Step-by-step explanation:
(5.8 x 10⁴) + (7.17 × 10^6) =
(5.8 × 10⁴) + ( 717 × 10⁴)
= (5.8 +717) × 10⁴
= 722.8 × 10⁴
= 7.228 × 10^6
A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33
Answer:
c. 0.17
Step-by-step explanation:
The bag have 4 + 2 + 6 = 12 balls.
There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:
2/12 = 1/6 = 0.1666 ≈ 0.17
The expected value of the random variable that assigns the number of red marbles to each outcome is 0.17.
What is the probability?Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
Expected value = number of red marbles / total number of marbles
2/12 = 0.17
To learn more about probability, please check: https://brainly.com/question/13234031
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use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.
Answer:
2/5a + 4b + 1/6c
Step-by-step explanation:
Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3bWhich of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After hours, they are miles apart. What are the rates of the trucks? Use the table below to organize your work
Answer:
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = 62.5 miles/hour
Step-by-step explanation:
Using missing information;
Assume;
Speed of the slower truck = a
Speed of the faster truck = a + 5
Distance traveled by the slower truck = d
Distance traveled by the faster truck = 600 - d
So,
a(5) = d ........ Eq1
(a+5)(5) = 600 - d
5a + 25 = 600 - d
So,
5a + 25 = 600 - 5a
10a = 575
a = 57.5
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = a + 5
Speed of the faster truck = 57.5 + 5
Speed of the faster truck = 62.5 miles/hour
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
Answer:
n = 90 - 62
n = 28º
m = 180 - (62 + n + 27)
m = 180 - (62 + 28 + 27)
m = 180 - 117
m = 63º
Which is the best explanation for why − √ 10 is irrational?
Step-by-step explanation:
- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.
Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.
Help please someone
Answer: step by step explanation
it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
Step-by-step explanation:
so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.
now 16x9=144
and 9x9x9=729
725x25=18225
hope that helps
have a great day/night
19NBoli
Can someone please answer this
Answer:
[tex] {7}^{3} (as \: a \: single \: power \: of \: 7)[/tex]Step-by-step explanation:
Given
[tex] {7}^{4} \div 7[/tex]
Since,
[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]
Hence,
[tex] = {7}^{4 - 3} [/tex]
[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]
7(-6 1/8) or 7 x -6 1/8=?? brainilist
Answer:
Step-by-step explanation:
[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]
Answer:
-343/8 or -42 7/8
Step-by-step explanation:
7(-49/8) = -343/8 or -42 7/8
A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?
Answer:
90
First, divide: 75/25=3
Last 3x 30= 90
or
30
x 3
--------
90
Translate this phrase into an algebraic expression,
17 increased by twice a number. Use a variable n to represent the unknown number.
Please help and thank you
Answer:
17+2n
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3
Answer: [tex]C(t) = 120(1-0.30)^t[/tex]
Step-by-step explanation:
Exponential equation for decay:[tex]y= A(1-r)^t[/tex], where A = initial value, r= decay rate , t= time.
As per given, A = 120ml , r= 0.30
[tex]C(t) = 120(1-0.30)^t[/tex]
Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.
[tex]C(t) = 120(1-0.30)^t[/tex]
What multiplies to 18 and sums up to negative 19
Answer:
-18 and -1
Step-by-step explanation:
(-18) + (-1) = -19
(-18) × (-1) = 18
A square and rhombus are shown below
Answer:
B
Step-by-step explanation:
All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.
I got this answer from Gauthmath and i think you should try it to.
hope this was the answer you were looking for.
Answer:
B
Step-by-step explanation:
All the angles in a rhombus are not always 90 degrees.
Hope that this helps!
which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7
Answer:
f( n ) = 7 n - 4
Step-by-step explanation:
Terms : 3,10 , 17, 24, 31
Means this = [tex]a_{1}[/tex] = 3
The differences:
d = 10-3=7
our term of the sequence =
f( n ) = 7 n - 4
Mike is completing an ORDER OF OPERATION question with the following expression 7(a-b). What is true about this problem? ,a.) It can be simplified into 3 + 4a - b, b.) It can be simplified into 7a - b, c.) It can be simplified into 7ab, d.) It cannot be simplified from its current state e.) It can be simplified to 7a - 7b
Answer:
e.
