputs there is exactly one output."

Standard equation of the line

y = mx + b

b = y-intercept

m = slope

According to the question,

For the given line in graph,

y- intercept = 4

x- intercept = 6

Therefore ,

For the function y = mx + b  we have,

b = 4

y = mx + 4

Substitute the value of x- intercept in the function y = mx +4 we get,

when x = 6 , y= 0

[tex]0 = m(6) + 4\\\\\implies m= \frac{-4}{6}\\ \\\implies m= \frac{-2}{3}[/tex]

Function [tex]y = \frac{-2}{3}x+ 4[/tex]

Interval of the domain is function is  negative.

[tex]y < 0 \\\\\implies \frac{-2}{3}x+ 4 < 0\\\\\implies -2x + 12 < 0\\\\\implies -2x < -12\\\\\implies 2x > 12\\\\\implies x > 6[/tex]

Interval of the domain is function is  negative is ( 6, ∞).

Hence, Option (C) is the correct answer.

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Answer:

12 arrangements with 5 lilies and 3 daisies

Step-by-step explanation:

Answer:

Proportions have not changed significantly ( B )

Step-by-step explanation:

GIVEN DATA :

Test statistic = 4.99

significance level = 1% = 0.01

k ( number of groups ) = 3

will we use the chi-squared test to determine the degree of freedom

which is : k-1 = 3 - 1 = 2

looking at the chi-square table to determine the critical value of the test

at significance level = 0.01 and degree of freedom = 2 the critical value = 9.21

Comparing the test value ( 4.99 ) and the critical value ( 9.21 ) it can seen  that the test value < critical value  which is a condition for not rejecting null hypothesis of the test.

therefore we won't reject the null hypothesis

Step-by-step explanation:

After you find the sums for each set, make a list, counting the number of ways a sum can occur.

You'll notice that for Set A, sums of 5, 6, 7, 8, and 9 all appear 4 times.  So they have equal probabilities.  In Set B, a sum of 7 appears 6 times.  Sums smaller or larger than 7 are less common.

When we look at the data, we see that were more sums of 7 than any other sum.  So this data was probably from Set B.

Answer:

A) $48,720  B) $97,440

Step-by-step explanation:

A)

185 of 4000 = 720

12 months per year

4000 times 12 + 720

48000 + 720 = $48,720

B) 48,720 times 2 = $97,440

*wow she has a bunch of dough*

Answer:

B. ZJ = 85

C. KH = 68

Step-by-step explanation:

Given that ZK, ZL, ZM are perpendicular bisectors of ∆GHJ, they form a circumcenter which is equidistant from the vertices of ∆GHJ. According to the circumcenter theorem, ZH = ZG = ZJ = 85.

Also each median formed is equal. This means: KH = GH, LH = LJ, MG = MJ

Since HG = 136, KH = ½ of 136 = 68.

The two options that are true are:

B. ZJ = 85

C. KH = 68

Answer:y=0 So its A

Step-by-step explanation:3(-y+7)=3(y+5)+6

We move all terms to the left:

3(-y+7)-(3(y+5)+6)=0

We add all the numbers together, and all the variables

3(-1y+7)-(3(y+5)+6)=0

We multiply parentheses

-3y-(3(y+5)+6)+21=0

We calculate terms in parentheses: -(3(y+5)+6), so:

3(y+5)+6

We multiply parentheses

3y+15+6

We add all the numbers together, and all the variables

3y+21

Back to the equation:

-(3y+21)

We get rid of parentheses

-3y-3y-21+21=0

We add all the numbers together, and all the variables

-6y=0

y=0/-6

y=0

Answer:

y = 0

Step-by-step explanation:

Answer:

well basically for the first question it gives you

The rate that increases. which is 0.03 per second

And that R = 48 inches at time.

and T= 0.

The question wants you to determine the volume of the balloon at the time and find the volume when t= 300 seconds. so just replace 0 to 300.

Answer:

We have a circular track that is 1 meter wide, which would mean that the diameter is equal to 1 meter.

First, we want to define this problem as a one dimensional problem. The position 0 is in the doorway, the bedroom is the positive axis, and the hallway is the negative side.

P(t) = R*cos(c*t) + R*sin(c*t).

Where R is the amplitude, in the case of the circular motion, R is equal to the radius.

If the diameter is 1m, the radius is 1m/2 = 0.5m

The equation now is:

P(t) = 0.5m*cos(c*t) + 0.5m*sin(c*t).

We also know that for t = 0s, the train is as far into the bedroom as it can, the maximum position is P = 0.5m

Then  we have:

P(0s) = 0.5m*1 + 0.5*0 = 0.5m

And we also know that the period is t = 2seconds.

The period for the sine and cosine functions is 2*pi, then:

c*2s = 2*pi

c =pi/s

The function now is:

P(t) = 0.5m*cos(t*pi/s) + 0.5m*sin(t*pi/s)

When this function is positive, this means that the train is inside her bedroom, when the function is negative, the train is outside the bedroom, when P(t) = 0, the train is in the doorway.

Answer:

1) [tex]a=\dfrac{F}{m}[/tex]

2) [tex]m=\dfrac{p}{v}[/tex]

Step-by-step explanation:

1) The given equation is

[tex]F=ma[/tex]

We need to solve this for a.

In the given triangle place single variable i.e., F, on the top and variables in the product in the bottom (order of m and a does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

[tex]F=ma[/tex]

[tex]a=\dfrac{F}{m}[/tex]

[tex]m=\dfrac{F}{a}[/tex]

Therefore, the required answer is [tex]a=\dfrac{F}{m}[/tex].

2) The given equation is

[tex]p=mv[/tex]

We need to solve this for m.

In the given triangle place single variable i.e., p, on the top and variables in the product in the bottom (order of m and v does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

[tex]p=mv[/tex]

[tex]m=\dfrac{p}{v}[/tex]

[tex]v=\dfrac{p}{m}[/tex]

Therefore, the required answer is [tex]m=\dfrac{p}{v}[/tex].

Answer:

Step-by-step explanation:

7.05 p.m we can call it as 19.05

and 1.00 p.m means 13.00

so time  from 19.05 to 24.00 is = 24.00-19.05= 4.55 hr

from 24.00 to 13.00 is = 13.00 hr

so total hr is 4.55 + 13.00= 17.55 hr

Answer: 13m

Step-by-step explanation:

Use Pythagorean theorem: a²+b²=c²

5²+12²=c²

25+144=c²

c²=169

c=13 (even if it is true that there are positive and negative solution, but length cannot be negative)

Given:

To Find:

Concept Used:

Answer:

Here given

Here the length of ladder is equal to hypotenuse of ∆ so formed.

Now in a right angled ∆ ,

=> (hypotenuse)² = (pependicular)²+(base)².

=> h ² = (12m)²+(5m)²

=> h² = 144m² + 25m².

=> h² = 169m².

=> h = √169m².

=> h = 13m.

Hence the required answer is 13m.

Answer:

59

Step-by-step explanation:

I think your equation is supposed to look like this:

(7 + 1)² - (11 + 3²)/4

Follow PEMDAS to solve (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

(7 + 1)² - (11 + 9)/4

(8)² - (20)/4

64 - (20)/4

64 - 5

59

Answer:

Pero cuando una magnitud crece y la otra disminuye proporcionalmente, se le llama proporcionalidad Inversa. Dos magnitudes son inversamente proporcionales si al multiplicar (o dividir) una de ellas por un número, la otra queda dividida (o multiplicada) por el mismo número.

Or, But when one magnitude increases and the other decreases proportionally, it is called Inverse proportionality . Two quantities are inversely proportional if when multiplying (or dividing) one of them by a number, the other is divided (or multiplied) by the same number.

Answer:

x  = 24  minutos

Step-by-step explanation:

Llamaremos  "y" el costo fijo mensual y "x" la cantidad de minutos consumidos al mes, según lo cual:

El enunciado del problema establece que la facturación en pesos es igual a un costo fijo  y   más el consumo en minutos del mes, entonces

En Abril    52,50  =  y  +  b*x     ⇒   52,5  =  y  +  69*b

y en Mayo   32   =  y  +  b*x      ⇒   32  =  y  + 28*b

Así obtuvimos un sistema de dos ecuaciones con dos incógnitas, que resolveremos y obtendremos los valores de b y de y

y  =  52,50  -  69*b

32 = ( 52,50  -  69*b ) + 28*b

- 20,50  =  - 41*b

b  =  0,5

y    y  =  52,5  - 69*0,5

y =  18

Entonces la ecuación de facturación es :

F(x) = 18  + 0,5*x

Para pagar como máximo 30 pesos en el mes siguiente

F(x) =  30  =  18 + 0,5*x

30 -  18  =  0,5*x

x  = 24  minutos