Answer: 100
Step-by-step explanation: 5+5+10+30-50+100
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 5 seconds?
Answer:
90 m
Step-by-step explanation:
65 km = 65000m
1 hour = 3600 secs
speed in meters = 65000/3600
= 18 m / sec
Distance traveled in 5 secs = 18*5
= 90 m
jake had 51 hens in his poultry farm. All but 11 died. how many hens does he have now?
Answer:
Jake has 11 hens
Step-by-step explanation:
It says in the question, all but 11 hens died. This means the rest died, but 11 are still alive.
Answer:
He has 11 hens.
Step-by-step explanation:
Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
EK BAKI
The entire school, 250 students, went to the soap box derby.
The Math Club went in 2 vans, and each van held 6 students.
How many students from the Math Club went to the soap box
derby?
Paul added vans to students. Eva multiplied students by vans
Since 2+ 6 + 8, eight Math Club Since 6x2 = 12, twelve Math Club
students went to the soap box students went to the soap box
derby
derby
A. Eva
B. Paul
Answer:
A. Eva
Step-by-step explanation:
Given that
The entire school, 250 students, went to the soap box derby.2 vans went to soap box derby and each van held 6 students.
To find the total number of students from the Math Club who went to the soap box derby, we need to add the number of students in each van, the number of times equal to the number of vans.
i.e. by adding 6 (i.e. number of students in each van) 2 (number of vans )number of times, we can get the number of students from Math Club who went to the soap box derby.
Number of Math Club students who went to the soap box derby = 6 + 6 = 12
OR
Simply, multiply number of students in each van with the number of vans .
6 [tex]\times[/tex] 2 = 12
Therefore, Eva is correct about the calculations.
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 70 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 3% of the components are identified as defective, and the components can be assumed to be independent.
Required:
a. If the manufacturer stocks 70 components, what is the probability that the 70 orders can be filled without reordering components?
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
Answer:
Step-by-step explanation:
a) This is a binomial distribution.
p = probability it is defective = 3% = 0.03, q = 1 - p = 1 - 0.03 = 0.97
This is a binomial distribution is given by the formula:
[tex]P(x)=C(n,x)*p^xq^{n-x}[/tex]
But n = 70
[tex]P(x=0)=C(70,0)*0.03^0*(0.97)^{70}=0.1186[/tex]
b) n = 102. Hence there can be 2 defective components, hence:
[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)=C(102,0)*0.03^0*(0.97)^{102}+C(102,1)*0.03^1*(0.97)^{102-1}+C(102,2)*0.03^2*(0.97)^{102-2}=0.0447+0.1441+0.2204=0.4062[/tex]
c) n = 105, there can be 5 defective products:
[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)=C(102,0)*0.03^0*(0.97)^{102}+C(102,1)*0.03^1*(0.97)^{102-1}+C(102,2)*0.03^2*(0.97)^{102-2}+C(102,3)*0.03^3 *(0.97)^{102-3}+C(102,4)*0.03^4*(0.97)^{102-4}+C(102,5)*0.03^5*(0.97)^{102-5}=0.0447+0.1411+0.2204+0.2273+0.174+0.1054=0.913[/tex]
A carpenter had a piece of wood that was 7.28 feet long. He cut 2.9 feet off the
end of that piece. How many feet of wood were left?
Answer Choices :
A : 4.18 feet
B : 5.38 feet
C : 5.78 feet
D : 4.38
Answer:
D
Step-by-step explanation:
7.28 - 2.9 = 4.38
What is the value of x? 69° and (6x+3)
What is the 15th term of the sequence 4, 8, 16, 32,... ?
. A 0.660 kg ball is dropped from rest from the top of a building and falls for
5.65 seconds. How tall was the building? [Neglect friction. Assume on or near
the Earth's surface.]
Answer:
The height of the building is 156.42 m
Step-by-step explanation:
Given;
mass of the ball, m = 0.66 kg
time of fall, t = 5.65 s
initial velocity of the ball, u = 0
Apply the following kinematic equation to determine the height of the building;
h = ut + ¹/₂gt²
h = ¹/₂gt²
h = ¹/₂ x 9.8 x 5.65²
h = 156.42 m
Therefore, the height of the building is 156.42 m
The building was 156.42 metres tall
From the question we are told that
the mass of the ball, m = 0.66 kg
the time of fall, t = 5.65 s
the initial velocity of the ball, u = 0
If we use one of the equations of motions in
h = ut + ¹/₂gt², we then have
h = (0 * t) + (0.5 * 9.8 * 5.65²)
h = 4.9 * 31.923
h = 156.42 m
The height of the building is 156.42 m
see more about equation of motion here https://brainly.com/question/16878713
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3. All rational numbers are integers.
Answer:
false
Step-by-step explanation:
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals.
Step-by-step explanation:
All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
Which graphs cannot represent a proportional relationship?
Answer:
B and C
Step-by-step explanation:
A linear graph, that is a graph showing a straight line connecting the points plotted, shows a proportional relationship between two variables quantities if it cuts across the point of origin at (0, 0).
Graph A represents a proportional relationship between x and y variables, because the line that connects the points on the graph is a straight line, and also intercepts at (0, 0).
Graph B is a straight line graph, however, it does not intercepts the point of origin (0, 0). Graph B cannot represent proportional relationship.
Graph C is not a linear graph. If you try connecting the points together by drawing a line, the line would not be a straight line. Also, the line of the graph does not intercept at (0, 0). Therefore, it is safe to conclude that graph C does not represent a proportional relationship.
Graph D is a straight line graph. The rate of change between any two points on the lines of both graphs would be constant and the same all through, as the line of the graph intercepts at the point of origin, (0, 0). This connotes a proportional relationship.
Does this graph represent a proportional relationship? Explain
Answer:
Yes it represents a proportional relationship
Step-by-step explanation:
If you use the Vertical Line Test they don't hit 2 lines at the same time, instead they hit 1, therefore its proportional.
Answer:
This graph does not represent a proportional relationship because it is not a straight line, and the line does not pass through the origin.
Step-by-step explanation:
Find the product:
-
4
/
9
And
-
3
/
8
The answer to the problem is [tex]\frac{1}{6}[/tex]
First, you must set up the equation.
[tex]-\frac{4}{9}*-\frac{3}{8}[/tex]
Then, you must cross multiply.
[tex]\frac{-12}{-72}[/tex]
Finally, simplify the fraction.
[tex]\frac{1}{6}[/tex]
when she home all alone all she do is twerk
Answer:
LOL WHAT
Step-by-step explanation:
Answer:
Yes, this is true
Step-by-step explanation:
Cardi B be twerking when she get home bc she knows that she got her weave snatched and her nails, and eyebrows got snatched. Her hubby broke up with her bc Cardi b wanted to be islam but he didn't. So she b twerking while she eating ice-cream. She sometimes does the WAP
the difference of a number squared a
6
Answer:
36
Step-by-step explanation:
The given statement can be modelled to a equation as -
f(x) = x² - 6.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is the statement - the difference of a number squared and six.
The given statement can be modelled as a equation as follows. Assume the number to be [x]. Then, we can write -
f(x) = x² - 6
Therefore, the given statement can be modelled to a equation as -
f(x) = x² - 6.
To solve more questions on functions, expressions and polynomials, visit the link below -
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#SPJ2
PLEASE HELPPPPPPP ITS URGENT AND IM STRESSING
Let h(x)=f(g(x))=(x+6)^3. Find f(x) given g(x)=x+6.
Answer:
f(x) = x^3Step-by-step explanation:
Given
h(x) = f(g(x)) = (x+6)^3g(x) = x+ 6We can see that
(g(x))^3 = f(g(x))Then, we substitute g(x) with x to get
f(x) = x^3Cody donated $15 to the local Humane Society his brother donate at four dollars less than twice the amount that Cody donated how much money did Cody’s brother donate
Answer:
$26
Step-by-step explanation:
15 * 2= 30
30-4= 26
There are 150 students trying out for basketball teams. There are 12 teams. Each team
must have the same number of students. How many students will be on each team?
Part B
What happens to any students who are left over?
A) There are 12 kids on each team.
B) The 6 leftover students will probably be put on the teams as substitutes; if someone gets hurt or can't make it to the game, one of the substitutes play for them.
please i need help i never did this before
Answer:
Okay I think these are the answers for the Static blurs in the passage the principal reads
Good morning students, teachers, and staff! The teachers have joined the school fundraiser. They will be selling books for summer reading. They have a set goal of 360 dollars.
This is 210 dollars more than the 8th graders, but only [tex]\frac{4}{5}[/tex] as much as the 7th graders. For every 60 dollars the teachers plan to raise, the 6th graders plan to raise 50 dollars
The reason why the teachers goal is $360 is because on page 12 on the graphs it says that the teachers goal is $360, now thats big brain thinking
The teachers goal is 210 dollars more than the 8th graders because 360 - 150 = 210. It is also [tex]\frac{4}{5}[/tex] of the 7th graders goal because 6th graders plan to raise 50 dollars because $60*6=360 and $50*6 is $300. 6 is the common multiple of of 50 and 60
50, 100, 150, 200, 250, 300
60, 120, 180, 240, 300, 360
Boom.
For B you can say
1. The 6th grades' goal is more than the 8th graders goal
2. The 7th grades' goal is more than the 6th and 8th
3. The 8th grades' goal is [tex]\frac{1}{2}[/tex] of the 6th grades' goal
C I think the teachers goal is 360
I hope this helps you! I'm sorry it took long but it is worth it when helping others.
local bowling alley charges each person $5.25 per game bowled and $3.50 to rent a pair of bowling shoes. The bowling alley also offers food
specials. Currently, bowlers can purchase a super pizza deal, which includes a large pizza and a pitcher of soda, for only $15.50.
Five friends decide to go bowling. Each friend bowls two games and rents a pair of bowling shoes. They also buy one super pizza deal to
share.
• What is the total cost (in dollars) for the five friends to rent shoes, bowl two games, and purchase a super pizza deal? Explain or show
your work.
• If the five friends split the total cost so each one pays the same amount of money, how much does each friend pay (in dollars)?
Answer:
1. $85.50
2. $17.10
Step-by-step explanation:
1. 5.25 x 10=52.5:cost for all games total.
3.50 x 5=17.5: cost for all shoes total.
15.50: cost for super pizza deal.
Add it all together.
52.5 + 17.5 +15.50= 85.5
2. 85.5 Divided by 5 = 17.1
Simplify. (3x−2y)+(5x−4y)
8x−6y
8x−2y
−2x+2y
15x+8y
Answer:
8x-6y
Step-by-step explanation:
(3x-2y)+(5x-4y)
put like terms together
(3x+5x)+(-2y-4y)
add together
8x -6y
put together
8x-6y
10x+y+2xy2 - 4x2 - 4x?y
[(-4,-2).(-4x+y)+10x?y]+ 20
O 10:2y + 2xy +[(-4x2)+(-4x+y)]
(-4x²) + 2xy² + (10x²y+ (-4x²y)]
[10y2xy*+(-4x+y)]+(-)
o
Answer:10x+y+2xy^2-4x^2-4x?y[(-4,-2).(-4x+y)+10
Step-by-step explanation:
PLEASE ANSWER IMMEDIATELY!!!!
Answer:
x = 23
DBC = 23
ABC = 157
Step-by-step explanation:
angles ABC and CBD are supplementary.
supplementary angles add up to 180.
you can make the following equation
6x + 19 + x = 180
7x + 19 = 180
7x = 180 - 19
7x = 161
x = 161/7
x = 23
substitute x into the equations
DBC = x
DBC = 23
ABC = 6x + 19
ABC = 6 * 32 + 19
ABC = 138 + 19
ABC = 157
In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of subjects selected from this population, possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic
This question is Incomplete
Complete Question
In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of 400 subjects selected from this population, 73% possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic?
Answer:
Population = 6840 subjects
Samples = 292 subjects
Step-by-step explanation:
In a population of 9500 subjects, 72% possess a certain characteristic.
The number of subjects in the population with this characteristics =
9500 × 72%
= 6840 subjects
In a sample of 400 subjects selected from this population, 73% possess the same characteristic.
The number of subjects in this sample with this characteristics is :
400 subjects × 73%
= 292 subjects
6840 subjects in the population posses this characteristic, while 288 subjects in the sample posses this characteristic
The given parameters are:
[tex]\mathbf{n = 9500}[/tex] --- population
[tex]\mathbf{x = 400}[/tex] -- sample size
[tex]\mathbf{p =72\%}[/tex] ---- the proportion
The number of subjects that posses the characteristics is simply the average of the sample or the population.
For the population, the average is calculated as:
[tex]\mathbf{\mu =np}[/tex]
So, we have:
[tex]\mathbf{\mu =9500 \times 72\%}[/tex]
[tex]\mathbf{\mu =6840}[/tex]
This means that:
6840 subjects in the population posses this characteristics
For the sample, the average is calculated as:
[tex]\mathbf{\bar x=px}[/tex]
So, we have:
[tex]\mathbf{\bar x=72\%\times 400}[/tex]
[tex]\mathbf{\bar x=288}[/tex]
This means that:
288 subjects in the sample posses this characteristics
Read more about proportions, sample and population at:
https://brainly.com/question/23388293
which number is rational and a real number but not an integer
5 or 1/2 since it's numerator and denominator are integers
What is the graph of 4x + 3y = -24?
Answer:
Step-by-step explanation:
Please anyone help me :(
Answer:
its 499 i just did it and double checked a bunch
Step-by-step explanation:
I put it into omy graphing calculator also
5 poir
1. Mike deposited $200 into his bank account. He then wrote checks for
$20 and $30. Then he deposited $40 dollars more. Which of the following
represents the changes in the value of Mike's account?
*
Answer:
200 - 20 - 30 + 40
You are a glass cutter, and a customer needs glass tops cut for two tables. One tabletop is a rectangle that is 36
inches long by 48 inches wide. The other tabletop is circular and has a diameter of 72 inches. You have a sheet of
glass that covers an area of 32 square feet. Do you have enough glass to make both tabletops?
Why or why not?
Answer:
Step-by-step explanation:
No, because you need 40.26 square feet of glass to make both tabletops.
Match the graph of the function with the function rule