Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
hat logarithmic function represents the data in the table?
x f(x)
25 2
125 3
625 4
Answer:
1
Step-by-step explanation:
Answer:
The answer is A!
Classify the following triangle. Check all that apply.
Answer:
Right, Scalene (D and E)
Step-by-step explanation:
One side of the triangle contains a right angle, therefore it is a right triangle
the three sides are all different lengths from each other, making it scalene
Answer:
D. Right
E. Scalene
Step-by-step explanation:
Definitions
Acute: A triangle whose angle measure are all acute angles.
Equilateral: A triangle with all the same side lengths and angle measures.
Obtuse: A triangle with one obtuse angle and two acute angles.
Right: A triangle who has a right angle and two acute angles.
Scalene: A triangle whose sides are all different lengths
Isosceles: A triangle who has 2 sides the same length and the other different.
Our triangle fits the descriptions of the right triangle and scalene triangle.
Which of the following is not a case of direct variation?a Number of sheets of some kind and increased when their total weight its inceased. b More quantity of petrol is required to travel more distance with a fixed speed. c More fees would be collected if number of students increased in a class. d Time taken will be less if number of workors are increased to complete the same work.
Answer:
Step-by-step explanation:
If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.
Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is
d) Time taken will be less if number of workers are increased to complete the same work.
The rest are direct variation scenarios
2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step
Answer:
x=5/13
Step-by-step explanation:
2/3+7/2=9x+5/6+4x
2/3+7/2-5/6=9x+4x
lcm of 2,3,6=6
2/3=4/6 7/2=21/6 5/6=5/6
4/6+21/6-5/6=9x+4x
30/6=13x
5=13x
x=5/13
Steps:
Step 1: Simplify both sides of the equation.
2/3−4x+7/2=−9x+5/6
2/3+−4x+7/2=−9x+5/6
(−4x)+( 2/3 + 7/2 )=−9x+ 5/6 (Combine Like Terms)
−4x+25/6=−9x+5/6
−4x+25/6=−9x+5/6
Step 2: Add 9x to both sides.
−4x+25/6+9x=−9x+5/6+9x
5x+25/6=5/6
Step 3: Subtract 25/6 from both sides.
5x+25/6−25/6=5/6−25/6
5x=−10/3
Step 4: Divide both sides by 5.
5x/5=−10/3/5
= x=-2/3
Answer: x=-2/3
Please mark brainliest
Hope this helps.
What’s 30x8+5 divided by 8% =
Answer:
302.5
Step-by-step explanation:
30 x 8
5/8
I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa
Add the polynomials.
(4x + 11) + (12x + 2)
a
16x + 13
b
12x + 9
С
25x + 16
d. 19x + 13
Answer:
[tex](4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13[/tex]
Step-by-step explanation:
Answer = a. 16x+13
Someone please help me
Answer:
x=4
Step-by-step explanation:
x+8=9*(4/3)
x+8=12
x=4
Brainliest plus a thanks?
In the diagram above, <1 = 135º.
Find the measure of <3.
Answer:
The measurement of ∠3 is 135°
Step-by-step explanation:
In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.
∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.
So, if m∠1 is 135° then the m∠3 is also 135°
Answer:
m∠=135°
Step-by-step explanation:
These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.
Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.
Corresponding angles are congruent, which means they have the same measure.
∠1 and ∠3 are corresponding angles, therefore
∠1=∠3
We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.
135=∠3
The measure of ∠3 is 135 degrees.
Mateo's wage is £420 per week.
He spends 1/3 of his wage on food.
35% goes on the household bills and the rest is saved.
How much does Mateo save each week?
Answer:
He saves £133 every week
I need the answer please
Answer:
AC=22
AB=11
BC=33
Step-by-step explanation:
[tex]2(3x - 4) = 2x + 12 [/tex]
6x-8=2x+12
12+8=6x-2x
20=4x
x=5
∴AC=2(5)+12=22
∴AB=3(5)-4=11
∴BC=7(5)-2=33
HELP ASAP!!
Determine the surface area of the figure built out of blocks.
A) 30 sq. Units
B) 26 sq. Units
C) 22 sq. Units
D) 19 sq. Units
Answer:
i think it's s d because that's how many sq. there are
OA= (1,3,-1) and OD=(-1,0,n) find the value of n for which the length of AD is 7 units
Answer:
n = 5
Step-by-step explanation:
0A = (1,3,-1) and OD=(-1,0,n)
AD = √ (-1-1)^2 + (0-3)^2 + (n-(-1))^2
7 = √ (-2)^2 + (-3)^2 + (n+1)^2
7 = √4 + 9 + (n+1)^2
Now squaring both sides we have :
7^2 = (√4 + 9 + (n+1)^2)^2
49 = 4 +9 + (n+1)^2
49 = 13 + (n+1)^2
49 -13 = (n+1)^2
36 = (n+1)^2
Taking the square root of both sides we have :
√36 = √(n+1)^2
6 = (n+1)
6 = n + 1
6 - 1 = n
5 = n
Therefore n = 5
A weather station reports that there is a 40% chance of rain today. What is the probability that it will not rain today?
Answer:
Since the full percentage of something is 100% thats because 1*100 = 100.
So since it has 40% chance of rain what would 100-40 be? Well it would be 60. So the probability that it will not rain is
60%In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Answer:
z, y and x
Step-by-step explanation:
Now, to answer this question, what we must know is that the side facing the largest angle is the largest while the side facing the smallest is the smallest.
What i’m saying in essence is that the bigger the angle faced, the larger the side.
Now since we have 3 angles in a triangle that adds up to 180
we have 27 and 48 already, the third side would be 180-27-48 = 105
So which side faces which angle?
Let’s have a diagrammatic representation of the said triangle.
Check this in the attachment please
The longest side is thus z, followed by y and lastly x
The measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Given data;
m∠X = 27°
m∠Y = 48°
The sum of the angle of the triangle is 180°
m∠X+m∠Y+m∠Z = 180°
27° +48° + m∠Z = 180°
m∠Z = 105°
The order of the angle measurement;
m∠Z > m∠Y > m∠X
Hence, the measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.
To learn more about the angle measurement, refer to the link;
https://brainly.com/question/14684647
#SPJ5
(6x^2+5x-3)+(x^2-9) find the sum please
Answer:
7x^2+5x-12
Step-by-step explanation:
(6x^2+5x-3)+(x^2-9)
Combine like terms
(6x^2+ x^2+5x-3-9)
7x^2+5x-12
what is the definition of congruent
Answer:
more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.
Step-by-step explanation:
happy to help ya:)
Answer:
Congruent means two or more objects that are the same. All angles and sides have to be the same length and measure.
Step-by-step explanation:
congruent means equal two
Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left. How many pennies did they lose altogether?
Answer:
150 pennies were lost altogether
Step-by-step explanation:
Let the initial number of pennies owned by Dante be x pennies
Let the initial number of pennies owned by Mia be y pennies
Mathematically ;
x + y = 350 •••••••(i)
So after losing half, dante will have x/2 pennies left.
Mia lost 1/3 so she will have 2/3y left
So after all the losses, they both had equal amount of pennies
This means that;
x/2 = 2y/3
Cross multiply;
3x = 4y •••••••(ii)
Let’s solve both equations simultaneously;
From i , x = 350-y
Substitute this into equation ii
3(350-y) = 4y
1050-3y = 4y
7y = 1050
y = 1050/7
y = 150
since x = 350-y
x = 350-150 = 200
Now Dante loss x/2 = 200/2 = 100
Mia lost 1/3y = 1/3 * 150 = 50
Total pennies lost = 100 + 50 = 150
please help me, with full explanation!!!!
Answer:
9.54 cm
Step-by-step explanation:
In triangle ABD, AD is the hypotenuse (longest side)
We know that according to Pythagoras theorem,
a^2+b^2=c^2
In the figure, c (10cm) and a (5cm) is given. So,
(5)^2 + b^2 = 100
25+b^2 = 100
b^2 = 75
So b is √75 = 8.66
Therefore BD is 8.66 cm
Now even BDC is a triangle
In it, the hypotenuse is missing but we know the value of other sides
so, in Pythagorean theorem,
a=4 (CD)
b=8.66 (BD)
c=x
Therefore,
(4)^2 + (8.66)^2 = x^2
16+74.99= x^2
x^2 = 90.99
x= 9.54 cm
Hope this helps!
the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5
Answer:
-55/8, 61/8, x=47/24
Step-by-step explanation:
not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one
but basically just sub in the value into the eqn given
How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?
Answer:
It has no real solutions.
Step-by-step explanation
Once you calculate the discriminant, D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.
Answer:
No solutions
Step-by-step explanation:
Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.
Use b^2 - 4ac to find the discriminant.
-10^2 - 4(8)(15) = -580
If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0
Therefore, there are no real solutions
The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height
[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]
Answer:
[tex]20cm[/tex]
Step-by-step explanation:
[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the value of (3 + 4)²·
Answer:
( 3 +4)² = 7² = 49
Hope this helps.
Answer:
49
Step-by-step explanation:
Follow the PEMDAS rule.
P- Parenthesis
E- Exponents
M- Multiplication
D- Division
A-Addition
S-Subtraction
Following this rule, you would add 3+4, which gets you 7.
Then, you would multiply 7 by 7, as that is what the exponent, two suggests
7x7 = 49.
thus,
(3 + 4)² = 49
what is 5,000,000 divided by 3? I'm trying to make it fair for everyone in the diamond casino heist
Answer: 1,666,666.666666667
1 Point
Which statement best describes the end behavior of the following function?
F(x) = 3x +4x3 - X+11
A. The graph of the function starts low and ends high.
B. The graph of the function starts high and ends high.
C. The graph of the function starts low and ends low.
D. The graph of the function starts high and ends low.
Answer:
The graph of the function starts high ends low
Step-by-step explanation:
I put the equation into Desmos
find the initial value of the function x + 3y = 18
According to survey records, 75.4% of women aged 20-24 have never been married. In a random sample of 25 young women aged 20-24, find the mean, variance and standard deviation for the number who are or who have been married.
Answer:
mean = 6.15
variance = 4.637
standard deviation = 2.15
Step-by-step explanation:
It is given that 75.4% of women aged 20-24 have never been married.
We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.
So the percentile of women who have been married is given by
[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]
The mean is given by
[tex]mean = n\times p[/tex]
Where n is the sample size
[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]
Therefore, the mean is 6.15
The variance is given by
[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]
Therefore, the variance is 4.637
The standard deviation is given by
[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]
Therefore, the standard deviation is 2.15
Factor this polynomial completely over the set of complex numbers: f(x)=x^3-x^2-4x+4 Pleaseee answer asap! Thanks!
f(x)=(x-1)(x+2)(x-2) over all it equals to zero
Answer:
(x-1) (x-2) (x+2)
Step-by-step explanation:
1. Factorice x^2 y -4 de la expresion.
x^2(x-1) -4(x-1)
2. Luego, debemos de factorizar x-1 de la expresion.
(x-1)(x^2 -4)
3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.
(x-1) (x-2) (x+2)
20 POINTS!! PLS HELP ME 1.A television set is sold for $1998 and a 11% profit is made. Find the original cost of the television set.
Answer:
1800 is the original cost
Step-by-step explanation:
cost + 11% cost = 1998
Factor out the cost
cost *( 1+11%) = 1998
cost ( 1.11) = 1998
Divide each side by 1.11
cost = 1998/1.11
cost =1800
Can anyone help me with 9th-grade geometry?
Answer:
See below.
Step-by-step explanation:
From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.
As the base angles are congruent m < E = m < R.
So the are 2 triangles are congruent by SAS, ASA and AAS.
The area of a circle is 18pi square inches. If the area of a sector of this circle is 6pi square inches, then which of the following must be the sector's central angle?
Please help I’ll give you brainliest promise !
Answer:
240 degrees
Step-by-step explanation:
Mathematically, the area of a circle is
A = 2 * pi * r^2
we need to calculate the radius of the circle first
18pi = 2pi * r^2
divide both sides by 2pi
r^2 = 9
r = 3 inches
Area of sector = angle/360 * pi * r^2
6pi = angle/360 * pi * 3^2
6pi = angle/360 * 9pi
(360 * 6pi)/9pi = angle
40 * 6 = 240 degrees