A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events: a. The car travels more than 69 miles per gallon. Proba

Answers

Answer 1

Answer:

0.28386

Step-by-step explanation:

Given that :

Mean, μ = 65 miles

Standard deviation, σ = 7 miles

Probability that car travels more than 69 miles per gallon :

Recall,

Z = (x - μ) / σ ; x = 69

Z = (69 - 65) / 7 = 0.5714

The probability :

P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)

P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386

P(Z > 0.5714) = 0.28386


Related Questions

Can someone help me solve this?

Answers

Answer:

m<c = 104°

m<d = 80°

Step-by-step explanation:

Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:

m<c + 76° = 180°

m<c + 76° - 76° = 180° - 76° (subtraction property of equality)

m<c = 104°

m<d + 100° = 180°

m<d +100° - 100° = 180° - 100° (subtraction property of equality)

m<d = 80°

A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.

Answers

Answer:

c 0.28 m

Step-by-step explanation:

A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.

a 1.28 m

b 2.8 m

c 0.28 m

d 0.028 m

Given:

Length of the pipe in fraction = 28/100

What is the equivalent length in decimal?

28/100

How many hundred can you get in 28

= 0. Remainder 28

Add 0 to 28 which makes it 280

How many hundred can you get in 280

= 2 remainder 80

Add 0 to 80 which makes it 800

How many hundred can you get in 800

= 8 remainder 0

Bring all the quotient together

Therefore,

28/100 m = 0.28 m

which function defines the sequence 5,8,11

Answers

Answer:

adding 3 to each number.

Step-by-step explanation:

Which of the following statements is false?

Answers

B. A parallelogram is a rectangle.

18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra

Answers

Answer:

Yes, the ratio is still 5:4.

Step-by-step explanation:

If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.

For example:

5 x 5 = 25 males

4 x 5 = 20 females

The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.

Have a good day! :)

What is the probability that you roll at least one 3 in your dice? Convert your answer to
decimal form, then round to 3 decimal places,

Answers

Answer:

0.167

Step-by-step explanation:

1 dice has 6 faces, 2 dice will have a total of 12 faces

1 dice has 1 face with a 3 on it, so 2 dices will have 2 total 3s on them.

2 /12 = 1/6 = 0.16666666666

Rounded to 3 d.p = 0.16666

= 0.167

Answered by Gauthmath

Who can help me with this question as well

Answers

Answer:

36 degrees

Step-by-step explanation:

First, to find the exterior angle of a polygon, we must divide 360 by the number of sides/angles that the specific polygon has. In this case, our polygon has 10 sides, so it's a decagon.

If we apply this formula, where s = # of sides, we can find the exterior angle of this polygon:

360/s = exterior angle

360/10 = 36

Therefore, the exterior angle is 36 degrees.

Answer:

36°

Step-by-step explanation:

Sum of exterior angles of a polygon = 360°

What is the recursive rule for this geometric sequence? 7, 21, 63, 189,…

1. a1 = 7;an = 3 • an - 1
2. a1 = 7;an = 1/3 • an - 1
3. a1 = 3;an = 7 • an - 1
4. a1 = 21;an = 7 • an - 1

Answers

Answer:

The top choice is the answer. a1=7; an= 3*a_(n-1)

Step-by-step explanation:

Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.

Take the 3rd term (63) and divide it by the second term.

63/21 = 3

What this means is that each term in the sequence is multiplied by 3 to get to the next term.

The first term is 7

So the answer is an = 3* a_n-1

The answer must be the top one. See if it works.

a2 = 3*a_(2 -1 )

a2 = 3 * a1

a2 = 3 * 7

a2 = 21 which it does.

write the point-slope form of the equation of the line through the given points (0,4) and (-5,-4)

Answers

Answer:

y - 4 = 8/5 (x - 0)

Step-by-step explanation:

first, find the slope using the points given ((0,4) and (-5,-4))

use the following formula to find the slope:

m= y2 - y1/x2 - x1

using this formula you should get the following:

m= -4-4/-5-0 = -8/-5 = 8/5

using the point (0,4) and the slope, it into the slope-point form (y-y1=m(x-x1)

the answer should be: y - 4 = 8/5(x - 0)

16789047+65390-49532578=?

Answers

I think the awnser is -32678141

Answer:

-32678141

Step-by-step explanation:

Solve BCD. Round the answers to the nearest hundredth, if necessary.

Answers

Answer:

B

Step-by-step explanation:

here we use trigonometric ratio involving soh,cah,toa

please help!! geometry also might ask another question in the comments so be able to answer and I’ll mark you brainliest later :)

Answers

Coordinate of D: (2, -2)

Multiply x and y by 0.5

Answer: D = (1, -1)

For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed

Answers

Answer:

173 minutes

Step-by-step explanation:

Total fees= monthly fees + $0.11(number of minutes)

$22.03= $3 +$0.11(number of minutes)

$0.11(number of minutes)

= $22.03 -$3

= $19.03

= 1903¢

11¢ (number of minutes)= 1903¢

Number of minutes

= 1903¢ ÷11¢

= 173

Thus, Tony was billed for 173 minutes.

PLZ HELP AND EXPLAIN!! I'll give brainy


For this exponential function,

what is the output value (y),

when the input value (x) is 2?



y = 10.5x




(2, [?])

Answers

Answer:

(2,21)

Step-by-step explanation:

y = 10.5x

it says that x=2 and when you plug the 2 in the equation you would get

y = 10.5(2)

then multiply the 2 and 10.5

y=21

that is my answer

glad yo help

Product of the zeroes of polynomial 3x²-2x-4 is ? No spam ❌ Want accurate answers ✔ No spa.

full explain​

Answers

9514 1404 393

Answer:

  -4/3

Step-by-step explanation:

Quadratic ax² +bx +c can be written in factored form as ...

  a(x -p)(x -q)

for zeros p and q. The expanded form of this is ...

  ax² -a(p+q)x +apq

Then the ratio of the constant term to the leading coefficient is ...

  c/a = (apq)/a = pq . . . . the product of the zeros

For your quadratic, the ratio c/a is -4/3, the product of the zeros.

_____

Additional comment

You will notice that the sum of zeros is ...

  -b/a = -(-a(p+q))/a = p+q

Answer:

[tex] \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}[/tex]

Step-by-step explanation:

We know that,

[tex] \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}[/tex]

Given that, the polynomial is :

[tex] \bf \: 3 {x}^{2} - 2x - 4[/tex]

so,

constant term c = - 4coefficient of x^2 = 3

[tex] \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} [/tex]

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30

Answers

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17


The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which
of the
following equations best models
the height k in
centimeters, of the sunflower t days after it begins
to grow?

Answers

Answer:

sorry I don't know.....

REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe

1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A


2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.

Answers

Answer:

1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

2. La ecuación de la recta es, y = -5·x - 6

Step-by-step explanation:

 1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)

Por tanto, la ecuación vectorial de la línea es;

[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

Donde;

t = Cualquier número

2. El punto por el que pasa la recta es P (-2; 4)

La pendiente de la recta, m = -5

Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;

y - 4 = (-5) · (x - (-2)) = -5 · x - 10

∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6

La ecuación de la recta es, y = -5·x - 6

The area CA) of a Parallelogram is found by using this formula A = BH What is the area when b is 7cm and h is 3cm?​

Answers

Answer:

Area of parallelogram = 21

Step-by-step explanation:

A = BH

Plug in

A = 7×3

Solve

A = 21

The answer will be 21.

which is the equation of the line with slope 0 passing through the point (-1,-2)?

Answers

The answer is A.

Because it goes 2 down

Your newest coworker is not as productive as other members of your team. You and your coworkers have to work harder to make up for this.
What would you be most and least likely to do?

(A).Be patient. Give her more time to learn the job so that her productivity will increase.

(B).Ask her how the job is going. Let her know you're available if she has any questions.

(C).Give her advice and tips for how to get things done correctly and efficiently.

(D).Talk to your supervisor about the situation. Suggest that this might not be the best role for your coworker.

Answers

Answer:

(C) Give her advice and tips for how to get things done correctly and efficiently.

Explanation:

You would be most and least likely to: Provide her with suggestions and pointers on how to complete tasks correctly and efficiently.

The path a character takes to navigate a level of a video game is given in the following graph.
What is the domain?
A. –4 ≤ x ≤ 8
B. –4 ≤ x ≤ 8, x ≠ 0, 4
C. –10 ≤ x ≤ 10
D. –10 ≤ x ≤ 10, x ≠ –4, 6

Answers

Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.

The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.

According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:

–10 ≤ x ≤ 10

Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.

Learn more here: https://brainly.com/question/18486099

Find the H.C.F of 144,180,240,300​

Answers

Answer:
GCF = 12

for the values 144, 180, 240, 300

Solution by Factorization:

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Then the greatest common factor is 12.

Answer:

12

Step-by-step explanation:

We are looking for the highest common factor

Breaking each term into primes

144 = 12*12 =  4*3 * 4*3 =  2*2*3*3

180 = 20 *9 = 4*5*3*3 = 2*2*3*3*5

240 = 24*10 = 4*6*2*5 = 2*2*2*3*2*5 = 2*2*2*2*3*5

300 = 30*10 = 5*6*2*5 = 5*2*3*2*5 = 2*2*3*5*5

Look for the common factor

2*2*3 = 12

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g horizontally shifted left 3 units.
B.
The graph of h is the graph of g vertically shifted down 3 units.
C.
The graph of h is the graph of g horizontally shifted right 3 units.
D.
The graph of h is the graph of g vertically shifted up 3 units.

Answers

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is f(x) translated horizontally

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given that h(x) = g(x - 3) , then

The graph of h(x) is the graph of g(x) horizontally shifted 3 units right

Answer:

C

Step-by-step explanation:  I took the test

What is the Greatest Common Factor of thepolynomial 3x - 3y ?

Answers

Answer:

3

Step-by-step explanation:

HELP PLZ


Part A Translate the sentence into an expression.

2 less than 9 times h


Part B Create a scenario (word problem) using the expression above.


Part C Evaluate the expression if h is 1/3

Answers

Step-by-step explanation:

A

9×h - 2

B

the baseline of the triangle is 2 units less than 9 times the height long.

C

h = 1/3

9×1/3 - 2 = 3 - 2 = 1

Translate to an equation, then solve.
Nineteen less than six times a number is equal to 11 more than four times the number?
What is the number?​

Answers

Answer:

15

Step-by-step explanation:

Let the number is x, then we have:

6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15

Which of the following best describe(s) the slope of a linear function?
Select all that apply.

rise over run
run over rise
average rate of change
intersection with the y-axis

Answers

intersecting with the y-axis is the correct answer

Please Help I don't get this

Answers

Answer:

The choose (D)

Step-by-step explanation:

[tex] \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]

Please solve this question

Answers

Answer:

Step-by-step explanation:

Answered by Gauthmath

Step-by-step explanation:

Is great than eit6of the measure of the interior angles

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