Answer:
0.9056
Step-by-step explanation:
We are given;
Number of students enrolled in both General Chemistry and Calculus I = 540 students
Number of students who received an A in general chemistry = 51 students
Number of students who received an A in calculus = 59 students
Number of students who received an A in both general chemistry and calculus = 30 students
Now, we want to find the probability that a randomly chosen student did not receive an A in general chemistry.
So, first of all let's calculate number of students who didn't receive an A in chemistry.
So,
No without A in chemistry = 540 - 51 = 489 students
So, probability that a randomly chosen student did not receive an A in general chemistry = 489/540 = 0.9056
how many sixths are in 4
how many two-thirds are in 2
Answer:
24 sixths in 4 and 3 two-thirds
Step-by-step explanation:
6=24 sixths in 4
Answer:
24 sixth's are in 4 and 3 two-third's are in 2
Step-by-step explanation:
4 ÷ 1/6 = 4 * 6 = 24
2 ÷ 2/3 = 2 * 3/2 = 3
Hippocrates magazine states that 32 percent of all Americans take multiple vitamins regularly. Suppose a researcher surveyed 750 people to test this claim and found that 261 did regularly take a multiple vitamin. Is this sufficient evidence to conclude that the actual percentage is different from 32% at the 5% significance level?
Select the [p-value, Decision to Reject (RHo) or Failure to Reject (FRHo)1.
a) [p-value = 0.069, FRHI
b) [p-value = 0.009, RH01
c) [p-value = 0.009, FRHol
d) [p-value = 0.019, FRH)]
e) [p-value = 0.019, RHo]
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 0.32
For the alternative hypothesis,
p ≠ 0.32
This is a two tailed test
Considering the population proportion, probability of success, p = 0.32
q = probability of failure = 1 - p
q = 1 - 0.32 = 0.68
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 261
n = number of samples = 750
P = 261/750 = 0.35
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.35 - 0.32)/√(0.32 × 0.68)/750 = 1.8
Recall, population proportion, p = 0.32
The difference between sample proportion and population proportion(P - p) is 0.35 - 0.32 = 0.03
Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.32 - 0.03 = 0.29
the p for the right tail is 0.32 + 0.03 = 0.35
These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the z score in the right tail 1 - 0.9641 = 0.0359
We would double this area to include the area in the right tail of z = 0.44 Thus
p = 0.0359 × 2 = 0.07
Since alpha, 0.05 < the p value, 0.07 then we would fail to reject the null hypothesis. Therefore, this is not sufficient evidence to conclude that the actual percentage is different from 32% at the 5% significance level.
The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 15 people is selected at random, and the number of hours worked per year per person is given below. Calculate the 98% confidence interval for the mean hours worked per year in this state. Round your answers to the nearest integer and use ascending order.Time205120612162216721692171218021832186219521962198220522102211
Answer:
[tex]2169.67-2.624\frac{48.72}{\sqrt{15}}=2136.66[/tex]
[tex]2169.67+2.624\frac{48.72}{\sqrt{15}}=2202.68[/tex]
And the confidence interval would be given by (2137, 2203)
Step-by-step explanation:
2051 ,2061 ,2162 ,2167 , 2169 ,2171 , 2180 , 2183 , 2186 , 2195 , 2196 , 2198 , 2205 , 2210 ,2211
We can calculate the mean and deviation with these formulas:
[tex]\bar X= \sum_{i=1}^n \frac{x_i}{n}[/tex] (2)
[tex]s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}[/tex] (3)
And we got:
[tex]\bar X=2169.67[/tex] represent the sample mean for the sample
[tex]\mu[/tex] population mean
s=48.72 represent the sample standard deviation
n=15 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The degrees of freedom are given by:
[tex]df=n-1=15-1=14[/tex]
Since the Confidence is 0.98 or 98%, the significance is [tex]\alpha=0.02[/tex] and [tex]\alpha/2 =0.01[/tex], and using excel we calculate the critical value [tex]t_{\alpha/2}=2.624[/tex]
Now we have everything in order to replace into formula (1):
[tex]2169.67-2.624\frac{48.72}{\sqrt{15}}=2136.66[/tex]
[tex]2169.67+2.624\frac{48.72}{\sqrt{15}}=2202.68[/tex]
And the confidence interval would be given by (2137, 2203)
Determine the logarithmic regression of the data below using either a calculator or spreadsheet program. Then, estimate the y value when the x value is 45. Round your answer to one decimal place. (5,6),(10,15),(15,25),(20,27),(25,29),(30,30) Please help right away. I am doing something wrong with my calculations that I got 76.4 and that is not the answer! Again thank you so much!
Answer:
y = - 16.1779 + 14.1087*In(x)
y = 37.5
Step-by-step explanation:
Given the data:
X:5,10,15,20,25,30
Y:6,15,25,27,29,30
General form of a logarithmic fuction:
y = A + BIn(x)
Using the logarithmic regression calculator :
The logarithmic regression model is :
y = - 16.1779 + 14.1087*In(x)
The estimated value of y when x = 45
y = - 16.1779 + 14.1087*In(45)
y = - 16.1779 + 14.1087*3.8066624
y = - 16.1779 + 53.707059
y = 37.529159
y = 37.5
You want to be able to withdraw $4000 a month for 30 years how much would you need to have in your account with an APR of 3.4% to accomplish this goal
Answer:
$904,510.28
Step-by-step explanation:
If we assume the withdrawals are at the beginning of the month, we can use the annuity-due formula.
P = A(1 +r/n)(1 -(1 +r/n)^(-nt))/(r/n)
where r is the APR, n is the number of times interest is compounded per year (12), A is the amount withdrawn, and t is the number of years.
Filling in your values, we have ...
P = $4000(1 +.034/12)(1 -(1 +.034/12)^(-12·30))/(.034/12)
P = $904,510.28
You need to have $904,510.28 in your account when you begin withdrawals.
Answer:
You need to have $904,510.28 in your account when you begin
A sample of a radioactive substance has an initial mass of 58.7 . This substance follows a continuous exponential decay model and has a half-life of 5 hours. (a)Let t be the time (in hours) since the start of the experiment, and let y be the amount of the substance at time t . Write a formula relating y to t. y=__ e^__(t) . Use exact expressions to fill in the missing parts of the formula. Do not use approximations. b)How much will be present in 8 hours? Do not round any intermediate computations, and round your answer to the nearest tenth.
Answer:
a). Y = y0e^-k(t)
b) Y = 19.4 Unit mass
Step-by-step explanation:
Y = y0e^-k(t)
Where y is amount present at the time
Y0 is initial amount present at t = 0
Y0 = 58.7
Half life = 5 hours
At half life , y = 58.7/2
At half life , y = 29.35
K = decaying constant.
Let's look fithe value of k
Y = y0e^-k(t)
29.35 = 58.7e^-k(5)
29.35/58.7 = e^-k(5)
0.5 = e^-k(5)
In 0.5 = -k(5)
-0.69314718 = -k(5)
0.138629436 = k
The value present in 8 hours will be
Y = y0e^-k(t)
Y = 58.7e-0.138629436(8)
Y = 58.7e-1.109035488
Y = 58.7(0.329876978)
Y= 19.36377861
To the nearest tenth
Y = 19.4 unit of mass
Find the domain and range of a function defined by a graph
Question
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Answer: domain (-2, 3] range [-2, 2)
These are the x-values left to right the paretheses ( ) indicates "not equal to" a bracket [ ]
Step-by-step explanation: Domains are the x-values left to right the parentheses ( ) indicates "not equal to" like the open circle on the graph; a bracket [ ] means "and equal to" like the solid circke on the graphed line.
Range means the y-values, bottom to top (least to greatest in math lingo)
On a temperature versus time graph, how does the temperature at the beginning of a change of state compare with the temperature at the end of the change? always lower always the same usually lower usually higher
Answer:
Always the same
Step-by-step explanation:
The temperature at the beginning of a change of state is always the same as the temperature at the end.
This is because phase change is an isothermal process. it means that all the energy absorbed during the phase change process is utilized in the breaking of the bonds in the compound as it changes from one state of matter to another.
As a result, no increase in the temperature of the material will be detected by the thermometer.
help please please i give bralienst don't need to explain just put the number
Answer:
487 ÷ 14
Hope that helps.
quanto e 500x6-51-5x50
Answer:
2699
Step-by-step explanation:
you do all the multiplication first
500×6= 3000
5 ×50 = 250
so it becomes
3000-51-250 = 2699
Answer:
2699
Step-by-step explanation:
When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received is directly proportional to the number of US Dollars to be exchanged. If 550 USD can be converted into 24,334.75 PHP.
Find the constant of proportionality k.
k= ______ (If needed, round answer to 3 decimal places.)
Using the k from above find the amount of PHP given that you have 900 USD to convert. You will receive ________ PHP (If needed, round answer to 2 decimal places.)
Answer:
(a)k=44.245
(b)39820.50 PHP
Step-by-step explanation:
Part A
Let the number of PHP =y
Let the number of USD =x
The number of Philippine Pesos(y) received is directly proportional to the number of US Dollars(x) to be exchanged.
The equation of proportion is: y=kx
If 550 USD can be converted into 24,334.75 PHP.
x=550y=24,334.75Substitution into y=kx gives:
[tex]24,334.75=550k\\$Divide both sides by 550$\\k=24,334.75 \div 550\\k=44.245[/tex]
The constant of proportionality k=44.245
Part B
The equation connecting y and x then becomes:
y=44.245x
If x=900 USD
Then:
y=44.245 X 900
y= 39820.50
Therefore, given that you have 900 USD to convert. You will receive 39820.50 PHP
hi i will give 50 POINTS and BRAINLIEST to whoever answers this question
Answer:
[tex]Area \ of \ Triangle = 152.46 \ m^2[/tex]
Step-by-step explanation:
[tex]Area \ of \ Triangle = \frac{1}{2} (Base)(Height)\\Where \ base = 23.1 \ m\ and \ Height = 13.2 m\\Area \ of \ triangle = \frac{1}{2} (23.1)(13.2)\\Area \ of \ triangle = \frac{304.92}{2}[/tex]
[tex]Area \ of \ Triangle = 152.46 \ m^2[/tex]
P.s. Don't lie about points
Step-by-step explanation:
ea of Triangle=152.46 m2
Step-by-step explanation:
\begin{gathered}Area \ of \ Triangle = \frac{1}{2} (Base)(Height)\\Where \ base = 23.1 \ m\ and \ Height = 13.2 m\\Area \ of \ triangle = \frac{1}{2} (23.1)(13.2)\\Area \ of \ triangle = \frac{304.92}{2}\end{gathered}Area of Triangle=21(Base)(Height)Where base=23.1 m and Height=13.2mArea of triangle=21(23.1)(13.2)Area of triangle=2304.92
Area \ of \ Triangle = 152.46 \ m^2Area of Triangle=152.46 m2
P.s. Don't lie about points
5. In the figure below, triangles CPW and
BHM are congruent. Which statement must be true?
Answer:
C. side CW ≅ side BM,
Step-by-step explanation:
When two triangles are said to be congruent, it means they have the same shape and size. This implies that their corresponding sides and corresponding angles are equal.
Therefore, given that triangles CPW and BHM are congruent, their corresponding sides should be equal.
Thus, the statement side CW ≅ side BM, must be true.
Other statements given are not true.
ga political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 8% margin of error at a 95% cnofidence level, what size of sample is needed
Answer: 151
Step-by-step explanation:
if prior population proportion is unknown , then the formula is used to find the sample size :
[tex]n=0.25(\frac{z_{\alpha/2}}{E})^2[/tex]
, where [tex]z_{\alpha/2}[/tex] = Two tailed critical value for significance level of [tex]\alpha.[/tex]
E = Margin of error.
Given : margin of error = 8%= .08
For 95% confidence level , two tailed critical value = 1.96
Now, the required sample size :
[tex]n=0.25(\frac{1.96}{0.08})^2\\\\=0.25(24.5)^2\\\\=150.0625\approx151[/tex]
Hence, the size of the sample needed = 151.
Which monomial is a perfect cube? I I A 1x3 B 3x3 C 6x3 D 9x3
Answer:
option D 9x³
Step-by-step explanation:
the monomial 9x³ comes from (3x)³, which gives, 3×3×3×x×x×x= 9x³
9 is 3 times 3 and x³ is 3 times x. So here, 9x³ is a perfect cube
Match each phrase on the left with every correct temperature on the right. Some
answer choices on the right will not be used.
Freezing point of water
0°C
Boiling point of water
0°F.
32°F
100°C
212°F
100°F
What is the sqr root of x times the sqr root of x?
Answer:
Just x
Step-by-step explanation:
√x times √x equals √x²
√x² = x
Please answer this correctly
Answer:
2/7
Step-by-step explanation:
The numbers greater than 7 or less than 3 are 2 and 8.
2 numbers out of 7.
P(greater than 7 or less than 3) = 2/7
Answer:
2/7
Step-by-step explanation:
There are a total of 7 sample spaces also known as 2,3,4,5,6,7,8. Now we have to find a number greater than 7 and less than 3. 2 is less than 3, and 8 is greater than 7, so two numbers are selected. This would become 2/7 because out of all of the 7 outcomes, only two are selected.
How many different words can be formed with the letters AAAABBCCD (not necessarily meaningful words)?
Please help me with this. Other answers did not work.
Answer:
the answer is 9! ÷ (4! * 2! * 2!)
Step-by-step explanation:
The different words that can be formed with the letters AAAABBCCD will be 3780.
What is permutation?
The permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.
We have,
AAAABBCCD
i.e.
Total number of letters = 9
Letter A repeated = 4 times
Letter B repeated = 2 times
Letter C repeated = 2 times
Now,
Using the permutation formula,
Permutation (ⁿPr) = n! / r!
So,
Number of ways = 9! / [ 4! × 2! × 2!] = [9 × 8 × 7 × 6 × 5 × 4!] / [ 4! × 2! × 2!] = 3780
Hence we can say that the different words that can be formed with the letters AAAABBCCD will be 3780.
To learn more about Permutation click here,
https://brainly.com/question/1216161
#SPJ2
find the value of x...
Answer:
x = 7
Step-by-step explanation:
This problem can be solved using angular bisector theorem.
It states that if any angle of triangle is bisected by a line , then that line
divides the opposite side of that angle in same proportion as that of two other sides which contain the angle.
__________________________________
Here one angle is is divided into parts theta
Thus,
using angular bisector theorem
14/21 = 6/3x-12
=> 14(3x-12) = 21*6
=> 3x-12 = 21*6/14 = 9
=> 3x = 12+9 = 21
=> x = 21/3 = 7
Thus, x = 7
Write an equation that is 10 less than 3 times a number y, multiplied by 2 and divided by 4. (10 less than 3 times a number y is to be done first)
Answer: (3y - 10)*2÷4
Step-by-step explanation:
Because 10 less than 3 times a number, y, is done first, it is in parenthesis. The 3 is there to represent the "three times" and the -10 is there to represent the "ten less". The *2 is there to represent the "multiplied by two" and the ÷4 is there to represent the "divided by 4"
Hope it helps, and tyvm <3
Answer:
[tex]\displaystyle \frac{2(3y - 10)}{4}[/tex]
Step-by-step explanation:
10 less than 3 times y.
The variable y is multiplied by 3, 10 is subtracted from 3 × y.
The result 3y - 10 is then multiplied by 2.
2(3y - 10) is then divided by 4.
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal. Triangle A B C has angle measures 50 degrees, 40 degrees, and 90 degrees. Triangle A B C has angle measures 45 degrees, 45 degrees, 90 degrees. The lengths of sides A C and C B are congruent. Triangle A B C has angle measures 68 degrees, 22 degrees, and 90 degrees. Triangle A B C has angle measures 60 degrees, 30 degrees, and 90 degrees.
Answer:
The sine and cosine are equal for 45 degrees.
Choose the triangle that has a 45-deg angle.
Answer:
Answer is the second choice
Step-by-step explanation:
jut did it on edge
1
Find the distance between (-2,3) and
(4,-1). * m
(1 Point)
Answer:
so the distance between two points is (2√13)
Step-by-step explanation:
we have to find the distance between two points
d=√(x2-x1)²+(y2-y1)²
putting the values of coordinates
d=√(4--2)²+(-1-3)²
d=√(6)²+(-4)²
d=√36+16
d=√52
d=2√13
i hope this will help you :)
A daffodil grows 0.05m every day. Plot the growth of the flower if the initial length of the daffodil is 0.8m and hence give the length of the daffodil on the 8th day.
Answer:
1.2m
Step-by-step explanation:
You must first find out how much the daffodil grew over the 8 days:
0.05 x 8 = 0.4
Then you must add how much it grew to the original height:
0.4 + 0.8 = 1.2
Hope this helps you out! : )
the length of the daffodil on the 8th day is 1.2m.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
A daffodil grows 0.05m every day.
the initial length of the daffodil is 0.8m.
You must first find out how much the daffodil grew over the 8 days:
0.05 x 8 = 0.4
Then you must add how much it grew to the original height:
0.4 + 0.8 = 1.2
hence, the length of the daffodil on the 8th day is 1.2m.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Factor this trinomial.
