Parker just started a running plan where he runs 7 miles the first week and then
increases the number of miles he runs by 10% each week. If he keeps up this plan for
15 weeks, how many total miles would Parker have run, to the nearest whole
number?
Answer:
Parker would have run 29 miles in the 15th week.
Step-by-step explanation:
Since Parker just started a running plan where he runs 7 miles the first week and then increases the number of miles he runs by 10% each week, to determine, if he keeps up this plan for 15 weeks, how many total miles would Parker have run, to the nearest whole number, the following calculation should be performed:
7 x 1.1 ^ 15 = X
7 x 4.1772 = X
29.24 = X
Therefore, Parker would have run 29 miles in the 15th week.
Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys
Answer:
y = 5x+8
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope is 5 and the y intercept is 8
y = 5x+8
Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
7. If four times a number plus 3 is 11, what is the number?
A. 4
B. 2
C. 5
D. 16
Answer:
B
Step-by-step explanation:
Cause....
11-3=8
8/4=2
Answer:
B: 2
Step-by-step explanation:
To get this answer, you would do:
11-3 = 8
then divide it by four, resulting in this as your answer :
8/4 = 2
Best regards!
What is the ratio of 4 and 120
Answer:
1 : 30 or
[tex] \frac{1}{30} [/tex]
................................................
Answer:
1: 30
Step-by-step explanation:
The top three oil producers in the United States in a certain year were the Gulf of Mexico, Texas, and Alaska. The three regions were responsible for 64% of the United States oil production. The Gulf of Mexico and Texas combined for 47% of oil production. Texas produced 3% more than Alaska. What percent of United States oil production came from these regions?
Answer:
27% of United States oil production came from Gulf of Mexico.
20% of United States oil production came from Texas.
17% of United States oil production came from Alaska.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Gulf of Mexico produced x%.
Texas produced y%.
Alaska produced z%.
The three regions were responsible for 64% of the United States oil production.
This means that:
[tex]x + y + z = 64[/tex]
The Gulf of Mexico and Texas combined for 47% of oil production.
This means that [tex]x + y = 47[/tex].
We use this to find z.
[tex]47 + z = 64[/tex]
[tex]z = 64 - 47 = 17[/tex]
17% of United States oil production came from Alaska.
Texas produced 3% more than Alaska.
Then:
[tex]y = z + 3 = 17 + 3 = 20[/tex]
20% of United States oil production came from Texas.
Gulf of Mexico
[tex]x + y = 47[/tex]
[tex]x = 47 - y = 47 - 20 = 27[/tex]
27% of United States oil production came from Gulf of Mexico.
I WILL GIFT YOU 30 Brainly (On Jesus)
Answer:
since highest degree is 2 the degree of a polynomial is also 2.
since the highest exponent is 2 the leading coefficient is 1.
Step-by-step explanation:
Which expression does the number line represent?
O 3+ 3/4. O 3/4 + 9/4 O 3 + 9/4 O 9/4 + 3/4
Graph x=2.5 will do anything
Okay, so you're going to go along the line that goes side to side, and then find positive 2. It'll be on the right side. From there, go half way in and insert a line going up and down.
Bam! You've got yourself x= 2.5 graphed!
Answer:
O ma god. dat many tabs open!!!! xD
Step-by-step explanation:
It's on da graph
Solve for the x variable
Answer:
5x-5.2=7.3
5x=7.3+5.2
5x=12.5
x=12.5÷5
x=2.5
Answer: x = 2.5
Step-by-step explanation:
Try to get x by itself
5x - 5.2 = 7.3
5x = 7.3 + 5.2
5x = 12.5
x = 12.5 / 5
x = 2.5
Which equations can be used to determine the area of the irregular figure?
Answer:
the first option put I'm not 100% sure so if I get it wrong I apologize
Answer two questions about Equations A and B:
A. 5x = 3x
B. 5 = 3
1) How can we get Equation B from Equation A?
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Multiply/divide both sides by the same non-zero constant
D. Multiply/divide both sides by the same variable expression
2( Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Help I need an explanation
Answer:
Step-by-step explanation:
X =75
Answer:
180° - 105 = 75°i.e angle EFB (sum of angle in st.line)
Step-by-step explanation:
X°= angle EFB ( being corresponding angle)
Hence the value of x is 75
Which numerical expression represents the following calculation?
Add the quotient of 35 and 5 to the product of 2 and 6.
Answer:
19
Step-by-step explanation:
Given the expression:
Add the quotient of 35 and 5 to the product of 2 and 6.
Quotient of 35 and 5 :
35 / 5 = 7
Product of 2 and 6 :
(2 * 6). = 12
Adding the result of the both calculations :
7 + 12 = 19
Writing the expression together :
35/5 + (2 * 6)
7 + 12
What is the degree?
6−n
2
+5n
3
Answer:
The degree is 3
Step-by-step explanation:
Given
[tex]6 - n^2 + 5n^3[/tex]
Required
The degree
The highest power of the variable is regarded as the degree of the polynomial
In the given polynomial, the variable is n.
And the powers of n are:
[tex]n = \{0,2,3\}[/tex]
The highest power is 3; Hence, the degree is 3
Help me pleaaaaaseeee
help me pls! PLS PLS PLS I NEED IT
20 points
options are x, x^9, x^4, and x^6
Answer:
x^4
Step-by-step explanation:
The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4
An experiment to improve eyesight with a new drug involves 100 subjects. 50 subjects are randomly chosen to receive the treatment and the other 50 subjects receive a placebo. There was very little difference between the success rate of the treatment group and the placebo group. The success of the placebo group may be due to Group of answer choices
Answer: Hello your question lacks the required options but I will provide a more general answer
answer : Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group
Step-by-step explanation:
The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.
Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group
The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement
Answer:
[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]
Step-by-step explanation:
Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:
For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].
[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]
Now solving for the supplement:
[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]
2612 ÷13 = ? A. 202 r11 B. 200 r12 O O D. 199111 C. 200 r13
Can someone tell e where to plot this? (PLEASE NO FILE ANSWER). !!!
Step-by-step explanation:
x<5
This means that we want to graph all the numbers less than 5, but not 5 itself. So the circle is selected onto the 5 mark, we make it open, and we make the graph go to the left of the circle.
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
24/10 into hundredths
Answer:
240/100
Step-by-step explanation:
just multiply 24 by 10 to get hundredths
Original price of a book 18.50 discount 45%
Answer:
18.5-45%=10.175 Hope this helped! :)
joe mama is obama
Step-by-step explanation:
The 20% tip on a $73 meal
5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 point)
Answer:
Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!
Step-by-step explanation:
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
A.
28 feet
B.
-52 feet
C.
-28 feet
D.
52 feet
Answer:
The answer is D.
Step-by-step explanation:
It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.
A student performed the following steps to find the solution to the equation
x2 + 4x-12-0. Where did the student go wrong?
Answer:
Step 2
Step-by-step explanation:
Step 2 because in step 1, they correctly wrote the factors of the polynomial as (x+6) and (x-2). But then in step 2, (x+6) suddenly became (x-6) and (x-2) became (x+2), which is incorrect.
The answers in step 3 should have been -6 and 2.
8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r) and round to the nearest cent.
a. $4.12 b. $1.21
c. $0.42 d. $3.30
Answer: A. $4.12
Step-by-step explanation:
Y=a(1+r/n)^nt is the equation we use to solve this.
a= $0.43
t=37 - take 1980 and subtract it from 2017
r= .063 - the 6.3% goes into a decimal
n = 1
Y= ?
Y= 0.43( 1+ .063/1) ^1*37
Y= 0.43 (1.063) ^37
Y= 4.12
1) Find the product: 6 x 1/3= * O 61/3 O 6/18 6/3 01/18
Answer:
2
Step-by-step explanation:
Answer:
I think its the second answer
WILL GIVE BRAINLIEST!!!!!(NO LINKS)
Quadrilateral ABCD is translated 5 units right. What are the coordinates of
quadrilateral A'B'C'D?
y
A (5.5)
DA
D(15
C (21)
BX51
RUX
A. A'(10,5), B' (10,1), C'(7.1), D' (6,5)
O B. A' (10,10), B' (10,6), C'(7.6),
D'(6,10)
O C. A'(5,0), B'(5,-4), C' (2,-4), D' (1,0)
D. A' (0,5), B'(0,1), C'(-3,1), D'(-4,5)
Answer:
D (-5,10),(-1,10),(-1,7),(-5,6)
Step-by-step explanation:
I took the quiz and it was right hope this helps ❤️Can u mark brainlist PLZ