Answer:
x intercept is (8,0)
y intercept is (0,-6)
Step-by-step explanation:
hope this helps
In the final examination of 80 full marks 8 students in maths secured the marks as follows 55,80,77,85,82,65,60 find the median marks
Answer:
77
Step-by-step explanation:
To find the median marks, we first need to arrange the scores in ascending order:
55, 60, 65, 77, 80, 82, 85
Since there are 8 students, the middle value will be the 4th value in the ordered set. In this case, the median marks will be 77
Therefore, the median marks for the 8 students in maths is 77.
1. Find the sum 1.56 −0.83. Show your reasoning?
2. Find the difference 0.2 − 0.05 . Show your reasoning?
ple help me.
Answer:
Step-by-step explanation:
1. 0.73
2. 0.15
the answers are just common sense i mean cmon peeps. ALSO PLEASE GIVE BRAINLIEST!
A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
A movie theater has 85 seats. One rainy day in the summer, all seats were sold and the ticket income was $121. If adult tickets cost $3 and children tickets cost $1, how many children were in the audience?
Answer:
children = 67
Step-by-step explanation:
two equations can be derived from this question
x + y = 85 equation 1
3x + y = 121 equation 2
where x = number of adults
y = number of children
subtract equation 1 from 2
2x = 36
x = 18
substitute for x in equation 1
y = 85 - 18 = 67
From a population of size 500, a random sample of 50 items is selected. The mode of the sample a. can be larger, smaller or equal to the mode of the population. b. must be equal to the mode of population, if the sample is truly random. c. must be equal to the mean of the population, if the sample is truly random. d. must be 500.
The mode of the sample can be larger, smaller or equal to the mode of the population, but must not be equal to the mean of the population or 500.
The mode of a sample is the value that occurs most often in the sample. The mode of a population is the value that occurs most often in the population. In a random sample, the mode of the sample can be larger, smaller or equal to the mode of the population. This is because the sample is a subset of the population and the values in the sample may not be the same as the values in the population.
The formula for calculating the mode of a sample is:
Mode = Number of times the most frequent value appears / Total number of values
For example, in a sample of 50 items from a population of 500, the mode of the sample could be equal to the mode of the population, if the most frequent value in the sample appears the same number of times as it does in the population. However, if the most frequent value in the sample appears more or less times than it does in the population, then the mode of the sample will not be equal to the mode of the population.
The mode of the sample must not be equal to the mean of the population, since the sample is a subset of the population and the values in the sample may not be the same as the values in the population. Furthermore, the mode of the sample must not be 500, since the sample is not the entire population.
The mode of the sample can be larger, smaller or equal to the mode of the population, but must not be equal to the mean of the population or 500.
Learn more about random sample here:
https://brainly.com/question/29852583
#SPJ4
if adam wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be?
If adam wanted to construct a one-sample t-statistic, the value for the degrees of freedom would be 7.
Given the following data:
Average speed : 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4
To construct a one-sample t - statistic, the value of the degree of freedom will be ;
In a one sample test of known mean, if the number of observations are 4, one can choose to vary at most three of the observations and still obtain the mean, that is the 4th observation must remain fixed.
Degree of freedom = Number of observations (n) - 1. This is the maximum number of independent variables which can be varied.
Nunber of observations or sample size in the data above is 8
Hence,
Degree of freedom = (8 - 1) = 7
Learn more about Degree of Freedom at :
https://brainly.com/question/28527491
#SPJ4
Pls pls pls help ill give you whatever :(
Answer:
\(y^{\frac{3}{7}}\)
Step-by-step explanation:
\(\sqrt[7]{y^3}=y^{\frac{3}{7}}\)
The root of the radical will become the denominator of the exponent fraction and the power of the radical will become the numerator of the exponent fraction
7 ---> is the root of the radical
3 is the power of the radical
HELP BRUH PLS ,, it’s simplifying
Answer:
14i
Step-by-step explanation:
2√-49 = 2√i²7² = 2·i·7 = 14 i
You can use the same pattern for the others.
another one:
5√-20 = 5√i²2²5 = 5·i·2√5 = 10i√5
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
to learn more about null hypothesis visit:
https://brainly.com/question/16261813
#SPJ4
A square tile mesures 20 cm by 20cm a rectangular tile is 3 cm longer and 2 cm narrower. What is the different in area between the two tiles?
Answer:
Rectangular tile has 14 cm² larger area-----------------
Find each area and then find their difference.
A(square) = 20² = 400 cm²A(rectangle) = (20 + 3)(20 - 2) = 23*18 = 414 cm²The difference is:
414 - 400 = 14 cm²Mary is determining the maximum quantity given the seasonality is constant. If the coefficients are 117t and −22.9906t
2
in a quadratic model, what is the maximum quantity that can be reached? 12.52 B 3 0.098 5.09
The maximum quantity that can be reached in a quadratic model can be determined by finding the vertex of the quadratic function. In this case, with coefficients of 117t and -22.9906t^2, the maximum quantity can be calculated.
To find the maximum quantity in a quadratic model, we need to locate the vertex of the quadratic function. The vertex is the point where the quadratic curve reaches its maximum or minimum value. In a quadratic equation of the form ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, the coefficients of the quadratic model are 117t and -22.9906t^2. Since there is no constant term, we can disregard it in this calculation. By substituting the values into the formula, we find that the x-coordinate of the vertex is -117 / (2 * -22.9906) = 2.5415.
To determine the maximum quantity, we need to substitute this value back into the quadratic equation. However, since the problem statement does not provide the complete quadratic equation or the context for the variable t, we cannot calculate the exact maximum quantity. Therefore, the specific value of the maximum quantity cannot be determined without additional information.
Learn more about quadratic here:
https://brainly.com/question/22364785
#SPJ11
A recipe needs 4/5 cup of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answer:
Step-by-step explanation:
2.4 cups
Which pair of triangles MUST be similar?
A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.
B. Triangles 1 and 2 each have a 40 degree angle.
C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.
Answer:
C
Step-by-step explanation:
The total measurement of a triangle is 180
Triangle 7 has a 40 degree angle and 35 degree angle.
40+35=75
180-75=105
Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister (i.e., the diameter and height are doubled). Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
This means volume of the larger canister is 8 times more than volume of the smaller canister.
This means surface area of the larger canister is 4 times greater than volume of the smaller canister.
Step-by-step explanation:
Smaller canister
Diameter=9cm
Radius=diameter/2
=9/2=4.5cm
Height=12cm
Larger canister (double of the smaller canister)
Radius=4.5*2=9cm
Height=12*2=24cm
Volume=πr^2h
Surface area=2πrh + 2πr^2
Volume of smaller canister=πr^2h
=3.14*(4.5)^2*12
=3.14*20.25*12
=763.02
Surface area of the smaller canister=2πrh + 2πr^2
=2*3.14*4.5*12 + 2*3*14*(4.5)^2
=339.12 + 127.17
=466.29
Volume of larger canister=πr^2h
=3.14*(9)^2*24
=3.14*81*24
=6104.16
Surface area of larger canister=2πrh + 2πr^2
=2*3*14*9*24 + 2*3.14*(9)^2
=1356.48 + 508.68
=1865.16
Compare smaller and larger volume of the canister:
Volume if larger/volume of smaller
=6104.16/763.02
=8
This means volume of the larger canister is 8 times more than volume of the smaller canister
Compare surface area of larger and smaller canister:
Surface area of larger canister/surface area of smaller canister=1865.16/466.29
=4
This means surface area of the larger canister is 4 times greater than volume of the smaller canister
Answer:
Yeah, what she said above.
Step-by-step explanation:
in an effort to reduce health care costs, general motors sponsored a study to help employees stop smoking. in the study, half of the subjects were randomly assigned to receive up to $750 for quitting smoking for a year while the other half were simply encouraged to use traditional methods to stop smoking. none of the 878 volunteers knew that there was a financial incentive when they signed up. at the end of one year, 15% of those in the financial rewards group had quit smoking while only 5% in the traditional group had quit smoking. do
Answer:
The financial incentive had a significant effect on the proportion of individuals who quit smoking
Step-by-step explanation:
To determine if the financial incentive had a significant effect on the proportion of individuals who quit smoking, we can conduct a hypothesis test.
Null hypothesis: The proportion of individuals who quit smoking in the financial rewards group is the same as the proportion who quit smoking in the traditional group.
Alternative hypothesis: The proportion of individuals who quit smoking in the financial rewards group is greater than the proportion who quit smoking in the traditional group.
We can use a one-tailed z-test for proportions to test this hypothesis, with a significance level of 0.05.
First, we calculate the pooled proportion of individuals who quit smoking:
p = (number of individuals who quit smoking in financial rewards group + number of individuals who quit smoking in traditional group) / (total number of individuals in both groups)
p = \(\frac{(0.15 * 439 + 0.05 * 439)}{878}\)
p = 0.1
Next, we calculate the standard error of the difference between the two proportions:
SE = \(\sqrt{(p(1-p) * ((1/n1) + (1/n2)))}\)
where n1 is the sample size of the financial rewards group (439) and n2 is the sample size of the traditional group (439).
SE = \(\sqrt{(0.1 * 0.9 * ((1/439) + (1/439)))\)
SE = 0.022
Finally, we calculate the test statistic:
z = (p1 - p2) / SE
where p1 is the proportion of individuals who quit smoking in the financial rewards group (0.15) and p2 is the proportion of individuals who quit smoking in the traditional group (0.05).
z = (0.15 - 0.05) / 0.022
z = 4.55
The critical z-value for a one-tailed test with a significance level of 0.05 is 1.645.
Since our calculated z-value is greater than the critical z-value, we reject the null hypothesis and conclude that the proportion of individuals who quit smoking in the financial rewards group is significantly greater than the proportion who quit smoking in the traditional group.
Therefore, we can say that the financial incentive had a significant effect on the proportion of individuals who quit smoking.
To know more about financial incentive refer here
https://brainly.com/question/12306845#
#SPJ11
HELP IMA GIVE BRAINLY AND A LIKE
Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.
PLS HELP ON THIS I DONT KNOW
Answer:
i belive it is the first one.
Step-by-step explanation:
Ivan will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee, but costs $0.90 per mile driven. The second plan has an initial fee of $75 and costs an additional $0.70 per mile driven. How many miles would Ivan need to drive for the two plans to cost the same?
Answer:
$337.50
Step-by-step explanation:
The computation of the number of miles need to drive for determining the same cost is given below:
Let us assume the miles be x
So for the first plan, the equation is
= $0.90x
And for the second plan, the equation is
= $75 + $0.70x
Now equate this
0.90x = $75 + 0.70x
0.90x - 0.70x = $75
0.20x = $75
x = $75 ÷ 0.20
= 375 miles
Now the same cost would be
For plan A and plan B
0.90x = $75 + 0.70x
0.90(375) = $75 + 0.70(375)
$337.5 = $75 + $262.50
$337.50 = $337.50
5000 is invested at 12% compounded weekly. What is the balance after 2 years
If the investment is $5000 at 12% weekly compound interest then the balance after 2 years would be approximately $7,180.47.
To solve this problem, we can use the formula for compound interest:
A = \(P (1 + r/n)^{(nt)}\)
where A is the balance after t years, P is the principal amount invested, r is the annual interest rate, n is the number of times the interest is compounded in a year, and t is the number of years.
In this case, we have:
P = 5000 (the principal amount invested)
r = 0.12 (the annual interest rate)
n = 52 (since the interest is compounded weekly, there are 52 weeks in a year)
t = 2 (since we want to find the balance after 2 years)
Plugging these values into the formula, we get:
A = 5000 (1 + 0.12/52)⁵²ˣ²
A = $7,180.47
Therefore, the balance after 2 years is approximately $7,180.47.
To learn more about compound interest click here
brainly.com/question/29008279
#SPJ4
which of the following is a true statement?select one:interval is the name of a particular octave sizeoctave is the name of a particular interval sizethe fifth is a kind of octavea synonym for distance is octave
The true statement is: "Octave is the name of a particular interval size."
In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.
An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.
The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.
The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.
Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.
for such more question on interval
https://brainly.com/question/23558817
#SPJ8
Show that if m
∗
(A)=0, then m
∗
(AUB)=m
∗
(B)
A and B have the same elements, the measure of AUB will be equal to the measure of B.
To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
- By definition, a null set has a measure of 0.
- Since m*(A) = 0, it implies that A has no elements or its measure is 0.
- Therefore, A is a null set.
2. If A is a null set, then AUB = B:
- Since A is a null set, it means that it has no elements or its measure is 0.
- In set theory, the union of a null set (A) with any set (B) results in B.
- Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
- Since AUB = B, it implies that both sets have the same elements.
- The measure of a set is defined as the sum of the measures of its individual elements.
- Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
- Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).
To know more about measure, visit:
https://brainly.com/question/28913275
#SPJ11
the hypothesis statement h: µ = 25 is an example of a(an) ________ hypothesis.
Hypothesis testing is an important statistical tool that helps us make informed decisions based on data and evidence.
The hypothesis statement h: µ = 25 is an example of a null hypothesis. A null hypothesis is a statement that suggests there is no significant difference between two variables or that any difference is due to chance. It is often denoted as H0 and is used to compare against an alternative hypothesis, which suggests that there is a significant difference between two variables. In this case, the null hypothesis is that the population mean µ is equal to 25, and there is no significant difference between the sample mean and the population mean. If the null hypothesis is rejected, it means that there is enough evidence to suggest that the alternative hypothesis is true. However, if the null hypothesis cannot be rejected, it does not necessarily mean that it is true. It only suggests that there is not enough evidence to support the alternative hypothesis.
Learn more about Hypothesis here
https://brainly.com/question/606806
#SPJ11
What are the solutions to the following system of equations?
x − y = 6
y = x^2 −6
A) (0, −6) and (7, 1)
B) (0, −6) and (1, −5)
C) (0, −6) and (9, 3)
D) (0, −6) and (−9, 3)
Answer:
B
Step-by-step explanation:
1. Notice all the LHS answers are (0,-6) so that's definitely an answer
2. Substitute out the y so 2nd equation becomes x-6=x^2-6; so x^2-x=0; therefore x=0 or x=1
3. x=1 so y=-5 and that's the second answer hence B
Answer:
The answer is B.
Step-by-step explanation:
hope this helps
Help me classify the triangles by its sides and measuring its angles :)
Answer:
Triangle 1 : isosceles triangle
Triangle 2 : Right Triangle
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below?
(–40, 20)
(–10, –20)
(15, –30)
(5, –15)
Answer:
(c) (15, -30)
Step-by-step explanation:
A proportional relationship has the equation ...
y = kx
The value of the constant of proportionality is the ratio of y to x:
k = y/x = 40/-20 = -2
__
The point that is on the line y = -2x is the point (15, -30).
Translate the sentence into an inequality.
The product of b and 7 is less than or equal to -24.
b*7<= -24
<= iz a less than or equal symbol
please help, I don’t know how to do this.
Answer:
Q2: slope = -½
Q3: slope = 1
Step-by-step explanation:
If the equation of the line is in the form y = mx+b, then m is the slope of the line and b is the y-intercept (the point where the line crosses the x-axis).
y = -½x, so the slope of the line is -½
y = x+15, so the slope of the line is 1
10. Line k is graphed below. Write an equation for line m that is perpendicular to line k (there are multiple correct answers). у *
To find the equation for line m, that is perpendicular to line k, we will take the steps below:
First, find the slope of line k from the graph given
To find the slope, locate the coordinates of any given 2 points from the line.
we have;
(4, 0) and (0, 3)
From the points above:
x₁= 4 y₁=0 x₂=0 y₂=3
slope = y₂-y₁ /x₂- x₁
substitute the values of the coordinate into the formula above
slope = 3 - 0 / 0 -4
= 3/ -4
= - 3/4
slopes of perpendicula equations are given by;
m₁m₂= -1
let m₁ be slope of k and m₂ be slope of m
(-3/4)m₂ = -1
multiply both-side of the equation by -4/3
m₂ = 4/3
The above is the slope of line M
Next, is to find the intercept of line M
y=mx + b
Find the value of x. Round to the nearest tenth.
Answer:
21.7
Step-by-step explanation:
Haha, I've done this recently! We are trying to find the hypotenuse, and we know the adjacent side. \(cosine = \frac{adjacent}{hypotenuse}\), so we can use cosine to help us figure that out. cosine 37° = \(\frac{17.3}{x}\)
On our calculator, we can determine that cosine of 37 degrees is 0.79863551004, and therefore 0.79863551004 = 17.3/x. Multiplying both sides by x gives 0.79863551004x = 17.3. Finally, all we have to do is divide 17.3 by 0.79863551004 and we get 21.661, rounded to the nearest tenth, 21.7!
I hope this helps!
Given :-
A right angled triangle is given to us .To Find :-
The value of x.Solution :-
In the given triangle one of the angle is 37° and one of its side is 17.3 . As we know that in a right angled triangle ,
\(\longrightarrow cos\theta =\dfrac{base}{hypotenuse}\)
Substitute ,
\(\longrightarrow cos37^o =\dfrac{17.3}{x}\)
Value of cos37° is 4/5 .\(\longrightarrow \dfrac{4}{5}=\dfrac{17.3}{x} \)
Cross multiply ,
\(\longrightarrow x =\dfrac{17.3\times 5}{4}\)
Simplify ,
\(\longrightarrow \underline{\underline{x = 21.625}} \)
Hence the value of x is 21.625.