Answer:
[tex]C. \frac{1}{2} \times \frac{5}{4} [/tex]
What is the slope of line M.
What is a?
What is B?
Answer: A 2,2
Step-by-step explanation: 1 - 1 something
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute (a) The expected number of days of the year that are birthdays of exactly 4 people:
Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]
The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]
= 0.0157
Therefore, the required probability = 0.0157
What is the measure of
Answer:
m∠B = 105°
Step-by-step explanation:
Given
A = x+5B = 3xC = xWe know that the sum of angles in a triangle = 180°
A + B + C = 180°
x + 5 + 3x + x = 180°
5x + 5 = 180°
5x = 180° - 5
5x = 175
x = 175 / 5
x = 35
Thus, the measure of ∠B will be:
m∠B = 3x
= 3(35)
= 105°
m∠B = 105°
Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons
Answer:
can u show me a pic of the question so it is easier
The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.
What is a ratio?The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.
Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.
From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.
∴ 5 : 3 : : 30 : x.
Or
5/3 = 30/x.
5x = 90.
x = 18.
So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.
learn more about ratio here :
https://brainly.com/question/13419413
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Solve for x: −3x + 3 −1
x −3
Student #2:
4x + 1 ≤ -4
x + 1 ≤ -1
x ≤ -2
Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Answer:
B
Step-by-step explanation:
Answer:
The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.
Step-by-step explanation:
Start with n and subtract 6
Answer:
n-6
Step-by-step explanation:
A pizzeria's gains and losses for 3 months are: $627, -$480, and $854. What is the pizzeria's total profit or loss after 3 months?
A. $1961
B. $147
C. $374
D. $1001
Answer:
1001
Step-by-step explanation:
Answer:
$1001
Step-by-step explanation:
$627 -$480 + $854 = 1001$
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answer:
five trucks per hour
Step-by-step explanation:
Which of the following describes [tex]9x + 3y - 15[/tex]
A: Ratio
B: Equation
C: Inequality
D: Expression
Answer:
equation
Step-by-step explanation:
obviously!
Use the distributive property to write an expression that is equivalent to 12 + 4x .
Answer:
4 ( 3 + x )
Step-by-step explanation:
Pull out a four from both parts
4( 3 + x)
What is the area in square feet 6.ft, 8ft
Answer:
48 Squared Feet
Step-by-step explanation:
6 * 8 = 48
Answer:
48ft2
Step-by-step explanation:
6ft x 8ft = 48ft2
Answer - 48ft2
Adam biked 6 3/4 miles to work and then 3 2/5 miles to the store. How many miles had he biked that day when he arrived at the store
Answer:
6 + 3 + 1.15 = 10.15 miles
Step-by-step explanation:
LAST QUESTION PLEASE HELP FAST ILL GIVE MY LAST POINTS FOR CORRECT ANSWER
Answer:
70° and 20°
Step-by-step explanation:
trust me and mark me brainliest
List 3 values that would
make this inequality true.
er.
C С
4 + g 29
Answer:
Three values that would make this true would be 5, 9, and 20.
You could choose any number that is greater than or equal to 5
Find the commission.
Earning Commission
Sales Commision Rate Commission
$750
9%
?
The commission is $
Answer:
The commission would be $67.50.
Answer:
$67.50
Step-by-step explanation:
commission amount = sale price * commission percentage / 100
A 30 foot ladder is placed against a vertical wall so that the base of the ladder is 10 feet from the base of the wall. How far up the wall does the ladder reach?
Answer:
the answer is approximately 28.28
Step-by-step explanation:
you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.
Which diagram represents the type of solution to this system of equations?
7x − 12y + z = -1
8x − 10y = 5
21x − 36y + 3z = -3
A.
B.
C.
D.
Answer: The answer should be A.
Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.
The correct diagram represents the type of solution to this system of equations is shown in Option A.
We have to given that,
System of equations are,
7x - 12y + z = -1 .. (i)
8x - 10y = 5 .. (ii)
21x - 36y + 3z = -3 .. (iii)
Now, From equation (i);
Multiply by 3;
3( 7x - 12y + z) = -1 × 3
21x - 36y + 3z = - 3
Which is same as equation (iii).
Hence, Equation (i) and (ii) are parallel to each other.
And, It's a triple relationship.
Thus, Only option A has parallel planes.
So, Option A is true.
Learn more about systems of equations at:
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Which expression has a value of -22?
Answer:
−5 ⋅ 2 − 12
Step-by-step explanation:
The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answer:4=1/2x
X=8
Step-by-step explanation:
Find the ratio of 2p per gram to £2.12 per kilogram
Answer:
the answer is 1.06
Step-by-step explanation:
y-2=1/4(x-3)
how can i graph this?
Answer:
your anwer is x=4y-5
Step-by-step explanation:
I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on gas for 6 weeks on the taxi driver’s bank account, in dollars?
.Answer:
-105
Step-by-step explanation:
Given
[tex]Gas = \$105[/tex] for 6 weeks
Required
Represent this as an integer
If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.
Debit implies negative and it is represented by a negative symbon
Hence, the integer that represents this scenario is -105
$6 notebook; 50% off; 7% tax
Answer: The notebook is worth 2.79
Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:
7 x 3 = 21
21 / 100 = 0.21
3 - 0.21 = 2.79
Hope this helps :)
Find the slope of the line that passes through the points A(5,-1) and B
(3, -1).
Answer:
1/6
Step-by-step explanation:
Rina’s recipe uses 2 cups of sugar to make 2 ½ dozen cookies. Jonah’s recipe uses 2 ¼ cups of sugar to make 3 dozen cookies. Which recipe uses more sugar for a dozen cookies? Why?
Answer:
Let's calculate the "cups of sugar per dozen cookies" ratio:
2 cups
---------- = 0.8 (Rina)
2.5
2.25 cups
------------- = 0.75 (Jonah)
3
Rina uses more sugar for a dozen cookies.
help me with the question I appreciate it much.
it can't be seen properly
need help plz thanks for the help
Answer:
m<C = 66°
Step-by-step explanation:
Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:
(5x + 9)° = (7x + 3)°
Solve for x
5x + 9 = 7x + 3
Collect like terms
5x - 7x = -9 + 3
-2x = -6
Divide both sides by -2
x = 3
✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)
m<C + 90° + (7x + 3)° = 180 (substitution)
Plug in the value of x and solve
m<C + 90 + 7(3) + 3 = 180
m<C + 90 + 21 + 3 = 180
m<C + 114 = 180
m<C = 180 - 114 (Subtraction property of equality)
m<C = 66°
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 27Which expression is equivalent to X
(13),
Ο Ο Ο Ο
4
x9
13
x 6
Answer:
x
Step-by-step explanation:
[tex]\huge \bigg( {x}^{ \frac{2}{3} } \bigg) ^{ \frac{3}{2} } \\\\
\huge= {x}^{ \frac{2}{3} \times \frac{3}{2} } \\\\
\huge= {x}^{ \frac{6}{6} } \\\\\huge= x \\ [/tex]