Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?
0.025
0.0015
0.16
0.475
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Explanation:
mu = 65 = population meansigma = 4 = population standard deviationLet's convert x = 53 to its corresponding z score
z = (x-mu)/sigma
z = (53-65)/4
z = -12/4
z = -3
This indicates we're 3 standard deviations below the mean.
Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.
(0.3%)/2 = 0.15%
This then converts to 0.0015 when we move the decimal point 2 spots to the left.
I need help on this 8th grade math this is due tomorrow.
Answer:
u²=6.25p²=5Step-by-step explanation:
Raise 2.5 to the power of 2 =
6.25
Pull terms out from under the radical, assuming positive real numbers =
5
(-0.4)^2 sum pls i need this by tonight i have to finish my math corrections pls
Answer:
(-0.4)²
= -0.4×-0.4
product of two negative numbers is positive
so, 0.4×0.4
=4/10×4/10
=16/100
=0.16
if x 60 and 30 find the unknown sizes of angle
Answer:
A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any missing part of the triangle. The ratio of the side lengths of a special right triangle with angles of 30, 60, 90 is 1:sqrt(3):2, while the ratio of the side lengths of a special right triangle with angles of 45, 45, 90 is 1:1:sqrt(2).
1 4/5-1/3 divided by 2 2/5
Answer:
THIS MATH WEBSITE HELPS A LOT, TYPE YOUR QUESTION AND IT'LL ANSWER IT LOL
Step-by-step explanation:
wish you the best! gl!
if x = (7+4√3), then the value of x^2 + 1/x^2 is
Answer:
194.
Step-by-step explanation:
x = (7+4√3)
x^2 = x = (7+4√3)^2
= 49 + 48 + 56√3
= 97 + 56√3
x^2 + 1/x^2 = 97 + 56√3 + 1/(97 + 56√3)
= 194.
plzzzzzzzzzzzzzzzzzzz helppppp
Answer:
15
Step-by-step explanation:
I'm not sure, but find out the coordinates of the two points, and then find the slope between them.
Angle A and B are complementary
m∠A= (x - 4)°
m∠B= (2x + 7)°
Can you solve this for me please!!
Answer:
Step-by-step explanation:
x-4+2x+7=90
3x+3=90
-3 -3
3x=87
x=29
m<A= 29-4
=25
m<B=2(29)+7
=58+7
=65
At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
Answer:
the answer will be 14708
Answer:
14708
Step-by-step explanation:
Apply the formula:
Amount at time t in years =
(Starting amount)(1 + yearly per cent increase)^(Number of years) =
(13,000)(1 + 2.5%)^5 =
13000(1.025)^5 =
14708.3067676 =
14708, to the nearest whole number.
"Unless [the three branches] be so far connected and blended
as to give to each a constitutional control over the others, the
degree of separation ... essential to a free government, can
never in practice be duly maintained." James Madison, Federalist
48
Which principle best describes what Madison is explaining?
А
checks and balances
B
popular sovereignty
С
rule of law
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
Solve and graph the solution.
|4x-13| = 5x+4
Answer: x = -17
Step-by-step explanation:
4x-13=5x+4
(4x-13)+(13-5x)=(5x+4)+(13-5x)
4x-13+13-5x=5x+4+13-5x
4x-5x-13+13=5x-5x+4+13
-x=17
x=-17
Answer:
x = -1
Step-by-step explanation:
/4x-13/ = 5x + 4
4x +5x = -13 +4
9 x = -9
9x = -9
x = -1
The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?
a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm
Answer:
12cm
Step-by-step explanation:
h = 2b + 4
Area = 168 cm²
b = ?
Area = b*h / 2
168 = b (2b + 4) / 2
168 = 2b² + 4b/ 2
168 = b² + 2b
b² + 2b - 168 = 0
(b + 14) (b - 12) = 0
b = -14
b = 12
The base of a triangle cannot be -ve. So b = 12cm
Find the percent decrease. Round to the nearest percent.
From 99°F to 72°F
Answer:
Step-by-step explanation:
71.28
Hi I need help with this
Answer:
well this is going to be long, but
1. 0.625
2. -0.136
3. 1.222
4. -5.075
5. -7.455
6. 4.067
7. -9.111
8. -7.833
9. 17/25
10. -1/100
11. -3 99/100
12. 8 149/200
13. 3 1/200
14. -13 3/250
15. -9 49/50
16. -10 113/250
17. your friends snapper is larger, 1320/156 > 1313/156
18. 0.13 > 1/8
19. -1 2/9 < 5/4
20. -5.175 < -5 1/6
21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....
Step-by-step explanation:
sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day
2x+34=6-5x pls help show work I’ll mark as brainliest!!
Answer:
x = -4
Step-by-step explanation:
2x + 34 = 6 - 5x
Subtract 34 from both sides.
2x = -28 - 5x
Add 5x to both sides.
7x = -28
Divide both sides by 7.
x = -4
Proof:
2x + 34 = 6 - 5x
Substitute variable.
2(-4) + 34 = 6 - 5(-4)
Multiply.
-8 + 34 = 6 + 20
Add.
26 = 26
Answer:
x = -4
Step-by-step explanation:
2x+34=6-5x
+5x +34 = 6+5x
------------------------
7x +34 = 6
7x -34 = -34
-----------------
7x = -28
--- ------
7 7
x = -4
The johnsons's back yard is 3/8 of am arce.They planted a vegtable garden on 1/3 of the yard.How big is the garden?
Pls help;
Answer:
1/8 of an acre
Step-by-step explanation:
Select all the statements that best describe the table below.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct statements are :
The rate of change is not constantThe relationship is non linear Independent variable is Age Dependent variable is selling price It is a negative relationshipguys pls help me!!!!!
explain step by step please and thanks
Answer:
B
Step-by-step explanation:
5(h)=w+8. get rid of 5 by multiply
5h=w+8
w=5h-8
Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?
The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.
Then the cost of the sales tax will be
→ 0.05 × 480 = $24
Then the amount of the tip will be
→ 0.20 × 480 = $96
Then the total cost of the dinner will be
→ $24 + $96 + $480 = $600
More about the percentage link is given below.
https://brainly.com/question/8011401
EXAMPLE 4
If m.25 = 82, find each measure.
a. M21 -
e. m.26
LM210
b.m.22
1. m.27
J. 211
1/7 2/6 319
10
11 6/12
c.m.3
9. M.28
km212 =
d. 24
hm.29
EXAMPLE 5
Ifm.212 121° and m.2675°, find each measure.
a.m21
e. m.25
Lm.210
b. m.22
t.m.27
Jm211
70
10
13 14
11/12
c.m.3
km.213
g. 28
d.m24
hm.29
L214 =
EXAMPLE
Ifm.27 - 38° and m210 = 102, find each measure.
a. mZ1 =
..MZ6
km213
10
b. m.22
g.M.ZB
Lm.214 =
c.m.23
h. m29
m.m415
13 14
16
d.m24
I. m211 =
n. 216
e. m.25
J. M212=
I m.22 41, m.2594, and m.210 = 109, find each measure,
EXAMPLE 7
a. mZ1 =
d. m.26
9. m29
b.MZ3 =
c.m.27 -
c. m.24
1. M.Z8 =
Answer:
thank You for your points rhis is the answer kf
Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle
Answer:
parallelogram
hexagon
octagon
rectangle
Step-by-step explanation:
Answer:
parallelogram
hexagon
octagon
rectangle
Please answer my question and give me the explanation clearly.I will give you more points
Use a number line to show your work as you find the value of each expression
a. -5 + 3.25
b.3.18+(-7)
For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75
Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82
For the expression -5 + 3.25
The number line contains both negative and positive values. negative numbers are to the left of the line while positive values are to the right of the line
For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75
Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82
Learn more here: https://brainly.com/question/15816805
Based on What you learned about economics of organic produce, explain why buying organic food is so expensive
Answer:(:
Step-by-step explanation:
Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.
please help me with this work
Answer:
Here is question number one's perimeter and area.
The points you are giving are really low so I will just do one
Help pls the photo is up
Answer:
here it is plz mark me as brainliest
Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=
Check the image below