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BRAINLIST

Solution :

Mean time for an automobile to run a 5000 mile check and service = 1.4 hours

Standard deviation = 0.7 hours

Maximum average service time = 1.6 hours for one automobile

The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]

                                           = 2.02

Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.

Answer:

(-2,-3)

Step-by-step explanation:

Answer:

B. x = 0.14

Step-by-step explanation:

Inx = -2

x = e^(-2)

x = 0.135

x = 0.14 (to two d.p)

The solution of the equation ln x =-2 is 0.14

The correct option is (D)

Logarithms are the inverse of exponents.

Given that:

ln x =-2

Shifting the log on the right side, it will become exponential

x = [tex]e^{-2}[/tex]

x = 0.135

x = 0.14 (two decimal places)

Learn more about logarithm here:

https://brainly.com/question/20785664

#SPJ2

First get the average passing yards:

(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4

Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,

(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2

For the others, you should get squared residuals of

6,658.56

1,797.76

3,069.16

14,018.6

Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:

(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3

The standard deviation is just the square root of the variance:

√(10,915.3) ≈ 104.48

Answer:

the answer is 3697.4

Step-by-step explanation:

I used a calculator

Answer:

look at the picture i sent......

Answer:

$168

Step-by-step explanation:

Divide $56 by $2

$56 ÷ $2 = 28

Thus $2 was donated 28 times

He donated $2 every time $6 was spent, then

money spent = 28 × $6 = $168

Answer:

$168

Step-by-step explanation:

We have the following ratio

Spent at shop : donated to charity

6:2

we know that

x:56

To solve this we just mulitply 6 by 28 (28 because this is what we mulitplied the two in our original ratio to reach 56)

6*28=168

Answer:

AB = 16

Step-by-step explanation:

The radius of the circle = 10

From the center of the circle to B = 10 (radius)

Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.

Thus:

EB² = 10² - 6²

EB² = 100 - 36

EB² = 64

EB = √64

EB = 8

EB = AE = 8

therefore,

AB = AE + EB = 8 + 8

AB = 16

Answer:ab=16

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Step-by-step explanation:

given:20%

solution,

20%

=20/100

=2/10

=1/5

Answer:

7.039

Step-by-step explanation:

7 + 3/100 + 9/1000

7 + 0.03 + 0.009

7.039

Answer:

7.039

Step-by-step explanation:

7 = 7

3/100 = .03

9/1000 = .009

therefore

7 + 3/100 + 9/1000 = 7 + .03 + .009

7.039

Answer: c six less than twice is the same as two times a number minus six

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

"Twice a number" means a variable/mystery number times 2; aka 2x.

"Six less than" means minus/subtract six.

So, therefore it's 2x - 6.

Answer:

54 (also include units squared as the picture isn't clear)

Step-by-step explanation:

3×3=9 (area of square =l×b)

9×6= 54cm² (since a cube has 6 faces)

Answer:

0.04 and 0.5

Step-by-step explanation:

Answer:

1. 0.04

2. 0.5

Step-by-step explanation:

The positive choice will be greater.

Answer:

w=19/15

Step-by-step explanation:

11/15 = w - 8/15  |*15

11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15

Answer:

15.1976 mm²

Step-by-step explanation:

A = πr²

A = 3.14 · 2.2²

A = 15.1976

Answer:

1/8

Step-by-step explanation:

5/8 * 1/5 = 1/8 or .125

[tex] 2,- \frac{1}{3} [/tex]

Answer:

( x-2) ( 3x+1)

3x^2 + x - 6x - 2

x( 3x + 1 ) -2( 3x + 1 )

( 3x + 1 ) ( x - 2 )

either

3x + 1 = 0

3x = -1

x = -1/3

or

x - 2 = 0

x = 2

( -1/3 , 2 )

Answer:

B

Step-by-step explanation:

You can read this as "find g of f of 2"

Also written as g(f(2)).

What we're doing is is looking at the function f and getting the value when you input 2. f(2)

Since the function f is the curved one, you will find the coordinate where the input is 2. At input 2 or x=2, we get the value of 0.

Now back to g(f(2)) -- Because we have found the value of f when it is 2, we can replace this equation with:

g(0)

Now we find the value we get from g when we put 0 as the input. When 0 is our input, or when our x is 0, we see the point of g is (0,2) so our output is 2.

Answer:

D. (4,3)

Step-by-step explanation:

I calculated it logically

Answer:

424

Step-by-step explanation:

just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer

Answer:

C. x = 6

Step-by-step explanation:

2*6 + 4 = 16

Answer:

238 times

Step-by-step explanation:

Given

[tex]a = 175[/tex] -- first week

[tex]r = 16.5\%[/tex]--- growth per week

[tex]t = 2[/tex] --- time

Required

The number of times it was downloaded in 2 weeks

An exponential growth is represented as:

[tex]y = a(1 + r)^t[/tex]

So, we have:

[tex]y = 175 * (1 + 16.5\%)^2[/tex]

[tex]y = 175 * (1.165)^2[/tex]

[tex]y = 175 * 1.357225[/tex]

[tex]y = 237.514375[/tex]

[tex]y = 238[/tex] -- approximated

Answer:

1 km = 100000 cm

Answer:

21

Step-by-step explanation:

28x3/4

Answer:

42

Step-by-step explanation:

Add up all of the sides, dont bother with negatives and positives because that does not matter when finding area or perimeter on a coordinate plane

Answer:

It is 40 degrees

Step-by-step explanation:

The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:

50+x=90

-50    -50

-------------

x=40

Answer: just multiply the same sides that same number and that add the answers all together

Step-by-step explanation: