Answer:
9/64Step-by-step explanation:
This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.
Given data
2 purple lipsticks,
3 red lipsticks and
3 pink lipsticks
The sample space s=(2,3,3)
The sample size= 8
1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]
2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]
probability of taking out a purple lipstick followed by the red lipstick is
[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]
Solve for k. a/b=b/a+1/k
Answer:
k = ab/ ( a^2 - b^2)
Step-by-step explanation:
a/b=b/a+1/k
Multiply each side by abk to get rid of the fractions
abk *a/b=abk(b/a+1/k)
a^2k = b^2k + ab
Subtract b^2k from each side
a^2k - b^2k = b^2k - b^2k + ab
a^2 k - b^2 k = ab
Factor out k
k( a^2 - b^2) = ab
Divide each side by ( a^2 - b^2)
k( a^2 - b^2)/ ( a^2 - b^2) = ab/ ( a^2 - b^2)
k = ab/ ( a^2 - b^2)
Answer: K= ab/(a+b)(a-b)
Which trinomial did she factor?
x2 + 4x – 12
x2 + 2x - 6
x2 - 8x - 6
x2 - 4x - 12
Answer:
Answer is (D) x2 – 4x – 12
Step-by-step explanation:
edge 2020 test
2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?
Answer:
81.8 kg
Step-by-step explanation:
To find the total mass you have to add both of their mass
46.2 kg+35.6 kg= 81.8 kg
Their total mass is 81.8 kg #
what is the definition for a line segment
Answer: A line segment is a part of a line. It has 2 endpoints.
Step-by-step explanation:
Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.
So, in order for a figure to be a line segment,
it needs to begin and end at an endpoint.
Take a look at the image provided below.
if MNL is congruent to TUS, then NL is congruent to ?
Answer:
NL is congruent to US.
Answer:
d. NL ≅US
Step-by-step explanation:
ΔMNL ≅ ΔTUS
follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
The complete question is:
A certain element has a half life of 4.5 billion years.
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
Answer:
Age of rock = 7.82 billion years
Step-by-step explanation:
For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.
We are given that;
fraction remaining = 30% = 0.3
Thus;
0.3 = 0.5n
To find n, we have to use the log function;
log 0.3 = n log 0.5
-0.5229 = -0.301 n
n = -0.5229/-0.301
n = 1.737
We are given that;
Half life = 4.5 billion years
So, 1.737 half lives would give;
1.737 × 4.5 = 7.82 billion years
So, age of rock = 7.82 billion years
Solve the equation.
y + 6 = –3y + 26
Answer: y=5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
y+6=-3y+26
Taking like terms to both side, y+3y=26-6
4y=20(Dividing both sides by 4)
y=5
Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1
Answer:
n= 4725 /1024
Step-by-step explanation:
what is the leading coefficient of the polynomial f(x) defined below:
Explanation:
The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.
The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.
If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.
PICTURE ATTACHMENT IS BELOW
Answer:
10% = 1/10
20% = 1/5
100% = 3/3
75% = 3/4
Step-by-step explanation:
Answer:
Awnser is down below
Step-by-step explanation:
75= 3/4
20= 1/5
10 = 1/10
100= 3/3
Hope this helps :)
4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m
130°
80°
65°
50°
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
A company produces a cardboard box in the shape of a rectangular prism. The surface area of the box is represented by
S= 4x, where x is the length of the base. Find the inverse by solving for x without switching the variables.
The inverse function is x =
Answer:
x=S/4
Or
x=S(1/4)
Step-by-step explanation:
Surface Area(S)=4x
Where
x=length
Inverse by solving for x without switching the variables
S=4x
Divide both sides by 4
S/4=4x/4
S/4=x
x=S/4
Or can also be written as
x=S(1/4)
Solve the proportion 4/x=8/(x-3)
Answer:
x=-3
Step-by-step explanation:
4/x=8/(x-3)
We can solve this using cross products
4 ( x-3) = 8x
Distribute
4x -12 = 8x
Subtract 4x from each side
4x-4x-12 = 8x-12-4x
-12 =4x
Divide each side by 4
-12/4 = 4x/4
-3 =x
Answer:
X=-3
Step-by-step explanation:
Solve it like any other two step equation.
But first we have to have x on its own to get what the x value is
Suppose p and q are inversely proportional. If p=25 when q=6, find the value of p when q=15 Please help me!!!
Answer:
p=10 when q=15
Step-by-step explanation:
p and q are inversely proportional
It means
p=k/q
p=25 when q=6
p=k/q
25=k/6
k=25÷1/6
k=25×6/1
=150
k=150
Find p when q=15
p=k/q
p=150/15
=10
p=10
Help please
What are the coordinates of the hole in the graph of the function?
f(x)=x2−3x−10/x−5
Enter your answer in the boxes.
Answer:
(5, 7)
Step-by-step explanation:
A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.
The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.
