Answer:
-772
Step-by-step explanation:
First, multiply the brackets with the numbers before them:
4(-) = -4
-32(22-) = -704-
2(-) = -2
Then put them back into the question
-4 - 62 - 704 - 2
Subtract them to get the answer
-4 - 62 - 704 - 2 = -772
PS: Not sure if it completely correct but it’s worth a try.
The table below represents which equation?
Answer:
the third answer is correct
Step-by-step explanation:
the starting point is 2 and it goes up by 3
The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.
Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.
The probability density function is given by:
[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]
The integral formula for the expected value is:
[tex]E(x) = \int_0^3 xf(x) dx[/tex]
Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:
[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]
[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]
[tex]E(x) = 1.83[/tex]
The expected number of coupons a customer will use is of 1.83.
A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236
If n(B) = 16, n(A ∪ B) = 26, and n(A ∩ B) = 5, find n(A).
Work Shown:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\\\26 = n(A) + 16 - 5\\\\26 = n(A) + 11\\\\n(A) + 11 = 26\\\\n(A) = 26-11\\\\n(A) = 15\\\\[/tex]
1 out of 5 apple were rotten . If 284 were edible, how many apples were harvested?
Answer:
200 apple yet to go byhfhhf
painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?
Answer:
this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2
b^2 = 512, so b = sqrt(512) = 22.6
plz help with this will mark as brinliest
Answer:
it’s c
Step-by-step explanation:
I think of a number subtract 5 then double the result
Answer:
Step-by-step explanation:
choose a number for example 20
20-5=15
15x2=30
I need it asap!!! Help a struggling geometry student out!!
9514 1404 393
Answer:
6. A
7. 80°
8. 20°
Step-by-step explanation:
6.It is helpful to read the question and identify the particular parts of the diagram it is asking about.
The corresponding hash marks mean the marked segments are congruent. These show you that ΔMQT is isosceles, so angles QMT and QTM are congruent. The sets of hash marks on NT and SM mean those segments are congruent. Of course MT is congruent to itself.
These facts let you conclude that triangles NTM and SMT are congruent by the SAS theorem. (The base angles of ΔMQT are between the pairs of congruent sides.)
The only answer choice referencing SAS is the first one, choice A.
__
7.Based on the previous question, it is a simple matter to show ΔMPT ≅ ΔTRM by SAS. Then angles MPT and TRM are congruent. Angle MPT is supplementary to angle MPN, so is 180° -100° = 80°.
Angle TRM is congruent to angle MPT, so is 80°.
__
8.With reference to ΔMQN, angle MQT is an external angle. Its measure is equal to the sum of the opposite internal angles QNM and QMN:
∠MQT = ∠NMQ + ∠QNM
95° = 75° + ∠QNM
20° = ∠QNM
From problem 6, we know that angle N is congruent to angle S, so, ...
∠TSR = ∠QNM = 20°
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
The probability that homework is assigned in Ethan's computer science class is 7/10 From a randomly chosen class, find the probability that Ethan does NOT have computer science homework.
The probability that Ethan does NOT have computer science homework is 0.3
From the information given:
Let the probability that homework is assigned in Ethan's computer science be P(A) = 7/10However, in probability, the sum of all event outcomes is always equal to 1.
∴
[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]
where;
[tex]\mathbf{ P(A^c) = }[/tex] the probability that Ethan does NOT have computer science homeworkThus;
[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]
[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]
[tex]\mathbf{ P(A^c) =0.3}[/tex]
Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1 Gallon per 6 days
Step-by-step explanation:
1/2 *2 = 1
3*2 =6
Answer:
1/6 Gallons of Milk per Day
Step-by-step explanation:
1/2 / 3 = 1/6
What is equivalent to(X+6)(x+3)
Answer:
x²+9x+18
Step-by-step explanation:
(x+6)(x+3)x(x+3)+6(x+3)x²+3x+6x+18x²+9x+18A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.
Answer:
I dont know
Step-by-step explanation:
The points (-4,2) and (4,r) lie on a line with slope -1. Find the missing cooridnate r
r = -6
Step-by-step explanation:
The slope of a line is defined as
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Let [tex]P_1(-4, 2)[/tex] and [tex]P_2(4, r)[/tex]. Since m = -1, we can write
[tex]-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}[/tex]
or
[tex]r - 2 = -8 \Rightarrow r = -6[/tex]
Brainiest for answer as always
Answer:
X=33
Step-by-step explanation:
Hope this helps!!!
Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5
Answer:
-d - 9 < 1.5
Step-by-step explanation:
In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]
-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.
[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]
Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]
Nope! -23 is not greater than 1.5. Let's try the last one.
[tex]14-9<-1.5?\\5<-1.5?[/tex]
And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.
−d−9<1.5 inequality is true when the value of d is 14.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
We have to check the inequality which is true for d when it is 14.
−d−9>−1.5
-14-9>-1.5
-23>-1.5
The first option is false.
−d−9<1.5
-23<-1.5
So the inequality −d−9<1.5 is true for d=14.
−d−9>1.5
-23>1.5
The inequality is false.
d−9<−1.5
14-9<-1.5
5<-1.5
The inequality is false.
Hence, −d−9<1.5 inequality is true when the value of d is 14.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
12x3
Name? [?]
Degree?
PLEASE NOT BOTS OR LINKS
THIS IS THE THIRD TIME I HAVE HAD TO POST THIS QUESTION
Answer: C
sajnjfsabfyavfbysa
2,329.48 rounded to the nearest hundred
Answer:
2,300
Step-by-step explanation:
the number in the tens digit is less than 5 so the 3 in the hundreds place does not round up.
63% to fraction
[tex] \frac{63}{?100} [/tex]
Follow the steps mentioned below to write 0.63 as a fraction.
Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.
Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102
Step 3: Express the fraction in simplified form.
So, 0.63 as a fraction is,
0.63 = 63/100
Suppose carpet for a 12 ft by 10 ft room costs $400. Find the cost to carpet a room 36 ft by 30 ft
Answer:
About $3600
Step-by-step explanation:
10 x 12 =120 square feet - area of the first room
$400 / 120 =$3.33 - cost of carpet per square foot.
36 x 30 = 1080 square feet - the area of the second room
1080 x $3.33 = (about) $3600 cost of carpeting the second room.
Which of the graphs best suits the following equation?
[tex]y = 6^{-x}[/tex]
Graph 1 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−1.2, 8.6), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis.
Graph 2 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−1.2, −8.6), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
Graph 3 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right, crosses the y-axis at y = 1, and exits the window at the approximate point (1.2, 8.6).
Graph 4 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right, crosses the y-axis at y = −1, and exits the window at the approximate point (1.2, −8.6).
Answer:
Graph 1 is the answer
Write an exponential equation, given initial population of 2500 and doubling time of 2 years
A population of 32,000 with a 5% annual growth rate would be modeled by the equation:
y=32000(1.05)t
with t in years.
(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km
Answer:
(3)
Distance the train can travel=252km
Distance the train can travel in 1 hour=252÷42=6km
The time needed to cover 350km= 350÷6=58.4 hours.
(4)
The cost of 1 articles=$1.95
The cost of 15 articles= 15(1.95)=$29.25
(5)
Cost of 25 articles= 43.75
Cost of 1 article= 43.75/25=1.75
(6)
Liters of petrol needed when a car travels 240km=20litre
liters of petrol needed when a car travels 600km= 20/240 x600
20/24x60
20/4x10
5x10=50liter
Add.
7 2/15 + 5 2/3 + 9 13/15 =????????????????????????????????????????????????????????????
Answer:
68/3 in decimal also Know as 22.67
explanations:
STEP 1: you first of all convert to a fraction 7 2/5=107/15
STEP 2: so the next one 5 2/3 = 17/3
STEP 3: so the next one 9 13/15= 148/15
so after that we add all the answers from step 1-3
which is : 107/15 + 17/3 + 148/15= 68/3.
hope you understand with this few explanations of mine .
pls follow.
thanks.
i'll mark brainliest thanks in advance
Answer:
x = 2
Step-by-step explanation:
These are known as alternate exterior angles. These types of angles are equal to each other.
[tex]8x-7=2x+5\\6x-7=5\\6x=12\\x=2[/tex]
V is the midpoint of UW. If UV = x + 2 and VW = 2x, what is VW?
Answer:
8 units
Step-by-step explanation:
x + 2 = 2x
2 = 2x - x
x = 2
uW = 2(2+2) = 8
Answer:
VW = 4
Step-by-step explanation:
Since V is the midpoint of line UW, we can say that the measure of UV is equal to VW (see def. of midpoint). Thus, we can generate the equation using the statements provided, leading us to this equation: x+2 = 2x. We can then subtract x on both sides, leading us to 2 = x, or x = 2.
We were given that VW = 2x, thus the measure of VW is equal to 2(2) or 4.
(BONUS: since we know that VW ≅ UV, then the measure of UV is also equal to 4, which when applied to the formula for UV (x+2) we get the equation for UV, x+2=4. This is a way to prove that x=2, as 2+2=4. We can also use this knowledge to find the total length of this line segment, which would be 8, as 4+4=8)
X ^2 -10x+9 find the Axis of symmetry and vertex
Step-by-step explanation:
the function is
x² - 10x + 9
the x value for the axis of symmetry of a quadratic equation is
ax² + bx + c
x = -b/(2a)
in our case
a = 1
b = -10
x = - -10/2 = 10/2 = 5
x=5 is the axis of symmetry.
for the vertex we need also the y :
y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16
the vertex is
(5, -16)
What’s the solution?
Answer:
Step-by-step explanation:
The up sloping line rises one unit for every one unit increase of x
m = Δy/Δx = 1/1 = 1
Its y intercept is (0, 5)
y = mx + b
y = 1x + 5
y = x + 5
The down sloping line drops six units for every four unit increase of x
m = Δy/Δx = -6/4 = -1.5
Its y intercept is (0, -5)
y = mx + b
y = -1.5x + (-5)
y = -1.5x - 5
we can verify the common intersection point by entering x = -4 into each equation
y = -4 + 5
y = 1
y = -1.5(-4) - 5
y = 6 - 5
y = 1
5) x = 3 and y = 27
k =
equation:
Step-by-step explanation:
x varies directly with y,
x = ky
When x = 3 and y = 27 ,
3 = k*27
k = 3/27 = 1/9