Cos15°°- Sin 15°= 1/√2​

Answer:

[tex]P(Y=0) = 0.1353[/tex]

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean [tex]\=x = 5 miles[/tex]

Distance [tex]d=10miles[/tex]

Generally the equation for Exponential distribution is mathematically given by

 [tex]\lambda=\frac{1}{E(X)}[/tex]

 [tex]\lambda=\frac{1}{5}[/tex]

Therefore

Possion Y

 [tex]10\lambda=10*(1/5)[/tex]

 [tex]10\lambda=2[/tex]

Generally the equation for  The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

 [tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]

 [tex]P(Y=0) = e-2[/tex]

 [tex]P(Y=0) = 0.1353[/tex]

Answer:

Step-by-step explanation:

A y = -3.6x + 12.8

The line of best fit is,

⇒ y = - 3.6x + 12.8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Given that;

⇒ y = ax + b.

And, the best fitting line has values of a = - 3.6 and b = 12.8.

Hence, All you need do is put that into the general equation and try different values for it.

So you have y = - 3.6 x + 12.8

Now Let's run a couple of numbers.

The table shows 1 and 9 for the first entry. This means when x = 1, y should come pretty close to nine.

y = - 3.6(1) + 12.8

y = 9.2

Which is not a bad result for x = 1

You might want to check to see if anything else comes closer in your choices. If it does, then you have to try other points.

C

-0.998 = -3.6(1) + 12.8

This answer cannot work. We've already shown that x =1 will leave us close to 9  not -998

So, C is incorrect.

B

y = 12.8x - 3.6

Let x = 1

y = 12.8(1) - 3.6

y = 9.2 is right by coincidence. We must try another value. The hardest one is going to be 5 and - 5

y= 12.8*5 - 3.6

y = 64 - 3.6 which is no where's near - 5.

So B is wrong.

A

y = -0.998(1) + 12.8 Does this give 9 or anywhere near it? 11.802 You might argue that that is not a bad result. So let's try another pair.

x = 3. y should come to somewhere near 2.

y = -0.998 * 3 + 12.8 which comes to roughly nine. You can check this out.

It is not close enough to 2 to be acceptable.

Thus, The correct option is,

⇒ y = - 3.6x + 12.8

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

D. 10, 8, 6, 4, 2, ...

Step-by-step explanation:

f(n + 1) = f(n) - 2

This means that each term is the previous term subtracted by 2,

f(1) = 10

This means that the first term of the sequence is 10.

Thus, the sequence is:

10, 8, 6, 4, 2, ...

Thus the correct answer is given by option D.

false

Step-by-step explanation:

ita really false yoooooooooooooo

Step-by-step explanation:

10075 .+#!!#+#!$!$++$7$+"$($(

Answer:

the scale factor is

-2 and

-4

Answer:

LHS×0=RHS×0

0=0

hence,proved

I don't know what your looking for, so be more specific, but I'm assuming your solving for x, so that's would be

x = -1

Answer:

We can simply solve all of these by simplifying them :)

1 . 13 - 4x = 1 - x =

x = 4

2 .  7a - 3 = 3 + 6a =

a = 6

3 . 5 + 2x = -2x + 6 =

x = 1/4

4 . -11 + x = 7x - 5 =

x = -1

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test  * % share of total grade + score of second major test  * % share of total grade + Score of the final exam  * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7

Answer:

a) z(s)  is in the rejection region for H₀  we reject H₀.

We have enough support to conclude that the two populations are different  

z(s) is in the rejection region so we reject H₀

The two population have a different proportion of non-contaminated food

Step-by-step explanation:

Conditions:

-Independent samples

-Random samples

- Size samples big enough

a) A Brand Chickens Sample:

sample size   n₁  = 80

We will go through a z- test

number of contamination cases  x₁  =  31

Then   p₁  =  31/80     p₁  =  0.3875    and  q₁  =  1 - p₁  ; q₁ = 1 - 0.3875

q₁  =  0.6125

B Brand Chickens Sample:

sample size   n₂  =  80

number of contamination cases  x₂  =  61

Then  p₂ = 61/80   p₂ = 0.7625  and  q₂ =  1  -  p₂ ;   q₂  =  1  -  0.7625

q₂  =  0.2375

Hypothesis Test:

Null Hypothesis                                  H₀     p₂ =  p₁

Alternative Hypothesis                      Hₐ     p₂ ≠ p₁

The alternative hypothesis call for a two-tail test ( ≠ ) we will test if the proportion differs )

A significance level  α =  0.01   then    α/2 = 0.005

From z -Table     α/2  =  0.005  correspond to z(c) =  2.575

To calculate z(s)

z(s)  =   ( p₂  -  p₁ ) / √( p₁*q₁/n₁) + (p₂*q₂)/n₂)

z(s)  = (  0.7625  -  0.3875 ) / √(0,3875*0.6125)/80 + (0.7625*0.2375)/80

z(s)  = ( 0.375 ) / √(0.00296) + (0.00226)

z(s)  = ( 0.375 ) /0.072

z(s)  =  5.21

Comparing    z(s)   and   z(c)    z(s) > z(c)

z(s)  is in the rejection region for H₀  we reject H₀.

We have enough support to conclude that the two populations are different

b) folowing the same procedure now talking about non-contaminated chickens

Tyson  Brand Chickens  p₁ =  0,5   then  q₁ = 0.5

Perdue Brand chickens  p₂ = 0.25 then  q₂ = 0.75

n₁ = n₂ = 80

Hypothesis Test:

Null Hypothesis                        H₀            p₁  = p₂

Alternative Hypothesis            Hₐ            p₁ ≠ p₂

Alternative hypothesis indicates a two-tail test

z(c)  =  2.575

And z(s)  =  (0.5 - 0.25)/ √(0.5*0.5)/80  + (0.25*0.75)/80

z(s) = 0.25 / √( 0.003125 + 0.002343

z(s) = 0.25 / 0.0739

z(s) = 3.38

Comparing z(s)  and z(c)

z(s) >  z(c)  

z(s) is in the rejection region so we reject H₀

The two population have different proportion of non-contaminated food

Answer:

osjdiajsjoasnndosnsnd

Answer:

First equation has extra 6s and this extra 6s=54-42=12

6s=12. s=2

Step-by-step explanation:

6*2+10t=42 ........ 10t=30 t=3

Answer:

s = 2 and t = 3

Step-by-step explanation:

Assuming you were suppose to type s instead of a,

12s + 10t = 54 -- (1)

6s + 10t = 42 -- (2)

(1) - (2) : 6s = 12

               s = 2 -- (3)

Substituting (3) into (2),

12 + 10t = 42

10t = 30

t = 3 -- (4)

Therefore, s = 2 and t = 3

If this helps you, please mark brainliest!

Have a nice day!

Answer:

exclude any real numbers that result in a negative number in the said radical. set your radical greater than or equal to zero and solve for x.

Answer:

(f+g)(x) = x - 7

Step-by-step explanation:

it is simple - when adding 2 functions your simply add both expressions. and the result is then the function of the sum.

the same applies also to other arithmetic operations.

-3x -5 + 4x - 2 = x - 7

Answer:

11

Step-by-step explanation:

(a+b)^2=a^2+b^2+2ab

a^2+b^2=(a+b)^2-2ab

=5^2-14

=11

Answer:

43.5 % decrease

Step-by-step explanation:

Take the original price and subtract the new price

850-480

370

Divide by the original price

370/850

.435294118

Change to percent form by multiplying by 100

43.5294118 % decrease

43.5 % decrease

Answer:

10 miles

Step-by-step explanation:

10 miles= 16093.44km

44880ft=13.679424km

15560yards= 14.228064

Answer:

2

Step-by-step explanation:

2 is the answer because the circle touches the line only 2 times.

Hope this helps.

Answer:

Slope = 3

intercept = 2

y = 3x + 2

angle y = 70

angle x = 110

Step-by-step explanation:

Step-by-step explanation:

3 29/31 + 9 13/14 * 26 6/7 =0

first 26 6/7 = 26 13/14

3 29/31 +( 26 13/14 * 9 13/14)

3 29/31 + 266 32/49

Answer :

270 894/1519 / 270.5585 / 411024/1519

Answer:

Marina had 50$ originally

Step-by-step explanation:

80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate

Answer:

$100

Step-by-step explanation:

Step 1, setting up an equation:

If Marina spent [tex]\frac{1}{5}[/tex] of her money, she has [tex]\frac{4}{5}[/tex] of her money remaining. We also are given that she has $80 left. We can set her initial total amount of money as x to solve this problem:

[tex]\frac{4}{5}x=80[/tex]

Step 2, solving for x:

[tex]\frac{4}{5}x=80\\\\4x=400\\\\x=100[/tex]

We have set x as her original amount of money, so we have the answer!

Marina originally had  [tex]\fbox{100}[/tex] dollars.

I hope this helps! Let me know if you have any questions :)

Answer:

x+120°+20°=180°[ sum of interior angle of triangle]

x+140°=180°

x=40°

then,

x+y= 180°[being straight line]

40°+y= 180°

y=140°

Answer:

x = 8

y = 6

Step-by-step explanation:

Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.

Therefore,

LP = PN

x = y + 2 (eqn. 1)

PM = KP

2x - 8 = y + 10 (eqn. 2)

Substitute x = y + 2 into eqn. 2 to find y

Thus:

2(y + 2) = y + 10

2y + 4 = y + 10

Take like terms

2y - y = -4 + 10

y = 6

Substitute y = 6 into eqn. 1 to find x:

x = y + 2 (eqn. 1)

x = 6 + 2

x = 8

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}[/tex]

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

[tex] ={25x}^{2} - 36 {y}^{2} [/tex]

[tex] = ({5 \times 5)x}^{2} - (6 \times 6){y}^{2} [/tex]

[tex] = ({5x})^{2} -( {6y})^{2} [/tex]

[tex] = (5x + 6y)(5x - 6y)[/tex]

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

D. [tex]4^{15}[/tex]

Step-by-step explanation:

[tex]=(4^3)^5[/tex]

Multiply the exponent inside the parenthesis with the exponent outside.

[tex]=4^{15}[/tex]

Hope this helps.

Answer:

4^15

Step-by-step explanation:

Ok, so lets replace the base, 4, with x so we don’t get confused by it:

(X^3)^5

When we raise a power to a power, we multiply them , so:

(X^15)

Remember x is 4, so:

4^15 is the answer

Answer:

a

Step-by-step explanation:

because the diagram the length decimal place degree

Answer:yes it is

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

x = 1 and y = 9 so 3x1 + 9 = 12 as 3 x 1 is 3 and adding 9 to it will give 12

Answer:

The equation of the line is, "y = 5/3x."

Step-by-step explanation:

Here are the pictures of the graph and points attached: