On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840

Answer:

hope it is helpful to you

Answer:

k = 1¹/₃

Step-by-step explanation:

Comparing (k-1)x² + kx + 1 with ax + bx + c where α, β be the zeroes of the quadratic equation, then

α + β = -b/a = -k/(k - 1) and αβ = c/a = 1/(k - 1)

Since one of the zeros is -3, β = -3

So,

α + β = -k/(k - 1)

α + (-3) = -k/(k - 1)

α - 3 = -k/(k - 1)  (1)

and

αβ = 1/(k - 1)

-3α = 1/(k - 1)    (2)

From (1), α = 3 - k/(k - 1)  (3)

Substituting equation (3) into (2), we have

-3α = 1/(k - 1)

-3[3 - k/(k - 1)] = 1/(k - 1)

-9 + 3k/(k - 1) = 1/(k - 1)

-9 = 1/(k - 1) - 3k/(k - 1)

-9 = (1 - 3k)/(k - 1)

cross-multiplying, we have

-9(k - 1) = 1 - 3k

expanding the brackets, we have

-9k + 9 = 1 - 3k

collecting like terms, we have

-9k + 3k = 1 - 9

-6k = -8

dividing through by -6, we have

k = -8/-6

k = 4/3

k = 1¹/₃

Answer:39144000

Step-by-step explanation:

Distance = speed x time

7 days = 168 hours

233000 x 168= 39144000

The value of [tex] \:\frac{ - 9 + ( - 11)}{4} + 8\:[/tex] is [tex]3[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{ - 9 + ( - 11)}{4} + 8 \\ \\ = \frac{ - 9 - 11}{4} + 8 \\ \\ = \frac{ - 20}{4} + 8 \\ \\ = - 5 + 8 \\ \\ = 3[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Complete Question

Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

From the question we are told that:

Thought of Number x

Multiplied it by 8

 [tex]x*8=8x[/tex]

Subtracted 4

 [tex]8x-4[/tex]

Divided the result by 2

 [tex]\frac{8x-4}{2}[/tex]

Generally the equation for x is mathematically given by

 [tex]\frac{8x-4}{2}=30[/tex]

 [tex]8x-4=60[/tex]

 [tex]8x=60+4[/tex]

 [tex]x=8[/tex]

Answer:

250

Step-by-step explanation:

create a proportion based on 10 berries to every one orange:

let 'b' = # berries

10/1 = b/25

cross-multiply to get:

b = 10(25)

b = 250

Step-by-step explanation:

3.92 - uwuehehrvgrsiehhehehhe

Answer:

He has $3.92.

Hope this helps!

Answer:

.

Step-by-step explanation:

Answer:

y=mx+c

Step-by-step explanation:

Answer:

the y intercept is 4

and frm that point to another spot on the line you go DOWN one unit (negative)

and two units to positive (to the right)  thus the slope is - 1 (down) and 2 positive to the right

-1/2 = slope

y = -1/2 + 4

Step-by-step explanation:

Answer: x = -1, -7

Step-by-step explanation:

I used internet

Answer:

x = -1   or   x = -7

Step-by-step explanation:

x^2 + 8x + 7 = 0

x^2 + 8x + ____ = -7 + ____

To complete the square, we add the square of half of the x-term coefficient to both sides.

x-term coefficient: 8

half of it: 4

square it: 4^2 = 16

We add 16 to both sides.

x^2 + 8x + 16 = -7 + 16

(x + 4)^2 = 9

x + 4 = +/- sqrt(9)

x + 4 = 3   or   x + 4 = -3

x = -1   or   x = -7

Answer:

Area of circle bounded by a 135 ° arc is 4.71 m ²

Step-by-step explanation:

Radius of circle, r = 2 m

Angle of the circle , θ = 135 °

Area of circle bounded by a 135 ° arc.

Using Formula

Area of circle = θ/ 360 × π × r ²

substitute the values,

Area of circle = 135 /360 × 3.14 × ( 2 m) ²

solve it

Area = 27 / 72 × 3.14 × 4 m ²

Area = 27 / 18 × 3.14

Area = 1.5 × 3.14

Area = 4.71 m ²

Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²

Answer:

it's 3/2pi

Step-by-step explanation:

.

Answer:

yes

Step-by-step explanation:

Add all the distances ran last week

7.75

+

5km

+

0.75 (1000m = 1km) 750 / 1000 = 0.75km

+ 6.5

= 20 km

Answer:

[tex]25 = 43[/tex]

Step-by-step explanation:

[tex]25 = 46 - 3[/tex]

[tex]25 = 43[/tex]

Answer:

[tex]4x^4y^2\sqrt[3]{x^2y^2}[/tex]

Step-by-step explanation:

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex].

