1. Suppose that the time required to drive across town is uniformly distributed between 12 and 20 minutes. What is the simulated (average)
time to cross town using the following random numbers: 0.21 0.53 0.05 0.89 015 0.73 0.06 0.28 0.81 0.74 (rounded to 2 decimal place)
Using the mean concept, it is found that the simulated average time to cross town is of 0.445.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, the 10 values of the simulation are given by:
0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74
Hence, the mean is given by:
M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.
More can be learned about the mean concept at https://brainly.com/question/24628525
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A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get?
Answer:
$5.02
Step-by-step explanation:
$2.49 × 2 = $4.98
$10 - $4.98 = $5.02
is -0.25 rattional or irrational
what two numbers have a sum of 4 and product of 24
Answer:
There isnt a whole number to awser this
Step-by-step explanation:
A rectangle has a width that measures 11 in. and a length that measures 5.5 in.
Determine the area of the rectangle.
Answer: 60.5 in
Step-by-step explanation:
Area of rectangle = length times width
Length = 5.5 in
Width = 11 in
11 x 5.5 = 60.5
The area of the rectangle is 60.5 in
Which is an example of an isosceles right triangle?
Answer:
D.
Step-by-step explanation:
An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)
Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4?
Answer:
She had a total of 80 throws.
Step-by-step explanation:
4x20 (20x5%=100%) = 80, so she had 80 throws.
A pane of antique glass has dimensions of 30cm x 56cm. If the glass sells for 25 cents per square cm, what is the cost of the pane?
Given :-
Dimensions of pane is 30cm×56cmCost of pane per square cm is 25 centsTo find :-
Cost of the paneSolution:-
Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents
Area of pane :- 30×56cm²
Area of pane :- 1680cm²
Cost of pane :- 1860×25 cents
Cost of pane :- 42000 cents or 420$
a number minus 4 is less than thirteen
On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?
Answer: you will get 45
Step-by-step explanation:
If you do 9x5=45 and 11x5=55
So the answer would be 45
Please Help with this...
Answer: 3
Step-by-step explanation:
3. x² +(y + 2)2 = 64
Center:
Radius:
Answer:
Center: (0, -2)
radius: 8
Explanation:
Given equation: x² + (y + 2)² = 64
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) are points of center. r denotes radius
So rewrite the equation in circle formula:
x² +(y + 2)² = 64
(x- 0)² +(y + 2)² = 8²
Identify followings:
h = 0, k = -2, radius = 8
14. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
What's the distance between (0,2) and (0,8)?
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
Please help I will give you so much points
Answer:
∠[tex]DEC[/tex]
Step-by-step explanation:
vertical angles are opposite angles that are made by 2 intersecting lines
According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseline 10 x squared 2 f (x) = 5 x superscript 5 baseline 3 x superscript 4 baseline 12 x cubed 7 x squared minus 2 x 15 f (x) = 6 x superscript 5 baseline x cubed minus 4 x squared x minus 5 f (x) = 7 x superscript 6 baseline 3 x cubed 12
The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
According to the fundamental theorem of algebra.
The polynomial function has only exactly 6 roots.
The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.
If the degree of the variable is n then the number of the roots will be n or less than n.
If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.
Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.
More about the Algebra link is given below.
https://brainly.com/question/953809
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What is the solution to the equation below?
Answer:
X=4
Step-by-step explanation:
The solution is in the file
In a cafe, there are 5 women, 4 men, and 2 employees. Write the following reports:
a) between women and men
b) between men and employees
c) between customers and employees
d) between women and the total number of people in the cafe
e) between men, employees and women
The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10
Answer:
n ≤ 4
Step-by-step explanation:
"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3
n-7 ≤ -3
Add 7 to both sides
n ≤ 4
Answer is n ≤ 4
See picture attached for the math
Choosing a Nonexample
Quick
Check
Which solid is not a pyramid?
ΑΔΑ
A
3x+4=25 what does x stand for
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
How do I solve this with a fraction?
Answer:
75°
Step-by-step explanation:
x° and (x/5)° are complementary angles.-> x° + (x/5)° = 90°-> (6x/5)° = 90°-> x° = 90° * 5/6-> x° = 75°Answer:
x = 90
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=90[/tex]
[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]
[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]
[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]
what is the slope of the line that passes through the point (9,4) and (3,9)?
Step-by-step explanation:
m is for slope of the line that passes through
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{9 - 4}{3 - 9} [/tex]
[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]
- On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?
Answer:
8.4
Step-by-step explanation:
Add 8+8+8+9+9=42 then 42/5 equals 8.4
Hope this helps! ;-)
a=2,b=1 and c=4.What is 3ac-a+2b
Step-by-step explanation:
a = 2
b = 1
c = 4
Question:[tex]3ac - a + 2b[/tex]
= Solution ,
= 3 × 2 × 4 - 2 + 2 × 1
= 24 - 2 + 2
= 24 + 2 - 2
= 26 - 2
= 24
hence the answer is 24....
A committee must be formed with 4 teachers and 7 students. If there are 9 teachers to choose from, and 8 students, how many different ways could the committee be made?
NEED THIS TOO GRADUATE PLS HELP
5x - 3y = 16
4x - 2y = 14
The system when solved is
(-3, -13)
(-5, 17)
(5, -3)
(5, 3)
Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?
Answer:
120
Step-by-step explanation:
Use the counting principle.
6 × 5 × 4 = 120
Answer: 120
hi! how do i do this? the answer is 2k
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex] log_{4}x = k \\ \\ \longrightarrow \: log_{4}x = log_{2 {}^{2} }x \\ \\ \longrightarrow \: 2 log_{2}x \\ \\ now , \\ \\ log_{2}x = k \\ \\ \therefore \: 2( log_{2}x) = 2(k) \\ \\ \longrightarrow \: 2k[/tex]
hope helpful ~
WILL GIVE BRAINLIEST 25 POINTS
Congruent?
If so, what property?
Answer:
Yes, by ASA congruence.
Step-by-step explanation:
Solving :
∠DAB = ∠BCD (indicated in diagram)∠ADB = ∠DBC (indicated in diagram)BD = BD (common side)ΔABD ≅ ΔCDBHence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.
[tex]\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's check if the two triangles are } [/tex][tex] \textbf{congruent} [/tex] ~
[tex] \large\textsf{Given information } [/tex]:
[tex] \textsf{Two angles of a triangle is equal to corresponding} [/tex] [tex] \textsf{two angles of another triangle, and they} [/tex][tex] \textsf{have one side in common (should be equal} [/tex][tex] \textsf{for both) } [/tex]
[tex] \textsf{So, after analyzing this information, we can } [/tex][tex] \textsf{conclude that the two triangles are congruent by} [/tex][tex] \textsf{AAS congruency criteria.} [/tex]
[tex] \texttt{[ since two angles are equal and one} [/tex][tex] \texttt{non included side is common/equal ]} [/tex]
