Answer:
(a) 720
(b) 180
Step-by-step explanation:
We are given 10 numbers (1,2,3,4,.....,10).
(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.
Number of ways to choose the 1st number = 10
Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)
Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)
Total number of ways of choosing 3 unique numbers = [tex]10 \times 9 \times 8 \Rightarrow 720[/tex]
(b)
Number of ways of choosing 1st number = 10 (no restrictions)
Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)
Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.
So, number of ways to choose 3rd number = 2
the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =
[tex]10 \times 9 \times 2 \Rightarrow 180[/tex]
Hence, the answers are:
(a) 720
(b) 180
How do I do this? I'm really confused. I'm probably gonna post another question soon as well
Step-by-step explanation:
The number of students who jog and have one sibling who jogs is 416.
The total number of students who have one sibling who jogs is 1823 + 416 = 2239.
So the probability that a student jogs if they have one sibling who jogs is 416/2239 = 0.186.
The number of students who jog and have two siblings who jog is 400.
The total number of students who have two siblings who jog is 1380 + 400 = 1780.
So the probability that a student jogs if they have two siblings who jog is 400/1780 = 0.225.
Therefore, a student is more likely to jog if they have two siblings who jog than one sibling who jogs.
Find the surface area of the cylinder. Use 3.14 for pi and round your answer to the nearest tenth.
A.282.6 ft
B.439.6 ft
C.394.1 ft
D.553.4 ft
Answer:
B.
Step-by-step explanation:
[tex]2\pi *5*9+2\pi* 5^2[/tex]
[tex]2*3.14*5*9+2*3.14*25=439.6[/tex]
Help?Find the product.
(a - b)(a – 7b)
Answer:
all work shown and pictured
55 men can finish a piece of work in 42 days. How many additional men must be added to complete the work 9 days earlier.
[tex]55 . 42 = x . 33\\55 . 14 = 11 . x\\x = 5 . 14 = 70\\70 - 55 = 15[/tex]Answer:
Step-by-step explanation:
The additional men required to complete this work 9 days earlier will be 15.
What is work time?In time and work, we need to calculate the time required to complete a unit of work and find work done in a described period of time. Its known the amount of work done by a person varies directly with the time taken by them to complete the work on time.
Given that work was done by 55 men in 42 days
55 men ⇔ 42 days
Rate of work by 1 man ⇔ 1/(55×42)
Rate of work by 1 man ⇔ 1/(2310)
Now by adding N number of people the work need to complete 9 days earlier than 33 days.
Rate of work by 1 man ⇔ 1/[(55+N)×33]
Since the rate of work by 1 man will be the same for both cases
1/(2310) = 1/[(55+N)×33]
N = 15 hence,15 men additional required to complete the work 9 days earlier.
For more information about work time
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Given the point A(-3, 5), find the image after performing the following two transformations First: Translation (x, y) -> (x, y - 4) Reflection: in the y - axis. PLEASE HELP.
Answer:
A' (3,1)
Step-by-step explanation:
You start with (-3,5)
Translation Down 4: (-3,1), just subtract 4 from the y-coordinate
Reflection over the y-axis: (3,1), multiply -1 to the x-coordinate
Solve for b. ab + c = d b = b = a + b =
Answer:
b. ab + c = d b = a + c/d b = a/(c - d) b = (d - c)/a
Step-by-step explanation:
how do I solve this?
Step-by-step explanation:
(i) Use law of cosine:
c² = a² + b² − 2ab cos C
c² = (√3 − 1)² + (√3 + 1)² − 2(√3 − 1)(√3 + 1) cos 60°
c² = 3 − 2√3 + 1 + 3 + 2√3 + 1 − 2(3 − 1) (½)
c² = 6
c = √6
(ii) Use law of sines:
a / sin A = c / sin C
(√3 − 1) / sin A = √6 / (½√3)
(√3 − 1) / sin A = 2√2
½ (√3 − 1) = √2 sin A
½ (√6 − √2) = 2 sin A
¼ (√6 − √2) = sin A
Use a calculator:
A = 15°
(iii) Use SAS area:
A = ½ ab sin C
A = ½ (√3 − 1) (√3 + 1) sin 60°
A = ½ (3 − 1) (½√3)
A = ½√3
QUESTION 3 of 10: You have a $112,000 adjustable rate mortgage that was 8% per year. You were just notified that next year it is going up to
13%. What is the annual dollar difference between the old and newly adjusted interest rates if your balance stayed the same at $112,000?
a) $1,120
b) $1,253
c) $5,600
d) $8,960
Based on the information given, the annual dollar difference will be C. $5600.
Based on the information given, the annual dollar difference will be calculated as follows:
= (13% × $112000) - (8% × $112000)
= (0.13 × $112000) - (0.08 × $112000)
= $14560 - $8960
= $5600
In conclusion, the correct option is $5600.
Learn more about percentages on:
https://brainly.com/question/14323743
A) 350cm2
B) 1000cm2
C) 170cm2
D) 1200cm2
Answer:
1200 cm^2
Step-by-step explanation:
There are four 10 cm by 25 cm sides; the total area of these sides is
4 (10 cm) (25 cm) = 1000 cm^2.
There are two ends; the total area of these is 2 (10 cm) (10 cm) = 200 cm^2.
Thus, the total surface area is 1000 cm^2 + 200 cm^2, or 1200 cm^2 (Answer A).
which of the following is a geometric sequence?
The key thing to look for to determine whether a sequence is geometric is to see whether the ratio between consecutive terms - the number I would multiply one term by to get the next - is constant.
By inspection, we see that the fourth answer choice satisfies that, as [tex]\frac{81}{27}=\frac{27}{9}=\frac{9}{3}=\frac{3}{1}=3.[/tex] Why not the first? We have [tex]2=\frac{12}{6}\ne\frac{6}{2}=3.[/tex]
The third choice is not a geometric sequence, but rather an arithmetic sequence, where the difference between consecutive terms is constant. Just to make sure that it isn't geometric, we compute [tex]\frac{14}{9}\ne\frac{9}{4}.[/tex]
The second sequence is not geometric (although it does eventually converge to 1, but not its corresponding series), as [tex]\frac{4}{3}=\frac{2/3}{1/2}\ne\frac{3/4}{2/3}=\frac{9}{8}.[/tex]
Answer:
its D
Step-by-step explanation:
Can someone plz help?
Answer:
x = 12 in ; Type in 12 in the box
Step-by-step explanation:
If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,
Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;
Area of Triangle = 1/2 * base * height,
60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,
60 in^2 = 5 in * x in ⇒ divide either side by 5 in,
12 in = x in ⇒ divide either side by inches,
x = 12 inches,
Solution; x = 12 in
The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). What is the constant of variation for the subscription cost based on the number of weeks? $1.50 $7.50 $15.00 $30.00
Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)[/tex]
By substituting values for x1,x2,y1 and y2; the gradient becomes
[tex]m = \frac{8 - 2}{5 - 1}[/tex]
[tex]m = \frac{6}{4}[/tex]
[tex]m = \frac{3}{2}[/tex]
[tex]m = 1.50[/tex]
Hence, the constant of variation is $1.50
Answer:
A
Step-by-step explanation:
Brin was making a bird house for the chickadees. How much birdseed will it take to fill the birdhouse? 80 cm3 240 cm3 320 cm3 400 cm3
Answer:
320cm³ (option C)
Step-by-step explanation:
The complete image of the question can be found in:
https://brainly.com/question/16820683
Volume of bird house = volume of a cuboid + volume of a triangular prism
Volume of a cuboid = length × breadth × height
= 8cm × 5cm × 6cm = 240cm³
Volume of triangular prism = ½ base ×height ×length
= ½ × 8×4×5 = 80cm³
Volume of bird house = 240+80
Volume of bird house = 320cm³
Amount of birdseed that will it take to fill the birdhouse = Volume of bird house = 320cm³
Find the
measure
of X
[tex]x+50+x=180\\2x+50=180\\2x=180-50\\2x=130\\x=65[/tex]
Here is a map of a town.
The map shows a centimetre ruler.
2 km is represented by 1 cm.
Find the real-life distance between the ice rink and the museum.
Answer:
4km
Step-by-step explanation:
2x2=4km
Find the circumference of the circle. Round to the nearest hundredth.
Answer:
50.27 cm
Step-by-step explanation:
Circumference=πd=π·16≈50.26548 cm
Answer:
50.27cm
Step-by-step explanation:
[tex]C=2\pi r=2*\pi *8=50.26548\\=50.27cm\\[/tex]
Simplify to create an equivalent expression (2j+1)9-7j
Answer:
Simplifying
(2j + 1) * 9 + -7j = 0
Reorder the terms:
(1 + 2j) * 9 + -7j = 0
Reorder the terms for easier multiplication:
9(1 + 2j) + -7j = 0
(1 * 9 + 2j * 9) + -7j = 0
(9 + 18j) + -7j = 0
Combine like terms: 18j + -7j = 11j
9 + 11j = 0
Solving
9 + 11j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 11j = 0 + -9
Combine like terms: 9 + -9 = 0
0 + 11j = 0 + -9
11j = 0 + -9
Combine like terms: 0 + -9 = -9
11j = -9
Divide each side by '11'.
j = -0.8181818182
Simplifying
j = -0.8181818182
Answer:
11j + 9
Step-by-step explanation:
(2j + 1)9 - 7j
or
9(2j + 1) - 7j
18j + 9 - 7j
18j - 7j + 9
11j + 9
Given ΔADC and ΔAEB, What is AE?
Answer:
As shown in picture,
EB is perpendicular with AC
DC is perpendicular with AC
=> EB // DC
Applying Thales theorem:
BC/AC = ED/AD
=> AD = ED x AC/BC = 72 x 88/55 = 115.2
=> AE = AD - ED = 115.2 - 72 = 43.2
Hope this helps!
:)
262.5=10.5x+24x
How can I solve this?
Answer:
x=7.608696
Step-by-step explanation:
Simplify both sides of the equation.
262.5=10.5x+24x
262.5=(10.5x+24x)(Combine Like Terms)
262.5=34.5x
262.5=34.5x
Step 2: Flip the equation.
34.5x=262.5
Step 3: Divide both sides by 34.5.
34.5x
34.5
=
262.5
34.5
x=7.608696
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below and answer the following question. What is the mean number of apples in a box? answer all questions
Answer:
Frequency: 20
A.F: 650
Mean: 30
Step-by-step explanation:
Frequency and A.F were just sums of the values mentioned for each
The mean:
Definition: the average of a data.
Formula: sum of numbers divided by the number of numbers
Answer: (28 x 2 + 29 x 4+ 30 x 8 + 31 x 4+ 32 x 2) divided by 20 = 30
Hope this helps
A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. a) complete the Venn Diagram. b) How many students study ONLY French c) How many students study Spanish?
Answer:
a) Find attached the completed Venn diagram (2nd diagram)
b) 25
c) 46
A related Question found at brainly (ID 16765143):
A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages.
a) Complete the Venn diagram.
b) How many students study only french?
c) How many students study Spanish?
Step-by-step explanation:
Find attached the Venn diagram (1st diagram)
a) Total number of students in college = 80
Since 71 out of the 80 students surveyed studies at least one of the two languages, the number of students that studied neither French nor Spanish = 80-71 = 9
From the venn diagram:
Number of students that study Spanish = 14
Number of students that study French = 25
We need to determine if the values are for Spanish only and French only respectively or for at least Spanish and French respectively.
Estimated value for the middle term = 80-(14+25+9) = 32
From the above calculation, the number of students that study both Spanish and French is 32 and it is more than each set value. This implies the value given in the Venn diagram is for Spanish only and French only respectively.
Let number of students that study both Spanish and French = x
Spanish only = 14
French only = 25
the number of students that studied neither French nor Spanish = 9
Total:
14 + 25 + x + 9 = 80
48 + x = 80
x = Number of students that study both Spanish and French = 32
b) French only = 25
c) Number of students that study Spanish = students that study at least Spanish
= 14+x = 14+32
Number of students that study Spanish = 46
What is the mode of the following numbers?
4,9,6, 3, 4,2
Answer:
4
Step-by-step explanation:
Whichever number appears the most in the list of numbers which in this is 4
A candy jar contains flavored jelly beans. There are 7 orange, 9 cherry, 3 lemon, 15 licorice, and 6 blueberry. Find the probability of choosing two cherry jelly beans in a row (the first jelly bean is not replaced). PLEASE HELP!!!
Answer: 0.046
Step-by-step explanation:
From the question,
orange jelly beans= 7
Cherry jelly beans =9
Lemon jelly beans = 3
Licorice jelly beans = 15
Blueberry jelly beans = 6
Total jelly beans = 40
The probability of choosing the first cherry jelly beans will be = 9/40
After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39
The probability of choosing two cherry jelly beans in a row will be:
= 9/40 × 8/39
= 72/1560
= 0.046
i am gurman i have 2 cats igot 1 more how many do i have
Answer:
3 cats
Step-by-step explanation:
You have 2 cats
You buy 1 more
You have 3 cats
Answer:
you have none you, Gurman have put an end to them with your ignorance.
Step-by-step explanation:
2 + 1=3 + Gurman = 0 cats
Find the measure of the angle O. (Remember, you are finding the actual angle measure, not the ratio.)
Round to the nearest tenth.
Answer:
Θ ≈ 22.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex] , thus
Θ = [tex]cos^{-1}[/tex] ([tex]\frac{12}{13}[/tex] ) ≈ 22.6° ( to the nearest tenth )
Lorie correctly determines that for the triangles below, the statement Triangle N M O is similar to triangle T S R and the statement Triangle N M O is similar to triangle T R S both describe the relationship between the two triangles. Triangle M N O. Angle M is 54.4 degrees and angle N is 71.2 degrees. Triangle R S T. Angle R is 54.4 degrees and angle T is 71.2 degrees. Which best describes why both similarity statements are correct? Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S. Each triangle has two similar angles: Angle M is similar to angle O and Angle R is similar to angle S. The triangles each have two given angle measures and one unknown angle measure. All statements, regardless of the order of the vertices, define the same triangles.
Answer:
(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.
Step-by-step explanation:
In Triangle MNO
[tex]\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]
In Triangle RST
[tex]\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]
Therefore:
Triangle NMO is congruent to triangle TSR; and
Triangle NMO is congruent to triangle TRS
This is because
[tex]\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .[/tex]
The correct option is A.
Answer:
A
Step-by-step explanation:
Just did the test.
Any answers plz and thank u
Answer:
a²-6=b
Step-by-step explanation:
[tex]a=\sqrt{b+6}[/tex]
taking square on both sides
a²=(√b+6)²
square root will be cancelled by square
a²=b+6
a²-6=b
Answer:
[tex]b= a^{2} -6[/tex]
Step-by-step explanation:
[tex]a = \sqrt{b+6}[/tex]
→ First square both sides to get rid of the root
[tex]a^{2} =b+6[/tex]
→ Minus 6 from both sides to isolate b
[tex]a^{2} -6=b[/tex]
→ Or
[tex]b= a^{2} -6[/tex]
Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 74%
Answer:
0.00456
Step-by-step explanation:
Given: Percentage of free throws = 74%
Required: What is the probability of Glen Davis making none of his next 4 free throw attempts?
Since, there is a free throw 74% of the time, thus, the time he misses = 26% of the time.
To miss four in a row, it is requires to miss the first throw, the second throw, the third throw and also the fourth throw.
Thus, the probabilities of Gien missing will be multiplied.
By using the probability formula -
P ( MMMM) = 26/100 × 26/100 × 26/100 × 26/100
= 456976/ 100000000
= 0.00456
Therefore, the probability that he will have next 4 free attempts is 0.00456.
What is the slope of the situation?
Answer: 4.2
Step-by-step explanation:
Everytime the x goes up 1, the height goes up 4.2
Answer:
The slope is 4.2 cm per week
Step-by-step explanation:
Take the difference in time and divide by the difference in time
m = (y2-y1)/(x2-x1)
= (20.4-16.2)/(2-1)
=4.2/1
The slope is 4.2 cm per week
What additional information is needed to prove that the
triangles are similar?
To prove AXYZ - AMNO using SSS, you need to
know that
Now that you know the length of XZ, you need to know
that angle O is congruent to v to prove AXYZ- AMNO using SAS.
Can someone explain please!!!
Answer:
Step-by-step explanation:
To prove ΔXYZ ~ ΔMNO using the property of SSS, we need to know that All corresponding sides of these triangles are proportional.
Similarly, If we know the length of side XZ then addition information we need to know that angle O is congruent to angle Z and length of sides YZ, MO and NO to prove ΔXYZ ~ ΔMNO by SAS property.
Angle O is the contained angle between the sides MO and NO.
Answer:
1. MN = 6 and XZ = 17.5
2. angle Z
Step-by-step explanation:
Sorry if this is a late answer but I hope this helps :)
