The solution is : the percentage of cars that are driving less than 45 mi/hr is 2.3%
Here, we have,
Since the speeds of cars are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = speeds of cars
µ = mean speed
σ = standard deviation
From the information given,
µ = 55 mi/hr
σ = 5 mi/hr
The probability that a car is driving less than 45 mi/hr is expressed as
P(x < 45)
For x = 45
z = (45 - 55)/5 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
Therefore, the percentage of cars that are driving less than 45 mi/hr is
0.023 × 100 = 2.3%
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is 3/7 in lowest terms
Answer:
Yes
Step-by-step explanation:
Yes because because you can't simplify it more and it's just in fraction form decimal form the answer would be 0.42857142857143.
if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)
Answer:
p(A) + p(B)
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.
As such, if A and B are two events, the probability of occurrence of either A or B is given as
= p(A) + p(B)
where p(A) and p(B) are the probabilities of A happening and B happening respectively.
find the value of Tan 45°
Answer:
The exact value of tan(45°) is 1
Step-by-step explanation:
I hope it's helpful!
!!! PLEASE HELP FAST !!
please help me with one a two :)
Answer:
Question 1Function given:
y = x² + 4x - 4In the vertex form:
y = x² + 4x + 4 - 8 = (x + 2)² - 8Axis of symmetry is the vertical line passing through the vertex.
The vertex is
(-2,-8)Axis of symmetry is
x = -2y- intercept is
x = 0 ⇒ y = -4, so the point (0, -4)Two other points are
x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)See the graph with all the points plotted
Question 2Function given:
y + 2x² - 4x - 6 = 0In standard form:
y = -2x² + 4x + 6In vertex form:
y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8The vertex:
(1, 8)Axis of symmetry is
x = 1y - intercept
x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)Two other pints:
x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)The graph is attached with the points plotted.
What is the value of 21/8 divided by 3/4.
Find the value of x.
Answer:
64
Step-by-step explanation:
Answer:
The answer is 61˙
Step-by-step explanation:
The total trapezoid is supposed to equal to 360
100 + 130 + 66 + x
230 + 66 + x
299 + x
360 - 299 = 61
What is the average rate of change in temperature from February to May?
Answer:
27 degrees
Step-by-step explanation:
Lowest common multiple of 16 and 32?
Answer:
4
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
I will mark you as brainliest if you get the question right
Answer:
103
Step-by-step explanation:
x = 180-77 = 103
because it's a straight line, so 180 - 77 to find x
4x-y=10
y=2
Pls show work will give Brainlyest
Answer:
give y is equal to 2
substituting the value of y, we get
4x -y = 10
4x=10 +2
4x=12
x=12÷4
therefore x =3
a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]
[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]
[tex] V_{box} =l^3 [/tex]
[tex] V_{box} =(10)^3 [/tex]
[tex] V_{box} =1000\: In^3 [/tex]
Percentage of the space in the box occupied by the ball
[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]
[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]
[tex] = \frac{1570}{3000} \times 100 [/tex]
[tex] = \frac{157}{3} [/tex]
[tex] = 52.33\% [/tex]
What is the great common factor between 68 and 54?
Answer:
2
Step-by-step explanation:
Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?
Answer:
1 if u cut all of them in half
Step-by-step explanation:
You earn 3.5% commission as a car salesperson. If your sales for the month of February amount to $42,500, how much commission pay should you earn?
Answer:
$43987.50
Step-by-step explanation:
3.5% of $42,500 is
(3.5 x 42500):100 = $1487.5
So, add that number onto the price of the sales from feb.
HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!
Answer:
the last one on the bottom
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
Write the word sentences as an equation! Half of a number q is 14.
Answer:
q/2=14I hope this helped you :)
Which expression is equivalent to -32^3/5?
Answer:
the first one
Step-by-step explanation:
10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
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Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55
Answer:
6.82.26v375 is the descreasing order
Answer:
it is c, 6.82 2pi 55/9 sq37
Step-by-step explanation:
Guys please help! It would mean a lot if you guys tell me how did u get the answer as well.
Answer:
[tex]24a^{9}b^{4}[/tex] , so I believe the first option!
Step-by-step explanation:
6 x a to the 7th x b to the 3rd x 4 x a to the second x b =
6 x 4 x a to the (7 + 2) power x b to the (3+1) power =
[tex]24a^{9}b^{4}[/tex]
Hope that helps!
Answer:
24a^9b^4
Step-by-step explanation:
When finding the area of a rectangle, you need to multiply the length by the width:
(6a^7b^3)(4a^2b)
6 times 4 is 24.
When we multiply exponential numbers, we add their exponents:
(a^7)(a^2)=a^9
and
(b^3)(b^1)=b^4
So our completed answer is:
24a^9b^4
HTH :)
What types of numbers are Irrational numbers? A)Whole Numbers (positive and negative) B)Repeating Decimals C)Decimals that Terminate D)Decimals that never end
Answer:
Whole numbers, repeating decimals, and decimals that never end
Step-by-step explanation:
Evaluate 4x - 2y when x= -5 y= -3
Answer:
-14
Step-by-step explanation:
4x-2y x=-5 y=-3
4(-5) -2(-3)
-20+6
-14
If its correct i will appreciate brainliest
Answer:-14
Step-by-step explanation:
4x-2y x=-5 y=-3
4(-5) -2(-3)
-20+6
-14
Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points
Answer:
14 points in between
Step-by-step explanation:
just count how many spaces are in between those points on the graph
Select the correct answer.
The table represents quadratic function g. Which statement is true about the function?
-5
-4
-3
-2
-1
0
- 1
0
-1
-4
-9
- 16
A.
The maximum occurs at the function's x-intercept.
B.
The minimum occurs at the function's x-intercept.
C.
The maximum occurs at the function's y-intercept.
D.
The minimum occurs at the function's y-intercept.
find the measure of the angel x
Answer:
80°+30°=180°
=110=180
x=70°
answer
Answer:
80 - 30 = 50
Step-by-step explanation:
bcz sum of two interior angle is equal to one exterior angle
round 3 2/3 to the nearest whole number
Answer:
3 2/3 can be converted into proper fraction like this
3*3+2←numerator
3 itself ← denominaor
So, we have 11/3
Nearest to 11/3 will be 4
What is the height of a right triangle if its other two sides are 30 centimeters and 10 centimeters long?
Answer:
Step-by-step explanation:
It depends on whether the 30 cm side is the hypotenuse, or one of the legs.
If the 30 cm side is the hypotenuse, then the third side is √(30^2-10^2) = √800 = 20√2 cm
If the 30 cm side is one of the legs, then the hypotenuse is √(30^2+10^2) = √1,000 = 10√10 cm
9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.
Answer:
C
Step-by-step explanation:
Darby's equation in slope-intercept form: y = 4x + 6
Where,
Slope (m) = 4
y-intercept (b) = 6
Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.
Slope (m) using (0, 6) and (2, 14)
Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2
Slope (m) = 4
y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.
Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6
Both will have the same line.
David needs to travel 111 kilometers. Driving at a constant rate, he expects the trip to take him 3 hours. At what constant rate does David expect to drive?
Answer:
37 i got it right on the test
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
i just got it right
Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır
Step-by-step explanation:
bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar