The reading on a car speedometer has 1.6% maximum error the speed limit on the road is 65 miles per hour


A) the speedometer reads 64 miles per hour is it possible that the cat is going over the speed limit



B) the speedometer reads 64 miles per hour is the car definitely going over the speed limit

Answers

Answer 1

Answer:

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Step-by-step explanation:

Data provided in the question:

Maximum error  on a car speedometer = 1.6% = 0.016

Maximum Speed limit on the road = 65 miles per hour

Now,

The error will be ± 1.6%

Now,

When the speedometer reads 64 miles per hour

The possible speed of the car can be

64 miles per hour + Error

= 64 + [0.016 × 64]

= 64 + 1.024

= 65.024 miles per hour

or

The speed can be

64 miles per hour - Error

= 64 - [0.016 × 64]

= 64 - 1.024

= 62.976 miles per hour

Hence,

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.


Related Questions

Name the property the equation illustrates.
-4x-1/4=1

Answers

Answer:

Distrbutive Property

Step-by-step explanation:

Final answer:

The equation -4x - 1/4 = 1 illustrates the addition property of equality.

Explanation:

The property illustrated by the equation -4x - 1/4 = 1 is the addition property of equality. According to this property, if you add the same number to both sides of an equation, the equality of the equation is maintained. To isolate the variable, we need to get rid of the constant term (-1/4) on the left side of the equation by adding 1/4 to both sides. This simplifies the equation to -4x = 1 + 1/4. Then, divide both sides by -4 to solve for x.

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-2 square root 20- square root 125

Answers

Answer:-5.93958251....

Step-by-step explanation:

To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.

The question asks to simplify the expression -2√20 - √125.

First, let's simplify the square roots by factoring out squares from under the radical:

√20 = √(4×5) = √4√5 = 2√5√125 = √(25×5) = √25√5 = 5√5

Now let's substitute these simplified forms back into the original equation and simplify:

-2(2√5) - 5√5 = -4√5 - 5√5

Combine like terms to get the final simplified result:

-9√5

complete question given below:

simplify -2 square root 20- square root 125

I had 20 dollars and earned 15, leaving me with 35. What is the percent that it increased in pay?

Answers

Answer:

42.8%

Step-by-step explanation:

I asked Alexa lol

Answer:

The answer is 40%

Step By Step Explanation:

The reason why is because if you do 10 divided by 25 you get 0.40 and then if you multiply it you get 40 = 40%

Yesenia is 168 miles from Chicago. If she needs to be in Chicago in 3 hours, at what rate does she need to drive?

Answers

she needs to be driving at 56 mph

Answer:

56 per hour

Step-by-step explanation:

168 divided by 3

Eden spent half of her weekly allowance on candy. To earn more money her parents let her weed the garden for $5. What is her weekly allowance if she ended with 12?

Answers

Answer:

her weekly allowance would be 7

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

12 is 1/2 of 24.

So, when she weeds the garden, she will have $17.

If she gets her weekly allowance and the $5, she will have $41, assuming she doesn't spend any of the money she already has.

Movies are on sale for 1/4 the original price. If the original price is $20, which expression gives the sale price?

Answers

1/4*20 = new price = 15 dollars
If the original price is 20 dollars,then we would have to divide that by 25% to get 15 dollars.Hopes that helps!

a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36

Answers

Answer:

A. 250

B.40

C.225

D.24

Step-by-step explanation:

20/0.08 = 250

30/0.75 = 40

45/0.2 = 225

36/1.5 = 24

Answer:

a. 8% of 250 = 20

b. 75% of 40 = 30

c. 20% of 225 = 45

d. 150% of 24 = 36

Step-by-step explanation:

20×100÷8

=250

30×100÷75

=40

45×100÷20

=225

36×100÷150

=24

The green dots must make up a triangle 1/3 of the original picture PLZ HELP

Answers

Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C

A=. (-6,-3)

B = (-9,6)

C =(3,9)

Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:

A’=(-2,-1)

B’ =(-3,2)

C’ =(1,3)

d - 10 - 2d + 7 = 8 + d - 10 - 30

Answers

D= 14.5 I promise dawg

Answer:

[tex]d=14.5[/tex]

Step-by-step explanation:

Given equation:

         [tex]d - 10 - 2d + 7 = 8 + d - 10 - 30[/tex]

To solve the equation for 'd', take the terms of 'd' to one side and the constants to the other side.