х^2 - 9х+ 20
А. (х- 4)(х+ 5)
В. (х-2)(х+ 10)
С. (х-2)(х- 10)
D. (x-4)(х - 5)
Answer:
D
Step-by-step explanation:
We're looking for two numbers that have a sum of -9 and a product of 40. These 2 numbers are -4 and -5 so the answer is (x - 4)(x - 5).
Answer:
(x-4)(x-5)
Step-by-step explanation:
х^2 - 9х+ 20
What 2 numbers multiply to 20 and add to -9
-4*-5 = 20
-4+-5 = -9
(x-4)(x-5)
Katie is making hair clips to sell at the craft fair. To make each hair clip, she uses 1 barrette and 1 precut ribbon. The barrettes are sold in packs of 12, and the precut ribbons are sold in packs of 9. How many packs of each item does she need to buy to make the least number of hair clips with no supplies left over?
Answer:
3 packs of barrettes and 4 packs of ribbons.
Step-by-step explanation:
All we need to do here is to find the least common multiple between 12 and 9.
We can factor both of these numbers to do so.
12: 3*4: 3*2*2
9: 3*3
We can cancel out one 3 (since it appears in both prime factorizations) and multiply what we have left to find the LCM.
2*2*3*3=36
This means that she will be making 36 clips/needs 36 of each item.
36/12=3
3 packs of barretes.
36/9=4
4 packs of ribbons.
An object is dropped from the top of a tower with a height of 1160 feet. Neglecting air resistance, the height of the object at time t seconds is given by the
polynomial - 16t square + 1160. Find the height of the object at t = 1 second.
The height of the object at 1 second is feet.
Answer:
Height at t = 1 sec is 1144 ft
Step-by-step explanation:
Given:
Initial height of object = 1160 feet
Height of object after t seconds is given by the polynomial:
[tex]- 16t ^2+ 1160[/tex]
Let [tex]h(t)=- 16t ^2+ 1160[/tex]
Let us analyze the given equation once.
[tex]t^2[/tex] will always be positive.
and coefficient of [tex]t^2[/tex] is [tex]-16[/tex] i.e. negative value.
It means something is subtracted from 1160 ft (i.e. the initial height).
So, height will keep on decreasing with increasing value of t.
Also, given that the object is dropped from the top of a tower.
To find:
Height of object at t = 1 sec.
OR
[tex]h (1)[/tex] = ?
Solution:
Let us put t = 1 in the given equation: [tex]h(t)=- 16t ^2+ 1160[/tex]
[tex]h(1)=- 16\times 1 ^2+ 1160\\\Rightarrow h(1) = -16 + 1160\\\Rightarrow h(1) = 1144\ ft[/tex]
So, height of object at t = 1 sec is 1144 ft.
What is the length of Line segment B C?
11
23
40
60
Answer:
40
Step-by-step explanation:
An isosceles triangle is a triangle that has 2 congruent/equal sides and 2 congruent angles.
Side AB and side BC are the same length (the red tick marks shows that the sides are congruent)
Since they are the same length, you can set them equal to each other
Side AB = Side BC
x + 17 = 2x - 6 Subtract x on both sides
17 = x - 6 Add 6 on both sides
23 = x
Now that you know "x", you can find the length of Side BC:
2x - 6 Plug in 23 for "x"
2(23) - 6
46 - 6 = 40
Answer:
Yes, the answer is C! (40)
Suppose you are told that the grades of the nal exam of your class follows a normal distribution. The average score is 65 and the variance is 12. What is the the probability of a random classmate getting a score more than 80?
Answer:
0% probability of a random classmate getting a score more than 80
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 65, \sigma = \sqrt{12} = 3.4641[/tex]
What is the the probability of a random classmate getting a score more than 80?
This is 1 subtracted by the pvalue of Z when X = 80. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 65}{3.4641}[/tex]
[tex]Z = 4.33[/tex]
[tex]Z = 4.33[/tex] has a pvalue of 1
1 - 1 = 0
0% probability of a random classmate getting a score more than 80
Need help withGraph a circle
Step-by-step explanation:
The equation of this circle is:
(x-3)^2 +(y+5)^2 = 16
The equatiin of a circle in general is:
(x-a)^2 +(y-b)^2 = r^2
a and b are the coordinates of the center and r is the radius
● in the given equation: (x-3)^2 + (y+5)^2 = 16
-3 and 5 are the coordinates if the center so start by ploting the center in the point (-3,5)
16 is the radius multiplied by itself
16 is 4×4 so the radius is 4
Take a four unit radius from the center and strat drawing your circle using a compass