Answer:
g(x) = 4x - 1
Step-by-step explanation:
We have that:
[tex]g(x) = ax + b[/tex]
So
[tex]g(2t) = a*(2t) + b[/tex]
Equaling both sides:
[tex]g(2t) = 8t - 1[/tex]
[tex]a*(2t) + b = 8t - 1[/tex]
b = -1.
And
[tex]2a = 8[/tex]
[tex]a = \frac{8}{2}[/tex]
[tex]a = 4[/tex]
Then
g(x) = 4x - 1
Stephen and Shane are twins. They came up with a math puzzle . Stéphen says he is (5x + 4) years old, and Shane says he is (10x - 3) years old. What is the value of ? What are their ages?
Kim plays a card game with the children. She gives Gareth a card.
Gareth has to guess whether his card is higher or lower than 5 Kim tells him
• there are 10 cards higher than 5
• there are 4 cards lower than 5
Gareth thinks he should guess higher than 5
b) Is Gareth correct?
Explain why you think this.
Answer:
Yes
Step-by-step explanation:
There are total 10+4 = 14 cards
P(higher than 5) = 10/14 = 5/7
P(lower than 5) = 4/14 = 2/7
There's a higher chance of the card being greater than 5
Step-by-step explanation:
Step 1: Determine if Gareth is correct
Total number of cards → 10 + 4 → 14
Probability of choosing lower → 4/14 → 2/7
Probability of choosing higher → 10/14 → 5/7
Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.
Answer: Yes
Please help for the 3rd time and not the last time either (:
Please answer this correctly
Answer:
x =1
Step-by-step explanation:
Assuming the figures are similar, we can use ratios to solve
x 2
---- = -----
4 8
Using cross products
8x = 2*4
8x = 8
Divide by 8
8x/8 = 8/8
x=1
Find the equation for the line that passes through the point
(−5,0)
, and that is parallel to the line with the equation
y=−
3
4
x−
21
4
y=−34x−214
.
Answer:
y = -3/4x -15/4
Step-by-step explanation:
We assume you mean the given line to be ...
y = -3/4x -21/4
The slope of this line is -3/4. The parallel line will have the same slope.
__
In point-slope form the equation of the line you seek is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)
y = -3/4x -15/4
If a is 3 and c is 12, then 4ac equals
Answer:
144
Step-by-step explanation:
4ac=
4(3)(12)=
144
Hope this helps!
A theater group is having a carwash fundraiser. The group can only wash 45 cars with the amount of soap they purchased. Each car is charged $7. The function f(c) = 7c represents the amount of profit they make per car. Which inequality represents its domain?
Answer:
The domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].Step-by-step explanation:
The given function is
[tex]f(c)=7c[/tex]
Where [tex]c[/tex] represents cars. This function models the profits they make.
Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.
The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.
Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].
(Notice that we specify that the independent valur can only use whole positive numbers only).
Find two consecutive odd integers such that the sum of their squares is 202.
Answer:
9 and 11
Step-by-step explanation:
The squareroot of 202 is 14... so the numbers are both less than 14.
9*9= 81
11*11= 121
121+81= 202
Answer:
9 and 11
Step-by-step explanation:
(9^2) + (11^2) Simplify the exponents
81 + 121 = 202
Sara uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls
Answer: 2.3
Step-by-step explanation:
9.2 is divided by 4 is 2.3 so the last quarter is 2.3
What is the value of the following expression when p = 9? 6p+5
Find the value of the expression when p equals 9.
So to solve the expression: 6p + 5
We have to plug in the 9 for p
6p + 5 = ?
6(9) + 5 = ?
Then, we multiply solve.
6 x 9 = 54
54 + 5 = 59
Thus, the final value of the expression is 59.
The value of the expression when p is equal to 9 is 59.
Given that,
Expression; [tex]\rm 6p+5[/tex]
We have to determine,
The value of p when p is equal to 9?
According to the question,
Expression; [tex]\rm 6p+5[/tex]
To determine the value of p the calculation must be done in following steps following all the steps given below.
Step1; Substitute the value of p in the expression,[tex]= 6p+5\\\\= 6 \times 9 + 5\\[/tex]
Step2; Solving the expression,[tex]= 6 \times 9 + 5\\\\= 54 +5\\\\=59[/tex]
Hence, The required value of the expression when p is equal to 9 is 59.
For more details refer to the link given below.
https://brainly.com/question/18334317
PLEASE HELP
Find the length of BC
Answer:
BC or n=72
Step-by-step explanation:
ABC≈DEF
[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]
[tex]\frac{54}{9} =\frac{n}{12}[/tex]
[tex]9n=54*12[/tex]
[tex]9n=648[/tex] (then divide both sides by 9.)
[tex]n=72[/tex]
Which is the equation of a hyperbola centered at the origin with x-intercept +\- 3 and asymptote y=2x
Answer:
[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]
Step-by-step explanation:
The hyperbola has x-intercepts, so it has a horizontal transverse axis.
The standard form of the equation of a hyperbola with a horizontal transverse axis is [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]
The center is at (h,k).
The distance between the vertices is 2a.
The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]
1. Calculate h and k. The hyperbola is symmetric about the origin, so
h = 0 and k = 0
2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6
a = 6/2 = 3
3. For 'b': The equation for the asymptote with the positive slope is
[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]
Thus, asymptote has the slope of
[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]
4. The equation of the hyperbola is
[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]
The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.
Answer: c
Step-by-step explanation: edge 23
A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey?
A. If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.
B. If the sample size was larger, the margin of error would be larger as well.
C. Exactly 30% of all Chinese adults smoke.
D. We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke.
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.
Answer:
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.
Step-by-step explanation:
x% confidence interval between a and b.
Interpretation: We are x% sure that the true value is between a and b.
In this question:
95% confidence level
30% with a margin of error of 2.2%.
So
30 - 2.2 = 27.8%
30 + 2.2 = 32.2%
So the correct answer is:
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.
Math problem please help
Answer:
volume = 64 in³area = 96 in²Step-by-step explanation:
Put the given number into the formulas and do the arithmetic:
Volume = s³ = (4 in)³ = 64 in³
Area = 6s² = 6(4 in)² = 96 in²
Find the surface area of the prism. 3m, 12m, 13m, 5m
to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(
hope this helps
The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
area: about in 2
Answer:
18.85
Step-by-step explanation:
The area of a circle is A= pi × r² (r being the radius)
The radius is half the diamter so the radius would be 6
Plug 6 into the equation for the radius
A = pi × 6²
A = pi ×36
A= 18.85
A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?
Answer:
We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.
Step-by-step explanation:
We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.
A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.
Let [tex]\mu[/tex] = mean number of movies watched by college students last month.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies {means that college students watch higher or equal movies a month than high school students}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies {means that college students watch fewer movies a month than high school students}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1
σ = population standard deviation = 0.9
n = sample of college students = 39
So, the test statistics = [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]
= -3.47
The value of z test statistics is -3.47.
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.
Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that college students watch fewer movies a month than high school students.
A piece of equipment costs $50,000 new, but depreciates 15% per year in each succeeding year.
Find its value after 10 years.
Answer:
-$25,000
Step-by-step explanation:
15% of $50,000 is $7,500 Therefore..
10 x $7,500 = $75,000 ( 10 being the amount of years and 7500 being the 15% )
$50,000 - $75,000 = -$25,000
Hope this helps!!
-Conrad
Evelyn bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 36%. During the second year the value of the stock decreased by 20%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.
Answer:
0.512xx
Step-by-step explanation:
100% - 36% = 64%
64% = 0.64
thus after 1st yr, she is left with the value of 0.64xx
100% - 20% = 80%
80% = 0.8
thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx
Identify the design of the following study. A researcher classifies students according to three parental income groups and also according to three possible score ranges on the SAT examination. He randomly selects two students from each of the nine (Income, SAT) combinations. The researcher records the grade point averages (GPA) of those sample members at the end of the sophomore year.
a. Randomized block design
b. Two-Factor ANOVA with replication
c. One-way ANOVA
Answer:
140000000
Step-by-step explanation:
Isaiah receives $10 per week for his allowance. let m be the total amount
of money Isaiah gets and let w be the number of weeks he receives his
allowance. Which variable is the dependent variable?
A: W; number of weeks
B: M; total amount of money
B: M; total amount of money
Step-by-step explanation:
because the time is a independent variable
Answer:
b id the answer
Step-by-step explanation:
becasue i just finished my test
According to the picture, whats the answer?
David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther will he need to extend the length of the garden to attain his desired
1. What does this quote mean to you?
2. How can you apply it to your life?
"You exist only in what you do." ~ Federico Fellini
***Must answer with a pharagraph, minimum 5 sentences, just give me your opinion.
Answer:
My opinion is that you can exist any many things as you navigate through life. This quote is very wrong because you can exist in doing things for other people and not just yourself! You can not be selfish your entire life! I think that you should be for other people! I think that doing stuff for yourself is okay to a certain extent!
Step-by-step explanation:
THIS IS SOOO WRONG( idk tho)
This quote is telling us that you can't exist unless you are doing something worth being remembered for. Through out our lives we all listen to what the world tells us, but not many of us actually do what we want to. We live our lives for someone else, but I plan to change that. Instead of letting the public decide how I should live my life I will live for me. I will work harder in school, become smarter than my parents and grow as a person. I want to be remembered for stepping out of my comfort zone and being different. This is the year that I exist, and show people that I exist for a purpose.
Step-by-step explanation:
Went really deep with this one.
Estimate the difference to the nearest 10th 0.612-0.185
Answer:
0.4
Step-by-step explanation:
Round 0.600 - 0.200 = 0.4
which expression cannot be simplified? A.8x-8 B.8x-x C.8x+5x D.(8+5)x E.-(x+x) why
Answer:
A.8X-8
Step-by-step explanation:
because you cannot subtract a variable from a non variable hope this helps
Answer
8 * -8
Step-by-step explanation:
Hope this helps have a wonderful day
rewrite the equation as y-2=-2/3(x-(-1)) to identify a point on the graph
Answer:
point (-1, 2)
Step-by-step explanation:
Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)
The point-slope form is ...
y -k = m(x -h)
Comparing this to your given equation ...
y -2 = (-2/3)(x -(-1))
we see that ...
k = 2, m = -2/3, h = -1
The point on the graph is (h, k) = (-1, 2).
Answer:
point (-1,2)
Step-by-step explanation:
Is a quadrilateral a trapezoid? (True or False)
PLEASE HELP QUICKLY THANK YOU
Answer:
False
Step-by-step explanation:
All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.
Answer:
A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.
Step-by-step explanation:
If p represents “a number is divisible by 2,” q represents “a number is odd,” and r represents “a number is even,” what does this statement imply?
WILL MARK BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
idk y but still ur teacher can't do anything
An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds. (Round your answers to three decimal places.) (a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval. (b) Find the probability that a customer waits more than 3 seconds. (c) What is the minimum approval time for the slowest 5% of transactions
Answer:
a) 0.426 = 42.6% probability that a customer waits less than a second for credit card approval.
b) 0.189 = 18.9% probability that a customer waits more than 3 seconds.
c) The minimum approval time for the slowest 5% of transactions is 5.39 seconds.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds.
This means that [tex]m = 1.8, \mu = \frac{1}{1.8} = 0.5555[/tex]
(a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval.
This is [tex]P(X \leq 1)[/tex].
[tex]P(X \leq 1) = 1 - e^{-0.5555*1} = 0.426[/tex]
0.426 = 42.6% probability that a customer waits less than a second for credit card approval.
(b) Find the probability that a customer waits more than 3 seconds.
This is P(X > 3).
[tex]P(X > x) = 1 - P(X \leq 3) = 1 - (1 - e^{-0.5555*3}) = 0.189[/tex]
0.189 = 18.9% probability that a customer waits more than 3 seconds.
(c) What is the minimum approval time for the slowest 5% of transactions
This is x for which [tex]P(X \leq x) = 0.95[/tex]
So
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
[tex]0.95 = 1 - e^{-0.5555x}[/tex]
[tex]e^{-0.5555x} = 0.05[/tex]
[tex]\ln{e^{-0.5555x}} = \ln{0.05}[/tex]
[tex]-0.5555x = \ln{0.05}[/tex]
[tex]x = -\frac{\ln{0.05}}{0.5555}[/tex]
[tex]x = 5.39[/tex]
The minimum approval time for the slowest 5% of transactions is 5.39 seconds.