Answer:
1.
Step-by-step explanation:
∛1= 1.
It can also be seen as:
1×1×1= 1.
-16 + 5x = -7(-6 + 8x) + 3 solvde for x
Answer:
X=1
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
The y-intercept is (0,5)
Step-by-step explanation:
y-intercept can be found by plugging x=0 into given equation
f(x)=5(6)^0=5(1)=5
which same as given y-intercept (0,5)
A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. (Round your answers to four decimal places.) (a) Compute the probability that 2 or fewer will withdraw. (b) Compute the probability that exactly 4 will withdraw. (c) Compute the probability that more than 3 will withdraw. (d) Compute the expected number of withdrawals.
Answer:
(a) Probability that 2 or fewer will withdraw is 0.2061.
(b) Probability that exactly 4 will withdraw is 0.2182.
(c) Probability that more than 3 will withdraw is 0.5886.
(d) The expected number of withdrawals is 4.
Step-by-step explanation:
We are given that a university found that 20% of its students withdraw without completing the introductory statistics course.
Assume that 20 students registered for the course.
The above situation can be represented through binomial distribution;
[tex]P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 20 students
r = number of success
p = probability of success which in our question is probability
that students withdraw without completing the introductory
statistics course, i.e; p = 20%
Let X = Number of students withdraw without completing the introductory statistics course
So, X ~ Binom(n = 20 , p = 0.20)
(a) Probability that 2 or fewer will withdraw is given by = P(X [tex]\leq[/tex] 2)
P(X [tex]\leq[/tex] 2) = P(X = 0) + P(X = 1) + P(X = 2)
= [tex]\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}[/tex]
= [tex]1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}[/tex]
= 0.2061
(b) Probability that exactly 4 will withdraw is given by = P(X = 4)
P(X = 4) = [tex]\binom{20}{4} \times 0.20^{4} \times (1-0.20)^{20-4}[/tex]
= [tex]4845\times 0.20^{4} \times 0.80^{16}[/tex]
= 0.2182
(c) Probability that more than 3 will withdraw is given by = P(X > 3)
P(X > 3) = 1 - P(X [tex]\leq[/tex] 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)
= [tex]1-(\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}+\binom{20}{3} \times 0.20^{3} \times (1-0.20)^{20-3})[/tex]
= [tex]1-(1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}+1140\times 0.20^{3} \times 0.80^{17})[/tex]
= 1 - 0.4114 = 0.5886
(d) The expected number of withdrawals is given by;
E(X) = [tex]n\times p[/tex]
= [tex]20 \times 0.20[/tex] = 4 withdrawals
The rectangle is 3 3⁄4 centimeters long and 2 1⁄2 centimeters wide. What is the area of this rectangle?
Answer:
9.375 cm
Step-by-step explanation:
To find the area of a rectangle you have to multiply the length by the width. In this case, you are multiplying 3.75 by 2.5, which gets you 9.375. Hope this helps !
The tuition at a college was $30,000 in 2012, $31,200 in 2013, and $32,448 in 2014. The tuition has been increasing by the same percentage since the year 2000.
The equation C(T) = LaTeX: 30000\cdot1.04^T
30000
⋅
1.04
T
represents the cost of tuition, in dollars, as a function of T, the number of years since 2012. Explain what the 30,000 and 1.04 tell us about this situation.
What is the percent increase in tuition from year to year?
What does C(3) mean in this situation? Find its value and show your reasoning.
a. Write an expression to represent the cost of tuition in 2007.
b. How much did tuition cost that year?
Previous Next
The meaning of each parameter is given as follows:
30,000: cost in the reference year of 2012.1.04: rate of change.Then the yearly percent increase is of:
4%.
C(3) represents the cost in 2015, which was of $33,746.
a) The expression to represent the cost in 2007 is of: C(-5).
b) The cost was of: $24,658.
How to define an exponential function?An exponential function is defined as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.For this problem, the function is defined as follows:
y = 30000(1.04)^x.
In which:
x is the number of years since 2012.y is the cost in x years after 2012.C(3) represents the cost in 2015 and is obtained as follows:
C(3) = 30000(1.04)^3 = $33,746.
C(-5) represents the cost in 2007 and is obtained as follows:
C(-5) = 30000(1.04)^(-5) = $24,658.
(as 2007 was five years before 2012).
More can be learned about exponential functions at https://brainly.com/question/25537936
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g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer
Answer:
32
Step-by-step explanation:
g(x) = 4x² - 3x + 7
g(3) = 4(3)² - 3(3) + 7
g(3) = 4(9) - 9 + 7
g(3) = 36 - 9 + 7
g(3) = 25 + 7
g(3) = 32
write 3/60 as a fraction in its simplest form
Answer:
3/60 in the simplest form is 1/20
Step-by-step explanation:
You divide the numerator to the denominator. So, in this case I would divide 3 by 60 and I got 20 so 20 would be my denominator and then, I would think how many times can 3 go in 3 and the answer would be one because 3 goes inside 3 only one time so 1/20 would be your answer.
I would like Brainliest please. :)
In the simplest form, we can write the fraction (3/60) as (1/20).
What is fraction? What are mixed fractions?A fraction is expressed in the form of {x/y}, where {y ≠ 0}.For example, we can write 2.3 in the form of fraction as : 2.3 = 23/10 and, we can write 2.2 in the form of fraction as : 2.2 = 22/10 = 11/5Mixed fractions are of the form : [tex]$x\frac{y}{z}[/tex]We can simplify them as : (z × x + y}/zGiven is to write 3/60 as a fraction in its simplest form.
The given fraction is : 3/60
Simplest form means reducing the given fraction in a way such that the numerator and denominator cannot be further subdivided.
In the simplest form, we can write the fraction as -
3/60 = 3/(3 x 20) = 1/20
Therefore, in the simplest form, we can write the fraction (3/60) as (1/20).
To solve more questions on fractions, visit the link below-https://brainly.com/question/10354322
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What is the value of sin(A)
Answer:
6/10
Step-by-step explanation:
An angle whose measure is -102° is in standard position. Which quadrant does the terminal side of the angle fall?
Quadrant 1
Quadrant 2
Cuadrant 3
Cuadrant 4
Answer:3
Step-by-step explanation:
edg
Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09
Answer:
$110,579.39 this is the right answer.
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
Reflection in the x-axis. when you reflect in the x axis, the x -axis remains the same but the y-axis becomes opposite. (It's sign is changed)
OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT
Answer:
19.5 in²
Step-by-step explanation:
Area of rhombus tile = side × height
Area = 3 × 6.5
Area = 19.5 in²
A rhombus, like any parallelogram, has area equal to base times height,
that's 3×6.5 = 19.5 square inches
Answer: 19.5
Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
Factor the expression. K2 - 100h2
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
k^2 - 100h^2
Rewriting as
k^2 - (10h)^2
We recognize this as the difference of squares
We know the difference of squares is factored as a^2 -b^2 = (a-b)(a+b)
(k-10h) (k+10h)
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
What’s the correct answer for this?
Answer:
AB=21 miles
Step-by-step explanation:
Since it's a right angles triangle, we'll use Pythagoras theorem
HYPOTENUSE ²= base² + perpendicular ²
Where hyp=AB, base=16 and perp=13
AB²=16²+13²
AB²=256+169
AB²=425
Taking sq root.
AB=20.6 miles
AB≈21 miles
A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 9 of them are worn out. With this data, we test the following hypotheses at the 5% significance level. The P-value is 0.15
H0: The proportion of tires that are worn out after 60,000 miles is equal to 0.05.
Ha: The proportion of tires that are worn out after 60,000 miles is less than 0.05.
Which of the following conclusions is correct?
A. Accept H0.
B. Fail to reject H0.
C. Reject H0.
Answer:
Fail to reject H₀
Step-by-step explanation:
To reject the null hypothesis, the P-value must be less than 0.05.
Since the P-value is 0.15 which is greater than 0.05, we would fail to reject the null hypothesis as there is no sufficient evidence against the null hypothesis.
Thus, the conclusion would be to fail to reject H₀.
Graph-3x2 + 12y2 = 84. What are the domain and range?
Domain (infinity,infinity)
Range (infinity,[tex]\sqrt{7}[/tex])
a semitruck has 18 wheels. the semitruck has 3 times as many wheels than a garbage truck.how many wheels does a garbage truck have? need by 11;00 am
Answer:
The answer is the garbage truck had 6 wheels
Step-by-step explanation:
Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.
Hope this helps, its my first time answering.
Natalie read 12 books in 8 months. What was her rate of reading in months per book?
If lunch at McDonald's comes to $11.50 and the sales tax rate is 8%, how much would the tax be?
