Weak negative relationship means inverse variation between x and y
when x increases y decreases.when x decreases y increases\(\\ \sf\Rrightarrow x\propto \dfrac{1}{y}\)
Write the equation of the given line
y=2.5x+5
or
\(y= 1.5^2x+ \frac{25}{5}\)
there's like a billion different ways to write it
Find the length of each leg of a right triangle given that one angle is 22° and the length of the hypotenuse is 10 inches.
The length of each leg of a right triangle given that one angle is 22° and the length of the hypotenuse is 10 inches are 3.75 and 9.27 inches respectively.
How to calculate the length of each leg of a right triangle?In order to determine the length of the opposite side and adjacent side, we would apply both the cosine and sine trigonometry ratio because the given side lengths represent the hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp
Where:
Opp represent the adjacent side of a right-angled triangle.Hyp represent the hypotenuse of a right-angled triangle.θ represent the angle.By substituting the parameters into the sine trigonometry ratio formula, we have the following;
sin(θ) = Opp/Hyp
sin(22) = y/10
y = 10sin(22)
y = 3.75 inches.
For the adjacent side, we have:
cos(θ) = Adj/Hyp
cos(22) = x/10
x = 10cos(22)
x = 9.27 inches.
Read more on right angle triangle and trigonometric function here: brainly.com/question/24349828
#SPJ1
What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.
a. Identify the parameter of interest.
b. Check if the conditions for constructing a confidence interval for p are met.
C. Find the critical value for a 98% confidence interval. Then calculate the interval
d. Interpret the interval in context
Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is \(z = 2.327\). The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence \(n = 1000, \pi = \frac{55}{1000} = 0.055\).98% confidence level, hence\(\alpha = 0.98\), z is the value of Z that has a p-value of \(\frac{1+0.98}{2} = 0.99\), so the critical value is \(z = 2.327\).The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066\)
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070
true or false: 3^-1 x 3^-1=3^1
Answer:
the answer I got is false
y=10x-18 tiles pattern
Could someone plz help me on this math problem
Answer:
√7/22
Step-by-step explanation:
p=√7
b=22 ( R as reference)
tanR= p/b
√7/22
You can round yourself if necessary.
which variety of nonrandom sampling takes proportions into consideration?
a) convenience
b) judgment
c) quota
d) purposive
The variety of nonrandom sampling that takes proportions into consideration is: c) quota
Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.
In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.
For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.
To learn more about quota sampling
https://brainly.com/question/30720904
#SPJ11
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
On solving the provided question, by properties of parallel lines we got to know that - 1 - A 2 - C 3 - B 4 - D
what is alternate exterior angles?When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.
Matches are -
1 - A
2 - C
3 - B
4 - D
To know more about alternate exterior angles visit:
https://brainly.com/question/2279752
#SPJ1
Kai has 8 pints of buttermilk. He uses 4 ounces of buttermilk in
his receipe for a loaf of bread. How many loaves of bread can he make with the buttermilk that he has?
A. 2 loaves
B. 16 loaves
C. 24 loaves
D. 32 loaves
sa finished 30% of his homework in 27 minutes. How many more minutes will it take Isa to complete his homework, assuming that he works at the same pace?
A. 63 minutes
B. 67 minutes
C. 70 minutes
D. 90 minutes
Answer:D
Step-by-step explanation:
plsss I need help..i will remark ur answer as a brilliant answer
Answer:
9.3. your ans. nabsbss
Help!
Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake?
Answer: 23.74625 miles
(2 x 10*)(5.7 x 10°) ^x =
Answer:
20 x 57^x / 10^x
Step-by-step explanation:
determine whether the set, together with the indicated operations, is a vector space. if it is not, then identify one of the vector space axioms that fails. m2,4 with the standard operations
The set, together with the indicated operations, satisfies all the vector space axioms, so it is a vector space.
To determine if the set M2,4 with the standard operations (addition and scalar multiplication) forms a vector space, we must check if it satisfies the following vector space axioms:
1. Closure under addition
2. Commutativity of addition
3. Associativity of addition
4. Existence of additive identity (zero vector)
5. Existence of additive inverse
6. Closure under scalar multiplication
7. Distributive property for scalar and vector addition
8. Associativity of scalar multiplication
9. Identity property of scalar multiplication
M2,4 represents the set of all 2x4 matrices, i.e., matrices with 2 rows and 4 columns. Let's verify if the axioms hold for this set:
1. Closure under addition: Adding two 2x4 matrices results in another 2x4 matrix.
2. Commutativity of addition: For any two 2x4 matrices A and B, A + B = B + A.
3. Associativity of addition: For any three 2x4 matrices A, B, and C, (A + B) + C = A + (B + C).
4. Existence of additive identity: The zero matrix (a 2x4 matrix with all elements being 0) is the additive identity.
5. Existence of additive inverse: For any 2x4 matrix A, there exists a matrix -A such that A + (-A) = 0 (the zero matrix).
6. Closure under scalar multiplication: Multiplying a 2x4 matrix by a scalar results in another 2x4 matrix.
7. Distributive property for scalar and vector addition: For any scalar c and 2x4 matrices A and B, c(A + B) = cA + cB.
8. Associativity of scalar multiplication: For any scalars c and d and a 2x4 matrix A, (cd)A = c(dA).
9. Identity property of scalar multiplication: For any 2x4 matrix A, 1A = A.
Since M2,4 with the standard operations satisfies all the vector space axioms, it is indeed a vector space.
For more such questions on Vector space axioms.
https://brainly.com/question/30452963#
#SPJ11
3. Find the geometric mean of 4 and 10. (1 point) A. 20 B. 7 C. SQ root of 14 D. 2x SQ root of 10
Answer:
\(2\sqrt10\)
6.3 to the nearest 10th
Step-by-step explanation:
Hope this helped :)
G(x)=|x-2|
How do u solve this?
Whoever helps me with this problem will have brainlist.
By definition of quotient, the rational number 1/3 represents a periodic infinite decimal number. That is to say, 1/3 is equivalent to the decimal number \(0.\overline{333}\)
How to find the quotient of a fraction
The quotient of a fraction is found by dividing the fraction. Results in decimal form can be finite and infinite, infinite forms can be periodic or no periodic. This fraction represents a periodic infinite decimal number.
\(\frac{1}{3} = 0.\overline{333}\)
To learn more on quotients: https://brainly.com/question/27796160
#SPJ1
The expression of the fraction 1/3 as a quotient is; 0 remainder 3 or 0 r 3.
How to find the quotient of a fraction?
Quotient is described as the quantity produced by the division of two numbers.
Now, we want to find the quotient of 1/3. It should be noted that this quotient should not be in decimal form and so it gives us;
0 remainder 3 since 3 as a denominator is bigger than 1 as numerator.
Read more about Fraction Quotient at; https://brainly.com/question/408413
#SPJ1
The length and a quarter of the width of a rectangle add up to 7 in, while the length and the width add up to 10 in. What are the rectangle’s length and width?
Answer:
The length is 6, and the width is 4.
Step-by-step explanation:
The length and width add up to 10. 6 + 4 = 10.
A quarter of the width plus the length = 7. A quarter of 4 = 1. 1 + 6 = 7
Answer:
Width is 4 inches, Length is 6 inches
Step-by-step explanation:
Let us set a variables, l for length, and w for width. Now, we can write two expressions with the given information:
1. The length, l, and one quarter of the width, w, add up to 7in. Therefore,:
l+0.25w=7
2. The length, l, and the width, w, add up to 10in. Therefore,:
l+w=10
Let us now subtract the first equation from the second to find the variable, w. When we do this, we should make sure that we are subtracting on both sides:
\(l+w-(l+0.25w)=10-7\\l+w-l-0.25w=3\\0.75w=3\\w= 4\)
Now, let us substitute this 4 into w of the equation to obtain l:
l+w=10
l+4=10
l=6
Therefore, the width of the rectangle is 4 inches and the length of the rectangle is 6 inches.
I hope this helps! Please let me know if you have any further questions :)
A certain ore contains 21 percent gold. How much ore (in tons) is needed to obtain 882 tons of gold?
Answer:
it would be 4200 ore
Step-by-step explanation:
because 882/.21
I need help real bad
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 98 degrees
Step-by-step explanation:
A heptagon has a total of 900 degrees for the interior angles. Add up all the angles and then subtract from 900 to find x.
