Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap between 3.9mm and 4.3mm. Any spark plugs with gaps larger or smaller than this will fail inspection and be discarded. At the factory, the machine that sets the gap follows a normal distribution with a mean of 4.1mm and standard deviation of 0.075mm. What is the probability that a randomly selected spark plug passes inspection

Answer:

B

Step-by-step explanation

f(x)=x2-4x-5

Becomes

f(x)=x2-5x+x-5

Take out the common factor

f(x)=(x-5)(x+1)

Equate the given function equal to 0

0=(x-5)(x+1)

And then

x-5=0 -- x=5

x+1 = 0 == x=-1

Answer:

B

Step-by-step explanation:

we are given a quadratic function

we want to figure out the form which we don't need change

so according to the question

[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]

rewrite -4x as x-5x:

[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]

factor out x:

[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]

factor out -5:

[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]

group:

[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]

hence our answer is B

Answer:84

Step-by-step explanation:

-8+92

Lo puedes dar la vuelta

92-8= 84

Answer:

84

Step-by-step explanation:

So -8 + 92 = 92 - 8

   92

-     8

______

   84

So, -8 + 92 = 84

hope this helps:)

Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]

The total number of students is:

[tex]n = 12[/tex]

The data that represents  [tex]2\frac{1}{2}[/tex] or more is:

[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]

The frequency of this is 5

The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7

This means that less than half spend [tex]2\frac{1}{2}[/tex] or more

and more than half spend [tex]2\frac{1}{2}[/tex] or more

Hence, Daniel is incorrect. Liz is correct

The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

Answer:

100 miles

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Maybe A Emma,  but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws  :/

Step-by-step explanation:

vote

Answer:Step-by-step explanation:mean=23+20+15+17+A/6=1923+20+15+17+A=19(6)43+32+A=11475+A=114A=39 More

Answer:

14+24+24+20+24=106

106 divide by 6=17.66

round of the answer to the nearest =18

Answer:

yea i know bitly is a scam

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

(-1,-1) when put into both equations are the same thing.

Answer:

Step-by-step explanation:

Answer:

200π cm^2

Step-by-step explanation:

Sb = 8^2 π = 64π cm^2

a = sqrt2 [8^2 + 15^2] = sqrt2 [64 + 225] = sqrt (289) = 17 cm

Sl = 8x17xπ = 136 π cm^2

SA = 136π + 64π =200π cm^2

Hope it  helps you

I tried a lot on this

Answer:

LA = 15 cm2

Step-by-step explanation: Trust me.

Answer:

cereal bowl- 2 cups

baby food jar- 4 fluid ounces

soda can- 12 fluid ounces

swimming pool- 1000 gallons

large can of paint- 1 gallon

Answer:

x = 17

Step-by-step explanation:

75 = 4x + 7

68 = 4x

x = 17

Answer:

17

Step-by-step explanation:

Set equal to each other

Subtract 7 from 75

Divided the answer (68) by 4

Receive the answer 17

Hope this helps, have a good day.

Answer:

5

Step-by-step explanation:

8 times 15 equals 120, so if the volume is 600, 600/120 or 600/ 8 times 15 is equal to 5

Answer:

I think x=0, and y=4

Step-by-step explanation:

P.S. I'm sorry if I'm wrong!

Answer:

Step-by-step explanation:jhbhbhjvjhvkhvmvghv

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.

Answer:

30

Step-by-step explanation:

teacher x

student 18x

18x=540

x=30

Answer:

$1.40

Step-by-step explanation:

First, 8% of $45

45*0.08=3.6

45+3.6=48.6

50-48.6=1.4

Answer:

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Answer:

Yes. An Equilateral Triangle have same angles and sides.

All sides are equal.

The rest of the side where the 8 is would 20 (28-8)

Set up proportions:

8/10 = 20/3x-5

Cross multiply

200 = 24x-40

Add 40 to both sides

240 = 24x

Divide both sides by 24

X = 10

Solve for the equation: 3x-5 = 3(10)-5 = 30-5 = 25

Answer:

The truck drove 213 miles.

Step-by-step explanation:

181.87-19.99= 161.88

161.88÷0.76= 213

Answer: 49.25

Step-by-step explanation:

Answer:

The answer is B. 283.8 miles.[tex]\sqrt{b^2[/tex]

Step-by-step explanation:

Using the cosine rule:

b^2 = a^2 + p^2 - 2ap(cosB)

b^2 = 172.20^2 + 111.64^2 - 2 x 172.20 x 111.64(cos177.29)

b^2 = 42,116.33 - 38,448.82(cos177.29)

b^2 = 42,116.33 - (-38,405.82)

b^2 = 42,116.33 +38,405.82

b^2 = 80,522.15

[tex]\sqrt{b^2[/tex] = [tex]\sqrt{80,522.15}[/tex]

b = 283.76 miles = 283.8 miles

Answer:

0.1 is the outlier

Step-by-step explanation:

Though the question has a missing attachment (of the line plot), the question can still be answered.

The given data can be represented as;

[tex]\begin{array}{cc}{} &{Dots} & {0.1} & {1} & {0.5} & {2} & {0.6} & {4} & {0.7} & {1} \ \end{array}[/tex]

Notice that 0.1 is not as close as to other data as the closeness of 0.5, 0.6 and 0.7.

This implies that 0.1 is an outlier.

Answer:

0.1 is the outlier

Step-by-step explanation:

Look at the data on the line plot.

A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot.

Which data value would be considered the outlier? Enter your answer in the box

Answer:

35

Step-by-step explanation:

if chiefs lost by 25, packers have 25 more points.

packers - 25 = chiefs

equation: packers - 25 = 10

packers = 10 + 25

packers = 35 points

Answer:

35 pts

Step-by-step explanation:

10+25=35

10+10=20

+15

35

lol

Answer:

x<=4, put the closed circle on "4" with the arrow going all the way left

0.91 as a percent is 91%

Answer:

91%

Step-by-step explanation:

0.91 = 91/100 = 91%

Answer:

D

Step-by-step explanation:

D says four-tenths and 2 times 2 is 4 and 5 times 2 is 10 so 2/5 is equal to 4/10.

Answer:

5, 11, 10, 4, 19 ,2, 12

Step-by-step explanation:

9 is the mean

Standard deviation is 5.398 | Rounded = 5.4

Answer:

mean 9

deviation 5.8

Step-by-step explanation: