f ( x ) = 3x - 1
g ( x ) = 2x - 3
_____________________
g ( x ) = f ( 2 )
2x - 3 = 3(2) - 1
2x - 3 = 6 - 1
2x - 3 = 5
2x - 3 + 3 = 5 + 3
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
Make an equation that is equal to 2/3
Answer:
Replace the 4 with a 3 to make the equation true
write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x
Answer:
1. 8 + t
2. g/15
3. 5b
4. 32 - x
Step-by-step explanation:
1. the sum of 8 and t
8 + t
2. the quotient of g and 15
g/15
3. the product of 5 and b
5b
4. the difference of 32 and x
32 - x
PLEASE PLEASE HELP ME Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.
Answer:
solution below
Step-by-step explanation:
quadratic formula (note the + before the radical is ±)
[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]
Let's plug in the numbers and simply for the first one
[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]
this simplies to
[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]
Do this same process with all the other ones
If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem. never, non-optimal sometimes, optimal always, optimal
Answer:
always, feasible
Step-by-step explanation:
In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.
When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.
High school students from track teams in the state participated in a training program to improve running times. Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds. After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds. Let X represent the running time of a randomly selected student before training, and let Y represent the running time of the same student after training. Which of the following is true about the distribution of X-Y?a. The variables X and Y are independent, therefore, the meanis 34 seconds and the standard deviation is 10 seconds.b. The v ales X and Y are independent therefore, the meanis 34 seconds and the standard deviation is 50 secondsc. The variables X and Y are not independent, therefore, the standard deviation is 50 seconds and the mean cannot be determined with the information given.d. The variables and are not independent, therefore, the meanis 3 seconds and the standard deviation cannot be determined with the information givene. The variables X and Y We not independent, therefore, neither the mean nor the standard deviation can be determined with the informantion given.
Answer:
b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds
Step-by-step explanation:
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.
This means that [tex]\mu_X = 402, \sigma_X = 40[/tex]
After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.
This means that [tex]\mu_Y = 368, \sigma_Y = 30[/tex]
Which of the following is true about the distribution of X-Y?
They are independent, so:
[tex]\mu = \mu_X - \mu_Y = 402 - 368 = 34[/tex]
[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{40^2+30^2} = 50[/tex]
This means that the correct answer is given by option b.
The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds.
What is the subtraction between normal variables?
The two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before the training, the mean running mean time for the students to runing a mile was 402 seconds with standard deviation 40 seconds.
That is the [tex]\mu_x=402 , \sigma_x=40[/tex]
That is the after completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.
That is [tex]\mu_y=368,\sigma_y=30[/tex]
which of the following is true about the distribution of X-Y?
They are independent
Therefore we get,
[tex]\mu=\mu_x-\mu_y=402-368=34[/tex]
[tex]\sigma=\sqrt{\sigma_x^2-\sigma_y^2}\\\sigma=\sqrt{40^2-30^2}\\\sigma =50[/tex]
Therefore the option b is correct.
To learn more about the distribution visit:
https://brainly.com/question/24756209
This means that the correct answer is given by option b.
what is the time in Nigeria WHOEVER GETS IT ROGHT I WILL GIVE YOU BRAINLIEST
Answer:
7:55 PM
hope this helps
have a good day :)
Step-by-step explanation:
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
8
11
14
16
15
12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Most likely, you won't need to type in the percent symbol since that seems to be already done for you.
=========================================================
Explanation:
The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.
Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.
Dividing the two values gets us A/B = 3/100 = 0.03 = 3%
The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".
In circle C with mZBCD = 106 and BC = 6 units find area of sector BCD.
Round to the nearest hundredth.
D
с
B
Answer:
33.30 units²
Step-by-step explanation:
Central angle = m<BCD = 106°
Radius (r) = 6 units
Area of sector BCD = central angle/360° × πr²
Plug in the values into the formula
Area of sector BCD = 106/360 × π × 6²
Area of sector BCD = 106/360 × π × 36
Area of sector BCD = 33.3008821
Area of sector BCD = 33.30 units² (nearest hundredth)
if a bag of rice weighs 55 kg find the weight of 123 bags of rice
Answer:
6765
Step-by-step explanation:
the answer is 6765
Answer: 6,765 kg
Step-by-step explanation:
55 x 123 = 6,765kg of Rice
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given
Answer:
Quantitative data
Step-by-step explanation:
The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."
Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.
Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.
Х
Leila is buying a dinosaur model. The price of the model is 2 dollars, and she also has to pay a 7% tax
Which of the following expressions could represent how much Leila pays in total for the model?
Choose 2 answers:
107
1
100
B
0.70 + 2
1.07.2
D
7
+ 1
10
1.72
Answer: 107/100x
1.07x
Step-by-step explanation:
Since the price of the model is x dollars, and she also has to pay a 7% tax, the amount that Leila will pay in total for the model will be the addition of the price of the model and the tax. This will be:
= x + (7% × x)
= x + (7/100 × x)
= x + (0.07 × x)
= x + 0.07x
= 1.07x
This can also be 107/100x
To find out your balance on a savings account at a bank, which
measurements must be accurate? Check all that apply.
A. Interest rate
B. The number of times interest is calculated for your account
C. Number of customers at the bank per day
Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2
Answer:
A.
Step-by-step explanation:
1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);
2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then
3. P=5/10=0.5 (option 'A').
Karen has calls has 500 or 900 yards of thick soft wool, she has 200 feet at the strore they have 500 feet of wool. How many balls should she buy
Answer:
Yes.
Step-by-step explanation:
Because yes.
Suppose that a large mixing tank initially holds 500 gallons of water in which 60 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 5 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)
Answer:
The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"
Step-by-step explanation:
[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]
Solve for x. Assume that lines which appear tangent are tangent.
CAN YALL HELP ME ASAP
Answer:
48
Step-by-step explanation:
By intersecting tangent and secant theorem:
[tex]27(27 + x) = {45}^{2} \\ 729 + 27x = 2025 \\ 27x = 2025 - 729 \\ 27x = 1296 \\ x = \frac{1296}{27} \\ x = 48[/tex]
Warner was paid $375.25 for working 25 hours. What was his hourly pay?
Answer:
$15.01 an hour
Step-by-step explanation:
[tex]\frac{375.25}{25}=15.01[/tex]
what could the expression below represent? please help
Answer:
third
Step-by-step explanation:
arctan of ( opp/adj) = arctan( 10/15 )
the shadow is 15 so 10 must be the height of the streetlight and
arctan (10/15) is the angle between the ground and the line from the edge of the shadow to the top of the streetlight
A basketball player made 135 of the 225
foul shots he took in 4
games.
How many shots will he make in his next game if he attempts 30 foul shots?
135/225=3/5
3/5 times 6 on both sides=18/30
so he will make 18 shots
multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST
[tex]\boxed{30.6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]9 \times 3.4 \\ = 30.6[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Gina types 150 words in 3 minutes. Linda types 80 words in 2 minutes. How much
longer would Linda take to type 8 pages that contain 500 words on each page?
full working
Answer:
20 minutes
Step-by-step explanation:
It would take 20 minutes longer for Linda to type 8 pages that contain 500 words on each page.
can you please answer these four questions
the other answer is 6 8 /11
Answer:
First question: C. 20 7/12
Second question: B. 242
Third question: D. 4.8
Fourth Question: C. 2 5/18
Step-by-step explanation:
Answer:
20 7/12
Step-by-step explanation:
=6 1/2 + 4 2/3 + 9 5/12
=19 19/12
=19 + 1 7/12
=20 7/12
The zeros of a parabola are 6 and -5. If (-1, 3) is a point on the graph, which equation can be solved to find the
value of a in the equation of the parabola?
O3 = a(-1 + 6)-1-5)
O 3 = a(-1-6)(-1 +5)
O -1 = a(3+6)(3-5)
O-1 = a(3-6)(3+5)
Answer:
3 = a(-1-6)(-1+5).
Step-by-step explanation:
y = a(x - 6)(x + 5)
When x = -1, y = 3 so we have:
3 = a(-1-6)(-1+5).
what degree of rotation about the origin will cause the triangle below to map onto itslef
Answer:
[tex]360^o[/tex]
Step-by-step explanation:
Given
The attached plot
Required
Which degree maps the triangle onto itself
The degrees that can map a point, line, or shape onto itself are:
[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]
i.e. multiples of 360
Looking at the given options
[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples
In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]
A defense company working for the government claims that at most 6% of its missiles are defective. A sample of 160 missiles is taken and 16 are defective. Test their claim at 1% level.
Required:
State clearly the null and the alternative hypothesis
Answer:
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
Step-by-step explanation:
The null hypothesis is the problem statement and the alternate hypothesis is a contradiction of null hypothesis
Hence,
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
please help will award brainliest
Answer:
Slope: 7/5
Step-by-step explanation:
Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.
Hope this helped :)
I need answer to both of the questions please someone!! 20points
Answer:
Step-by-step explanation:
x+62=90 degree (being perpendicular)
x=90-62
x=28 degree
x+25=90 (being perpendicular)
x=90-25
x=65 degree
Answer:
1)X+62 =90
x+62-62=90-62
x =28
2) X+25+90+180 =360
x +295=360
x =360-295
x =65
What is the area of this trapezoid?
A trapezoid with short base 2 millimeters, long base 3 millimeters, and height 8 millimeters.
A. 8 mm2
B. 16 mm2
C. 20 mm2
D. 40 mm2What is the area of this trapezoid?
A trapezoid with short base 2 millimeters, long base 3 millimeters, and height 8 millimeters.
A. 8 mm2
B. 16 mm2
C. 20 mm2
D. 40 mm2
Answer:
20mm2
Step-by-step explanation:
3+2=5
5divided by 2 = 2.5
2.5 times 8 = 20
Answer:
C. 20 mm²
Step-by-step explanation:
Formula for trapezoid = [tex]\frac{base1 + base 2}{2}*height[/tex]
So 1/2(2+3)*8
1/2(5) * 8
2.5 * 8 = 20
Units area in mm²
20 mm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please help thx 7th grade
Answer:
All of them except a trapezoid
Step-by-step explanation:
The playground has two pairs of sides that are congruent to each other (70 = 70, 50 = 50), but a trapezoid only has ONE pair of sides that are congruent to each other; the other two are not the same. Therefore, this playground can be any shape besides a trapezoid.
Write a recursive rule for -3, -1, 2,6,11
Answer:
números enteros que comprende a los positivos y negativos