Answer:
you have a 50% chance of getting an odd number and a 60% chance of getting a number less than 26.
Step-by-step explanation:
Between 1 and 40 there are 20 odd numbers
20÷ 40 x 100=50, This means you have a 50% (20:20) chance of getting an odd number.
Between 1 and 40 there 25 numbers less than 26
15÷25 x 100=60, This means you have a 60% (25:15) chance of getting a number under 26.
Final answer:
The probability of drawing an odd ticket or a ticket numbered less than 26 from a bag containing 40 numbered tickets is 4/5 or 0.8, meaning there is an 80% chance to draw such a ticket.
Explanation:
To find the probability of drawing an odd ticket or a ticket numbered less than 26 from a bag containing tickets numbered 1-40, we need to consider the total number of favorable outcomes for each separate event and be careful not to double-count any outcomes that satisfy both conditions.
Firstly, there are 20 odd numbered tickets (1, 3, 5, ..., 39) which satisfy the first condition. For the second condition, there are 25 tickets that are numbered less than 26 (1, 2, 3, ..., 25).
However, half of the tickets less than 26 are odd (1, 3, 5, ..., 25), which we've already counted. So, we should only add the even numbered tickets that are less than 26 to get the total number of favorable outcomes. There are 12 even numbered tickets less than 26 (2, 4, 6, ..., 24).
Adding the odd numbered tickets (20) to the unique even numbered tickets less than 26 (12), we get a total of 32 favorable outcomes.
Since there are 40 tickets in total, the probability of drawing a ticket that is either odd or less than 26 is 32/40.
To simplify, divide both numerator and denominator by their greatest common divisor which is 8, giving us 4/5 or 0.8, which means there's an 80% chance of drawing a ticket that meets the criteria.
Solve the following equation algebraically
x^2=192
Answer:
13.8564
Step-by-step explanation:
The square root of 192 is about 13.8564 meaning that 13.8564^2≈192
Answer:
B -13.86, 13.86
Step-by-step explanation:
Edge
If P = (6,5) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x – 4)2 + (y - 3)2 = [?]
Answer:
(x – 4)^2 + (y – 3)^2 = 8
Step-by-step explanation:
The square of the diameter will be 4 times the square of the radius. The square of the diameter is the sum of squares of differences of coordinates of P and Q:
d^2 = |PQ|^2 = (2 -6)^2 +(1 -5)^2 = 16 +16
d^2 = 32
4r^2 = 32 . . . . . substitute 4r^2 for d^2
r^2 = 8 . . . . . . . divide by 4 to find r^2
The equation of a circle centered on (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The given equation tells us the center is (h, k) = (4, 3), so we need only fill in the value of r^2.
(x -4)^2 +(y -3)^2 = 8
For which equation is (4, 3) a solution?
O y=2x-1
Oy=3x-4
Oy=2x-5
Oy= x + 3
Answer:
Given question is incomplete; here is the complete question.
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
y = –1/3x + 5
y = –1/3x + 3
y = 3x + 2
y = 3x − 5
Line given in the graph passes through the points (-3, 2) and (0, 1).
Slope of the given line =
m =
m =
Let the equation of a line perpendicular to this line is,
y - y' = m'(x - x') [Given line passes through (x', y')]
By the property of perpendicular lines,
m × m' = -1
() × m' = -1
m' = 3
Equation of the perpendicular line will be,
y - 4 = 3(x - 3)
y - 4 = 3x - 9
y = 3x - 5
Option (4) will be the answer.
Step-by-step explanation:
The Equation whose solution is (4, 3) is y = 2x - 5
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
we have to put x= 4 and y= 3 in each equation.
1. y= 2x- 1
2x- 1 = 2(4)- 1 = 8- 1 = 7
y = 3
2. y = 3x - 4
3x - 4= 3(4) - 4 = 8
y= 3
3. y = 2x - 5
2x- 5 = 2(4) - 5 = 3
y= 3
4. y = x+ 3
x+ 3 = 4 + 3 = 7
y= 3
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A cylinder has a height of 19 feet and a radius of 6 feet. What is the volume. Use 3.14 as pi and round the answer to the nearest hundredth
ANSWER:V≈2148.85.I hope this helps!!
HELP PLEASE!
Which shows a correct way to determine the volume of the right rectangular prism?
4 cm
6 cm
13 cm
O 3+6 + 4 = 13 cm
2(3 + 6 + 4) = 26 cm
4(3) + 6 = 18 cm
3(6)(4) = 72 cm
Answer:
3(6)(4) = 72 cm
Step-by-step explanation:
The volume of a rectangular prism = Length * Width * Height
Substitute your values into the equation and solve for V
V = 3 * 6 * 4
V = 72 [tex]cm^{2}[/tex]
Answer:
d.72
Step-by-step explanation:
volume = area of base *height = 4*3 * 6
PLEASE HELP I DONT UNDERSTAND I WILL MARK BRAINLIEST 5STARS AND HEART
Answer:
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Step-by-step explanation:
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Maria and Jeff collect data on the number of cars that pass through an intersection every Monday morning for 2 months. They record the findings as 78, 158, 63, 71, 56, 67, 75, and 64. They each use different methods to summarize the typical number of cars that pass through the intersection at the specified time and compare their findings. Jeff says that, on average, 79 cars pass through the intersection each Monday morning. Maria disagrees and says that the mean should not be used and uses the median instead to describe the typical number of cars that passes through the intersection on any given Monday morning.
A) What is the median value of the data?
Final answer:
The median value of the car counts recorded by Maria and Jeff is calculated by first ordering the data and then finding the average of the two middle numbers, leading to a median of 69 cars passing through the intersection.
Explanation:
The median is a measure of central tendency which is used when the data set has outliers or is not symmetrically distributed. To calculate the median of Maria and Jeff's data which includes the number of cars that pass through an intersection, we first need to arrange the data set in ascending order: 56, 63, 64, 67, 71, 75, 78, and 158. Since there are eight numbers, we take the average of the two middle numbers (67 and 71).
To find the median, we add 67 and 71 to get 138 and then divide by 2, which results in a median of 69 cars. Thus, according to Maria's method, on average, a typical number of cars that would pass through the intersection on a Monday morning would be 69.
What are the domain and range of f(x)=(1/6)x+2
Answer:
That should be right
Step-by-step explanation:
The domain of f(x) = (1/6)x + 2 is all real numbers, and the range is also all real numbers.
Explanation:The given function is f(x) = (1/6)x + 2.
The domain of a function is the set of all possible input values. In this case, since there are no restrictions on x, the domain is all real numbers.
The range of a function is the set of all possible output values. The function is a linear function with a positive slope, which means as x increases, f(x) also increases. Therefore, the range is also all real numbers.
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Louise sold 340 soft pretzels. If she sold them in groups of 17 soft pretzels, how many groups did she sell? A. 22 B. 20 C. 19 D. 21
Answer:
she sold 20 pretzels 340/17 =20
Step-by-step explanation:
A kangaroo hop 3520 yards to the lake with her baby in her pouch shop the remaining 5280 hours without her baby in her pouch how many miles did the kangaroo hop to the lake
Answer:
The kangaroo hopped a total of 5 miles to the lake.
Explanation:
To convert yards to miles, we can use the conversion factor that 1 mile is equal to 1760 yards.
So, to find out how many miles the kangaroo hopped to the lake, we first sum the distance with and without the baby in her pouch:
Total distance = Distance with baby + Distance without baby
Total distance = 3520 yards + 5280 yards
Total distance = 8800 yards
Now, we convert this total distance to miles:
Total distance in miles = Total distance in yards / 1760 yards/mile
Total distance in miles = 8800 yards / 1760 yards/mile
Total distance in miles = 5 miles
Therefore, the kangaroo hopped a total of 5 miles to the lake.
Amanda, Ben, and Carlos share a sum of money. Their portions are in the ratio of 1:2:7, respectively. If Amanda's portion is $20, what is the total amount of money shared
Answer:
200
Step-by-step explanation:
If Amanda, Ben and Carlos share a sum of money in the portions of 1:2:7, that means that the minimum value is $20. So times 20 by the other probabilities and add them together.
Answer:$200
Step-by-step explanation:
20÷1=20
20×2=40
20×7=140
140+40+20=200.
Evaluate the expression. 5^0*5^3
Answer:
125
Step-by-step explanation:
i had this question and it said it was right so..
A cheetah can run 56 miles per hour. At that rate, a cheetah can run 27 miles in 15 minutes.
True
False
Answer:
false, they can run 14 miles in 15 minutes
Step-by-step explanation:
56 divide by 4 = 14
60 divided by 15 = 4
Which statement is true about the audience for On
Women's Right to Vote?
Anthony is trying to appeal to women, men, and
lawmakers
Anthony is trying to appeal to women only
Anthony is trying to appeal only to men who vote.
Anthony is trying to appeal to judges.
Answer:
The First option) Anthony is trying to appeal to women, men, and lawmakers.
Step-by-step explanation:
Just took the assignment.
Good luck with the rest!
Three solutions of the equation Ax + By = Cz - 14 are
(-3,- 3, 2), (4, 1, -13), and (6.-2, -9). Find A, B, and C.
An astronomer knows the distances from herself to stars A and B as well as the distance between them.
The distances are 450, 400, and 90 light years (1.y.) respectively.
If the astronomer's telescope is currently pointed at star A. how many degrees must she rotate her
telescope to see star B?
Do not round during your calculations. Round your final answer to the nearest degree,
B
90
400 l.y.
Astronomer
450 l.y.
Answer:
see attachement
Step-by-step explanation:
A trapezoid was broken into a rectangle and two
triangles
The base of each triangle bis
The area of the rectangle is
The area of each triangle is
The area of the trapezoid is
LIT
Answer:
The base of each triangle B is: 2 ✓
The area of the rectangle is: 4 ✓
The area of each triangle is: 4 ✓
The area of the trapezoid is: 12 ✓
Step-by-step explanation:
Hope I helped, btw I'm following everyone who follows me! :)
Plot the image of point Q under the translation (x,y) (x+1,y+2).
Answer : Point “ Q “ should be on (-4,4) so go over 1 unit to the RIGHT & two units UP so your new points would be ( -3 , 6 ) hope this helps yw / btw .
Step-by-step explanation:
The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)
How to plot the image of point Q under the translation?The translation is given as:
(x,y) -> (x+1,y+2)
The point Q is located at
(-4,4)
So, the image would be:
(x,y) -> (-4+1,4+2)
Evaluate
(x,y) -> (-3,6)
Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)
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evaluate the expression for s=9
72/s
Answer:
8
Step-by-step explanation:
72/s
Let s=9
72/9 = 8
HELP PLEASE
Lee's living room is 7 yards wide and 7 yards long. He wants to install teal carpet that costs $2.00 per square yard. How much will it cost to buy enough carpet for the living room?
Answer:
98.00 Dollars
Step-by-step explanation:
7 x 7=49 square yards
49 x 2.00 = 98.00
Answer:
First find the area
7 x 7 = 49
every yard is $2
49 x 2 = 98
$98
Step-by-step explanation:
What is the common ratio of the geometric sequence below?
625, 125, 25, 5, 1, ...
The common ratio of the geometric sequence 625, 125, 25, 5, 1, ... is 0.2, determined by dividing any term by the preceding term.
The common ratio of a geometric sequence is found by dividing any term by the previous term. In the given sequence 625, 125, 25, 5, 1, ..., to find the common ratio, we can divide the second term (125) by the first term (625), which gives us
[tex]= \frac{125}{625} \\=\frac{1}{5}[/tex].
This ratio is consistent throughout the sequence as each subsequent term is rac{1}{5} of the previous term. Hence, the common ratio for this geometric sequence is 1/5 or 0.2.
Which choices are equivalent to the expression below? Check all that apply
Answer:
d
Step-by-step explanation:
In isosceles △ABC with AC = AB, points D ∈ AB and E ∈ AC so that DB = EC. Point P is the intersection point of DC and EB, m∠ADC = 107°, m∠ABE = 45°. Find m∠BAP.
Please show work.
9514 1404 393
Answer:
14°
Step-by-step explanation:
∠ADP is an external angle to ΔDBP, so ...
∠ADP = ∠DBP + ∠DPB
107° = 45° + ∠DPB
∠DPB = 107° -45° = 62°
∠DPB is an external angle to isosceles triangle PBC, so ...
∠DPB = 2×∠PBC
62° = 2×∠PBC
∠PBC = 62°/2 = 31°
Of course, the angle sum theorem applies at vertex B, so ...
∠ABC = ∠ABP +∠PBC
∠ABC = 45° +31° = 76°
AP is the angle bisector of angle A, so, if extended to BC would be perpendicular to BC. Then ∠BAP is complementary to ∠ABC:
∠BAP = 90° -∠ABC
∠BAP = 90° -76°
∠BAP = 14°
Final answer:
m∠BAP = 124°
Explanation:
Given that △ABC is an isosceles triangle with AC = AB and DB = EC, we can conclude that △ADC and △AEB are congruent triangles by the Side-Angle-Side (SAS) congruence theorem. Therefore, m∠ADC = m∠AEB. Since m∠ADC = 107° and m∠AEB = 45°, we can write:
m∠ADC = m∠AEB
107° = 45° + m∠ABD
m∠ABD = 107° - 45°
m∠ABD = 62°
Since △ABD is isosceles with AB = AD, we have m∠ABD = m∠ADB. Therefore, m∠ADB = 62°. Since m∠BAP is an exterior angle of △ABD, we can apply the Exterior Angle Theorem to find:
m∠BAP = m∠ADB + m∠ABD
m∠BAP = 62° + 62°
m∠BAP = 124°
Place the circles in order from the circle with the largest area to the circle with the smallest area.
a circle with a
diameter of
8 meters
a circle with a
radius of
7 meters
a circle with a
circumference
of 37.68 meters
a circle with a
diameter
of 16 meters
Answer:
a circle with a diameter of 16 meters largest
a circle with a circumference of 37.68 meters
a circle with a radius of 7 meters
a circle with a diameter of 8 meters
Step-by-step explanation:
a circle with a diameter of 8 meters
The radius is 8/2 = 4
A = pi r^2 = 3.14 * 4^2 = 50.24 m^2
a circle with a radius of 7 meters
A = pi r^2 = 3.14 * 7^2 = 153.86 m^2
a circle with a circumference of 37.68 meters
C = 2*pi*r
37.68 = 6.28r r =6
A = 3.14 (6)^2 =113.04
a circle with a diameter of 16 meters
r = d/2 = 8m
A = pi r^2 = 3.14 (8)^2 = 200.96 m^2
Answer:
a circle with a diameter of 16 meters
a circle with a radius of 7 meters
a circle with a circumference of 37.68 meters
a circle with a diameter of 8 meters
Step-by-step explanation:
a circle with a
diameter of
8 meters
A = pi × (8/2)² = 16pi
a circle with a
radius of
7 meters
A = pi × 7² = 49pi
a circle with a
circumference
of 37.68 meters
C = 2pi × r
37.68 = 2pi × r
r = 18.84/3.14 = 6
A = pi × 6² = 36pi
a circle with a
diameter
of 16 meters
A = pi × (16/2)² = 64pi
what is the probability of flipping two coins and both landing on heads
Answer:
The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.
Albert is building a table and 4 chairs. He will use 18 nails to build each chair and 42 nails to
build the table. He estimates that he will need roughly 180 nails. Does that sound about
right?
Yes.
No, it is much too high,
No it is much to low
Albert's estimate of 180 nails is much too high since the actual calculation shows that he only needs 114 nails for the table and four chairs.
Explanation:To determine if Albert's estimate of needing roughly 180 nails for building a table and 4 chairs is correct, we should calculate the total number of nails required for this project. For each chair, he will need 18 nails, and for the table, he will need 42 nails.
Therefore, the total number of nails needed for the chairs is:
18 nails/chair × 4 chairs = 72 nailsAnd the number of nails needed for the table is:
42 nailsAdding these together gives us:
72 nails + 42 nails = 114 nailsComparing this with Albert's estimate of 180 nails, we can see that his estimate is much too high.
Solve the inequality 2(4x + 1) < 3(2x - 3)
Answer:
x<-11/2
Step-by-step explanation
Try to isolate the variable by dividing it.
Which expressions are equivalent to -90 – 60w?
Answer:
-30 (2w + 3) is the only one I can figure out.
I hope this helped tho!! :]
Which question is statistical?
What number of feet is equivalent to three miles?
How many miles did your family drive last week?
How many miles are between the library and the post off
How many miles does each member of the biking club ri
Answer:
How many miles does each member of the biking club ri de>
Step-by-step explanation:
This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.
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Represent the espression “A number, x, decreased by the sum of 2x and 5” algebraically.