146+122+142+140+110+142 = 802.
900-802 = 98
Answer:
x = 98
Step-by-step explanation:
This shape has 7 sides. Using the formula n - 2 we can get the number of triangles. n represents the number of sides.
n - 2 = 5
All triangles have 180 degrees, so multiply 180 by the number of triangles (5).
180 × 5 = 900
The total number of degrees in this shape is 900. Adding the other angle measures and then subtracting them from 900 gives us x.
146 + 122 + 142 + 140 + 110 + 142 = 802
900 - 802 = 98.
x = 98
Help? This 9th grade math
Answer:
x = 47 degrees
Step-by-step explanation:
ok so the 2 lines m and n are parallel while going through line t
so since this is true
x is the same as the corresponding angle which is 47 degrees
x = 47 degrees
In the accompanying diagram of circle O, mAB = 64 and
m
What is the measure of CD?
A 104°
B 80°
C 52°
D 40°
Answer:
D 40°
Step-by-step explanation:
52= X + 64 /2
*2. *2
104 = X + 64
-64 -64
40 =X
What is the root of the equation 2x + 10 = f(x)?
Answer:
x=-5
Step-by-step explanation:
2x+10=0
2x=-10
x=-5
Finn is walking on a treadmill at a constant pace for 30 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts. The equation is f(x) =
30*2=15miles per min. x*y=d.
Answer:
The equation is
\(f(x) = - \frac{2}{30} x + 2\)
Step-by-step explanation:
since the function is
\(f(x) = - \frac{2}{30} x + 2\)
The y-intercept is 2 and the x-intercept is 30.
since the treadmill is counting down the slope of the function would be negative. she set the treadmill for 2 minute walk so at 0 minutes she has 2 minutes left. as the treadmill counts down at the 30-minute mark she will have zero minutes left.
10. If R is the midpoint of QS, find QS.
Statement:
R is the midpoint of QS.
To find out:
The measure of QS.
Solution:
QR + RS = QSSince R is the midpoint of QS, then QR = RS.QR = 2x + 16, RS = 5x - 17.Therefore, 2x + 16 = 5x - 17or, 2x - 5x = -17 - 16or, -3x = -33or, x = -33 ÷ -3or, x = 11Therefore, QR = 2(11) + 16= 22 + 16 = 38So, QS = 2QR = 2 × 38= 76Answer:
QS is 76.
Hope you could understand.
If you have any query, feel free to ask.
the number of bacteria in experiment can be presented by f(x) = 4 where x represents the numbers of hours
What is x when fx=64
retake!!!
Answer: A
Step-by-step explanation:
4^3=64.
Option:-
A ) x = 3; in the 3rd hour there will be bacteria.\( \: \)
Given:-
\( \sf{f ( x ) = 4^x}\)\( \: \)
To prove:-
\( \sf \: f ( x ) = 64\)\( \: \)
Solution:-
\( \sf \: f ( x ) = 4^x.\)\( \: \)
put the value of x = 3
\( \sf \: f ( 3 ) = 4^3\)\( \: \)
\( \sf \: f ( 3 ) = 64 \)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
The volume of a cube is 125 cubic inches. What is the length of one side of the cube?
Which inequality represents the number of miles Ellie rides during her school break?
O A. m > 20
B. m > 20
C. m < 20
D. m < 20
Answer:
Hello! Your answer would be BELOW
Step-by-step explanation:
A)
D)
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
if the woman and a man with normal clotting function have children, what is the probability of their children exhibiting hemophilia a?
A man who has hemophilia and a woman who is a carrier has:
a 25% (one in four) chance of having a son with hemophiliaa 25% chance of having a son with normal blood clottinga 25% chance of having a daughter who is a carriera 25% chance of having a daughter who has hemophiliaA hemophilia carrier is what?
Both an X chromosome from the mother and an X chromosome from the father are passed down to a daughter. Let's say the gene for typical blood coagulation is present on her mother's X chromosome. Let's say her father's X chromosome carries the hemophilia gene.
Since the normal blood clotting gene from the mother is dominant, the daughter won't get hemophilia. The hemophilia gene's instructions cannot be transmitted because of this.
Know more about haemophilia at:
https://brainly.com/question/14967930
#SPJ4