Answer:
k = -5
Step-by-step explanation:
Direct variation formula:
y = kx
Given:
x = 2
y = -10
Work:
y = kx
-10 = 2k
k = (-10)/2
k = -5
find the gradient of the line
with the equation 3x+4y=10
As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.592. If 8 households are selected at random, without replacement, from all US households, what is the (approximate) probability that the number having at least one VCR is exactly 4. Be sure to use many decimal places in your calculations (at least 4), but report your answer to three decimal places.
Answer:
0.23825
Step-by-step explanation:
Given :
p = 0.592 ; number of trials, n = 8
x = 4 ; q = 1 - p = 1 - 0.592 = 0.408
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 4) = 8C4 * 0.592^4 * 0.408^4
P(x = 4) = 70 * 0.592^4 * 0.408^4
P(x = 4) = 0.23825
Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.
Find where the two curves intersect:
y = 6x - 2x ²
y = x ²
6x - 2x ² = x ² → 3x ² - 6x = 3x (x - 2) = 0 → x = 0 and x = 2
Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².
Then volume of the solid is
[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]
What is the mode out of these numbers?
63, 63, 76, 67, 75, 79, 65, 95, 68, 90
Answer:
63
Step-by-step explanation:
Mode is the number that is repeated the most, in this case its 63
The solution to (-3.9) + 1.5 - 6.2 is -8.6.
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True
False
The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!
Answer:
75 Units
Step-by-step explanation:
i got this on khan :)
(Need help ASAP, I’m taking a test) A researcher is 95% confident that the interval from 5.09 to 10.13 captures x = the true mean amount of
times models change clothes during a fashion shoot.
Is it plausible that the true mean number of times for all models to change clothes during a fashion shoot may
be 102
No, this is not a plausible value for the population mean, because 10 is within the 95% confidence interval
No, this is not a plausible value for the population mean, because 10 is not within the 9596 confidence
interval
Yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval
Yes, this is a plausible value for the population mean, because 10 is only a little bit above the upper
boundary of the 95% confidence interval.
Answer:
See below
Step-by-step explanation:
If a proposed value is outside the confidence interval, it is not a plausible value because the interval never catches it. So B is your best choice.
Answer:
C is correct
Step-by-step explanation:
Condense the logarithm
q log b + 3 log k
Answer:
a
Step-by-step explanation:
Answer:
[tex]log(\frac{a^{2} }{b^{3} } )[/tex]
Step-by-step explanation:
[tex]q[/tex] [tex]log[/tex] [tex]a -3log[/tex] [tex]b[/tex]
[tex]=log[/tex] [tex]a^{2} -log[/tex] [tex]b^{2}[/tex]
[tex]now[log[/tex][tex]a/b=log[/tex] [tex]a-log[/tex] [tex]b[/tex][tex]][/tex]
[tex]= log(a^{2} /b^{3)}[/tex]
[tex]--------[/tex]
hope it helps...
have a great day!!!
what is the effect on the graph of fx =1/x when it is transformed to g(x)=1/x - 7
a. the graph of f(x) is shifted 7 units to the left
b. the graph of f(x) is shifted 7 units down
c. the graph of f(x) is shifted 7 units up
d. the graph of f(x) is shifted 7 units to the right
PLEASE HELP
Answer:
b. the graph of f(x) is shifted 7 units down7 is a negative term here hence,it will go downThe effect on the graph of f(x) =1/x when it is transformed to g(x)=1/x - 7 is
the graph of f(x) is shifted 7 units down.
The correct option is (B).
what is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
g(x)=1/x - 7 and f(x)= 1/x
As, the transformation takes place so there is a negative seven.
Hence, the graph of f(x) is shifted 7 units down.
Learn more about graph here:
https://brainly.com/question/14375099
#SPJ2
Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
Can someone help me with this question plz show work.
Answer:
d
Step-by-step explanation:
V=whl=3·4·6=72
D. 6*4*6≠72
Answer:
D 6x6x4
Step-by-step explanation:
the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism
The figures in the picture are similar to each other. Find the value of x, rounded to the nearest whole number.
Answer:
x=5
Step-by-step explanation:
2(x-1)=x+3
x=5
(5-1)=4
4*2=8
5+3=8
ANSWER 5
Have a great day!
Solve the system of linear equations by substitution.
x-2y=6
3x-5y=11
Answer:
x = -8, y = -7
Step-by-step explanation:
=> x = 6 + 2y
substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:
=> 3(6 + 2y) - 5y = 11
=> 18 + 6y -5y = 11
=> y = -7
substitute y = -7 into the equation x - 2y = 6 to solve for x:
=> x - 2(-7) = 6
=> x +14 = 6
=> x = -8
In a grocery store, the total number of cashiers and stockers must be at least 12 but not more than 20. There must be at least 5 cashiers and
at least 3 stockers.
Let x represent the number of cashiers and y represent the number of stockers.
Which system of inequalities can be used to find the number of cashiers and stockers required?
A
(x>5
ly> 3
x + y > 12
x + y > 20
C.
(x>5
y> 3
x + y > 12
(x + y<20
B.
(x 25
y23
x + y s 12
(x + y = 20
D.
(x25
y23
x + y 2 12
(x + y s 20
A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week.
The function that models the scenario, where h is the number of helicopters produced per week, is
f(h) = –2(h – 4)2 + 22.
When 6 helicopters are produced weekly, the company’s profit is (blank)
thousand dollars.
Answer:
the answer is B
Step-by-step explanation:
Do the values of the numbers increase or decrease as the numbers go from -2 to -8?
Answer:
The number decreases
Step-by-step explanation:
The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives
What is the answer? Thank you!
Given that 2x + 3 > 9, the range of values of x is
Answer:
x>3
Step-by-step explanation:
2x+3>9
2x>6
x>3
So all values of x must be greater than 3 in order for the inequality to be true.
Given a polynomial f(x), if (x + 7) is a factor, what else must be true
Answer:
Step-by-step explanation:
at x = -7, the polynomail function f(x) has a zero (x-intercept)
A company does research on their product and finds that 3/5 of people who try the product use it again. If 400 people try the product how many would we expect to use it again
Answer:
240
Step-by-step explanation:
It is 240 because that would be 3/5 of 400.
podstaw graniastosupa prostego jest rownoleglowbok ktorego boki maja dlugosci 4cm i 6 cm a miara jednego z katow wynosi 30 stopni oblicz objetosc tego graniostoslupa przy zalozeniu ze jego pole powierzchni cakowitej jest rowne 72 cm kwadratowe
Answer:
which language is it
Step-by-step explanation:
can you please put it in English
Don’t know the answer to this question???
9514 1404 393
Answer:
(b) 9
Step-by-step explanation:
The product of segment lengths to the near and far intersection with the circle is the same for both secants.
4(4+5) = 3(3+x) . . . . the above statement with numbers filled in
36 = 9 +3x . . . . . . . simplify
12 = 3 +x . . . . . . . . divide by 3
9 = x . . . . . . . . . . . subtract 3
this is a nice question for 69 points (nice)
What's 34.5 x 2
A. 45
B. nice
C. 78
D. 50
Answer:
34.5 × 2 = 69
Step-by-step explanation:
pretty self explanatory
Does anybody know the answer to this question
Answer:
A
Step-by-step explanation:
Need some help on this question??
Step-by-step explanation:
I am sorry I didn't know the answer
Answer:
2nd option
Step-by-step explanation:
The secant- secant angle CAD is half the difference of the intercepted arcs, that is
∠ CAD = [tex]\frac{CD-GE}{2}[/tex]
GIVING 100 POINTS!!!!
Answer:
As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.
Let's verify
Neighborhood 1Data
55, 55, 60, 60, 70, 80, 80, 80, 90, 120Mean
(55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75MAD
(20*2+15*2+5+5*3+15+45)/10 = 15Neighborhood 2Data
100, 110, 110, 110, 120, 120, 120, 140, 150, 160Mean
(100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124MAD
(24+14*3+4*3+16*3+16+26+36)/10 = 20.4As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).
Answer
the image isnt very clear
Step-by-step explanation:
I’ll give points + brainalist for the correct answer (:
Answer:
x=18
Step-by-step explanation:
since they are vertical angle they are the same so since its 2x divide 36/2=18
Answer:
x=18
Step-by-step explanation:
[tex]2x = 36 \\ x = \frac{36}{2} \\ x = 18[/tex]
You need to establish _____ for how to judge a concept.
Answers
Questions
Points
Criteria
Answer:
Criteria.
Step-by-step explanation:
A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.
Find the LCD of the following:
1. 3/8, 1/4, 5/12
2. 2/3,5/6, 7/9
Answer:
1. LCD= 24
2. LCD= 18
I am STRESSED. Please answer the following questions below that are HIGHLIGHTED.
Answer:
1.5 tons and 256 pounds OR 1 ton and 1256 pounds
Step-by-step explanation:
