Answer:
63
Step-by-step explanation:
50+10=60 60+3=63 dollars
he spends 63$ on variable expenses
PLSS HELPPPP WILL GIVE BRAINLESSS A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.
Answer:
The answer is 82.2
Step-by-step explanation
hope this helps
I need help in understanding and solving quadratic equations using the quadratic formula
x^2+8x+1=0
Answer:
Exact Form: -4⊥√15
Decimal Form:
0.12701665
7.87298334
…
Rationalize the denominator in the expression.
[tex] \frac{4}{\sqrt{2} } [/tex]
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
See the photo for the steps. :)
If a < 0 and b > 0, then which of the following is true?
Select one:
a. a + b > 0
b. a + b < 0
c.
a + b = 0
d.
The relationship between a and b cannot be determined.
Answer:
d. The relationship between a and b cannot be determined.
Step-by-step explanation:
Given
[tex]a < 0[/tex]
[tex]b > 0[/tex]
Required
Which is true
To do this, we test each of the options using assumed values
[tex]a + b > 0[/tex]
Let:
[tex]a = -5[/tex] [tex]b= 1[/tex]
So:
[tex]-5 + 1 > 0[/tex]
[tex]-4 > 0[/tex] --- false
[tex]a + b < 0[/tex]
Let:
[tex]a = -5[/tex] [tex]b= 7[/tex]
So:
[tex]-5 + 7 < 0[/tex]
[tex]2 < 0[/tex] --- false
[tex]a + b = 0[/tex]
Let:
[tex]a = -5[/tex] [tex]b= 7[/tex]
So:
[tex]-5 + 7 = 0[/tex]
[tex]2 = 0[/tex] --- false
Hence, the relationship is not specific and cannot be determined
Find the minimum sample size needed to be 99% confident that the sample's variance is within 30% of the population's variance.
The Minimum sample size table is attached below
Answer:
[tex]X=173[/tex]
Step-by-step explanation:
From the question we are told that:
Confidence Interval [tex]CI=99\%[/tex]
Variance [tex]\sigma^2=30\%[/tex]
Generally going through the table the
Minimum sample size is
[tex]X=173[/tex]
Please help me please! I really need it! Thank you so much!!!!!!!!!!! Sorry Quality is really bad
Answer:
7[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
- 2[tex]\frac{1}{3}[/tex] - ( - 10[tex]\frac{1}{6}[/tex] ) = - 2[tex]\frac{1}{3}[/tex] + 10[tex]\frac{1}{6}[/tex] = - 2[tex]\frac{2}{6}[/tex] + 10[tex]\frac{1}{6}[/tex] = ( 10 - 2 ) + ( [tex]\frac{1}{6}[/tex] - [tex]\frac{2}{6}[/tex] ) = 8 - [tex]\frac{1}{6}[/tex] = 7 + ( [tex]\frac{6}{6}[/tex] - [tex]\frac{1}{6}[/tex] ) = 7[tex]\frac{5}{6}[/tex]
Working for a car company, you have been assigned to find the average miles per gallon (mpg) for acertain model of car. you take a random sample of 15 cars of the assigned model. based on previous evidence and a qq plot, you have reason to believe that the gas mileage is normally distributed. you find that the sample average miles per gallon is around 26.7 with a standard deviation of 6.2 mpg.
a. Construct and interpret a 95% condence interval for the mean mpg, , for the certain model of car.
b. What would happen to the interval if you increased the condence level from 95% to 99%? Explain
c. The lead engineer is not happy with the interval you contructed and would like to keep the width of the whole interval to be less than 4 mpg wide. How many cars would you have to sample to create the interval the engineer is requesting?
Answer:
a) The 95% confidence interval for the mean mpg, for the certain model of car is (23.3, 30.1). This means that we are 95% sure that the true mean mpg of the model of the car is between 23.3 mpg and 30.1 mpg.
b) Increasing the confidence level, the value of T would increase, thus increasing the margin of error and making the interval wider.
c) 37 cars would have to be sampled.
Step-by-step explanation:
Question a:
We have the sample standard deviation, and thus, the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1448
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1448\frac{6.2}{\sqrt{15}} = 3.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 26.7 - 3.4 = 23.3 mpg.
The upper end of the interval is the sample mean added to M. So it is 26.7 + 3.4 = 30.1 mpg.
The 95% confidence interval for the mean mpg, for the certain model of car is (23.3, 30.1). This means that we are 95% sure that the true mean mpg of the model of the car is between 23.3 mpg and 30.1 mpg.
b. What would happen to the interval if you increased the confidence level from 95% to 99%? Explain
Increasing the confidence level, the value of T would increase, thus increasing the margin of error and making the interval wider.
c. The lead engineer is not happy with the interval you constructed and would like to keep the width of the whole interval to be less than 4 mpg wide. How many cars would you have to sample to create the interval the engineer is requesting?
Width is twice the margin of error, so a margin of error of 2 would be need. To solve this, we have to consider the population standard deviation as [tex]\sigma = 6.2[/tex], and then use the z-distribution.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
How many cars would you have to sample to create the interval the engineer is requesting?
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.96\frac{6.2}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.96*6.2[/tex]
[tex]\sqrt{n} = \frac{1.96*6.2}{2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*6.2}{2})^2[/tex]
[tex]n = 36.9[/tex]
Rounding up:
37 cars would have to be sampled.
If a $6 per unit tax is introduced in this market, then the new equilibrium quantity will be
Answer:
soory i dont know just report me if you angry
What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
Answer:
the answer is B 16 miles
Step-by-step explanation:
so because every 3 cm is 1 mile if to make it to City Hall you would do 7 x 3 which would be 21 cm so you have 7 miles already so to make it to the post office from city hall it would be another 7 miles then 3 more cm and that would be 1 mile so 7 + 7 + 1 = 15 so then the closest number to 15 is 16 I know its right because I did the test and got it right.
Answer:
B
Step-by-step explanation:
Find the first five terms of the sequence..
Answer:
The Next fiver tems are - 2, -2,-8,-12,-16
Step-by-step explanation:
Answer:
2,-6,2,-6,2
Step-by-step explanation:
a1 = 2
an = -an-1 -4
Let n =2
a2 = -a1 -4 = -2-4 = -6
Let n=3
a3 = -a2 -4 = - (-6) -4 = +6 -4 = 2
Let n = 4
a4 = -a3 -4 = -2 -4 = -6
Let n=5
a5 = -a4 -4 = -(-6) -4 = +6-4 = 2
A window has the shape of a semicircle. The base of the window is measured as having diameter 64 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum error possible in computing the area of the window.
a. 1.3π cm^2
b. 2.4 πcm^2
c. 2.6 πcm^2
d. 3.2 πcm^2
e. 1.6 πcm^2
f. 1.2 πcm^2
Answer:
e. 1.6π cm²
Step-by-step explanation:
Since the window is in a semi-circular shape, its area A = πD²/4 ÷ 2 = πD²/8 where D = diameter of window = 64 cm
Now, the error in the area dA = dA/dD × dD where dD = error in the diameter = 0.1 cm and dA/dD = derivative of A with respect to D.
So, dA/dD = d(πD²/8)/dD = 2 × πD/8 = πD/4
So, the differential dA = dA/dD × dD
dA = πD/4 × dD
Substituting D = 64 cm and dD = 0.1 cm into the equation, we have
dA = πD/4 × dD
dA = π × 64 cm/4 × 0.1 cm
dA = π × 16 cm × 0.1 cm
dA = π × 1.6 cm²
dA = 1.6π cm²
So, the maximum error in computing the area of the window is 1.6π cm²
Help please im new and i need help
9514 1404 393
Answer:
B) False
Step-by-step explanation:
Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.
All three of the angles of the first triangle are given: 20°, 40°, 120°.
One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.
The angles aren't the same, so the triangles are not similar.
__
If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.
Then the angles in the two triangles, listed smallest to largest, are ...
20°, 40°, 120°
40°, 60°, 80°
It is clear the angles of these triangles are not the same.
15.8 Use multiple linear regression to fit x1 0 1 1 2 2 3 3 4 4 x2 0 1 2 1 2 1 2 1 2 y 15.1 17.9 12.7 25.6 20.5 35.1 29.7 45.4 40.2 Compute the coefficients, the standard error of the estimate, and the correlation coefficient.
Answer:
Kindly check explanation
Step-by-step explanation:
regression to fit
x1 0 1 1 2 2 3 3 4 4
x2 0 1 2 1 2 1 2 1 2
y 15.1 17.9 12.7 25.6 20.5 35.1 29.7 45.4 40.2
Using technology ;
The multiple linear regression fit for the data is :
y = 9.025x1 - 5.704x2 + 14.461
Where 9.025 and - 5.704 are the slope values of x1 and x2 respectively.
14.461 = intercept.
The Correlation Coefficient, R from the output is 0.998 ; this depicts a strong positive relationship between the independent variables and dependent variable.
need confirmation on this....
Answer:
X + 2y = 1
3x + y = 13
Step-by-step explanation:
A and b are the coefficients of X and y
I wasn't sure about my answer so used Gauthmath
how long does it take for a deposit of $900 to double at 2% compounded continuously?
how many years does it take to double ? ___ years __ days
9514 1404 393
Answer:
34.6574 years34 years, 239.94 daysStep-by-step explanation:
For continuous compounding the "rule of 69" applies. That is the doubling time can be found from ...
t = 69.3147/r . . . . where r is the interest rate in percent.
Here, r=2, so ...
t = 69.3147/2 = 34.6574 . . . years
That's 34 years and 240 days.
if 2x + 1=7 what is the value of x
Answer:
x=3
Step-by-step explanation:
2x+1=7
2x=7-1
2x=6
x=6/2
x=3
Answer:
Solution,
2x + 1=7
or 2x = 7 - 1
or, 2x= 6
or, x = 6
2
or, x = 3
.:. x = 3
Find the remainder when f(x) = –2x3 + x2 - 4x + 1 is divided by x + 3.
Answer:
Step-by-step explanation:
The remainder when f(x) is divided by x + 3 would be 76.
What is remainder theorem for polynomials?If there is a polynomial p(x), and a constant number 'a', then
[tex]\dfrac{p(x)}{(x-a)} = g(x) + p(a)[/tex]
where g(x) is a factor of p(x).
We have been given a function;
[tex]f(x) = -2x^3 + x^2 - 4x + 1[/tex]
We need to find the remainder when f(x) is divided by x + 3.
So, Let p(x) = x + 3
p(x) = 0
x + 3 = 0
x = -3
Substitute in the given function f(x);
[tex]f(x) = -2x^3 + x^2 - 4x + 1\\\\f(-3) = -2(-3)^3 + (-3)^2 - 4(-3) + 1\\\\f(-3) = 54 + 9 + 12 + 1\\\\f(-3) = 76[/tex]
Thus, the remainder when f(x) is divided by x + 3 would be 76.
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(x2 + 3x + 1) + (2x2 + 2x)
HINT
Answer:
3x^2+5x+1
Step-by-step explanation:
(x^2 + 3x + 1) + (2x^2 + 2x)
Combine like terms
x^2 + 2x^2 + 3x +2x +1
3x^2+5x+1
Answer:
[tex]3x^{2} + 5x + 1[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex](x^{2} + 3x + 1) + (2x^{2} + 2x)[/tex]
[tex](x^{2} + 2x^{2} + (3x + 2x) + (1)[/tex]
[tex]3x^{2} + 5x + 1[/tex]
Answer: [tex]3x^{2} + 5x + 1[/tex]
A bag of 31 tulip bulbs contains 13 red tulip bulbs, 9 yellow tulip bulbs, and 9 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. (a) What is the probability that the two randomly selected tulip bulbs are both red? (b) What is the probability that the first bulb selected is red and the second yellow? (c) What is the probability that the first bulb selected is yellow and the second red? (d) What is the probability that one bulb is red and the other yellow?
Answer:
36% on first
Step-by-step explanation:
If you are given odds of 6 to 7 in favor of winning a bet, what is the probability of winning the bet?
The probability is ___.
(Type an integer or a simplified fraction.)
Answer: 6/13
Step-by-step explanation: a/a+b = 6/6+7 = 6/13
If you are given odds of 6 to 7 in favor of winning a bet, the probability of winning the bet would be 6/13.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given; If you are given odds of 6 to 7 in favor of winning a bet, we need to find the probability of winning the bet.
P = a/a+b
P = 6/6+7
P = 6/13
Therefore, If you are given odds of 6 to 7 in favor of winning a bet, the probability of winning the bet would be 6/13.
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i need some help with this question. it says find x
Answer:
x = 9.8
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the value of y. This can be obtained as follow:
Angle θ = 45
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 45 = 6/y
0.7071 = 6/y
Cross multiply
y × 0.7071 = 6
Divide both side by 0.7071
y = 6 / 0.7071
y = 8.5
Finally, we shall determine the value of x. This can be obtained as follow:
Angle θ = 60
Opposite = 8.5
Hypothenus = x
Sine θ = Opposite /Hypothenus
Sine 60 = 8.5 / x
Cross multiply
x Sine 60 = 8.5
Divide both side by sine 60
x = 8.5 / sine 60
x = 8.5 / 0.8660
x = 9.8
Which letter on the diagram below represent a diameter of the circle
Answer:
where is your diagram?
Step-by-step explanation:
help help......................................................................................
Hey there! Is there more text to this? I would love to help, but there is no question.
In a survey one-forth like cake only and 20 didn't like cake at all. Also 50% children like ice cream but 12 like none of them.How many like both?
Answer:
2
Step-by-step explanation:
Let x represent the total number of people. Let C represent those that like cake and let I represent those that like ice cream. Given:
C = (1/4)x = 0.25x, I = 0.5x, (C ∪ I)' = 12, C' = 20
Therefore:
C ∩ I' = C' - (C ∪ I)' = 20 - 12 = 8
C ∩ I = C - C ∩ I' = 0.25x - 8
C' ∩ I = I - C ∩ I = 0.5x - (0.25x - 8) = 0.25x + 8
The total students = (C ∩ I) + (C' ∩ I) + (C ∩ I') + (C ∪ I)'
x = 0.25x - 8 + 0.25x + 8 + 8 + 12
x = 0.5x + 8 + 12
x = 0.5x + 20
0.5x = 20
x = 40
Students that liked both = C ∩ I = 0.25(40) - 8 = 2
6v(2v + 3) 2) 7(−5v − 8)
Answer:
6v(2v+3)2)7（-5v-8）
6v+2v-5v+3+2-8
3v-3
.Part D. Analyze the residuals.
Birth weight
(pounds)
Adult weight
(pounds)
Predicted
adult weight
Residual
1.5
10
3
17
1
8
2.5
14
0.75
5
a. Use the linear regression equation from Part C to calculate the predicted adult weight for each birth weight. Round to the nearest hundredth. Enter these in the third column of the table.
b. Find the residual for each birth weight. Round to the nearest hundredth. Enter these in the fourth column of the table.
c. Plot the residuals.
d. Based on the residuals, is your regression line a reasonable model for the data? Why or why not?
Answer:
Hi there! The answers will be in the explanation :D
Step-by-step explanation:
a) I'll attach a doc for the table so it'll basically answer a and b.
c) I'll also attach the graph.
d) I'm not entirely sure for this question, but I'll do my best to answer it correctly for you. I would say no, because we can see that the residuals are all positive, but the graph we're looking is going down which means it's negative. We can also see the table is increasing a bit so it doesn't really make any sense...
Hope this helped you!
Pls Help! I'll mark the correct answer brainliest <3
A new computer virus is infecting computers and handheld devices connected to the internet. The number of devices affected by the virus n, in thousands, as a function of t days after it was discovered is n(t)=235(1.24)t. Interpret the rate of change within the context of this situation.
a) The number of devices infected with the virus increases by 24% each day.
b) The number of devices infected with the virus increases by 24% each hour.
c) The number of devices infected with the virus decreases by 76% each day.
d) The number of devices infected with the virus is 235,000 when the virus was discovered.
Answer:
The number of devices infected with the virus increases by 24% each day.
Step-by-step explanation:
Have a nice day! ♡
find the HCF of 20 and 25 by listing all possible factor
Answer:
Check Internet
Step-by-step explanation:
Switch on your laptop, Open the Internet and then type your question there.
Hope this Helped You :D
Which graph corresponds to the following inequality? -2x-3y<6
Answer:
A) It’s the First graph
Step-by-step explanation: hope this helps!
The graph corresponds to the inequality -2x - 3y < 6 is option A.
How to find the value of x?To estimate the value of x and y, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Given: -2x - 3y < 6
then -2x - 3y = 6
Put the value of y = 0, then
[tex]$-2x-3*0=6[/tex]
-2x = 6
x = -6/2 = -3 and
-2x - 3y = 6
Put the value of x = 0, then
[tex]$-2*0-3y=6[/tex]
-3y = 6
y = -6/3 = -2
The value of x = -3 and y = -2.
Therefore, the correct answer is option A.
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Find the first five terms to an=2an-1+3, a1=6
Answer:
a1=6 a2=15 a3=33 a4=69 a5=141
Step-by-step explanation:
an=2an-1+3
We should attempt n=2 to find the second term
a2=2a1+3= 2*6+3=15
n=3 to find the third term
a3=2a2+3= 2*15+3=33
n=4 to find the fourth term
a4=2a3+3=2*33+3=69
n=5 to find the fifth term
a5= 2a4+3=2*69+3= 141
