2x+5=13


Help me out please

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Answer:

A) 10/11

Step-by-step explanation:

Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.

Answer:

V = 200.96 units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

The radius is  4 and the height is 12

V = 1/3 ( 3.14 ) ( 4)^2 * 12

V = 200.96 units ^3

ANSWER:  200.96 units

Answer:

0.5 ; 0.475 ; 0.689 ; 0.4013

Step-by-step explanation:

Given that:

Rate of production of defective batteries p = 0.05

Number of batteries produced (n) = 10

The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries

Variance of defective batteries :

Var(X) = n * p * q ; q = 1 - p

Hence,

Var(X) = 10 * 0.05 * 0.95 = 0.475

Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689

Probability that atleast 1 battery is defective :

Using the binomial probability function

P(x ≥ 1) = 1 - p(x = 0)

= 1 - q^n

= 1 - 0.95^10

= 1 - 0.59873693923837890625

= 0.40126306076162109375

= 0.4013

Answer:

0

Step-by-step explanation:

Answer:

Width  = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say  it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the  cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500  ------------- eqn (*)            

But the area of the fenced

= A = (x×y)      -------------- eqn  (**)                    

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width  of 166.67 ft and Length = 250 ft.

Answer:

Option 2

Step-by-step explanation:

Number of breakdowns of the photocopiers in year 2011,

A1 = 15

A2 = 21

B1 = 34

B2 = 32

B3 = 23

Option (1)

A1 had just under a half the number of breakdowns compared to photocopier B3.

Half of B3 = 12

And A1 = 15

Therefore, A1 > B3

So the statement is False.

Option (2)

A1 had just under 50% of the breakdowns compared to photocopier B2

50% of the breakdowns of B2 = 16

A1 = 15

So, A1 < 50% of B2

Statement (2) is True.

Option (3)

A1 had more than 25 extra breakdowns compared to B1.

A1= 15

B1 = 34

A1 < B1

Therefore, statement is False.

Option (4)

A1 had 6% less breakdowns than photocopier A2.

A1 = 15

A2 = 21

A2 - A1 = 21 - 15 = 6

Percentage less breakdowns = [tex]\frac{6}{21}\times 100[/tex] = 28.6%

So this Option is False.

Therefore, Option (2) is the correct option.

Answer:

-6

Step-by-step explanation:

Answer:

so 5.7 square root is 2.45 so minus that by 2K and you get 3.4

Step-by-step explanation:

Answer:

75.23=10.27x

Step-by-step explanation:

Around 7 months

Answer:

Step-by-step explanation:

Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2

-7/5x +4/5= x- 4

If x = 2

f(2) = -7/5 (2)+ 4/5

f(2) = -14/5 + 4/5

f(2) = -10/5

f(2) = -2

g(x) = x - 4

g(2) = 2-4

g(2) = -2

Since f(2) = g(2), hence the lines intersects at x = 2

Answer:  abidemiokin is ritgh

Step-by-step explanation:

Answer:

The answer is [tex]125.64[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

4 x 1

Step-by-step explanation:

The matrix shown in the illustration has 4 rows and 1 column, and thus we give the dimensions as 4 x 1.

Answer:

Governor of State B: $120,340; Governor of State A: $169,320

Step-by-step explanation:

For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.

Governor B salary + Governor A salary = $48980

x+x+48980=289660

2x+48980=289660

2x=240680

x=120340

120340+48980=169320

Answer:

$288

Step-by-step explanation:

12% monthly

144% yearly.

100*1.44*2 = all

all = 288

Hope this helps plz hit the crown :D

Answer:

a guess or prediction on how an experiment is going to turn out.

Step-by-step explanation:

Scientists use it a lot

Answer:

Hypothesis means a reasonable guess in science.

Step-by-step explanation:

Scientists first make a hypothesis in order to predict the solution to their experiment. And when they're hypothesis is wrong, they make another hypothesis. So basically, a hypothesis is a "reasonable guess"

Hope this answers your question!

Answer:

An equation is a math sentence that DOES contain an equals sign (=).

The inverse of addition is subtraction.

The inverse of subtraction is addition.

The inverse of multiplication is division.

The inverse of division is multiplication.

Step-by-step explanation:

I'm sorry if I got the first one incorrect.

Answer:

Step-by-step explanation:

 U bot. Nub

Answer:

8.012

Step-by-step explanation:

standard : 8.012

written: eight and twelve thousandths.

Answer:

yeah I Wii help you to your problem

Answer:

ok ques

Step-by-step explanation:

Answer:

54 feet.

Step-by-step explanation:

Consider AB and DF. FD is 3 times the size of AB

So if AC = 7 then DG = 3* 7 = 21

The total Perimeter = 15 + 18 + 21 = 54 feet

Answer:

well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

Answer:6:8

Step-by-step explanation:

Answer:

3 ⅙

Step-by-step explanation:

38 and 12’s common factor would be 2. Now the fraction is 19/6.

How many 6’s can fit into 19? 3. With a remainder of 1 we have:

3 ⅙

Answer:

0.5 gallons per hour

Step-by-step explanation:

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

The required values are in the completed table which has been attached below.

Distance is defined as the product of speed and time.

Since the Cheetah's speed is constant, the speed must be consistent throughout the table.

To calculate the unknown time and distance, use the following formula:

Speed = Distance/Time = c

When distance = 120m, time = 4 secs

Speed = 120/4 = c

Speed = 30m/s = c

We are to get the distance when the time is 25 secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Therefore, the required values are in the completed table which has been attached below.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

Answer:-5.5

Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5

Answer:

-5.5

Step-by-step explanation:

When you do -5 - 1/2, you get -5.5!