Answer:
7/12 chance
Step-by-step explanation:
(1 2 3 4 5 6)
(1 2 3 4 5 6)
All the possibilities:
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
There are 18 odd sums.
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
There are 3 possibilities whose sums add up to 10.
Since there are 36 total possibilities and 21 numbers that fit the rule of having an odd sum or a sum of 10. There is a 21/36 chance or simplified, 7/12 chance.
If a sample of 234 customers were taken from a population of 3620 customers, could refer to the variance of how many of the customers' ages?
If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?
A. 234
B. 3620
C. Both 234 and 3620
D. Neither 234 nor
3620
Answer: 234
Step-by-step explanation:
Sample distribution = 234 customers
Population distribution = 3620 customers
S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.
The sample variance is given by:
s^2 = (x - mean) / n - 1
where ;
n = number of observation in sample
s^2 = sample variance
mean = statistical mean of sample data
n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.
The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?
Answer:
23 mSolution,
Let the length of tunnel be 'l'
Area=25 m^2
Volume of tunnel= cross sectional area* length
[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]
Hope this helps..
Good luck on your assignment..
Of the bundles delivered daily to the store, 1/3
consists of the morning edition of The Daily Sun.
Another 2 bundles are made up of the afternoon
edition of the same paper. Of the remaining
bundles, 1/2 is regional, one is a local
newspaper, and one is from another state. How
many bundles are delivered daily to the
bookstore?
Answer:
x=9
Step-by-step explanation:
Let total bundle=x
Morning edition of the daily sun=1/3x
=x/3
Afternoon edition of the daily sun=2
That leaves 2x/3 - 2, of which
x/3 - 1 are regional
1 is local
1 from another state
Sum everything
x = x/3 + 2 + x/3 - 1 + 1 + 1
x=2x/3 +3
x-2x/3=3
3x-2x/3=3
x/3=3
Cross product
x=3×3
x = 9
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x
Answer:
The correct option is;
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
The rule for the reflection across the x-axis is as follows;
Reflection about the x-axis
Pre-image point before reflection = (x, y)
Point of image after reflection = ((x, -y)
Therefore, the x coordinate remains the same while the y coordinate changes sign
For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have
Reflection about the x-axis
Pre-image point before reflection = (x, f(x))
Point of image after reflection = (x, g(x))
Hence g(x) = -f(x) = -2/5(10)x.
Answer:
A
Step-by-step explanation:
Identify the system of inequalities from the following. 3x + y > 2 and 3y 2 and 3y 2 and 3y < 9 4x + y = 2 and 3y < 2m
Answer:
The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m
Please answer it in two minutes
Answer:
21/20, or 1.05.
Step-by-step explanation:
In this case, the measure of angle R is the same as angle V.
To find the tangent of a triangle, you do opposite over adjacent.
So, the tangent of angle V is 21 / 20.
That means that tan(R) = 1.05.
Hope this helps!
Write area square units answer
The rectangle is 13 units long by 6 units wide.
Area = Length x width
Area = 13 x 6 = 78 square units.
Please answer please please
Answer: T
Step-by-step explanation: The vertex is where the two lines meet at the endpoint, meaning that the vertex is always where the lines begin to spread out.
In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group.
Answer:
Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.
Step-by-step explanation:
if x= 3y-2/4, what is the value of y in terms of x?
Answer:
[tex]x = \frac{3y - 2}{4} [/tex]
Multiply through by 4
We have
[tex]3y - 2 = 4x[/tex]
Send 2 to the right side of the expression
That's
[tex]3y = 4x + 2[/tex]
Divide both sides by 3
That's
[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]
We have the final answer as
[tex] y = \frac{4x + 2}{3} [/tex]
Hope this helps you
Answer:
[tex]y = \frac{4x + 2}{3} [/tex]
Step by step explanation
[tex]x = \frac{3y - 2}{4} [/tex](Given)
Multiply by 4 on both sides:
[tex]4 \times x = \frac{3y - 2}{4} \times 4[/tex]
Calculate
[tex]4x = 3y - 2[/tex]
Add 2 on both sides
[tex]4x + 2 = 3y - 2 + 2[/tex]
[tex]4x + 2 = 3y[/tex]
[tex]3y = 4x + 2[/tex]
Divide both sides of the equation by 3
[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]
Calculate
[tex]y = \frac{4x + 2}{3} [/tex]
Hope this helps...
Good luck on your assignment..
Suppose you were deciding on a ticket price for a fundraiser dinner. There may be a temptation to continue to raise the ticket sales to increase the amount of money raised. Sounds like an okay idea to raise the most money possible for a charity. You may have heard of a guest speaker at a fundraising dinner where people are charged $100 a plate or more. What do you think is a realistic price for tickets? What are the consequences of raising the price $50 or $100 to $150 a plate or $200 a plate.
Answer:
$50 per ticket.
Step-by-step explanation:
Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.
The more you raise the price, the less tickets you can sell.
Hope this helps!
which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER
Answer:
B. regular octagon
I hope this will help you
Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso
Answer:
Supongo que tenemos dos ángulos A y B
"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)
A/2 + B/3 = 15°
A/2 = 15° - (B/3)
A = 30° - 2*(B/3)
Ahora queremos calcular:
2*sin(3*A)/cos(2*B)
pero podemos reemplazar A por lo que tenemos arriba:
2*sin(3*(30° - 2*(B/3)))/cos(2*B)
2*sin(90° - 2*B)/cos(2*B)
y como sabemos,
Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)
entonces:
2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.
What is the answer of .7 of which is 3.43
Answer:
4.9
Step-by-step explanation:
3.43/0.7
34.3/7=49
3.43/0.7=4.9
The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.
We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.
We represent "0.7 of x" as 0.7x.
So, the equation becomes:
0.7x = 3.43
To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:
(0.7x) / 0.7 = 3.43 / 0.7
The 0.7 on the numerator and denominator cancel out, leaving us with just x:
x = 3.43 / 0.7
Now, we perform the division:
x = 4.9
The value of x is approximately 4.9.
Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.
To learn more on Division click:
https://brainly.com/question/21416852
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3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?
Answer:
15
Step-by-step explanation:
1 is neither prime nor composite
2 is the smallest prime
3 is the next smallest prime
5 is the next smallest
but 2,3,5 do not make a triangle
The third side must be smaller than the sum of the other two
2+3 <5 not equal to
7 is the next prime
3,5,7 are the three sides of the triangle
P = 3+5+7
P = 15
Un ciclista debe realizar una ruta a través de una carretera para ir desde una ciudad A hasta una ciudad B en varios tramos. El primer tramo mide dos tercios del tercer tramo, el segundo tramo es dos veces mayor que el tercer tramo y el cuarto tramo tiene la medida del primero más el segundo. Si el último tramo es de 80 km, ¿cuál será la distancia total recorrida de la ciudad A hasta la ciudad B?
Respuesta:
190 km
Explicación paso a paso:
Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:
a = 2/3*c
b = 2*c
d = a + b
Ahora bien sabemos que d = 80, reemplazamos y nos queda:
80 = a + b
tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:
80 = 2/3*c + 2*c
80 = 8/3*c
c = 80*3/8
c = 30
ahora calculamos tanto a como b:
a = 2/3*30 = 20
b = 2*30 = 60
Ahora, el recorrido total es la suma de todos los tramos:
Total = a + b + c + d
Total = 20 + 60 + 30 + 80 = 190
Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57
Answer:
34%
Step-by-step explanation:
According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.
Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.
Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 = 34%.
Please answer ASAP! (I'll give brainliest and no need for explanation!)
Answer:
Median=3, Mean=2.333
Step-by-step explanation:
What type of triangle has these side lengths
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²
[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]
19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.
which of the following sum in simplest form (radicals)
Answer:
9√2
Step-by-step explanation:
Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.
Answer:
9√2Option C is the correct option.
Solution,
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]
Hope this helps...
Good luck on your assignment..
The following box plot shows points awarded to dance teams that competed at a recent competition:
Answer:
top plot
Step-by-step explanation:
From the box and whisker plot, the smallest data point is 0 and the largest data point is 100
The median is 70
The only plot that has points at 0 and 100 is the first plot
Eight people rob a bank: * By what percent does the share of three robbers increase?
Answer:
Step-by-step explanation:
It increase by 2.3
Can any of y’all help me with this problem?
Answer:
90º clockwise rotation
Step-by-step explanation:
The rotation is a 270º counterclockwise rotation, since 270º rotation is
(x, y) → (y, -x)
F(1, 3) → (3, -1)
270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.
Can I get the awnser to this please?
Answer:
151.320046 m^2
150 m^2
Hope it helped!!!!!
Step-by-step explanation:
Area of the circle is:
pi * r^2
Therefore:
= pi * 17^2
= 289 * pi
Now Area of the sector:
= 289 * pi * (60/360)
= 289 * pi * 1/6
= 48.1666667 * pi
= 151.320046 m^2
= 150 m^2 (rounded)
Point M divides line segment AB, in the direction from A to B, in a ratio of 5 to 3. What value on the number line would indicate the location of point M? A = --6, B = 3
Answer:
The coordinates of point M is -0.375.
Step-by-step explanation:
Given that point A = -6 and point B = 3
Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;
Length from A to M = 5/(5 + 3) × Length of segment AB
Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;
Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625
Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8
The coordinates of point M = -0.375.
A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You must show your working.
Answer:
£0.465. It is a better value.
Step-by-step explanation:
If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;
6batteries = £2.79
1 battery = x
x = cost of a battery
6x = £2.79
x = £2.79/6
x = £0.465
Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.
If m<1=45 then what is the measure of <2
HELP!!!
Hey there! :)
Answer:
m∠2 = 135°.
Step-by-step explanation:
∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:
m∠2 = 180 - m∠1
m∠2 = 180 - 45
m∠2 = 135°.
which one is cheaper and why A bag of 3 kg potatoes for $3.49, or a bag of 5 kg potatoes for $4.99
Answer:
a bag of 5 kg potatoes for $4.99
Step-by-step explanation:
estimated $5.00 for 5 kg
5.00/5 = $1.00 per kg
Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?
Answer:
$35.2
Step-by-step explanation:
Marked price of hat = $40
Sale discount = 20%
discount in $ = 20% of $40 = 20/100 * 40 = $8
Thus, sale price = marked price - sale discount = $40 - $8 = $32
Now it is given that there is sales tax of 10%
This sales tax will be applied on sale price
thus,
sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2
Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2
Thus, Bob ended up paying $35.2 for the hat.
Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)
Answer:
(1,-1)
Step-by-step explanation:
If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.