Answer:
x = 0.5
Step-by-step explanation:
9/50 + 12x/50 = 15/50
9 + 12x = 15
x = 6/12 = 0.5
ANOTHA one yessir you already know
Answer:
Step-by-step explanation:
5 you already know
3s + a = 38 and 3s + 2a =52
Step-by-step explanation:
answer is (a,s) = (14,8)
A number has 7 in its thousands place and is less than 54,00. How many such numbers are there?
There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.
Consider the possible digits in the hundreds, tens, and one's places.
Thousands of places: There is only one possibility, which is 7.
Hundreds place: Any digit from 0 to 9 is possible.
Tens place: Any digit from 0 to 9 is possible.
One place: Any digit from 0 to 9 is possible.
Since the number is less than 54,000, the digit in the hundreds place cannot be 5.
So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.
So, the total number of such numbers is:
9 x 10 x 10 x 10 = 9,000
Therefore, there are 9,000 numbers that satisfy the given condition.
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How many ways can Nick choose 5 pizza toppings from a menu of 8 toppings if each topping can only be chosen once?
In combination, 56 ways can Nick choose topping can only be chosen .
What is permutation and combination?
Subsets of a set can be created in two separate ways: combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colors. Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.given that Nick choose pizza = 5
menu of toppings if each topping =8
chosen once = 8c5
=> 8! / (5!(8−5)!)
=> 56
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A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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I need help with number 2...
For isosceles triangle RST the measure of angle T is 34 degree
In this question, we have been given a isosceles triangle RST with RS = RT.
So, by isosceles triangle theorem,
angle S = angle T
So, angle T = (3x - 2)°
We know that the sum of all angles of triangle is 180°
∠R + ∠S + ∠T = 180°
9x + 4 + 3x - 2 + 3x - 2 = 180°
15x + 4 - 4 = 180°
15x = 180°
x = 12
So, 3x - 2 = 3(12) - 2
= 34°
Therefore, for triangle RST the measure of angle T is 34 degree
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Please Help! Which is the set of whole numbers between ten and fifteen? Responses {12, 14} {12, 14} all real numbers all real numbers {11, 12, 13, 14} {11, 12, 13, 14} null set
{11, 12, 13, 14} is the set of whole numbers between ten and fifteen
This is further explained below.
Which is the set of whole numbers between ten and fifteen?Generally, An aliquot is the number zero, a positive natural number or a negative integer with a negative sign.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, {11, 12, 13, 14} is the set of whole numbers between ten and fifteen
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Graph the line with slope - 2 passing through the point (1, -5).
Answer:
The graph is attached
Step-by-step explanation:
Answer:
y = -2x - 3
Step-by-step explanation:
**hopefully the picture helps it to make sense**
good luck
i hope this helps
brainliest would be highly appreciated
have a nice day!
A box of cereal states that there are 81 calories in a 3/4 cup serving. What is the until rate for calories per cup? How many calories are there in 2 cups of the cereal?
Answer:
i think its 2.22
Step-by-step explanation:
Solve the system of equations. How many solutions foes the system have? Help pls :D
Answer:
Infinitely Many SolutionsStep-by-step explanation:
Step-1: Re-write the equations into correct form.
=> 6x + 3y = 24y = -2x + 8
=> 6x - 24 = -3y-2x + 8 = y
Step-2: Multiply "-2x + 8 = y" by 3.
=> 6x - 24 = -3y-6x + 24 = 3y
Step 3: Subtract or Add if needed
=> 0 = 0Because we got a result 0 = 0, this means that the system has infinitely many solutions.
Hoped this helped.
\(BrainiacUser1357\)
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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What is the square root of -2x^2
Answer:
-2x
Step-by-step explanation:
the answer for the question is -2x
Find the annual interest rate.
I= $562.50, P=$1500, t= 5 years
The annual interest rate is_____%
The annual interest rate is 7.5%.
What is Simple interest?
Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.
The formula for simple interest is:
I = P × r × t
where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.
In this case, we know I = $562.50, P = $1500, and t = 5 years.
we ca substitute values into the formula,
562.50 = 1500× r ×5
Simplifying, we get:
r = 562.50 / (1500 ×5)
r = 0.075
r = 7.5%
Therefore, the annual interest rate is 7.5%.
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Reflect the point (0, -2) across the line y= 6
Answer:
(0, 14)
Step-by-step explanation:
The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.
:)
8.5 hours equal how many minutes
Answer:
510 minutes.
Step-by-step explanation:
i hope this helped you! :)
510 MINUTES!! :)
Hope this helped!