Therefore, we have:

[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}[/tex]

Use the exponent property [tex](a^b)^c=a^{(b\cdot c)}[/tex] to simplify:

[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}=\sqrt[3]{64x^{14}y^8}=\boxed{4x^4y^2\sqrt[3]{x^2y^2}}[/tex]

Answer:

A and C

Step-by-step explanation:

Only A and C represent a 65% increase

Answer:

Center (3, -8), radius = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

The Standard Form for the equation of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is the point (h, k) and the radius is r.

Match up the given equation with the standard form.

[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]

That last bit can be tricky, k = -8, not 8.  Watch the signs!

Answer:

area of the figure=length×width

=6(X+6)

=6x+36 sq feet

answer is the second option

Answer:

B is the answer. This gives us the equation 6(x+6), where we multiply 6 by both values inside the equation. 6x + 36 is the answer. Happy learning!

Happy learning!

--Applepi101

Answer:

8^35

you multiply exponents of exponents meaning we multiply 7*5 which is 35

Step-by-step explanation:

Answer:

is the name of your school alpha omega, because i recogize the bottom of the page

Step-by-step explanation:

Answer:

A) 20+3m = 5m

Step-by-step explanation:

20+3m = 5m

20 = 2m

m = 10

after each girl has walked dogs for 10 miles, their amount they charge would be equal

Tonya would charge: 20+3(10) = 20+30 or $50

Beth would charge: 5(10) or $50

Answer:

B.    m = [tex]\frac{3}{2}[/tex], y-int = 3

Step-by-step explanation:

To find the slope of the line, we need to plot two points

(2, 6) (-2, 0)

m = slope

Then use the Slope-Formula to Solve for the slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]        

m = [tex]\frac{0-6}{-2-2}[/tex]

m = [tex]\frac{-6}{-4}[/tex]

m = [tex]\frac{6}{4}[/tex]

m = [tex]\frac{3}{2}[/tex]

The Slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 3 because the line is going 3 units upwards on y axis!

Equation: y = 3/2x + 3

Slope: 3/2

y-intercept: 3

Answer:

m = 3/2      int- 3

Step-by-step explanation:

The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

[tex]2x+29=9x-13[/tex]

[tex]2x-9x=-29-13[/tex]

[tex]-7x=-42[/tex]

Divide both sides by -7.

[tex]x=\dfrac{-42}{-7}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

Answer:

270

Step-by-step explanation:

24 times 30, divided by 2 (360)

then subtract 12 times 15 divided by 2 (90)

Answer:

I.       C. Both A and B

II.      D. All of the options

III.     B. Help in making people a valuable resource

Answer:

Neither of the graphs represent f(x)= |x|-4

Step-by-step explanation:

when solving for 0

|0| = 0

0 - 4

= -4

the coordinate at 0 would be (0,-4)

Answer:

5 years

Step-by-step explanation:

Use the simple interest formula: I = prt

Plug in 500 as I, since that is the amount of interest being earned.

Plug in 2,500 as P and 1.04 as r.

I = prt

500 = (2,500)(0.04)t

500 = 100t

5 = t

So, it will take 5 years to earn $500 on the deposit.

Step-by-step explanation:

$ 28.50

minus $ 0.00

FINAL Price » $ 28.50

Note: Sales Tax Not Included

Savings » $ 9.50

Effective % Off » 25%

Answer:

$28.5

Step-by-step explanation:

100% - 25% = 75% (so you don't have to add or subtract anything)

38 * .75 = 28.5

=$28.5

Answer:

The number is -1.

Step-by-step explanation:

Set up an equation:

Variable n = number

8 × n + 4 = -4

Use PEMDAS

8n + 4 = -4

Isolate the variable:

8n = -8

n = -1

Check your work:

8 × -1 + 4 = -4

-8 + 4 = -4

-4 = -4

Correct!

Answer:

-1

Step-by-step explanation:

Write out the equation in numbers.

1. Eight times a number = 8x

2. Added to four = +4

3. Is -4 = =-4

4. Now put it together- 8x + 4 = -4

5. Subtract 4 from each side- 8x = -8

6. Divide both sides by 8- x = -1

Answer:

WXZ = 123

XZW = 28.5

XWZ = 28.5

Step-by-step explanation: