Answer:
[tex]\huge \boxed{f(-2)=6}[/tex]
Step-by-step explanation:
[tex]\sf f(x)=-1x+4[/tex]
Switching x variable with -2.
[tex]\sf f(-2)=-1(-2)+4[/tex]
Evaluating.
[tex]\sf f(-2)=2+4[/tex]
[tex]\sf f(-2)=6[/tex]
Answer:
6Step-by-step explanation:
[tex]f(x) = -1x + 4\\\\f(-2) =?\\\\f(-2) = -1(-2) +4\\f(-2) = 2+4\\f(-2) = 6[/tex]
Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of each parabola.
focus: (-3,0), directrix: x = 6
Choose the correct standard equation below.
OA.
y2 = - 18(x-3)
OB. x2 = 12(y + 3)
Ос.
x2 =
= -18
OD. y2 = 12(x+3)
Find the length of the latus rectum.
(Simplify your answer.)
Answer:
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 18
Step-by-step explanation:
Explanation:-
Given focus : (-3 ,0) ,directrix : x=6
Let P(x₁ , y₁) be the point on parabola
PM perpendicular to the the directrix L
SP² = PM²
(x₁ +3)²+(y₁-0)² = [tex](\frac{x_{1}-6 }{\sqrt{1} } )^{2}[/tex]
x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36
y₁² = -18 x₁ +36 -9
y₁² = -18 x₁ +27
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 4 (18/4) = 18
County had 112 cases on June 22. On July 22 there were 553 cases. At that rate, how many days will it take before there are 1000 cases?
Answer:
30.4 days or 31 days
Step-by-step explanation:
553 - 112 = 441
it took 30 days for 441 cases
30 / 441 = 0.06802721088
1000 - 553 = 447
0.06802721088 x 447 = 30.4081632653
30.4 days or 31 days
CORRECT ANSWER GET BRAINLIEST!! PLS HELP FAST!!
Answer:
1. 0.5 for x, 3 for y
2. 1.5 for x, 9 for y
3. 2.5 for x, 15 for y
Step-by-step explanation:
I will explain later if you still need help...but you said you need it fast, so I don't want to be too slow. :)
Hello, there are three questions and pictures of them in the links If you could solve them that would be awesome, thank you!
Answer:
1. 1 * [tex]x^{3/6}[/tex] = [tex]x^{3/6}[/tex] (it will be equal to the sixth root of x cube)
2. No, the expression [tex]x^{3}[/tex] X [tex]x^{3}[/tex] X [tex]x^{3}[/tex] will be equal to [tex]x^{3 + 3 + 3 }[/tex] since the powers of numbers with the same base are added
3. B and D 1/[tex]x^{-1}[/tex] is the same as 'x'
as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be [tex]x^{3/3}[/tex] which will be equal to x
The director of student health decides to test every student on campus for tuberculosis. If there are 3000 students out of which only 50 have tuberculosis and the probability of a false positive on the test is 0.008 and a false negative is 0.15, what is the probability that a person who tested positive actually has TB?
Answer: the probability that a person who tested positive actually has TB is 0.64
Step-by-step explanation:
lets say
T : has tuberculosis
+ : test results +ve
- : test result is -ve
so given that
P(+ITc) = 0.008
P(-ITc) = 0.15
P(T) = 50/3000 = 1/60
P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60
Now required probability
= P(TI+)
P(T∩+) / P(+)
= P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]
= P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]
WE SUBSTITUTE
= { 1/60 × (1-0.15) } / [1/60 × (1 - 0.15)] + [(59/60) × 0.008]
= (0.0167 × 0.85) / [(0.0167 × 0.85) + (0.9833 × 0.008)]
= 0.01417 / 0.02206
= 0.6423 ≈ 0.64
∴ the probability that a person who tested positive actually has TB is 0.64
Evaluate r(x)=2x −1 over the domain {0,1,2,3}. What is the range of r(x)? Separate values with a comma.
Answer:
The range of r(x) is [tex]\{-1,1,3,5\}[/tex].
Step-by-step explanation:
The range of a function is the set of images associated with a given domains. As domain is a discrete set, the range can be determined by evaluating the function at each element in domain:
x = 0
[tex]r(0) = 2\cdot (0)-1[/tex]
[tex]r(0) = -1[/tex]
x = 1
[tex]r(1) = 2\cdot (1) - 1[/tex]
[tex]r(1) = 1[/tex]
x = 2
[tex]r(2) = 2\cdot (2) -1[/tex]
[tex]r(2) = 3[/tex]
x = 3
[tex]r(3) = 2\cdot (3) -1[/tex]
[tex]r(3) = 5[/tex]
The range of r(x) is [tex]\{-1,1,3,5\}[/tex].
The data below represent the weight losses for people on three different exercise programs.
Exercise A Exercise B Exercise C
2.5 5.8 4.3
8.8 4.9 6.2
7.3 1.1 5.8
9.8 7.8 8.1
5.1 1.2 7.9
If we want to test the claim that the three size categories have the same means, why don't we use three separate hypothesis tests for μ1 = μ2, μ2 = μ3, and μ1 = μ3?
A. The risk of type l error increases and becomes too high.
B. Actually, we do want to use three separate hypothesis tests.
C. The risk of type ll error increases and becomes too high.
D. A hypothesis test for comparing two means does not exist.
Answer:
A. The risk of type l error increases and becomes too high.
Step-by-step explanation:
The overall level of significance increases as the number of t- tests ( used for comparing two, three or four means separately ) increases. This in turn increases the risk of type I error.
We might be tempted to apply the two sample t- test to all possible pairwise comparisons of means. This type of running t- test to several means comparison has the risk of increasing overall level of significance
Help me please thank you
Answer:
x = 7
Step-by-step explanation:
5x + 9 = 6x + 2
5x - 6x = 2 - 9
-x = -7
x = 7
probe:
5*7 + 9 = 6*7 + 2
35 + 9 = 42 + 2 = 44
Answer:
x = 11
Step-by-step explanation:
The angles shown are alternate exterior angles. If they are equal, then the lines are parallel
5x+9 = 6x-2
Subtract 5x from each side
5x-5x+9 = 6x-5x-2
9 = x-2
Add 2 to each side
9+2 = x
11 =x
cual es los primeros tres digitos de pi
Answer:
3.14
Step-by-step explanation:
Los primeros tres son 3.14
Help!!!!!! What is the absolute value of Point A labelled on the number line? Drag and drop the answer into the box to match the correct statement.
Answer:
see below (I hope this helps!)
Step-by-step explanation:
We can see that every 3 tick marks on the line is 1, therefore, the space between 2 tick marks is 1/3. Using this information, we can see that A = [tex]-3\frac{1}{3}[/tex]. The absolute value of a negative number is simply the additive inverse of the number, therefore, our answer is [tex]-(-3\frac{1}{3}) = 3\frac{1}{3}[/tex].
If you get this, you are a critical thinker.
I enter the bedroom.
There are 34 people. You kill 30. How many people are in the bedroom?
Good Luck!
If you get it correct your answer will be deleted and I’ll message you to continue the game. Don’t bother playing if you’re not going to continue, party poopers!
Answer:
The correct answer is 34 people
Step-by-step explanation:
Killing 3 people does not change the number of people in the bedroom, it only means that there are 30 dead people and 4 living people, but overall, here are 34 people in the room.
There are 35 people in the room.
Killing 30 people does not exclude them from the room.
Similarly I entered the room when there were 34 people adding 1 more to 34 gives 35 people.
35= 34+1
There are 35 people in the room.
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What is the value of t?
Answer:
[tex]t=22[/tex]
Step-by-step explanation:
First, note that the entire thing is a square. This is because since two of the opposite angles are right angles, the remaining two must also be right angles.
In a square, all four sides are equivalent.
Therefore, the sides PS an RS are equal to each other. Thus:
[tex]PS=RS\\t+22=2t\\22=t\\t=22[/tex]
Stella rewrite -2 1/2+3.7 using the commutative property of addition. Which expression did she write
Answer:
Step-by-step explanation
C
Figure ABCD is a rectangle. Which segment is parallel to AB?
D
A
С
B
Answer:
cd
Step-by-step explanation:
Because if you think of a rectangle the parallel side is CD
Answer:
segment CD would be parallel to segment AB
Step-by-step explanation:
Solve: X/4=6 Can you please assist?
Answer:
x = 24
Step-by-step explanation:
In order to solve for x, you need to isolate it on one side of the equal sign. So in this case you need to multiply both sides by 4, in order to cancel the dividing factor 4 that appears in the denominator :
[tex]\frac{x}{4} =6\\4\,*\,\frac{x}{4} =6\,*\,4\\x = 24[/tex]
Answer:
X = 24
Step-by-step explanation:
[tex]\frac{X}{4}=6\\\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4X}{4}=6\times\:4\\\\\mathrm{Simplify}\\X=24[/tex]
Evaluate the expression if x=12, y=8, and z=3 4x-yz
Answer:
[tex]\huge \boxed{24}[/tex]
Step-by-step explanation:
Let if x=12, y=8, and z=3.
[tex]4(12)-(8)(3)[/tex]
Evaluate.
[tex]48-24[/tex]
[tex]=24[/tex]
Start by substituting the appropriate numbers in for
your variables, using parenthses as you go.
You'll get 4(12) - (8)(3).
Now think about your order of operations.
Multiplication comes before subtraction.
So first multiply 4(12) to get 48.
So we have 48 - (8)(3).
Now multiply (8)(3) to get 24.
So we have 48 - 24 which is 24.
Find the value of 717×213 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same, so the difficulty is the same same excepting the ability to perform the calculation in your head. You may choose to use a calculator.
Answer:
717 * 213 = 152721
Step-by-step explanation:
Given
717 and 213
Required
Multiply
Rewrite in the following form
7 1 7
* 2 1 3
---------------------
Start by multiply 717 by 3
7 1 7
* 2 1 3
---------------------
2 1 5 1
Then multiply 717 by 1
7 1 7
* 2 1 3
---------------------
2 1 5 1
7 1 7
Then multiply 717 by 2
7 1 7
* 2 1 3
---------------------
2 1 5 1
7 1 7
1 4 3 4
Lastly, add the resulting digits
7 1 7
* 2 1 3
---------------------
2 1 5 1
7 1 7
1 4 3 4
--------------------------
1 5 2 7 2 1
Hence; 717 * 213 = 152721
A partially amortizing loan of $200,000 is made with 4.55% annual interest. A balloon of $20,000 exists on the loan. If the monthly payments are $2,500, in how many years will the loan be fully repaid?
Answer:
7.28 years
Step-by-step explanation:
Given that:
A partially amortizing loan of with a present value = $200000
is made with a 4.55% annual interest rate.
i.e rate (4.55/100) ÷ 12
= 0.0455 ÷ 12
= 0.00379
A balloon of $20,000 exists on the loan
This implies that the Present value of the loan = 20000
If the monthly payments PMT are $2,500
The number of years that it will require for the loan to be fully repaid can be calculated by using the EXCEL FUNCTION (=NPER(0.00379;-2500;200000;-20000;0) )
= 87.3997 /12
= 7.28 years
The Excel computation can be found in the attached file below
Sarah orders 34 shirts that cost $7 each. She can sell each shirt for $15. She stole 27 shirt to customers she had to return 7 shirts and pay a $2 charge for each returned shirt. FIND SARAH’S PROFIT.
Answer:
$153
Step-by-step explanation:
She orders 34 shirts for $7 each.
34 × 7 = $238 - total cost for the shirts
She sells 27 shirts for $15 each.
27 × 15 = $405 - profit from selling shirts
Subtract the profit from the amount paid.
$405 - $238 = $167
Sarah has a profit of $167. But, she had to return 7 shirts and pay $2 each.
$7 × 2 = $14 - charge for returning shirts
Subtract this from the profit made to get the final profit.
$167 - $14 = $153
Sarah's profit is $153 from buying and selling the shirts.
Hope that helps.
In order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Chris makes $35,000 per year after getting his degree, approximately how many years will it take him to recover his investment?
Answer:
Step-by-steIn order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Chris makes $35,000 per year after getting his degree, approximately how many years will it take him to recover his investment? *
it would take him 7 years to recover the 35,000 he invested
p explanation:
he was in college two years and it cost him a total of 5000 and he lost 30000 from the two years he worked part time
A simple random sample of college students was performed recently in which the students were asked to self identify as to whether they are binge drinkers or not. In a 1995 study it was found that about 44% of students were self identified as such and the researcher believed that this number has increased. In this study 7851 of the 17592 students interviewed self identified as binge drinkers. A 90% confidence interval of the estimated binge drinking rate is
Answer:
The 90% confidence interval is [tex]0.445< p < 0.456[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 17592[/tex]
The number of binge drinkers is [tex]k = 7851[/tex]
Given that the confidence level is 90% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 90)\%[/tex]
[tex]\alpha = 0.10[/tex]
The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
The sample proportion is mathematically represented as
[tex]\r p = \frac{ 7851}{ 17592}[/tex]
[tex]\r p = 0.45[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{ \frac{x}{y} } * \sqrt{\frac{\r p(1 - \r p )}{n} }[/tex]
[tex]E =1.645 * \sqrt{\frac{ 0.45 (1 - 0.45 )}{17592} }[/tex]
[tex]E =0.00617[/tex]
The 90% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
[tex]0.45 -0.00617 < p < 0.45 + 0.00617[/tex]
[tex]0.445< p < 0.456[/tex]
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
A (the marked answer is correct)
Step-by-step explanation:
The result of a single refection will look like the reverse of the letter Z, so the only possibilities are choices A and C.
Since the horizontal lines are still horizontal, the reflection must be across a horizontal or vertical line. If the reflection is across a horizontal line, the image will be vertically aligned with the preimage. If the reflection is across a vertical line, the image will be horizontally aligned with the preimage.
Choice A is horizontally aligned with the preimage. Choice C is not aligned either way. (It is a "glide reflection.")
Image A is the result of reflection across the y-axis.
Linda Roy received a $200,000 inheritance after taxes from her parents. She invested it at 4% interest compounded quarterly for 3 years. A year later, she sold one of her rental properties for $210,000 and invested that money at 3% compounded semiannually for 2 years. Both of the investments have matured. She is hoping to have at least $500,000 in 7 years compounded annually at 2% interest so she can move to Hawaii. Will she meet her goal?
Answer:
Step-by-step explanation:
Matured amount of $200000 at 4% compounded quarterly after 3 years
= $200000 x ( FVIF , 1 , 12 )
= $200000 X 1. 1268
= $225360 .
Matured amount of $210000 at 3% compounded semiannually after 2 years
= $210000 x ( FVIF , 1.5 , 4 )
= $210000 X 1. 1268
= $225360 x 1.0614
= $239197
Total amount after maturity
= $225360 + $239197
= $464557
Matured amount of $464557 at 2% compounded annually after 7 years
= $464557 x ( FVIF , 2 , 7 )
= $464557 x 1.1487
= $533636.6
This amount is more than his target amount of 500000.00 So she meets the goal .
B=3x+9xy solving for x
Answer:
Dear its two variable function so either you should give me other function of x and y or you should give me condition to solve this problem
so see you next time
Step-by-step explanation:
Find the value of “a”
Answer:
The correct answer is a = 8.
Step-by-step explanation:
To solve this problem, we must remember the formula for slope, which is:
slope = m = (y2 - y1)/(x2 - x1)
Now, we can plug in the values that we are given into the slope formula:
-3/2 = (-3-6)/(a-2)
Now, we should begin to simplify the equation.
-3(a-2) = 2(-9)
We can use the distributive property to eliminate the parentheses on each side of the equation:
-3a + 6 = -18
Then, we can subtract 6 from both sides of the equation to get the variable term alone on the left side of the equation:
-3a = -24
Finally, we should divide both sides by -3 to completely isolate the variable on the left side of the equation:
a = 8
Therefore, the correct answer is a= 8.
Hope this helps!
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.464. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide?
A.) The coefficient of determination is 0.215. 78.5% of the variation is explained by the linear correlation, and 21.5% is explained by other factors.
B.) The coefficient of determination is 0.785. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
D.) The coefficient of determination is 0.785. 78.5% of the variation is explained by the linear correlation, and 21.5% is explained by other factors.
Answer: C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
Step-by-step explanation:
Given that :
Number of observations = 40
Linear Correlation Coefficient (R) = 0.464
The Coefficient of determination ( R^2) =?
The Coefficient of determination (R^2) is the squared value of the linear correlation Coefficient value (R) . The value value ranges from 0 to 1 and depicts the proportion of the variation in the dependent variable that can be accounted for by the independent variable.
For the scenario given above,
The Coefficient of determination (R^2) = 0.464^2 = 0.215296 = (0.215296 * 100%) = 21.5%
This means that 21.5% of the variation can be explained by the relationship between both variables while (100% - 21.5% = 78.5%) can be explained by other factors.
Consider the following sets. U = {all real number points on a number line} A = {solutions to the inequality 3x + 4 ≥ 13} B = {solutions to the inequality One-halfx + 3 ≤ 4} For which values of x is A ⋃ B = Ø? 2 3
Answer:
2 < x < 3
Step-by-step explanation:
Set A)
3x + 4 ≥ 13
3x ≥ 9
x ≥ 3
Set B)
0.5x + 3 ≤ 4
0.5x ≤ 1
x ≤ 2
Plot it out on a number line, and you'll see that 2 < x < 3
Answer:
It's A
Step-by-step explanation:
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between and minutes. Find the probability that a given class period runs between and minutes.
Question:
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 55.0 minutes. Find the probability that a given class period runs between 50.75 and 51.5 minutes.. (Round to three decimal places as needed.)
Answer:
[tex]Probability = 0.150[/tex]
Step-by-step explanation:
Given
Type of distribution: Uniform Distribution
Distribution Interval: 50.0 to 55.0
Required
Determine the probability that her class is between 50.75 and 51.5
First, we need to calculate the difference between the distribution interval (D1)
[tex]D1 = 55.0 - 50.0[/tex]
[tex]D1 = 5.0[/tex]
Next is to calculate the difference between the probability interval (D2)
[tex]D2 = 51.50 - 50.75[/tex]
[tex]D2 = 0.75[/tex]
The required probability is calculated by dividing D2 by D1
[tex]Probability = \frac{D2}{D1}[/tex]
[tex]Probability = \frac{0.75}{5.0}[/tex]
[tex]Probability = 0.150[/tex]
Jana's friend draws a card that shows a 0. Draw a point at 0. What is the opposite of 0?
Explain.
Answer:
There is no opposite of 0.
Step-by-step explanation:
There cannot be a zero the opposite of zero. If there was, then there would be two 0's, and there is only one.
A tire manufacturing company has fixed cost of $20,000 and production cost of $60 per tire. If the tires are sold at $100 each, find the following: Profit Loss or Gain if 300 tires are produced
Answer:
A loss of 8,000
Step-by-step explanation:
If each tire is sold at $100 and 300 tires are sold then the amount gained is 30,000.
Cost of production for the tires is 18,000, so now we must subtract 18,000 from 30,000 to get 12,000.
Finally, we take away the fixed cost (20,000) from 12,000 to get -8,000.
The manufacturing company will be in a loss of $8000 after selling 300 tires produced.
What is production cost?Production costs are the expenses incurred by a firm when it manufactures a product or provides a service that generates income.
What is selling cost?The selling cost is defined as the cost at which a particular item is sold.
No. of Tires produced = 300
Production cost of each tire = $60
Total Production cost = 60 * 300 = $18000
No. of Tires sold = 300
Selling cost of each tire = $100
Total selling cost = 300 * 100 = $30000
Total profit in selling 300 tires = $12000.
Fixed cost of the company = $20000
Loss = $20000 - $12000 = $8000
Hence Loss suffered by the company is $8000.
Learn more about profit and loss:
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