The slope of a line passing through (-3,-6) and (-6,-6)
Answer:
M=0
Step-by-step explanation:
a+b=3,ab=2. find the value of a and b
Answer:
a=1 b=2
Step-by-step explanation:
1+2=3
1×2=2
I hope this helped you :)
the set of letters in the word mathematics is finite?
Answer:
Yes
Step-by-step explanation:
wwqrwqretertertreterterter
Answer:
answer: no spam please
oly questions
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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Identify the type of observational study A researcher plans to obtain data by interviewing spouses of victims who perished in a tsunami. He will interview them, and people unrelated to the victims, over the next 10 years to see how closeness to a traumatic event might affect recovery time. Choose the correct type of observational study below. â“”A. prospective B. retrospective O C. cross-sectional
The type of observational study in the following scenario is considered as prospective study.
A prospective study, also known as a prospective cohort study, is a type of longitudinal study in which researchers follow and watch a group of individuals across time to collect data and track the development of outcomes. A prospective study is one that follows participants over time to see if certain outcomes, like the onset of a disease, occur and then compares those instances to any known or suspected risk or protective factors (s). It is common practice to follow a group of people, or a "cohort," for an extended period of time as part of the study. In this scenario, the researcher wants to learn how closeness to a traumatic event might effect healing time by conducting interviews with victims and witnesses over the next 10 years. Hence, it fits the criteria for a prospective observational study.
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What is 3/4 of two gallons
Answer:
1.5 gallons
Step-by-step explanation:
(3/4) × (2 gallons) = 1.5 gallons
HOPE THIS HELPS AND HAVE A NICE DAY <3
A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 3 10 12 25
Female 14 2 13 29
Total 17 12 25 54
If one student is chosen at random from those who took the test,
Find the probability that the student got a 'A' GIVEN they are male.
The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.
To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:
P(A | Male) = P(Male | A) × P(A) / P(Male)
We can find the values of the terms in the formula using the information given in the table:
P(Male) = (25/54) = 0.46 (the proportion of all students who are male)
P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')
P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')
Therefore, plugging these values into the formula:
P(A | Male) = 0.18 × 0.31 / 0.46
P(A | Male) ≈ 0.12
So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.
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4x + 4/4x - 32
Solve for x
Answer: 26
Step-by-step explanation:
Angles on a straight line add to 180 degrees, so:
\(4x+4+4x-32=180\\\\8x-28=180\\\\8x=208\\\\x=26\)
The value of x is 26.
What is Straight line?A straight line is an endless one-dimensional figure that has no width
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.
The angles add up to 180 degrees in a straight line.
The two angles are 4x+4 and 4x-32
4x+4+4x-32=180
Add the like terms
8x-28=180
Add 28 on both sides
8x=180+28
8x=208
Divide both sides by 8
x=26
Hence, the value of x is 26.
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Find an ordered pair (x,y) that is a solution to the equation
Answer:
(3, -7)
Step-by-step explanation:
If you choose 3 as one of your x-coordinates, you simply need to solve for y to get -7 as your y-coordinate:
\(3x+y=2\\3(3)+y=2\\9+y=2\\y=-7\)
In 2013, there were 50,304 runners in the New York City Marathon. Each runner runs a distance of 26.2 miles. If you add together the total number of miles for all the runners, how many times would they run back and forth from the earth to the moon? Consider the distance from the earth to the moon to be 2.389 x 105 miles.
The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
There are 50,304 runners and each runner runs a distance of 26.2 miles. Hence:
Total distance ran by runners = 26.2 miles * 50304 = 1317964.8 miles.
The distance from the earth to the moon is 2.389 x 10⁵ miles, hence:
Ratio of total distance to distance from earth to moon = 1317964.8 miles/ (2.389 * 10⁵) = 5.516
Time ran back and forth = 5.516 / 2 = 2.76
The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.
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In two circles, but the radius of the
larger circle is three times the radius of the smaller
circle. If the area of the larger circle is 60.84m, what
is the area of the smaller circle?
Answer:
6.76 m^2
Step-by-step explanation:
Large circle area = pi r^2 = pi L^2 = 60.84
then L = sqrt (60.84/pi)
Small circle radius = r = 1/3 L
small circle area = pi r^2
= pi ( 1/3 sqrt (60.84/pi))^2 = 6.76 m^2
the inequality x > 40 can be used to re present how old todd is, where x is his age.whick of these statements best describes how old todd is? A. todd is less than. B. todd is more then 40 years old. C. todd is at least 40 years old. D. what is more than 40 years old
The given inequality is
x > 40
This is a 'greater than' symbol
Given that x represents Todd's age, then the statement that best describes how old Todd is would be
B. todd is more than 40 years old.
construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
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