Answer:
x≤9
Step-by-step explanation:
x−15≤−6
Add 15 to each side
x−15+15≤−6+15
x≤9
Answer:
[tex]\boxed{x\leq 9}[/tex]
Step-by-step explanation:
[tex]x-15 \leq -6[/tex]
[tex]\sf Add \ 15 \ to \ both \ parts.[/tex]
[tex]x-15 +15 \leq -6+15[/tex]
[tex]x\leq 9[/tex]
Suppose , varies jointly with g and v, and j = 2 when g = 4 and v= 3.
Find j when g = 8 and v= 11.
Answer:
j = 44/3
Step-by-step explanation:
j varies jointly as g and v. This can be represented mathematically as:
[tex]j \alpha gv\\j = kgv[/tex].............(1)
Where k is a constant of proportionality
j = 2 when g = 4 and v = 3
Substitute these values into equation (1)
2 = k * 4 * 3
2 = 12 k
k = 1/6
when g = 8 and v = 11:
j = (1/6) * 8 * 11
j = 44/3
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Does hypnotism appear to be effective in reducing pain? In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the difference in the measurements on a pain scale before and after hypnosis. What is the test statistic for this hypothesis test?
Answer:
Step-by-step explanation:
Hello!
This is an example of a pared sample test, the experiment is based on two dependent variables:
X₁: centimeters on a pain scale before hypnosis
X₂: centimeters on a pain scale after hypnosis
Out of these two variables a new variable is determined Xd= X₁-X₂
If the variables have an approximate normal distribution then the variable resulting from their difference will also have an approximate normal distribution.
The claim is that "hypnosis reduced the pain" if so you'd expect the population mean of the difference to be less than zero, symbolically: μd<0
The statistic for this test is a paired sample t test:
[tex]t= \frac{\frac{}{X_d} - Mu_d}{Sd} ~t_{n-1}[/tex]
To calculate the sample mean and variance you have to calculate the difference between the pairs first.
[tex]\frac{}{Xd}[/tex]= ∑Dif/n
[tex]S_d^2= \frac{1}{n-1} [sumDif^2- \frac{(sumDif)^2}{n} ][/tex]
∑Dif= 6.4
∑Dif²= 12.64
[tex]\frac{}{Xd}[/tex]= 6.4/5= 1.28
[tex]S_d^2= \frac{1}{4} [12.64- \frac{(6.4)^2}{5} ]= 1.112[/tex]
Sd= 1.05
[tex]t_{H_0}= \frac{\frac{}{Xd}-Mu_d }{Sd} = \frac{1.28-0}{1.05} = 1.219= 1.22[/tex]
I hope this helps!
Determine whether 52c2y4 is a monomial, binomial, trinomial, or other polynomial.
Answer: Monomial.
Step-by-step explanation:
Ok, when we have a polynomial with only one term, this is a monomial.
If the polynomial has two terms, this is a binomial.
If the polynomial has 3 terms, this is a trinomial.
And so on.
In this particular case we have:
52*c^2*y^4
Where c and y may be variables.
We can see that here we have only one term, so this would be a monomial.
(notice that the number of variables does not affect the type of polynomial in this case, only the number of terms)
Answer:
binomial.
Step-by-step explanation:
The polynomial −50c3z3−41y220z4 has 2 terms, so it is a binomial.
Please answer this correctly without making mistakes
Simplify the correct answer
Answer:
7/44
Step-by-step explanation:
First find the total number of presidents.
2 + 7 + 13 + 12 + 7 + 3 = 44
There were 7 presidents that were 45-49 when elected. Divide this number by the total number of presidents to find the fraction.
7/44 ≈ 0.159
nineteen multiplied by twenty five
Answer:
19*25= 475
Step-by-step explanation:
You can either use a calculator or use the standard operation
9. A college financial advisor wants to estimate the mean cost of textbooks per quarter for students at the college. For the estimate to be useful, it should have a margin of error of 20 dollars or less. The standard deviation of prices is estimated to be around 100 dollars. How large of a sample size needs to be used to be 95% confident, with the given margin of error?
Answer: 97
Step-by-step explanation:
Formula to compute the required sample size :
[tex]n= (\dfrac{\sigma\times z_{\alpha/2}}{E})^2[/tex]
, where [tex]\sigma[/tex] = standard deviation
E= Margin of error
[tex]z_{\alpha/2}[/tex] = Two tailed z-value.
Here, E= 20
[tex]\sigma[/tex] = 100
For 95% confidence level: [tex]z_{\alpha/2}[/tex] =1.96
Required sample size:
[tex]n=(\dfrac{100\times1.96}{20})^2\\\\=(5\times1.96)^2\\\\=96.04\approx97[/tex]
Hence, the required sample size : 97
linear regression model describing the relationship between the carat weight and price of very high quality diamonds is summarized below.
A diamond seller lists a very high quality diamond weighing 0.8 carats at a price of $10,999. Does this model over- or under-predict the price of this diamond? Select the option below that best summarizes the answer.
A. The model under-predicts the price of this diamond because the residual is positive.
B. The model over-predicts the price of this diamond because the residual is positive.
C. The model over-predicts the price of this diamond because the residual is negative.
D. We do not have enough information to answer this question.
E. The model under-predicts the price of this diamond because the residual is negative.
Answer:
A. The model under-predicts the price of this diamond because the residual is positive.
Step-by-step explanation:
The diamond seller has listed its 0.8 weighting diamonds at a price of $10,999. The price of the diamond is set as the market maker. The model is used to predict the price of the diamonds. This model has under predicted the value of diamonds and actual price of diamonds must be higher.
Name x1, x2, y1 and y2. Then, find the distance between the points.
Answer:
(5,6), (-2,8)
Step-by-step explanation:
I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne
Evaluate the series
Answer:
the value of the series;
[tex]\sum_{k=1}^{6}(25-k^2) = 59[/tex]
C) 59
Step-by-step explanation:
Recall that;
[tex]\sum_{1}^{n}a_n = a_1+a_2+...+a_n\\[/tex]
Therefore, we can evaluate the series;
[tex]\sum_{k=1}^{6}(25-k^2)[/tex]
by summing the values of the series within that interval.
the values of the series are evaluated by substituting the corresponding values of k into the equation.
[tex]\sum_{k=1}^{6}(25-k^2) =(25-1^2)+(25-2^2)+(25-3^2)+(25-4^2)+(25-5^2)+(25-6^2)\\\sum_{k=1}^{6}(25-k^2) =(25-1)+(25-4)+(25-9)+(25-16)+(25-25)+(25-36)\\\sum_{k=1}^{6}(25-k^2) =24+21+16+9+0+(-11)\\\sum_{k=1}^{6}(25-k^2) = 59\\[/tex]
So, the value of the series;
[tex]\sum_{k=1}^{6}(25-k^2) = 59[/tex]
The owner of a shoe store wanted to determine whether the average customer bought more than $100 worth of shoes. She randomly selected 10 receipts and identified the total spent by each customer. The totals (rounded to the nearest dollar) are given below.
Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether the mean is greater than $100 and then draw a conclusion in the context of the problem. Use α=0.05.
125 99 219 65 109 89 79 119 95 135
Select the correct answer below:
A) Reject the null hypothesis. There is sufficient evidence to conclude that the mean is greater than $100.
B) Reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than $100.
C) Fail to reject the null hypothesis. There is sufficient evidence to conclude that the mean is greater than $100.
D) Fail to reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than $100.
Answer:
D) Fail to reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than $100.
Step-by-step explanation:
We are given that the owner of a shoe store randomly selected 10 receipts and identified the total spent by each customer. The totals (rounded to the nearest dollar) are given below;
X: 125, 99, 219, 65, 109, 89, 79, 119, 95, 135.
Let [tex]\mu[/tex] = average customer bought worth of shoes.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] $100 {means that the mean is smaller than or equal to $100}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > $100 {means that the mean is greater than $100}
The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = $113.4
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = $42.78
n = sample of receipts = 10
So, the test statistics = [tex]\frac{113.4-100}{\frac{42.78}{\sqrt{10} } }[/tex] ~ [tex]t_9[/tex]
= 0.991
The value of t-test statistics is 0.991.
Now, at a 0.05 level of significance, the t table gives a critical value of 1.833 at 9 degrees of freedom for the right-tailed test.
Since the value of our test statistics is less than the critical value of t as 0.991 < 1.833, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the mean is smaller than or equal to $100.
The vector x is in a subspace H with a basis Bequals{Bold b 1,Bold b 2}. Find the B-coordinate vector of x. Bold b 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ], Bold b 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column negative 7 3rd Row 1st Column 11 EndMatrix ], xequals[Start 3 By 1 Matrix 1st Row 1st Column negative 10 2nd Row 1st Column negative 17 3rd Row 1st Column 27 EndMatrix ]
Answer and Step-by-step explanation: To find the B-coordinate vector of x:
[tex]b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right][/tex] , [tex]b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right][/tex], x = [tex]\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right][/tex]
The augmented matrix will be:
[tex]\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right][/tex]
Transforming into reduced row-echelon form:
= [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right][/tex]
The values for the vector will be:
x = 2
y = 3
The B-coordinate vector is of the form:
V = [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]
The B-coordinate vector of x is V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]
A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 33 days.
Answer:
Below
Step-by-step explanation:
The initial length of the road was 56. 56 is the y-intercept assuming that the graph of this function is a line.
so the equation is:
y= mx+56
m is the slope of the function wich is by how much the function grows.
By analogy, m is the distance added to the road each day.
● y= 3x+56
X is the number of days.
■■■■■■■■■■■■■■■■■■■■■■■■■■
To find the length of the road after 33 days, replace x by 33.
y= 3*33+56 = 155
So after 33 days the road is 155 miles.
expand (x+2y)^2 plzzzzzzzz
A bag contains six balls labeled 1 through 6. One ball will be randomly picked.
What is the probability of picking an odd number?
Write your answer as a fraction in simplest form.
S = sample space = set of all possible outcomes
S = set of whole numbers 1 through 6
S = {1,2,3,4,5,6}
E = event space = set of outcomes we want to happen
E = set of odd numbers between 1 through 6
E = {1,3,5}
We have 3 items in set E and 6 items in set S. So there are 3 ways to get what we want to happen out of 6 ways total. The probability is therefore 3/6 = 1/2
Answer: 1/2PLEASE HELP!!! The side lengths of a square are each 5q. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle? a. 10q^2-6 b. 9q^2+25 c. 25q^2-9 d. 25q^2-30q-9
The area of the rectangle is [tex]25q^2-9[/tex].
Area of the rectangleThe area of the rectangle is the product of length and width.
How to determine the area of the rectangle?The length of the sides of the square is 5q.
3 is added and 3 is subtracted to the length and the width of the square so, the dimensions of the new quadrilateral is (5q+3) and (5q-3).
So, the area of the rectangle is-
[tex]A=(5q+3)\times (5q-3)\\=25q^2-9[/tex]
Thus, the area of the rectangle is [tex]25q^2-9[/tex].
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Answer:25q^2-9
Step-by-step explanation:
your welcomeeeeeeee
A lease provides that the tenant pays $760 minimum rent per month plus 4% of the gross sales in excess of $150,000 per year. If the tenant paid a total rent of $20,520 last year, what was the gross sales volume?
Answer:
$435,000
Step-by-step explanation:
$760 per month * 12 months = $9,120
The minimum rent requires an annual rental cost of $9,120.
The annual rent was $20,520.
The excess was $20,520 - $9,120 = $11,400.
The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.
$11,400 is 4% of the amount in excess of $150,000.
Let the amount in excess of $150,000 = x.
$11,400 = 4% of x
0.04x = 11,400
x = 285,000
$285,000 is the amount in excess of $150,000.
Total gross sales volume = $285,000 + $150,000 = $435,000
convert the equation y= -4x + 2/3 into general form equation and find t the values of A,B and C.
Answer:
Standard form: [tex]12x+3y-2=0[/tex]
A = 12, B = 3 and C = -2
Step-by-step explanation:
Given:
The equation:
[tex]y= -4x + \dfrac{2}3[/tex]
To find:
The standard form of given equation and find A, B and C.
Solution:
First of all, let us write the standard form of an equation.
Standard form of an equation is represented as:
[tex]Ax+By+C=0[/tex]
A is the coefficient of x and can be positive or negative.
B is the coefficient of y and can be positive or negative.
C can also be positive or negative.
Now, let us consider the given equation:
[tex]y= -4x + \dfrac{2}3[/tex]
Multiplying the whole equation with 3 first:
[tex]3 \times y= 3 \times -4x + 3 \times \dfrac{2}3\\\Rightarrow 3y=-12x+2[/tex]
Now, let us take all the terms on one side:
[tex]\Rightarrow 3y+12x-2=0\\\Rightarrow 12x+3y-2=0[/tex]
Now, let us compare with [tex]Ax+By+C=0[/tex].
So, A = 12, B = 3 and C = -2
Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest. a.) How much will be in the account when she turns 65? b.)What is her total contribution to the account?
Answer:
a. Total amount after 65 years = $1179415.39
b. The total contribution to the account = $288000
Step-by-step explanation:
Given annuity amount = $1800
Total number of years for contribution = 65 – 25 = 40 years
Interest rate = 6%
a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]
Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)
Total amount after 65 years = $1179415.39
b. The total contribution to the account =1800 × 4 Quarter × 40 Years
The total contribution to the account = $288000
An airplane descends during the last hour of it's flight to prepare for landing. It's altitude changes at an average of -0.15 km per minute for those 60 minutes. (What is the product) How does the elevation of the airplane change in that hour? The elevation of the airplane _________ by ______ km. increases 60 decreases 9 0.15
WILL GIVE BRAINLIEST, THANKS AND FIVE STARS
Answer:
The elevation of the airplane decreases by 9 km.
Step-by-step explanation:
We use the distance-rate-time formula: d = rt.
Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:
d = rt
d = 0.15 * 60 = 9 km
So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.
Thus, the answer is: the elevation of the airplane decreases by 9 km.
~ an aesthetics lover
Answer:
The elevation of the airplane _decrease_ by __9____ km
Step-by-step explanation:
Take the rate and multiply by the time to get the distance traveled
-.15 km per minute * 60 minutes
- 9 km
The plane will go down 9 km in that 60 minutes
A poll reported that 66 percent of adults were satisfied woth the job the major airlines were doing. Suppose 25 adults are selected at random and the number who are satisfied is recorded.
1. Explain why this is a binomial experiment.
A. This is a binomial experiment because there are three mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
B. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a random number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
C. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success changes in each trial.
D. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
2) Find and interpret the probability that exactly 15 of them are satisfied with the airlines.
Answer:
A)Option D
B)P(X = 15) = 0.1325
Step-by-step explanation:
A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
So option D is correct.
B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66
Let X be the number of adults satisfied with the job. Since 25 are selected,
Thus;
P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)
P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378
P(X = 15) = 0.1325
You are mandated to pick 45 units per hour. You work 8.5 hours a day (minus a 1/2 hour lunch), Monday to Friday. How many units should you be picking each week?
Answer:
1912.5 unitsStep-by-step explanation:
Firstly let us calculate the amount of hours you will have to work in a week.
Since you will have to work Mondays through Fridays, hence you will be working 5 days in a week.
Hence in a week you will work 8.5*5= 42.5 hours in a week
Since in 1 hours you are mandated to pick 45 units
Hence in 42.5 hours you will pick 42.5*45= 1912.5 units
please need help with this math question
Answer:
third option
Step-by-step explanation:
We just have to calculate 2x² - 4x - (x² + 6x). 2x² - x² = x² and -4x - 6x = -10x so the answer is x² - 10x.
Answer:
x^2-10x
Step-by-step explanation:
f(x)-g(x)
(2x^2-4x)-(x^2+6x)
carry through the negative
2x^2-4x-x^2-6x
x^2-10x
What is 86.94 rounded to the nearest tenth
Answer:
86.9
Step-by-step explanation:
Find the number in the tenth place 9 and look one place to the right for the rounding digit 4 Round up if this number is greater than or equal to 5 and round down if it is less than 5
Hope this can help
The following sample was obtained from a population with unknown parameters.
Scores: 13, 7, 6, 12, 0, 4
a. Compute the sample mean and standard deviation. (Note that these are descriptive values that summarize the sample data.)
b. Compute the estimated standard error for M. (Note that this is an inferential value that describes how accurately the sample mean represents the unknown population mean.)
Answer:
i think is 7
Step-by-step explanation:
Find the values of x and y for both questions.
Answer:
16. x=48 y=70
17. x=45 y=5
Step-by-step explanation:
16. This is an isosceles triangle meaning that the two angles are the same. Meaning that (x+7)=55.
55-7=48
(48+7)=55 x=48
There are 180 degrees in a triangle, so 55+55=110
180-110=70. y=70
17. This is a right angled triangle meaning that the squared part is 90 degrees. And it is also an isosceles triangle meaning that x=97.
There are 180 degrees in a triangle, and 90 is already taken, meaning that there is 90 degrees more left.
90/2=45
x=45
9✖️5=45 y=5
Hope this helps, BRAINLIEST would really help me!
A man bought certain number of litches
at 20 per Rs 100 and an equal no. of 30 per
Rs 100. He mixed them and sold them at
25
per Rs 100. Find his
gain or loss
percent?
Answer: The loss is 4%
Step-by-step explanation:
Lets call litches that are 20 pcs per Rs 100 - litches A
that are 30 pcs per Rs 100- litches B
So a man can buy 2 pcs A per Rs 10
and 3 pcs B per Rs 10
OR
6x pcs A per Rs 30x
and 6x pcs B per Rs 20x
Now he gonna sell the 12x litches for y Rs
Lets find y from the proportion
12x cost y
25 cost 100
y/12=100/25
y=48 Rs
So the man bought 6x A + 6x B for 20x+30x=50 Rs
And then he sold them for 48 Rs
Obviously the man gonna loose the money.
Lets find the losses in %
(50-48)/50*100=200/50=4%
The loss is 4%
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice.
Answer:
.006
:)
Step-by-step explanation:
8 servings can David make with the current amount of spice.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
The rice-to-spice ratio = 15:1
The 75 grams of rice in one serving will require
⇒75/15
⇒5 gram of spice.
David's inventory of 40 gram of spice is enough for
40 g/(5 g/serving) = 8 servings
Hence, 8 servings can David make with the current amount of spice.
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Please help with this question ASAP!
You are studying for the SAT and start the first week spending 2 hours studying. You plan to increase the amount you study by 10% each week. How many hours do you study in the 8th week?
Answer:
8w : 3.8974342 ≈ 3.9 or 4 (hope it help)
Step-by-step explanation:
1w : 2
2w : 2 + 10% = 2.2
3w : 2.2 + 10% = 2.42
4w : 2.42 + 10% = 2.662
5w : 2.662 + 10% = 2.9282
6w : 2.9282 + 10% = 3.22102
7w : 3.22102 + 10% = 3.543122
8w : 3.543122 + 10% = 3.8974342
3.8974342 ≈ 3.9 or 4
Write the first 4 terms of the sequence defined by the given rule f(n)=n2 -1
Answer:
0, 3, 8, 15Step-by-step explanation:
Substitute n = 1, n = 2, n = 3 and n = 4 to the equation f(n) = n² - 1:
f(1) = 1² - 1 = 1 - 1 = 0
f(2) = 2² - 1 = 4 - 1 = 3
f(3) = 3² - 1 = 9 - 1 = 8
f(4) = 4² - 1 = 16 - 1 = 15
Please answer this correctly without making mistakes
66.7
you will get the answer
Answer:
66.7
Step-by-step explanation:
The bicycle shop is 24.1 kilometers west of the train station meaning the distance between them is 24.1 kilometers.
The hardware store is 42.6 kilometers west of the bicycle shop meaning the distance between them is 42.6 kilometers.
Finally, you add both of the distances. (42.6 + 24.1)
You get the answer 66.7 kilometers.
Hope this helps!