Answer:
1/7
Step-by-step explanation:
7 days a week eazzsy
[tex]\to \bold{\frac{1}{7} \times 1 = \frac{1}{7}}[/tex]
So, [tex]\bold{\frac{1}{7}}[/tex] is the probability that Monday is the day before Tuesday.
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To compute a student's Grade Point Average (GPA) for a term, the student's grades for cach course are weighted by the number of credits for the course. Suppose a student had these grades: 3.6 in a 5 credit Math course 2.5 in a 2 credit Music course 3.0 in a 5 credit Chemistry course 3.4 in a 5 credit Journalism course What is the student's GPA for that term? Round to two decimal places. Student's GPA=_________
Answer:
The student's GPA = 3.24
Step-by-step explanation:
To determine the student's GPA for the term,
First, we will determine the weighted grade points and then divide the result by the total credit.
The weighted grade point is the sum of the grade points in the courses.
Grade point for a course is calculated by multiplying the grade by the course credit.
For the Math course,
Grade point = 3.6 × 5 = 18.0
For the Music course,
Grade point = 2.5 × 2 = 5.0
For the Chemistry course,
Grade point = 3.0 × 5 = 15.0
For the Journalism course,
Grade point = 3.4 × 5 = 17.0
Hence,
The weighted grade point = 18.0 + 5.0 + 15.0 + 17.0
The weighted grade point = 55.0
Total credit = 5 + 2 + 5 + 5 = 17
∴ The student's GPA = 55.0 / 17 = 3.24
Hence, The student's GPA = 3.24
Peter collected 171 marbles but lost 3/4 of them on his way home through of hole in his bag when he arrived at home now many marbles did Peter have left?
The number of marbles Peter had when he arrived home was 43 marbles
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The number of marbles Peter had on his way home = 171
The amount of marbles he lost on his way home = ( 3/4 ) th
Now , the amount of marbles Peter have left = 1 - amount of marbles he lost on his way home
The amount of marbles Peter have left = 1 - 3/4
= ( 1 / 4) th
So , The number of marbles Peter had left when he arrived home is =
Amount of marbles Peter have left x Number of marbles Peter had
The number of marbles Peter had left when he arrived home is = (1/4) x 171
= 171 / 4
= 42.75
≈ 43 marbles
Hence , the number of marbles Peter had left when he reached home is 43
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The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?
Answer:
Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce
Answer:
12 ounces
Step-by-step explanation:
3.60 = .3x
divide by .3 on both sides
12 = x
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
Margie paid $10.65 for 3 gallons of milk.
She wants to buy 8 additional gallons of
milk. How much will she pay for the
additional 8 gallons?
Answer:
She will pay $28.4 for the additional gallons.
Step-by-step explanation:
First find the unit amount:
10.65/3 = 3.55
now multiply:
3.55 x 8 = 28.4
Help me
Solve 5n = 35.
Answer:
n=7
Step-by-step explanation:
7 times 5 equals 35.
Answer:
n=7
Step-by-step explanation:
Give:5n = 35
To solve the n. we need to divide both side by 5.
5n/5=35/5
n=7
I just need help with this please.
Answer:
-5/2 is located on the left of -1
Step-by-step explanation:
Which expression can be used to solve the problem below? On a recent math test,
Jill scored 3 points for each of the 18 multiple choice questions she answered
correctly and 5 points for each of the 6 short response questions she answered
correctly. What was her total score on the test?
1 : 3+16 • 18+6
2 : 3+18 • 5+6
3 : 3 • 5 + 18 • 6
4 : 3 • 18 + 5 • 6
Answer:
4
Step-by-step explanation:
Because she gets 3 per multiple choice question, so 3 times 18
she gets 5 per response question, so 5 times 6
Jill total score on the test is 3 • 18 + 5 • 6. The correct option is 4.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given;
Jill scored 3 points for each of the 18 multiple choice questions she answered correctly.
That means,
use the multiplication operation,
3 x 18
And 5 points for each of the 6 short response questions she answered correctly.
That means,
5 x 6
To find the total score:
Add the scores,
3 x 18 + 5 x 6
or, 3 • 18 + 5 • 6
Therefore, 3 • 18 + 5 • 6 is the required expression.
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The ratio of girls to boys in the coed soccer league is 3:7. Choose True or
False for each statement.
The ratio of girls to total students in the league is 3:10.
O Truc
False
Next >
Previous
Answer:
True
Step-by-step explanation:
3:7 is girls to boys, and to find the total, do 7+3. After that, you'd get 10, and the ratio would be 3:10, so TRUE
Suppose that Y has density function
f(y) = ky(1 − y) if 0 ≤ y ≤ 1 0, elsewhere
A) Find the value of k that makes f (y) a probability density function.
B) Find P(Y ≤ .4|Y ≤ .8).
C) Find the .95-quantile, i.e., find a point φ.95 such that P(Y ≤ φ.95) = .95.
I'm assuming
[tex]f(y)=\begin{cases}ky(1-y)&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}[/tex]
(a) f(x) is a valid probability density function if its integral over the support is 1:
[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=k\int_0^1 y(1-y)\,\mathrm dy=k\int_0^1(y-y^2)\,\mathrm dy=1[/tex]
Compute the integral:
[tex]\displaystyle\int_0^1(y-y^2)\,\mathrm dy=\left(\frac{y^2}2-\frac{y^3}3\right)\bigg|_0^1=\frac12-\frac13=\frac16[/tex]
So we have
k / 6 = 1 → k = 6
(b) By definition of conditional probability,
P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4 and Y ≤ 0.8) / P(Y ≤ 0.8)
P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4) / P(Y ≤ 0.8)
It makes sense to derive the cumulative distribution function (CDF) for the rest of the problem, since F(y) = P(Y ≤ y).
We have
[tex]\displaystyle F(y)=\int_{-\infty}^y f(t)\,\mathrm dt=\int_0^y6t(1-t)\,\mathrm dt=\begin{cases}0&\text{for }y<0\\3y^2-2y^3&\text{for }0\le y<1\\1&\text{for }y\ge1\end{cases}[/tex]
Then
P(Y ≤ 0.4) = F (0.4) = 0.352
P(Y ≤ 0.8) = F (0.8) = 0.896
and so
P(Y ≤ 0.4 | Y ≤ 0.8) = 0.352 / 0.896 ≈ 0.393
(c) The 0.95 quantile is the value φ such that
P(Y ≤ φ) = 0.95
In terms of the integral definition of the CDF, we have solve for φ such that
[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=0.95[/tex]
We have
[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=\int_0^\varphi 6y(1-y)\,\mathrm dy=(3y^2-2y^3)\bigg|_0^\varphi = 0.95[/tex]
which reduces to the cubic
3φ² - 2φ³ = 0.95
Use a calculator to solve this and find that φ ≈ 0.865.
Using probability concepts, it is found that
a) The value is k = 6.
b) P(Y ≤ .4|Y ≤ .8) = 0.554.
c) The 95th percentile is x = 0.86465.
The density function is:
[tex]f(y) = ky(1 - y)[/tex]
Item a:
The condition that makes it a probability density function is:
[tex]\int_0^1 f(y) dy = 1[/tex]
Thus:
[tex]\int_0^1 f(y) dy = \int_0^1 ky - ky^2 dy[/tex]
[tex]\int_0^1 f(y) dy = k(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0}^{y = 1}[/tex]
[tex]\int_0^1 f(y) dy = k(\frac{1}{2} - \frac{1}{3})[/tex]
Then
[tex]k(\frac{1}{2} - \frac{1}{3}) = 1[/tex]
[tex]k(\frac{3-2}{6}) = 1[/tex]
[tex]k = 6[/tex]
The value is k = 6.
Item b:
This probability is:
[tex]\int_0.4^0.8 f(y) dy = 6(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0.4}^{y = 0.8}[/tex]
Then
[tex]p = 6\left(\frac{0.8^2}{2} - \frac{0.8^3}{3} - \frac{0.4^2}{2} + \frac{0.4^3}{3}\right)[/tex]
[tex]p = 0.554[/tex]
Thus, P(Y ≤ .4|Y ≤ .8) = 0.554.
Item c:
This is x for which:
[tex]\int_0^x f(y) dy = 0.95[/tex]
Thus:
[tex]6(\frac{x^2}{2} - \frac{x^3}{3}) = 0.95[/tex]
[tex]-2x^3 + 3x^2 - 0.95 = 0[/tex]
Solving a cubic equation with the help of a calculator, and considering [tex]0 \leq x \leq 1[/tex], this is x = 0.86465.
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9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
Can you help with these questions please i would appreciate it
Answer:
[tex]\boxed{k = \frac{log_{e}(\frac{L +A }{A} )}{t} }[/tex]
Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?
Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:
Answer:
−2.8 or - 2 8/10
Step-by-step explanation:
hope that helps
11. Use matrices to solve the system of equations below. Be sure to show [A] and [B].
(3a + 2b + c = 15
a-b4c = 23
4b – 2c = -16
Answer:
2a=-16
Step-by-step explanation:
all I could think of
Need help asap! Complete the table below.
Answer:
Step-by-step explanation:
if the speed is 6 bracelets per hour then the table will go like this
2 12
5 30
7 42
11 66
16 and 2/3 hours is 100 bracelets
PLEASE HELP QUICKLY!!!!! PLZZZZZZ!!!!!!!
The length of a rectangle is
4
inches more than
4
times the width. If the area of the rectangle is
168
square inches, find the length and the width.
Answer:42
Step-by-step explanation:
A local charity is making fruit baskets for elderly citizensbin the neighborhood. Each badket have 15:pieces of fruit. They brought 1,620 pieces of fruit total. Without completing the division, choose Yes or No for each statements
Answer
They can make at least 1,000 baskets
They can make at least 10 baskets
Answer:
Yes, no, no
Step-by-step explanation:
Answer:10 baskets yes
100 baskets yes
1000 baskets no
Step-by-step explanation:
50 POINTS!!!
Please I need fast and correct answer. I will award best answer with brainliest!!!
Answer:
[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]
Step-by-step explanation:
vertical angle theorem states that the angle vertical from another angle has to be congruent
p.s. i found it
r−5r−6s+8s−15 what is the answer for this equation
Step-by-step explanation:
r-5r-6s+8s-15
-4r+2s-15
= 2s-4r-15
The simplified form of the given expression is -4r+2s-15.
The given expression is r-5r-6s+8s-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be solved as follows:
r-5r-6s+8s-15
= -4r+2s-15
Therefore, the simplified form of the given expression is -4r+2s-15.
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Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2
Step-by-step explanation:
b(a + c)
=-4(-3+2)
=12-8
=4
Answer:4
Step-by-step explanation:
Steps a (-3) add c (2) is -1
Then you have to times -1 by -4 which is 4 :D
Helppppp meeeee 3/5 Divided by 1/9
Answer: 5.4 or 5 2/5 Hope this helps have a GREAT night
Step-by-step explanation:
Whats the rate and unit rate for 7 pencils for 9 dollars
Answer:
7 to 9
Step-by-step explanation:
2. I earned $9. I bought 4 candy bars for $0.85 each. How much money do I
have left? *
A. $5.60
B. $8.15
C. $9.85
D. $12.40
Answer:
A
Step-by-step explanation:
4 x $0.85= $3.40
$9-$3.40= $5.60
Answer:
A. $5.60
Step-by-step explanation:
4x0.85 =3.4 and 9 -3.4 = 5.6
What is the product of -5/8 and -6/7
Answer:
-1 27/56
Step-by-step explanation:
Using the given fractions,
−58+−67
Applying the fractions formula for addition,
=(−5×7)+(−6×8)8×7
=−35+−4856
=−8356
Simplifying -83/56, the answer is
=−12756
The sum of two numbers is 32. The larger is 3 less than 6 times the smaller. What is the larger number?
Answer:
23
Step-by-step explanation:
32=3x-4+x
32=4x-4
+4 +4
36=4x
/4 /4
9=x
Larger #= 3x-4
Larger #= 3(9)-4
Larger #= 27-4
larger #= 23
Find the distance between the two points
how many solutions are there 14x + 6 = 2(5 + 7x) - 4
Answer:
infinitely many solutions
Step-by-step explanation:
14x + 6 = 2(5+7x)-4
14x + 6 = 10 + 14x - 4
14x + 6 = 14x + 6
infinitely many solutions because both sides of the equation are equal
Do people who sit for at least 8 hours per day have more health problems than
those who sit for fewer than 8 hours per day?
Is statistical or non-statistical?
Answer:
Its statistical
Step-by-step explanation: