Answer:
25 divided by 5 = 5, so the unit rate is 5 circuit boards every minute.
The unit rate of production for the machine would be 5 circuit boards per minute.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that a machine cuts 25 circuit boards every 5 minutes.
To determine the unit rate of production for the machine.
Here the number of circuit boards = 25
And time = 5 minutes
We have to calculate the ratio of the number of circuit boards to time.
So the unit rate of production for the machine :
= number of circuit boards/time
⇒ 25/5 = 5
Therefore, the unit rate of production for the machine would be 5 circuit boards per minute.
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10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.
Answer:
Median: 11
Mean: 12
Mode: none
Step-by-step explanation:
M A T H W A Y helps
Mode is something that is repeated multiple times
so
Answer:
Median- 11
Mean-12
Mode-none
Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18
The median is the middle number so that would be 11
Median-11
Mode is the most repeated number as you can see there is none
Mode- none
Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.
Mean- 12
A tank contains 5,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 50 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = ___________kg (b) How much salt is in the tank after 20 minutes? () y = ________ kg
Answer:
a
[tex]y(t) = 11e^{-\frac{t}{100} }[/tex]
b
[tex]y(20) = 9 \ kg[/tex]
Step-by-step explanation:
From the question we are told that
The volume of brine in the tank is [tex]V_L = 5000 \ L[/tex]
The mass of the salt is [tex]y(0)= 11 \ kg[/tex]
The rate at which water enters that tank is [tex]\r V = 50 \ L / min[/tex]
Generally the rate at which salt enters the tank is mathematically represented as
[tex]z = \frac{0}{V_L} * \r V[/tex]
=> [tex]z = \frac{0}{5000} * 50[/tex]
Here the zero implies that there is no salt entering the tank
Generally the rate at which salt leaves the tank is mathematically represented as
[tex]u = \frac{y(t)}{V_L} * \r V[/tex]
=> [tex]u = \frac{y(t)}{5000} * 50[/tex]
=> [tex]u = \frac{y(t)}{100}[/tex]
Generally the rate of salt flow in and out of the tank is
[tex]\frac{dy}{dt} = z - u[/tex]
=> [tex]\frac{dy}{dt} = - \frac{y(t)}{100}[/tex]
=> [tex]\frac{dy}{y} = -\frac{dt}{100}[/tex]
=> [tex]ln(y(t)) = -\frac{t}{100} + c[/tex]
at time t = 0 y(0) = 11
=> [tex]ln(11) = -\frac{0}{100} + c[/tex]
=> [tex]c = ln (11)[/tex]
So
[tex]ln(y(t)) = -\frac{t}{100} + ln (11)[/tex]
taking exponent of both sides
[tex]y(t)=e^{ -\frac{t}{100} + ln (11)}[/tex]
=> [tex]y(t) = e^{-\frac{t}{100} } * e^{ln(11)}[/tex]
=> [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]
Generally at t = 20 minutes
The amount of salt in the tank is mathematically represented as
[tex]y(20) = 11e^{-\frac{20 }{100} }[/tex]
=> [tex]y(20) = 9 \ kg[/tex]
Select the correct answer. This tables models continuous function f. x f(x) -2 0 -1 -8 0 -6 1 0 2 4 3 0 If function f is a cubic polynomial, which statement most accurately describes the function over the interval ? A. The function increases and decreases over the interval . B. The function is decreasing over the interval . C. The function is increasing over the interval . D. The function is constant over the interval .
Answer:
The function is increasing over the interval (0, 1).
The statement that accurately describes the function over the interval is C. The function is increasing over the interval .
What is a function?It should be noted that a function simply means the expression that's shows the relationship between variables.
In this case, the statement that accurately describes the function over the interval is that the function is increasing over the interval.
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which is greater [-3.25] or [4.25]
Answer:
4.25
Step-by-step explanation:
The number is bigger in absolute form
Meg places a tomato plant in her garden She adds a pepper plant 6 feet to the left of the
tomato plant. Then she adds a pumpkin plant 5 feet to the right of the tomato plant. How
many feet apart are the pepper plant and pumpkin plant? Show an absolute value
expression that can be used to find your answer.
Answer:
what is the opinions for the question
A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Pythogorean Theorem:
a squared + b squared = c squared
9 squared or 81 + ? squared = 15 squared or 225
Inverse Pythagorean Theorem:
c squared - a squared = b squared
225 - 81 = 144
sqrt (144) = 12
12 = b
Hope this helps! Good luck!
Nine less than six times a number -15
Answer:
9-(6×X)=15
Step-by-step explanation:
hope this helsp
Answer:
x= -7.66
Step-by-step explanation:
Let the number be x
According to the question
9(6×x )= -15
9(6x)= -15
54×9x= -15
9x= -15-54
9x =-69
x= -69/9
x = -7.66
4/6 + 1/3 please help i need to get my grade up qwq
Explanation:
1/3 is the same as 2/6
Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.
Therefore 4/6 + 1/3 is the same as 4/6 + 2/6
At this point, we add the numerators over the common denominator
4/6 + 2/6 = (4+2)/6 = 6/6 = 1
Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.
what is the sum of the first 30 multiplies of 3?
A.1200
B.1395
C.1500
D.1490
Answer:
Letter D. 1490
I hope you helped☜☆☞What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
A band earns 2/3 of their selling concert tickets and 1/5 of their profit from selling merchandise. The band earns 1500$ from selling concert tickets. How much money does the band earn from selling merchandise
Answer:
well what is 1/5 of 1500, thats all you have to do
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x – 5 2y – 4x =
Answer:
-10
Step-by-step explanation:
Answer:-10
Step-by-step explanation: trust
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
answer choices are
A B C D
if you could, please add an explanation.
Answer:
d
Step-by-step explanation:
I wil I give the BRAINIEST!
Please explain :)
What is the best description of the relation?
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?
Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?
1. Translate the following sentence into an equation. The product of six and
a number n is three less than the sum of four and n.
Answer:
6n + 3 = 4 + n
Step-by-step explanation:
Answer:
6n-3=4+n
Step-by-step explanation:
Ok since it is saying "the product of six and a number" it is a multiplication of the two variables 6 and n, which will give you "6n." The next part is "three less than." This is a subtraction cause you are subtracting 3 from 6n. The last part "the sum of four and n." Is an addition because it has the word sum, which will give you 4+n.
Product=multiplication
Less than=subtraction
Sum of= Addition
Hope this helped
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
What is an equation of the line that passes through the point (8,0) and is parallel to
the line 2 -4y = 20
The topic of this is parallel and perpendicular through points!!
Answer:
i think y=0
Step-by-step explanation:
A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?
Answer:
800
Step-by-step explanation:
you divide 712 by .89
Please help me ! Today 11/6/2020 :(
A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?
Answer:
6/49
Step-by-step explanation:
The school administration decided that four grade levels of students (K–3) will share donated funds according to the proportion of students that are in each grade. There are twice as many students in third grade as there are in second grade. There are 5 more students in first grade than there are in second grade. The number of students in kindergarten is 15 more than in first grade. There are 365 students in the K–3 grades at the school.
(A) How many students are in each grade?
(B) What fraction of the money should each grade get?
Answer:
kindergarten = 88
first = 73
second = 68
third = 88
Step-by-step explanation:
365=k+f+s+t
2s=t
s+5=f
f+15=k
USE SUBSTITUTION
365=((s+5)+15) + (s+5) + s + (2s)
365=5s+25
-25 -25
340=5s
/5 /5
68=s
PLUG IN
t=2(68)=136
f=(68)+5=73
k=(73)+15=88
CHECK
68+136+73+88=365
Please help i’ll give brainliest and please dont say this is east im in 6th and just learned this
Answer:
C
Step-by-step explanation:
1/3 is .3 repeating
and you need to move decimal over twice for a percentage so should be 15%
Find the measure of angle LMN
please help me!!
Solve the inequalities
Answer:
x=3
Step-by-step explanation:
[tex]-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3[/tex]
Step-by-step explanation:
To Solve This Equation You will need to
follow this;Original Equation;
-15x+32=-13
•(Firstly you will Group Like Terms)
-15x=-13-32
•(After Grouping you will go ahead and simplify)
-15x=-13-32
(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)
-15x=-13-32
-15x=-45
(Then you proceed to divide both sides by -15)
x=3
This is because -45 divided by -15 is positive 3
Positive 3 because the negative signs cancel each other out.
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
Answer:
Step-by-step explanation:
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
1 pound of blueberries cost $2.75 yes or no
Answer:
no
Step-by-step explanation:
cause I don't really know
