need help please full question in image

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

Answer:

6x+25

Step-by-step explanation:

6(x+4)+1 =

Distribute

6x+24+1

Combine like terms

6x+25

Answer:

C

Step-by-step explanation:

use midpoint formula

midpt = ((2 + (- 3))/2 , (3 + (- 2))/2) = (-0.5, 0.5)

Answer:

the answer is d

Step-by-step explanation:

edenuity2020. also I just did it

Answer:

y=5/3x-3.4

Step-by-step explanation:

slope is 5/3

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , "m" is the slope

3x - 5y = 17

- 5y = - 3x + 17

y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{17}{5}[/tex]  

m = [tex]\frac{3}{5}[/tex]

Answer:

False

Step-by-step explanation:

Add 5 to isolate varible to get 2x=18. Dived by 2 to get x=9.

Answer:

79

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

150 is the answer of 2/5 divided by 6

Step-by-step explanation:

Answer:

The initial value is $78

Step-by-step explanation:

Given

[tex]Base\ Amount = \$78[/tex]

[tex]Additional = \$30[/tex] (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

[tex]Balance = Base\ Amount + Additional * number\ of weeks[/tex]

Represent number of weeks with x; So, we have:

[tex]Balance = 78 + 30 * x[/tex]

[tex]Balance = 78 + 30 x[/tex]

Answer:

$5 More

Step-by-step explanation:

$26 - $19 = $5

Answer:

She paid $7 more

It is 3 73/99

I just used a fraction calculator lol

Answer:

It is 3 73/99

Answer:

D or answer 4                   y=-5/2x+7

Step-by-step explanation:

Well we can first start of by finding the y-intercept.

Note that when x=0, you can find your y-intercept.

Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.

So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.

Please know that in the equation:

y = mx + b

y = y-coordinate or any given point

mx = slope

b = y-intercept

Now we must find slope

To find the slope we need to do:

(y2 - y1) / (x2 - x1) or rise/run

The two coordinates I choose to use is (0, 7) and (6, -8).

(-8 - 7) / (6 - 0) = -5/2

-5/2 is the slope

Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.

Answer: D or answer 4

Answer:

Step-by-step explanation:

In a rectangle,  diagonals are equal and bisect each other

BE  =   AE

6x - 5 = 2x +  7

6x - 2x - 5 = 7

       4x - 5 = 7

             4x = 7 + 5

             4x = 12

               x = 12/4

               x = 3

AE = 2x + 7

     = 2*3 + 7

    = 6 + 7

AE =  13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

          m∠ABE = 90 - 50

          m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE   { alternate interior angles}

m∠ECD = 40

Answer:

10/9 +  [tex]\frac{1}{3} \sqrt{10}[/tex] i

Step-by-step explanation:

([tex]\frac{1}{3} \sqrt{5}[/tex] - [tex]\frac{1}{2} \sqrt{2}[/tex]i) ² =

([tex]\frac{1}{3} \sqrt{5}[/tex] )² + 2([tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\frac{1}{2} \sqrt{2}[/tex])i - ([tex]\frac{1}{3} \sqrt{5}[/tex]i) ² =

5/9 + [tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\sqrt{2}[/tex] i - (5/9. (-1)) =

10/9 +  [tex]\frac{1}{3} \sqrt{10}[/tex] i  

Answer:

41.48/year

Step-by-step explanation:

4.95 x 12 = 59.40

59.40 × .30 = 17.82

59.40 - 17.82 = 41.48

Answer:

None of the above

Step-by-step explanation:

15/45=1/3

Answer:

None of those options lol

Step-by-step explanation:

But the answer is 1/3

Answer:

Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes then Equal ratios = 21/6 = 7/2 = 14/4. Step-by-step explanation: Complete Question is : Complete the table using equivalent ratios.

Step-by-step explanation:

Answer:

y = (1/4)x + 5/2

Step-by-step explanation:

The lines slope needs to be opposite of the equation's so its positive (1/4)

This is the only slope listed that is that number so no need to calculate for the y value!

Answer: The required three consecutive odd integers are 7, 9 , 11.

Step-by-step explanation:

Let x , x+2 , x+4 be the three consecutive odd integers.

As per given ,  

10(x) = 59+x+4

⇒10x= 59+x+4

⇒ 9x= 63

⇒ x= 7   [ divide both sides by 7]

Hence, the required three consecutive odd integers are 7, 9 , 11.

Answer:

δw/δr = 4π

δw/δθ = -8π

Step-by-step explanation:

Given the following functions

w = xy + yz + zx, x = r cosθ y = r sinθ, z = rθ where r = 4 and θ = π/2

We are to find δw/δr and δw/δθ

δw/δr = δw/δx•δx/δr + δw/δy•δy/δr + δw/δz•δz/δr

δw/δx = y+z

δx/δr = cosθ

δw/δy = x+z

δy/δr = sinθ

δw/δz = y+x

δz/δr = θ

Substitute the given values into the formula

δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ

Substitute the value of x, y and z in terms of theta into the resulting function

δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ

δw/δr = (rsinθ+rθ)cosθ+(rcosθ+rθ)sinθ+(rsinθ+rcosθ)θ

Substitute r = 4 and θ = π/2

δw/δr = (4sinπ/2+4π/2)cosπ/2+(4cosπ/2+4π/2)sinπ/2+(4sinπ/2+4cosπ/2)π/2

Note that cos π/2 = 0 and sinπ/2 = 1

δw/δr = (4+2π)(0)+(0+2π)(1)+(4(1)+4(0))π/2

δw/δr = 0+2π+4π/2

δw/δr = 2π+2π

δw/δr = 4π

For δw/δθ

δw/δθ = δw/δx•δx/δθ + δw/δy•δy/δθ + δw/δz•δz/δθ

δw/δx = y+z

δx/δθ = -rsinθ

δw/δy = x+z

δy/δθ =rcosθ

δw/δz = y+x

δz/δθ = r

Substitute the given values into the formula

δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r

Substitute the value of x, y and z in terms of theta into the resulting function

δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r

δw/δθ = (rsinθ+rθ)-rsinθ+(rcosθ+rθ)rcosθ+(rsinθ+rcosθ)r

Substitute r = 4 and θ = π/2

δw/δθ = (4sinπ/2+4π/2)-4sinπ/2+(4cosπ/2+4π/2)4cosπ/2+(4sinπ/2+4cosπ/2)(4)

Note that cos π/2 = 0 and sinπ/2 = 1

δw/δθ = (4+2π)(-4)+(0+2π)(0)+(4(1)+4(0))(4)

δw/δθ = -16-8π+0+4(4)

δw/δθ = -16+16-8π

δw/δθ = -8π