         [tex]d - 2d - d = 8 - 10 - 30- 7+10[/tex]

                 [tex]-2d=8-30-7\\-2d=1-30\\-2d=-29\\ d=\frac{29}{2}\\ d=14.5[/tex]

On, solving the equation the value of 'd' is [tex]d=14.5[/tex]


Chang drove 315 miles in 5 hours.
At the same rate, how long would it take him to drive 567 miles?
I hours

Answers

Answer:

AROUND 6-7 HOURS

Step-by-step explanation:

It would take him 9 hours

the sum of 7 times a number and 9 is 4

Answers

I’m assuming you need a equation.
Ans: 7x+4=9

use the completing the square method to solve the equation x^2 + 16x + 2.

Answers

x = - 0.12 or - 15.87

Step-by-step explanation:

Step 1: Divide the equation with the coefficient of [tex]x^{2}[/tex]. In this case, coefficient of Step 2: Move the number term to the right hand side of the equation. Now, the equation becomes [tex]x^{2} + 16x = -2[/tex]Step 3: Complete the square in the left hand side of the equation and then add the same number to the right hand side to balance the equation. Now, equation becomes [tex]x^{2} +16x+64 = -2+64[/tex]                     So, [tex]x^{2} +16x+64 = 62[/tex]   [tex]ie, (x+8)^{2} = 62[/tex]  Step 4: Take the square root of both sides. Therefore, [tex]x+8 = \sqrt{62}[/tex]               So, [tex]x =[/tex] ± [tex]7.87 - 8[/tex]  

Therefore, [tex]x = -0.12, -15.87[/tex]

What is 4/9 as a decimal

Answers

Answer:

0.4 and alot of other 4's

Step-by-step explanation:

Answer:

.44444444 repeating

Any number less than 9 over 9 will be itself forever after a decimal point

Step-by-step explanation:

mean of 10 observations is 2.5.if one observation 2.5 is deleted,determine the new mean​

Answers

Answer: 2.5

Step-by-step explanation:

Mean m = Sum s ÷ no of observation n

m = 2.5, n = 10

2.5 = s ÷ 10

s = 10 × 2.5

s = 25.

If one observation 2.5 is deleted from sum 25, new sum equals 25 — 2.5 = 22.5.

The no of observation becomes 9.

Therefore new mean = 22.5 ÷ 9

m = 2.5.

How this helps?

Final answer:

The question is about calculation of a new mean after deleting an observation from a data group. Despite deleting an observation of 2.5 from a data set with a mean of 2.5, the mean remains the same.

Explanation:

The subject matter is about computing the mean of a data set after a data point has been deleted. Starting off, we know we initially have 10 observations with a mean of 2.5. Therefore, the total sum of the observations can be calculated by multiplying the mean with the number of data points (2.5 * 10) to get 25.

Now, if we are to delete one observation worth 2.5, we have to subtract it from our total of 25 to get a new sum of 22.5. Then, we also decrease the number of data points by 1, which leaves us with 9 data points.

Finally, the new mean can be calculated by dividing the new sum by the new number of data points. In this case, it would be 22.5 divided by 9, which equals 2.5. Thus, the mean remains the same even after deleting the observation of 2.5.

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Doug makes a parallelogram-shape sign for his shop.

What is the area of this parallelogram?

Round to the nearest hundredth.


A. 5.32 ft²

B. 8.96 ft²

C. 14.28 ft²

D. 17.02 ft²
Parallelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B and is connected to point D by a dotted line. Point F is on side DC and connected to B by a dotted line. Angle D E B and angle F B E are right angles. A E and F C are 1.9 feet each. E B is 3.2 feet. F B is 2.8 feet.

Answers

Answer:

14.28 ft squared

Step-by-step explanation:

The formula for the area of a parallelogram is base times height.

Add 3.2 to 1.9 to get the base, and 2.8 is the height.

(3.2 + 1.9) x 2.8

5.1 x 2.8 = 14.28

14.28

You received an order for a 28-day supply for Propranolol HCI 120mg tablets po q.i.d. to prevent post M I reinfection How many tablets will be dispensed for the 28-day supply?

Answers

112 tablets will be dispensed for the 28-day supply.

Step-by-step explanation:

Given:

Received an order of 120 mg tablet po q.i.d. for a 28-day supply.

Here in medical prescription, the term 'po' and 'q.i.d' means a lot to understand the question.

In medical prescription, the term 'po' refers the treatment that should be taken orally. i.e. by opening mouth or the way of openingIn medical prescription, the term 'q.i.d' refers four times in a day.

Therefore, to find the number of tablets need to be dispensed for 28- day supply is given by,

[tex]number\ of\ the\ tablet\ for\ 28- day \times number of tablets taken in a day =28 \times 4[/tex]

tablets to be dispensed for the 28-day supply = 112 tablets.

If a circle has a radius of 12 feet, whats its circumference most nearly?

Answers

Answer:24π feets

Step-by-step explanation:

Since the circumference C= 2πr and r=12

C= 2x12xπ

C=24π

What is the answer to 4•4+4(5-2)+7

Answers

Answer:

35

Step-by-step explanation:

4 x 4+4(5-2)+7

4 x 4+4(3)+7

16+12+7

28+7

35

Substitute x+3y=4
2x-6y=8

Answers

Answer:

x=4, y=0. (4, 0).

Step-by-step explanation:

x+3y=4

2x-6y=8

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

x=4-3y

2(4-3y)-6y=8

8-6y-6y=8

8-12y=8

12y=8-8

12y=0

y=0/12

y=0

x+3(0)=4

x+0=4

x=4-0

x=4

Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is the likelihood of this event?
A.
The probability is 1, and the event is certain.
B.
The probability is 3/11 , and the event is likely.
C.
The probability is 6/11, and the event is unlikely.
D.
The probability is 6/11 , and the event is neither likely nor unlikely.

Answers

Answer:

D. The probability is 6/11, and the event is neither likely nor unlikely

Step-by-step explanation:

54% = 6/11

Answer:

D

Step-by-step explanation:

What is the scale factor on the map (10 points

Answers

Answer:

2785

Step-by-step explanation:

Write an expression in simplest form to represent the area of the shaded region
3x+2 2x 3x 4x

Answers

12x+2

explication:
2x+3x= 5x
5x+3x= 8x
8x+4x= 12x + 2
Answer:12x+2Step-by-step explanation:2x+3x= 5x5x+3x= 8x8x+4x= 12x + 2

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows. m = StartFraction 14 minus (negative 2) Over 3 minus (negative 5) EndFraction = StartFraction 16 Over 8 EndFraction = 2. y = 2 x + b. Negative 2 = 2 (negative 5) + b. Negative 2 + 10 = negative 10 + b + 10. b = 8. What is the equation of the line in slope-intercept form?

Answers

y = 2x + 8 is the equation of line in slope intercept form

Solution:

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14)

To find:  Equation of the line in slope - intercept form

The equation of line in slope intercept form is:

y = mx + c ------ eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Find the slope of line

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex](x_1, y_1) = (-5, -2)\\\\(x_2, y_2) = (3, 14)[/tex]

Therefore,

[tex]m = \frac{14-(-2)}{3-(-5)}\\\\m = \frac{14+2}{3+5}\\\\m = \frac{16}{8}\\\\m = 2[/tex]

Thus slope of line is 2

Find the y intercept:

Substitute m = 2 and (x, y) = (-5, -2) in eqn 1

-2 = 2(-5) + c

-2 = -10 + c

c = -2 + 10

c = 8

Thus the equation of line is:

Substitute c = 8 and m = 2 in eqn 1

y = 2x + 8

Thus the equation of line is found

Answer:

the answer is y=2x+8

Step-by-step explanation:

Find the missing side length of S

Answers

Answer:

s=12

Step-by-step explanation:

Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.

[tex]\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12[/tex]

A principle of $20,000 is invested at $6.25 and earns $10,000 simple interest how long has the money been invested

Answers

Answer:

1600

Step-by-step explanation:

Assuming $6.25 is the interest earned annually,

Let n be the no. of years

Then,

6.25 × n = 10000

n = 10000/6.25

n = 1600

The length of a rectangle is 2 units more than the width. The area is 63 units. What is the width, in units, of the rectangle?

Answers

First, let's write what the question says in equation form:

(The length of a rectangle is 2 units more than the width)
L = w + 2

(The area is 63 units)
L * w = 63

Since we already know the value of L ('w + 2'), we can simply input that into the equation to solve for area:

L * w = 63
(w + 2) * w = 63

w^2 + 2w = 63
Subtract both sides by 63:

w^2 + 2w - 63 = 0
Factor:
(w + 9)(w - 7) = 0

We get two answers:
{-9, 7}
Since the width can't be negative, the only possible answer is 7.

w = 7

We can input 'w' into the first equation:
L = 7 + 2
L = 9

The width is 7 units, and the length is 9 units,

-T.B.

Answer:

the width is 7. i just did this in deltamath

Step-by-step explanation:

Solve for y.
2(-4y + x) = 4

Answers

Answer:

Step-by-step explanation:

-4y + X  = 2

-4y = 2 - x

y = 2 - x/ -4

hope this helps!!

The value of y in terms of x is -1/2 + x/4.

To solve for y, we start with the equation 2(-4y + x) = 4.

Distribute the 2 inside the parentheses: -8y + 2x = 4.

Move the term with x over to the other side by subtracting 2x from both sides: -8y = 4 - 2x.

Isolate the y by dividing both sides by -8: y = (4 - 2x) / -8.

Simplify the right side by dividing both terms by -8: y = -1/2 + x/4.

What value of r makes the equation true
2(3r + 11) = (7r - 3r)

Answers

Answer:

r=-11

Step-by-step explanation:

Solve for r:

2 (3 r + 11) = 7 r - 3 r

7 r - 3 r = 4 r:

2 (3 r + 11) = 4 r

Expand out terms of the left hand side:

6 r + 22 = 4 r

Subtract 4 r from both sides:

(6 r - 4 r) + 22 = 4 r - 4 r

6 r - 4 r = 2 r:

2 r + 22 = 4 r - 4 r

4 r - 4 r = 0:

2 r + 22 = 0

Subtract 22 from both sides:

2 r + (22 - 22) = -22

22 - 22 = 0:

2 r = -22

Divide both sides of 2 r = -22 by 2:

(2 r)/2 = (-22)/2

2/2 = 1:

r = (-22)/2

2 | 1 | 1

| 2 | 2

- | 2 |  

| | 2

| - | 2

| | 0:

Answer: r = -11

What is wrong with this solution?
-5m - 16 = 19
5m - 16 + 16 = 19 + 16
Step One:
Step Two:
Solution:
m = 7

Answers

Final answer:

The solution shown is incorrect because the equation is not simplified before performing operations.

Explanation:

The solution shown is incorrect. Let's go step by step to find the error:

Step One: -5m - 16 = 19

Step Two: 5m - 16 + 16 = 19 + 16

Step Three: 5m = 35

Step Four: Divide both sides by 5: m = 7

The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.

Therefore, the correct solution is m = 7.

Final answer:

The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.

Explanation:

The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.

Step One

Add 16 to both sides of the equation to eliminate the -16:

-5m - 16 + 16 = 19 + 16

-5m = 35

Step Two

Divide both sides by -5 to solve for m:

-5m / -5 = 35 / -5

m = -7

The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.

Which of the following equations would result in destructive interference with the wave y= -2sin(2pi/3 x)?
A.) y= -2sin(2pi/3 x)
B.) y=2sin(2pi/3 x)
C.) y= -2sin 3pi/2 x)
D.) y=2sin (3pi/2 x)

Answers

Answer:

B: 0.449 secs

A, C, and D: y=2sin(pi/5x), y=2sin(pi/10x), y=2sin(10pi x)

B: y=2sin(2pi/3x)

Answer:

B. y=2sin(2pi/3x)

Step-by-step explanation:

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