__
[tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]
The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).
which of the following is equivalent to the radical expression below √8x^5
Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much does he save every month
Answer:
$3600
Step-by-step explanation:
Given:
Total income T = $18,000
Fraction of income spent on house rent f1 = 1/5
Fraction of income spent on other expenditures f2 = 3/5
Fraction of income saved is;
f = 1 - (1/5+3/5) = 1 - 4/5
f = 1/5
The Amount he save is A;
A = fraction saved × total amount = f × T
Substituting the values
A = 1/5 × $18,000
A = $3,600
The Amount he save is $3,600
Answer: Varun saves 3,600 every month
Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;
Total income = 18000
House rent = 1/5
Rent expense = 1/5 of 18000
Rent expense = 1/5 * 18000
Rent expense = 3600
he also spends 3/5 on other expenditure
Other expenditure = 3/5 of 18000
Other expenditure = 3/5 * 18000
Other expenditure = (3 * 18000)/5
Other expenditure = 54000/5
Other expenditure = 10800
His expenses therefore have been derived as
Total expenditure = 3600 + 10800
Total expenditure = 14400
His savings per month therefore is derived as;
Total income - total expenditure = savings
18000 - 14400 = savings
3600 = savings
Therefore, Varun saves 3,600 every month
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)
Answer:
576π in² and 1,809 in².
Step-by-step explanation:
To find the answer, the formula for the area of a circle, or A = πr², will need to be used.
In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:
48/2 = 24 inches.
Now, plugging this into the equation for the Area of a Circle, gets us:
A = π24²
A = 576π or 1808.64 in².
Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)
Hey, can you please help me out?
Very appreciate
Verified and certified by me
Answer:
d
Step-by-step explanation:
first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!
An angle in standard position crosses the unit circle at (0, - 1). Which could be the angle measures?
It could be 270, -90 in degrees
or if you're in radians it would be 3/2 pi or -1/2 pi
Identify the method that will be used in solving for x.
5 + x = 3/4
A.) distributive property
B.) multiplication property of equality
C.) division property of equality
D.) subtraction property of equality
Answer:D subtraction property of equality
Step-by-step explanation:
how can you use scientific notation to compare the mass of an electron to the mass of a proton
Answer:
explained below
Step-by-step explanation:
Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.
In the image I leave an example of the use of scientific notation in this area
salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school
Answer:
So how many he has left to do???
I think Salim has to finish 5 more problems
Step-by-step explanation:
What is the product 6(x^2-1)*6x-1/6(x-1) A)6(x-1)^2 B)6(x^2-1) C)(x+1)(6x-1) D)(x-1)(6x-1
Answer:
D
Step-by-step explanation:
(6x^2-6)×(6x-1)/(6x-6)
Simplify
U get (x+1)(6x-1)
Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?
Answer:
Step-by-step explanation:
Ok so, I'll try to make this explanation super simple for you.
The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.
Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?
Take p^4/5. The answer will be 5√(p^4).
I hope this gives you a clear understanding.
The arithmetic mean if ui = xi - 25 / 10 sigma fiui = 20 and sigma fi = 100 is
Answer:
27Step-by-step explanation:
Given the formula ui = xi - 25 / 10
Note that the general formula for calculating ui = xi-A/n where;
A = assumed mean
n = class size
On comparison with the given equation, A = 25 and h = 10
Also arithmetic mean x = A + {h * sigma(fiui) /sigma(fi)} where;
sigma(fiui) = 20 and sigma fi = 100
Substituting the given value to get the mean x;
x = 25+ (10*20/100)
x = 25 + (200/100)
x = 25 + 2
x = 27
The arithmetic mean is 27
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x-3
5 < 10x - 3
2 - 2x < 8x
Answer:
5 < 10x-3
Step-by-step explanation:
5 - 2x < 8x - 3
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x-3
Answer:
The answer is C.
Step-by-step explanation:
Trust me, I got you.
Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on the California Channel Islands found that increased prevalence of the virus was linked with greater precipitation. The study adds "Precipitation accounted for of the variation in prevalence."
Answer:
The overview of the given situation is described in the explanation segment below.
Step-by-step explanation:
By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'As we know that the determination's coefficient will be:
⇒ [tex]R^2[/tex]
(Percent of variance in the answer variable described by the explanatory variable).
Now the correlation among the two variables will be:
As we know,
⇒ [tex]r^2=R^2[/tex]
⇒ [tex]r^2=0.79[/tex]
⇒ [tex]r=\sqrt{0.79}[/tex]
⇒ [tex]r=0.889[/tex]
The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, R².
The Coefficient of determination is a metric used in modeling to show how the proportion of the change in the dependent variable which is due to the independent variable. The Coefficient of determination, R² ranges between 0 and 1 with 1 meaning 100%.Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the R² value.
Learn more :https://brainly.com/question/18405415
PLEASE HELP WILL MARK BRAINLIEST
find the value of x
I think,
the value of x is 90°
A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any number except 5 on the other?
Answer:
Step-by-step:
Well, the probability for getting an even number on the first roll is 1/2
The probability for getting not 5 would be 5/6
You can make a tree diagram.
1 2 3 4 5 6
1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6
The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.