Answer: $0.92
Step-by-step explanation:
$11.50*0.08=0.92
11.50+0.92= $12.42
There were 3,342 students enrolled at a university of those students 587 graduated in may over the sumer 32 students left the university and 645 new students enrolled in the fall how many students were enrolled in the fall
Answer:
645
Step-by-step explanation:
it says 645 were inrolled in the fall
A bag contains 3 red marbles and 6 blue marbles. A second bag contains 6 green marbles and 4 yellow marbles. You choose a marble from bag A and then a marble from bag B, what would be the probability of selecting one blue marble and one yellow marble?
Answer:
4/15
Step-by-step explanation:
Bag A
3 red marbles and 6 blue marbles. = 9 marbles
P(blue) = blue/total =6/9 = 2/3
Bag B
6 green marbles and 4 yellow marbles. = 10 marbles
P(yellow) = yellow/total=4/10 = 2/5
P(blue,yellow) = 2/3 * 2/5 = 4/15
Which statement about the relationship between different types of triangles is true?
An equilateral triangle is never an obtuse triangle.
An equilateral triangle is never an isosceles triangle.
A right triangle is always an isosceles triangle.
An obtuse triangle is always an acute triangle.
Answer:
its "A" because i got it right on my test
Step-by-step explanation:
What graph is produced from the following function: f(x)= 1/4x
Answer:
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The graph is of all the points such that y is 1/4 of x. So, for x=4, y=1, for example. Similarly, for x=-4, y=-1.
These, (4, 1) and (-4, -1), are two points on the graph, which is a straight line through those points and through the origin. The graph extends to infinity to the lower left and the upper right. A portion is shown below.
a candlemaker prices one set of scented candles at $10
y=10x
x= how many candles
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
The answer is yes
Step-by-step explanation:
x-7 > 27
x> 27 +7
x > 34
Answer:
Yes
Step-by-step explanation:
We have the inequality:
x-7 > 27
To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.
x-7+7>27+7
x>34
So, your answer is correct
Need help please no dumb answers I gotta turn it in in five min help a girl out please
Answer:
boo just search the formula dud
its A though
What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2
Answer:
The first choice.
Step-by-step explanation:
6 * 10^8 / 1.5 * 10^-4
= (6/1.5) * (10^(8 - (-4))
= 4 * 10^12.
Answer:
4 x 1012
Step-by-step explanation:
Solve for a
-8 = a(2+5)^2 +41
A. -1
B. 1
C. -2
D. 2
Answer:A
Step-by-step explanation:
-8=a(2+5)^2 + 41
-8=a x 7^2 + 41
-8=a x 7 x 7 +41
-8=49a+41
Collect like terms
-8-41=49a
-49=49a
Divide both sides by 49
-49/49=49a/49
-1=a
a=-1
A teacher of statistics wants to know if a new teaching methodology that includes IT is efficient in terms of increased average score. He took a class with old methodology and a class with new methodology for samples and gave a same test. Open the file by clicking the file name above. Once you open the file and run Excel, you need not open it again. What is Ha? Find it from Excel output that you generate.
a) 0.62.
b) 0.5.
c) 0.31.
d) -0.5.
Answer:
The answer is 0.31
Step-by-step explanation:
Old Method New Method .
Mean 73.5625 Mean 75.70588
Standard Error 3.143736 Standard Error 2.923994
Median 72 Median 75
Mode 90 Mode 64
Standard deviation 12.57494 Standard deviation 12.05594
Sample Variance 158.1292 Sample Variance 145.3456
Kurtosis -1.14544 Kurtosis -0.76646
Skewness 0.171025 Skewness 0.091008
Range 39 Range 41
Minimum 55 Minimum 56
Maximum 94 Maximum 97
Sum 1177 Sum 1287
Count 16 Count 17
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: μNew< μOld
Alternative hypothesis: μNew > μOld
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the mean difference between sample means is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
[tex]SE=\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } \\\\SE=4.29[/tex]
DF = 31
[tex]t = \frac{(x_1-x_2)-d}{SE} \\\\t = - 0.4997[/tex]
where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, n2 is the size of sample 2, x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error.
The observed difference in sample means produced a t statistic of - 0.499. We use the t Distribution Calculator to find P(t < - 0.499) = 0.311
Therefore, the P-value in this analysis is 0.311.
Interpret results. Since the P-value (0.311) is greater than the significance level (0.05), we cannot reject the null hypothesis.
From the above test we do have sufficient evidence in the favor of the claim that new method is efficient than the old method.
