Answer:
y = 2 - ( x - 1)²/9
Step-by-step explanation: See Annex
As the parameter t increases, the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.
b) to eliminate the parameter:
x = 1 + 3*t (1) y = 2 - t² (2)
Then from equation (1) t = ( x - 1 ) / 3
plugging that value in equation (2)
y = 2 - [ ( x - 1 ) / 3 ]²
y = 2 - ( x² + 1 - 2*x)/9
9*y = 18 - x² + 1 - 2*x or y = 2 - ( x - 1)²/9
The curve is a parabol
ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither
Answer:
Step-by-step explanation:
If the sum of two angles = 180°
Then the pair of angles will be supplementary.
If the sum of two angles = 90°
Then the pair of angles will be complementary.
Sum of angles having measures 98° and 82° = 98° + 82°
= 180°
Therefore, both the angles will be supplementary.
Sum of angles having measures 134° and 36° = 134° + 36°
= 170°
Therefore, these angles are neither supplementary nor complementary.
So the answer is NEITHER.
Record the data in a table with the rows representing the type of music and the columns representing the weeks.
What number does element a12 represent?
90
100
150
200
Answer:
150
Step-by-step explanation:
The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Record the data in a table with the rows representing the week and the columns representing the type of music.
The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.
More about the histogram link is given below.
https://brainly.com/question/16819077
#SPJ2
Suki named a fraction that was not a multiple of. Which fraction could she have
named?
A. 6/4
B. 9/4
с. 10/4
D.12/4
If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=
a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3
Answer:
since in second quadrant cos θ is negative.
Cos θ=b/h=2/3
b=2
h=3
p=√(3²-2²)
p=√5
Now
Tan θ=p/b=√5/2
since in second quadrant tanθ is negative
so
Tanθ=-√5/2
b. - (sqrt 5)/2
In second Quadrant cos is negative
cosØ=b/h=2/3So
b=2 and h=3
Perpendicular
p²=h²-b²p²=3²-2²p²=5p=√5tanØ=-p/b =-√5/2
What is 3.4 million divided by 60
Answer:
[tex]56666\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:56,666.666
Step-by-step explanation:
Respuesta
2x+3x-4y+7y-x+20. Find equal expressions
Answer: 4x + 3y +20 is your answer hope this helped
plz make brainly
Step-by-step explanation:
i hope it helps XD......
This is the other question but also you can use the letters that’s on the right side !!
Answer:
Chrome and camera. 1000 mistakes
Step-by-step explanation:
bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy
David inherited some land in 1960 that was valued at $25,000. The value of the land has increased 10% every 5 years. Which function will calculate the value of the land x years after 1960?
Answer:
f(x) = 25,000(0.1)^5x
Step-by-step explanation:
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?
Answer:
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
Step-by-step explanation:
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:
At the null hypothesis, we test if the mean is the same, that is:
[tex]H_0: \mu = 59.5[/tex]
At the alternate hypothesis, we test that it is different, that is:
[tex]H_a: \mu \neq 59.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
59.5 is tested at the null hypothesis:
This means that [tex]\mu = 59.5[/tex]
After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.
This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]
[tex]z = -2.5[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.
Looking at the z-table, Z = -2.5 has a pvalue of 0.0062
2*0.0062 = 0.0124
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
What’s the exact volume of the cone?
Answer:
3.......................
The 2003 Statistical Abstract of the United States reported that the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02
Answer:
A sample of 2017 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30.
This means that [tex]\pi = 0.3[/tex]
Confidence level:
Not given, so I will use 95%.
This means that [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02?
A sample of n should be taken.
n is found fo M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]
[tex]n = 2016.8[/tex]
Rounding up:
A sample of 2017 should be taken.
Anybody know the answer to this problem be correct
Answer:
28 out of 40
2(20 - x)/40 for x questions wrong
Step-by-step explanation:
total points: 40
total Qs: 20
20-6 = 14
14/20 = 28/40
28
There was a total of 184 teachers and students at an archery lesson.
3/4
of the teachers is equal to of the students.
