Answer:
Step-by-step explanation:
154 scholars chose to go to the amusement park.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of scholars who chose to go to the amusement park and y represent the number of scholars who chose to go to the zoo.
scholars who chose to go to the amusement park is 140% of the number of scholars who chose to go to the zoo. Hence:
x = 140% of y = 1.4y
Also, There are 264 scholars in the sixth grade, hence:
x + y = 264
1.4y + y = 264
y = 110
x = 1.4(110) = 154
154 scholars chose to go to the amusement park.
Find out more on equation at: https://brainly.com/question/2972832
Solve the system by substitution
Answer:
(-5, -30)
Step-by-step explanation:
We start with the equation:
y = 6x
y = -4x - 50
Since both of them are equal to y, we can substitute the 6x into y. So:
6x = -4x - 50
Now we can solve for x. Add 4x to both sides...
6x = -4x - 50
+4x +4x
10x = -50
Now, divide both sides by 10.
10x = -50
10 10
x = -5
So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.
y = 6(-5)
y = -30
And...
y = -4(-5) - 50
y = 20 - 50
y = -30
As you can see, both equations show that y = -30. To check our work, let's plug in the values.
-30 = 6(-5)
-30 = -30
Also:
-30 = -4(-5) - 50
-30 = -20 - 50
-30 = -30
So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
The incomes in a certain large population of college teachers have a normal distribution with mean $75,000 and standard deviation $8,000. Sixteen teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
0.1056 = 10.56% probability that their average salary is more than $77,500.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean $75,000 and standard deviation $8,000.
This means that [tex]\mu = 75000, \sigma = 8000[/tex]
Sample of 16
This means that [tex]n = 16, s = \frac{8000}{\sqrt{16}} = 2000[/tex]
What is the probability that their average salary is more than $77,500?
This is 1 subtracted by the pvalue of Z when X = 77500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{77500 - 75000}{2000}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944
1 - 0.8944 = 0.1056
0.1056 = 10.56% probability that their average salary is more than $77,500.
Could you guys help me?
Answer:
its 1881
Step-by-step explanation:
banakz akaknsz a a
What’s the derivative of x^2 - 3
Answer:
[tex]\displaystyle \frac{dy}{dx} = 2x[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = x^2 - 3[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{d}{dx}[x^2] - \frac{d}{dx}[3][/tex]Basic Power Rule: [tex]\displaystyle y' = 2x[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
25. Angie inherits a collection of 4213 antique duck-calls from her grandmother. If she goes around to yard sales and adds another 3 duck-calls to the collection every weekend, what's an equation that models her total collection?
A) y = 3x
B) y= 3x - 4213
C) y= 3x + 4213
D) y = 4213x+ 3
Answer:
C
Step-by-step explanation:
Angie already has a fixed number of antiques - 4213 antiques. the rate of increase of ducks would depend on the number of weekends. this is the variable number of antiques
thus the equation is :
y = 4213 + 3x
What is the sum? Keep your answer in scientific notation.
3 x 10^6 and 3 x 10^6
Answer:
9 x 10^12
Step-by-step explanation:
for multiplying scientific notation, you multiply the numbers (3 x 3) and add the exponents together (6 + 6) to get 9 x 10^12
Emma placed 100 golf balls in a bag. Thirty six of the golf balls were red 24 were blue and the rest were green . If Emma drew one golf ball from the bag without looking what is the probability that the golf ball was red
Answer:
0.36
Step-by-step explanation:
R=36
B=24
total=100
probability that its red =36/100
Sylvie made the solid figures shown using unit cubes. Which statement about these models is true? Model A Model B
A The volume of Model A is 10 cubic units less than the volume of Model B.
B. The volume of Model B is 4 cubic units greater than the volume of Model A.
C. The volume of Model A and Model B combined is 54 cubic units
D. Model A and Model B have the same volume
What is the volume of the sphere shown below?
13
image below
The graph of an exponential function is a curve because it has which of the following?
A constant rate of change
A changing rate of change
All rational numbers
All irrational numbers
What is the determinant of the coefficient matrix of the system 9x+ Oy + 5z -
6x+ Oy- 12z - 3
-3x+Oy- 2z = 6 ?
0
3
6
7
Answer:
A)0
just did test on edge
Step-by-step explanation:
help me pls i will give brainlyest
Answer:
D. 36, 12
Step-by-step explanation:
Okay, so for the first part (how many total students are in Ms. Smith's class) all we need to do is count all the dots. So there's 5 in the none category, 6 in the one category, 1 in the two category, 6 in the three category, 8 in the four category, 5 in the five category, 2 in the six, 2 in the seven, and 1 in the nine, so we add all that up:
5 + 6 + 1 + 6 + 8 + 5 + 2 + 2 + 1 = 36
So there's 36 students total in Ms. Smith's class
Now we have to count how many students have less than 3 siblings, so we're going through the 0 - 2 categories:
5 + 6 + 1 = 12
So there's 12 students in Ms. Smith's class with less than 3 siblings
let me know if this is wrong
hope this helps:)
Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.
Answer:
0.877 but rounded it will be 0.88
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Answer:
65850
Explanation:
Let L be the cost of a laptop and X be the cost of a desktop.
5L + X = 229600.
5L is 163750 and 229600-163750 is 65850.
Answer:
D = taka 65850
Step-by-step explanation:
L = 5
D = desktop
32750L + D = 229600
32750(5) + D = 229600
---> D = taka 65850
40% of the class of 30 students are boys.
How many are girls?
Answer:
60% are girls
60% of 40=6*40=24
Step-by-step explanation: Hope this help :D
Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
City A: {4, 3.5, 5, 5.5, 4, 2}
City B: {5, 6, 3.5, 5.5, 4, 6}
(a) What is the mean monthly rainfall amount for each city?
(b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth.
(c) What is the median for each city?
Answer:
City A: {2, 3.5, 4, 4, 5, 5.5}
City B: {3.5, 4, 5, 5.5, 6, 6}
Mean is the average.
Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)
Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)
Mean Absolute Deviation
Mean Absolute Deviation of City A = 0.8
Mean Absolute Deviation of City B = 0.8
Median is the middle (after putting it in order least to greatest)
Median of City A = 4
Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)
Step-by-step explanation:
hope this helps!
help please!!!! need it asap
In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.
Which equation can be used to find the nth term of the sequence, an?
an = 10 * 2n-1
an = 2n-1
an = 1/5 * 10n-1
an = 2 * 18n-1
Answer:
the first one
the first one Step-by-step explanation:
the first one Step-by-step explanation:from the formula Un =ar^n-1
where a is 2
where a is 2 r = 20/2=10
where a is 2 r = 20/2=10 so Un= 10×2^n-1
that's all.....have fun
Answer:
C.) an =1/5 * 10n-1
Step-by-step explanation:
D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.
Leaveing your answer...
can u plz help me? plz think ok
ps: Wetzucchini i know u try to hack me and put a vires on me
Answer:
Piece of wood 2
Step-by-step explanation:
Because he have to cut only 0,06 cm
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar. The chef wants to make 310 milliliters of a mixture that contains 19% vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation: We substitute the value of B into one of the two equations and solve for A.
Which One Doesn’t Belong?
7.9x
7.9 (-10)
7.9 + x
-79
Answer:
in the 1 one of you choice
Step-by-step explanation:
1. A cardboard box is 5 feet long, 1.5 feet
wide, and 2 feet high. Which of the
following answers is closest to the
volume of the box in cubic feet?
A. 8.5 ft.3
B. 15 ft.3
C. 18 ft.3
D. 24 ft.3
Answer:
The correct answer is B.
Step-by-step explanation:
V=whl=1.5·2·5=15
Answer:
B. 15 ft.3
Step-by-step explanation:
multiply all the measurements to find the volume :)
HELP!!!!!!!!!!
A student divided f(x) = 3x^3 + 8x^2 + 5x – 4 by x + 2 and found the remainder was r = -6. Based
on the remainder theorem, what can be concluded about f(x)?
Answer:a
Step-by-step explanation:
The point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Let's suppose the divisor is Q
Then from the remainder theorem:
f(x) = (x+2)Q -6
[tex]\rm 3x^3+8x^2+5x-4=(x+2)Q-6[/tex]
If we put x = -2, then
[tex]\rm 3(-2)^3+8(-2)^2+5(-2)-4=(-2+2)Q-6[/tex]
[tex]\rm 3\times-8+8\times4-10-4=-6[/tex]
-24 + 32 -10 -4 = -6
-6 = -6
It means (-2, -6) lies on the function(also refer the graph of the function)
Thus, the point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
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Provide an expression that is equivalent to -2(y-6) ?
Answer:
-2y + 12
Step-by-step explanation:
-2(y - 6)
-2y + 12
SOMEONE PLZ HELP A$AP
Answer:
<
Step-by-step explanation:
I used a scientific calculator, 2² is 4 and when I take 4.7 × 10-³ minus 4 the answer is negative, so I'm guessing that it's a number less than 4.
Again, I haven't learned this yet since I'm 12 so it might be wrong.
Is 2/10 smaller than 19/100?
Answer:
Step-by-step explanation:
no cause 2/10 is the same as 20/100
An expression is shown.
12. 12. 12. 12 +7(3-3-3-3+3)
Which of the following shows this expression written using exponents?
А 4^12 + 7 (53)
B 4^12 + 7 (43+3)
C 12^4+7 (3^5)
D 12^4 +7 (3^4+3)
Answer:
im pretty sure its D :) hope this helps you out.
5. Brianna earns $19,500 per year. Lisa earns $1,000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa. *
Answer:
19,500 - (1,000 x 12) = X
Brianna earns $ 7,500 more than Lisa per year.
Step-by-step explanation:
Given that Brianna earns $ 19,500 per year and Lisa earns $ 1,000 per month, to write a numerical expression that represents how much more Brianna earns per year than Lisa the following calculations and equations must be performed:
19,500 - (1,000 x 12) = X
19,500 - 12,000 = X
7,500 = X
Thus, Brianna earns $ 7,500 more than Lisa throughout the year.
if pablo does a experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times
Why?
Answer:
As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.
Step-by-step explanation:
This is the sample for edmentum so you might to change it up a bit! Hope this help. <33