Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

Step(i):-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

                                   [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]

Second sample proportion

                               [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis :  p₁⁻ ≠ p₂⁻

Step(ii):-

Test statistic

         [tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

        where

                   [tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]

              [tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]

             Q = 1 - P = 1 - 0.2612 = 0.7387

             [tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]

           Z  =    1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Answer: C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

$65×6%=$3.90

$3.90+$65=$68.90

m I right

Answer:

service level is 90.78% ( it falls on cumulative probability of  1.00 or 100%)

Therefore the quantity of spares that should be ordered is 3

Step-by-step explanation:

Given that;

spares cost =  $179 each

salvage value = $49 each

distribution of the probability of usage;

Number      Probability        cumulative Probability

0                   0.05                       0.05

1                    0.60                       0.65

2                   0.20                       0.85

3                   0.15                        1.00

Now

the cost of stock-out (underestimation) Cu

= $640 per day × 2 days = $1,280

the cost of excess inventory (overestimation) Co

= Unit cost - salvage value = $179 - $49 = $130

Therefore Service Level = Cu / ( Cu + Co )

we substitute

Service Level = $1,280 / ( $1,280 + $130 )

= $1,280 / $1410

= 0.9078 or 90.78%

so service level is 90.78% ( it falls on cumulative probability of  1.00 0r 100%)

Therefore the quantity of spares that should be ordered is 3

Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at  an elevation of −10.5 feet

The second story floor has an  elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

Answer:

=-22

Step-by-step explanation:

first you fix the x and y into the eqution.

5(-2)-4(3)

Mulitiply and divide (left to right)

5(-2)=-10

mulitply and divide (left to right)

4(3)=12

so the would make the problem look like this

-10-12

add and subtract (left to right)

-10-12=-22

Answer:

12

Step-by-step explanation:

Egde 2020

To solve this question, we have to use SSS theorem on a triangle and subsequently solve for the value of x which is equal to 12cm

Data;

Using similar angle triangle rule SSS, we can find the value of x in this question

[tex]\frac{8}{x} = \frac{12}{18}[/tex]

Let's cross multiply and solve for x

[tex]\frac{8}{x} = \frac{12}{18} \\x = \frac{8*18}{12} \\x = 12cm[/tex]

The value of x in the equation is equal to 12cm.

Learn  more on sss theorem on a triangle here;

https://brainly.com/question/20295863

From  second equation :

2x - y + 2z = 3

z = (3 + y - 2x)/2

Putting value of z in equation 1 and 3, we get :

x + 2y - 4( 3 + y - 2x )/2 = 4

x + 2y - 2( 3 + y - 2x ) = 4

x + 2y - 6 -2y +4x = 4

5x = 10

x = 2

Putting value of x in third equation, we get :

8z = 3( 2 ) + 2

z = 1

Putting value of x and z in equation 2, we get :

y = 2( x+z) - 3

y = 2( 1 + 2) - 3

y = 3

Therefore, the answer as an ordered triple is ( 2, 1, 3 ).

Answer:

-0.9

Step-by-step explanation:

-1.7 - (-0.8)

= -1.7 + 0.8

= -0.9

Answer:

25l+20d=x and x ≤ 2000 needs to be part of the system.

Step-by-step explanation:

Given that:

Amount charged per lawn = $25

Number of lawns = l

Amount charged per driveway = $20

Number of driveways = d

Amount saved by Jamison = x

[tex]25l+20d=x[/tex]

Amount given by parents = upto $2000

It means the parents will not give more money than $2000, therefore, we will use less than equal to inequality

x ≤ 2000

Hence,

25l+20d=x and x ≤ 2000 needs to be part of the system.

Answer: D is 0.93

Step-by-step explanation:

(3/4 x 1/8 = 0.93 ) We are looking for 0.93.

4/3 x 1/8 = 0. 16

4/3 × 8 = 10.6

3/4 × 1/8 0.93

Understanding:

The total number of students is 40. 8.20% of them were absent, which means the rest were present, or in other words, (100-8.20)% were present or 91.8%. We can find the actual number of present students by multiplying the percentage of present students by the total number of students.

Solution:

Present Percentage = 91.8% or [tex]\frac{91.8}{100}[/tex]

Present Students = [tex](\frac{91.8}{100})(40)=36.72[/tex], since we are dealing with people we have to round it, so the present students are actually 37.

Answer: 1. Well, for one they both have a 'radicand' and you can arrange both of them in a fraction form.

2. Graph is increasing, there's an asymptotic value, the domain is all real numbers, the range is y > 0. If you add a constant, you are shifting it vertically, which means it's y-intercept will change by the magnitude of the constant.

3. Linear functions are a straight line with one definite slope. Exponential functions are basically curves with their slopes, not constantly, but changing. As you increase your x-values, the linear functions lacks behind, and the exponential one becomes very large.

4. I really don't know how to explain this, it's kind of confusing.

5. You can use the slope formula: (y2-y1)/(x2-x1). Plug in values, you get:

(12-8)/(4-2). This can be simplified to 4/2 or just 2. That's his average rate of change: 2 balls per day.

6. An arithmetic sequence adds on a specific value every time. For example: {1, 3, 5, 7...}

A Geometric sequence increases every time by a common ratio. For example: {2, 6, 18, 54...}

6. If it's relative to time, then you have a parametric equation dealing with time. Just like that, you can see that 1 variable changes with respect to the other, and that implies parametricity.

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]

Step-by-step explanation:

The denominator of the fractional exponent becomes the index of the root. The exponent numerator is left as the power of the base. The exponent can be inside or outside the radical.

  [tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]

Answer:

Step-by-step explanation:

if Lisa Read

45pages/8minutes she will read 36 pages/? minutes

45/8=5.62 pages/minute

36/5.62=6.4 minutes

roughly 6 minutes

Answer:

a. 6276

b. 5590

c. 23128

d. 17325

e. 15090

f. 40419

g. 10496

h. 15000

i. 15648

99% sure

Step-by-step explanation:

x+y=17 (First equation)

x-y=3 (Second equation)

Solving Equation (i)

x+y=17

x=17-y(First equation)

Putting value of x in equation (ii)

x-y=3

x=3+y

17-y=3+y

17=3+y+y

17=3+2y

2y=17-3

y=14/2

y=7

Putting value of y in equation(i)

x=17-y

x=17-7

x=10

Answer:

1. 400 ÷ 4 = 100

2. 320 ÷ 4 = 80

3. 360 ÷ 9 = 40

4. 5000 ÷ 5 = 1000

5. 3000 ÷ 5 = 600

Answer:

1:100

2:80

3:40

4:1000

5:600

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

[tex]x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20} \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}[/tex]

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

Answer:

D

Step-by-step explanation:

Answer:

16.65$

Step-by-step explanation:

Answer:

16.65

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

its below the negative mark and its not verticle so it can't be undefined

Answer:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of

[tex]f(x) = 3 {x}^{2} [/tex]

function g has to be the transformation of function f. Therefore,

[tex]g(x) = 3 {(x - 6)}^{2} + 5[/tex]

is the answer.

Answer:

i think its c i could be wrong but just go with your gut felling

Step-by-step explanation:

Answer:

6 8 8 8 89 9 8 8 66 4 4 4 57 8c8 7 54

Answer: 123456789

Step-by-step explanation:

We need to write a 9-digit number using the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9.

(where we can use each digit only one time)

We want the value of this 9-digit to be the smallest as possible, then:

The largest single value digit (9), needs to be in the smallest value place (in the units place)

The second larger digit (8), must be in the second smallest value place (in the tens)

And so on, then the 9-digit number will be something like:

123456789

Any other permutation will be larger than this number.

9514 1404 393

Answer:

  ? = 9

Step-by-step explanation:

The segments of each of the transversals are proportional. On the left side, the bottom transversal segment will be 10 -6 = 4 units in length.

Now we can write a proportion relating right-side transversal segments to left-side transversal segments:

  ?/6 = 6/4

  ? = 6(6/4) = 36/4 = 9

The missing length is 9 units.

Answer: 4

Step-by-step explanation:

19 - 3 = 16

16/4 = 4

Answer: 4 apples

Step-by-step explanation:

19 - 3 = 16.

16 ÷ 4 = 4.

She will put 4 apples into each bag.

Answer:

$0.21 per ounce (rounded to nearest cent)  

Step-by-step explanation:

8 ounces --- $1.69

1 ounce --- [tex]\frac{1}{8}[/tex] × $1.69 = $0.21 (rounded to nearest cent)

Question:

What is the Unit Price per ounce?​

Answer:

If 8 ounces cost $1.69, then 1 ounce costs $1.69/8 = $0.21125, which is 21.125 cents, which rounds to 21.1 cents (because 2 is less than 5)