Step-by-step explanation:
it can be simplified to 7a-7b
answer and explain step by step please
Answer:
m∠6 = 110°
Step-by-step explanation:
∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.
Answer:
11o degree
Step-by-step explanation:
angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.
a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.
The park formed like a rectangle so :
Area = length × width
Area = ( 9/10 ) × ( 4/5 )
Area = 9 × 4 / 10 × 5
Area = 9 × 2 × 2 / 5 × 5 × 2
Area = 18 / 25
pls help me solve this
Answer:
Step-by-step explanation:
5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]
=5*6+5/6 * 4*2+1/2
=35/6 * 9/2
=35*9/6*2
=315/12
=105/4
=26[tex]\frac{1}{4}[/tex]
the radius of the cylinder is 6 m and the height is 10 m what's the volume?
Find the value of cos F rounded to the nearest hundredth, if necessary.
Answer:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Step-by-step explanation:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
(8k+3) (2k+7)
find the product
Answer:
16k^2 + 62k + 21
Step-by-step explanation:
We can distribute:
(8k + 3)(2k + 7)
(8k)(2k) + (8k)7 + 3(2k) + 3(7)
Now, we can simplify:
16k^2 + 56k + 6k + 21
16k^2 + 62k + 21
in a class test (+ 5) marks are given for every correct answer and (-3) marks are given for every incorrect answer.
a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers.
How many incorrect answers had he attempted?
● Please answer my question and I do not need any links
Answer:
a. 4 marks b. 9 questions
Step-by-step explanation:
a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
Since Anu got 8 correct answer and 12 incorrect answers, and + 5 marks is given for every correct answer and (-3) marks are given for every incorrect answer, the total score for correct answers is number of correct answer × marks for correct answer = 8 × (+ 5) = 40.
Also, the total score for incorrect answers is number of incorrect answer × marks for incorrect answer = 12 × (- 3) = -36.
Anu's total score = total score for correct answers + total score for incorrect answers = 40 + (-36) = 40 - 36 = 4 marks.
So, Anu scored 4 marks.
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers. How many incorrect answers had he attempted?
Let x be the number of incorrect answers. Since the marks for incorrect answers is -3, then his total score for incorrect answers is -3x.
Since Sam got 11 correct answers and is given + 5 marks for each correct answer, then his total score for correct answers is 11 × (+5) = +55.
Since he gets a total of 28 marks, we have that total score for incorrect answer + total score for correct answer = 28.
So, -3x + 55 = 28
Solving for x, we have
-3x = 28 - 55
-3x = -27
x = -27/-3
x = 9
Since x = 9, Sam attempted 9 incorrect questions.
.
Answer:
He or she attempted 9 incorrect answers
Step-by-step explanation:
write a rule to describe the transformation
A. (x, y) (x, y)
B. (x, y) (3x, 4y)
C. rotation 180° about the origin
D. (x, y) (x-2 y-6)
please help me I'll really appreciate it
Answer:
D
Step-by-step explanation:
you need to subuce the x-2 and y-6
Which point is located on the x-axis of a coordinate grid?
I don't see the grid? did you attach a photo?
In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?
Answer:
2.40
Step-by-step explanation:
From the triangle QRS
RQ is the hypotenuse 13
QS is the opposite = 12
SR is the adjacent = 5
According to SOH CAH TOA
tan <R = opp/adj
Tan <R = qs/sr
Tan <R = 12/5
Tan <R = 2.40
A zoo has 1,361 visitors on Saturday and 549 on Sunday. Which is the best estimate of the total number of visitors
1900 is the answer.
UHH HELP ME PLS AND I WILL MARK BRAINLIEST
Answer:
First option: 3619.1 cubic centimetres
Step-by-step explanation:
Use this formula for figure out the volume of a cone:
[tex]V=\pi r^2\frac{h}{3}[/tex]
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So:
π × 144 × 8 ≈ 3619.1
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Have a good day :)