2/5
How many teachers were there at the archery lesson?
Subtract the product of 5 and 8 from 50.
HOW DO I WRITE THIS IN A NUMERICAL EXPRESSION?
Answer:
50-(5×8)
Step-by-step explanation:
brainliest please
What are the characteristics of a function and how can we identify them?
Answer:
A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!
Ashas age is twice the age of Roman. After how many years will Roman be two third of Ashas age?
Answer:
5
Step-by-step explanation:
what is the answer ?
640
240
300
and 320
Step-by-step explanation:
10±10±30±30=80
8round = 80×8=640
don't forget me to follow
What is the perimeter of the rectangle? 7cm 7cm 5cm 5cm
O 22 centimeters
O 24 centimeters
O 26 centimeters
O 28 centimeters
Answer:
24 centimeters
Step-by-step explanation:
7 + 7 + 5 + 5 = 24
have a nice day :)
DUE IN 3 MINUTES PLEASE HELP
Answer:
B. 12^3 - 12^2 - 11
Step-by-step explanation:
........
Solve t - 4 > 12
1. t > -12
2. t > 12
3. t > -16
4. t > 16
Answer:
4. t>16
hope it helps......
Which of the following lists all the positive factors of 8?
O 1,8
O 2,4
O 2, 4, 6
O 8, 16, 32
O 1, 2, 4, 8
Calculator
Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d
Step-by-step explanation:
Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress
9514 1404 393
Answer:
2 11/12 yards
Step-by-step explanation:
Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.
1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12
Carol will need 2 11/12 yards of the material for the dress.
Answer:
2 11/12 yards
Step-by-step explanation:
James has 16 more game cards than Fay. If they have 48 game
cards altogether, find the number of game cards James has.
Answer:
James has 32 game cards
Step-by-step explanation:
X=Fay
x+16=James
X(Fay) + (x+16) James =48
x+x+16=48
2x=32
x=16 Fay
x+16 James
16 + 16=32 James
check answer:
16 Fay + 32 James =48
16+32=48
48=48
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?
Answer:
she can paint 17 statues (with some paint left,but not enough for another statue)
Step-by-step explanation:
7/8 divided into 1/20
is the same as 7/8 multiplied by 20/1
7/8 x 20/1 = 140/8 = 17.5
The following sample observations were randomly selected. x53634468y1315712131195 Click here for the Excel Data File Determine the coefficient of correlation and the coefficient of determination. Interpret the association between x and y. (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.)
Answer:
R = -0.8908
R² = 0.7935
Step-by-step explanation:
Given the data:
X :
5
3
6
3
4
4
6
8
Y :
13
15
7
12
13
11
9
5
Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :
R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.
The Coefficient of determination (R²) ; is obtained by taking the squared value of R
R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.
x root +29= root 4096
Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.
Answer:
b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.
Step-by-step explanation:
Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.
Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.
ion: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the =α0.01 level of significance and the critical value method with t
Answer:
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Step-by-step explanation:
Test if the mean tuition and fees for private institutions in California is greater than $35,000.
This means that at the null hypothesis we test if the fee is of $35,000 or less, that is:
[tex]H_0: \mu \leq 35000[/tex]
And at the alternate hypothesis, we test if it is more than this value, that is:
[tex]H_a: \mu > 35000[/tex]
The test statistic is:
As we have the standard deviation of the sample, the t-distribution is used.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
35000 is tested at the null hypothesis:
This means that [tex]\mu = 35000[/tex]
The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900.
This means that [tex]n = 13, X = 38000, s = 7900[/tex]
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{38000 - 35000}{\frac{7900}{\sqrt{13}}}[/tex]
[tex]t = 1.37[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 38000, which is the pvalue of t = 1.37, with 13 - 1 = 12 degrees of freedom, using a one-tailed test.
With the help of a calculator, this pvalue is of 0.0979.
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
N
3
4
5
6
H
H1
H2
H3
H4
H5
H6
T
T1
T2
T3
T4
T 5
T6
3
3
Answer:
p
Step-by-step explanation: