The probability that someone who does not study calculus studies physics is 0.5
Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.
Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.
Given that the number of students who study physics are 600, we have
x + y = 600 (1)
Also, given that the number of students who study calculus are 300, we have
x + z = 300 (2)
From (1)
y = 600 - x
y = 600 - 100
y = 500
So, the probability of students that study only physics = probability that someone who does not study calculus studies physics is
P(physics) = number of students studying only physics/total number of students
= 500/1000
= 5/10
= 0.5
So, probability that someone who does not study calculus studies physics is 0.5
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How do I do this man
Answer:
D
Step-by-step explanation:
g(x)=[tex]-\sqrt[3]{x-1}[/tex]
A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
What is the answer to 14÷22 ?
Answer:
0.63636363636363636
Step-by-step explanation:
14/22
Answer:
7/11 or 0.6363636363... and so on in that pattern.
Step-by-step explanation:
Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).
I hope this answer helped you if it is wrong please let me know. Thank you!
I don’t know the answer for this
Answer:
I think it is probably -12
Step-by-step explanation:
75% of what equals 30
Answer:
30 is 75% of 40
Step-by-step explanation:
We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.
And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.
Hey there!
75% of ? = 30
75% of x = 30
75/100 * x = 30
75 ÷ 25 / 100 ÷ 25 * x = 30
3/4 * x = 30
MULTIPLY 4/3 to BOTH SIDES
4/3 * 3/4x = 4/3 * 30
CANCEL out: 4/3 * 3/4 because that gives you 1
KEEP: 4/3 * 30 because it helps solve for your answer
x = 4/3 * 30
SIMPLIFY IT
x = 40
Therefore, 75% of [40] = 30
Answer: 40
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.
Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.
Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.
Answer:
m=50
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Algebra I
Slope Formula:
Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
By the way this is not my work
Answer:
Use unit converter.
Step-by-step explanation:
Please help, geometry hw
Step-by-step explanation:
use SOHCAHTOA as shown above in the picture
which function is equivalent to f(n)=(n+2)^2+n^2-4
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
Fiill in the table using this function rule. Y=-3x+3
Answer:
3(x+1)
Step-by-step explanation:
What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
(1 point)
8. The ordered pairs (1, 2), (2, 4), (3, 8), (4,16), and (5,32) represent a function. What is a rule
that represents this function?
O y=x^2
O y=2x
O y=2^x
O y=x+2
9514 1404 393
Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
__
If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
=
A student earns $11 per hour for tutoring and $9 per hour as a teacher's aid. Let x = the number of hours each week spent tutoring and y = the number of hours each
week spent as a teacher's aid.
Complete parts (a) through (e)
a. Write the objective function that describes total weekly earnings
Answer:
Total weekly earning = 11x + 9y
Step-by-step explanation:
(a) 11x + 9y = Total weekly earning
The required objective function is 11x + 9y which describes the total weekly earnings.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
We have been given that a tutor makes $11 per hour while a teacher's aide receives $9 per hour.
Let's assume that x represents the number of hours each week spent tutoring and
y represents the number of hours each week spent as a teacher's aide.
According to the given information, we can write the linear function would be as:
⇒ 11x + 9y
Therefore, the required objective function is 11x + 9y which describes the total weekly earnings.
Learn more about the Linear functions here:
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#SPJ2
Can someone write the equation of the line that passes through the points ( -3, 2) and ( -1, 6)? I suck at math and need help.
Answer:
Y=2x+8
Step-by-step explanation:
Plot points on graph and connect with line. Find slope and y intercept
SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4
answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.
answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
What is 10 1/2 divided by 2 1/4
Answer:
14/3 or 4 2/3
Step-by-step explanation:
10 1/2 => 21/2
2 1/4 => 9/4
21/2 divided by 9/4
(Keep, Change, Flip)
21/2 * 9/4
Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.
7/1 *2/3 = 14/3 = 4 2/3
write this number in expanded form three hundred thirty nine thousand six
Answer:
339,006
Step-by-step explanation: i think
Answer:
300,000 + 30,000 + 9,000 + 6
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
Marks brother is five years older than mark. Their combined ages add up to 23. How old is mark?
Answer:Mark would be 11
Step-by-step explanation: If we divide 23 and 2 because there's two people we would get 11.5. Now subtract 11.5 by 5 which is 11. Mark is 11 years old. Good luck!
A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?
Answer:
1. 900 grams
2. 3 eggs
Step-by-step explanation:
1. 150 x 6 = 900
2. 450 / 150 = 3
Answer:
900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.
Step-by-step explanation:
First, multiply the number of large eggs by grams per large egg: 150×6=900
Next, divide the number of grams of flour by grams per large egg: 450/150=3
Simplify as far as possible without using a calculator.
There are integers that are not rational
numbers, true or false?
Answer:
integers are always rational. They don't include decimals
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
All integers are rational numbers, since they can be expressed as a ratio (fraction) with a denominator of 1.
What does x= in the equation, 7(x-5=x+13
Answer:
X equals 8.
Step-by-step explanation:
Firstly, you remove the parentheses
Secondly, you move the terms
Then you collect like terms and add the numbers
Lastly, you divide both sides which gives you 6 x = 48,
so your answer is 8.
Hope this helped.
Answer:
x = 8
Step-by-step explanation:
Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13
7(x - 5) = x + 13
7x - 35 = x + 13 ⇒ expand brackets
7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides
7x = x + 48
7x - x = x + 48 - x ⇒ subtract x from both sides
6x = 48
[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6
x = 8
Hope this helps!
left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis
Answer:-29
Step-by-step explanation:
(-2-4)+(5-10)-6(3)
-6+-5-18
What is the inverse of this function? f(x)=x−7
Answer:
f^−1(x) = x + 7Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
A truck has a bed 6 ft long, 5 ft wide, and
3 ft deep. If it was filled /4 of the way with
dirt. What is the volume of dirt in the bed
of the truck?
Answer:
6*5=30
30*3=90
so if its filled 1/4 forth full
90*1/4=22.5
So the volume of the dirt is 22.5^2 feet of dirt
Hope This Helps!!!
Reduce 45/36 fraction into the
lowest terms.
Answer:
[tex] \frac{5}{4} [/tex]
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
solve pls brainliest
answer I think it
21/16
hop it helps
Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
9514 1404 393
Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year
The business owners that would provide a holiday gift to their employees this year is 21.
Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.
In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.
35% x 60
0.35 x 60 = 21 people
To learn more about percentages, please check: https://brainly.com/question/92258