Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
PLEASE ANSWER ASAP: Dianna can carry up to 15lbs in her backpack. Her lunch weighs 1 lb, her gym shoes weigh 2 lbs, and her books weigh 1.5 lbs each. Which inequality shows how many books Dianna can carry in her bag if she has her lunch and gym shoes?
Answer: A
Step-by-step explanation:
she can carry 1.5 pounds of books plus the extra 3 pounds as long as its less than or equal to 15 lbs
The inequality that shows the number of books that Diana can carry in her bag if she has her lunch and gym shoes is 3 + 1.5x ≤ 15.
What inequality represents the number of books that Diana can carry?The first step is to determine the total weight of the items in her bag:
1 + 2 = 3lbs
The second step is to determine the inequality sign to use:
the inequality sign to be used is the less than or equal to sign - ≤
The equation becomes: weight of items in her bag + (weight of one book x total number of books) ≤ weight the bag can carry
3 + 1.5x ≤ 15
(3-97)(3+9)=
(Simplify your answer. Type your answer in the form a +bi.)
Answer:
-1128
Step-by-step explanation:
Can someone help me with this question plz Show work.
Answer:
D. 32.3
Step-by-step explanation:
Length-a
Width-b
A=ab=6.8×4.75=32.3
A bin of 5 transistors is known to contain 2 that are defective. The transistors are tested one at a time until both defective transistors have been identified. Denote N1 the number of tests until the first defective is identified and N2 the number of tests until the second defective is identified. (a) Find the joint probability mass function of N1 and N2.
Answer:
sorry I donot know the answer never mind ok
Analysis of the venom of seven eight-day-old worker bees yielded the following observations on histamine content in nanograms: 649, 832, 418, 530, 384, 899, 755.
(a) Construct by band a 90% CI for the true mean histamine content for all worker bees of this age. What assumptions, if any, are needed for the validity of the CI?
(b) The true mean histamine content will be in the CI you constructed in part (a) with probability 90%. True or false?
(c) Find the confidence level of the CI (418, 832) for the population median histamine content.
Answer:
a.
• The population is normally distributed
• The 7 subjects represent a random sample from this population
b. True
c. 74.16%
Step-by-step explanation:
on using data [649, 832, 41 8, 530, 384, 899, 755] (please correct if wrong)
sample mean: 638.143
s: 201.72
Sample Mean = 638.143
SD = 201.72
Sample Size (n) = 7
Standard Error (SE) = SD/root(n) = 76.243
alpha (a) = 1-0.9 = 0.1
we use t-distribution as population standard deviation is unknown t(a/2, n-l ) = 1.9432
Margin of Error (ME) = SE = 148.1554
90% confidence interval is given by: Sample Mean +/- (Margin of Error) 638.143 +/- 148.1554 = (489.9876 , 786.2984)
• The population is normally distributed
• The 7 subjects represent a random sample from this populatio
(b) true, this is the definition of Cl
(c) (41 8, 432) has width = 14
hence, Margin of error = 7
sorted data is 384, 418, 530, 649, 755, 832, 899
Here 418 and 432 are 2nd and 6th entry of sample size of 7
Since median is given by (1 + n/2 + z(alpha/2)*sqrt(n) /2 )th entry on the right, we conclude that 1 + (3.5 + this gives z = 1.1339 ==> alpha = 0.2584
Hence this Cl is of 74.16% (approximately)
Note that your course might have given a different formula for calculating Cl medians from sample.
29:07
Using the patterns of inverse variation, complete the following table if y is inversely proportional to the cube of x:
x
0.5
64
2
Y
16
a.
1
0.037
4
b.
2
C.
d.
8
Please select the best answer from the choices provided
A
B
С
D
9514 1404 393
Answer:
a. 1
Step-by-step explanation:
"y is inversely proportional to the cube of x" means ...
y = k/x³
The value of k can be found from ...
k = x³y
The second table entry lends itself to easy computation of k:
k = 1³·8 = 8
Then the third table entry is ...
y = 8/2³
y = 1 . . . . matches choice A
Answer:
its a.) 1
Step-by-step explanation:
i got 100 on the test
I need help I’m so lost
Answer:
B I think
Step-by-step explanation:
ahhhh I see now yes I do
Answer: yes
Step-by-step explanation: so smart I think
1.
A rock is thrown upward with a velocity of 12 meters per second from the top of a 28
meter high cliff, and it misses the cliff on the way back down. When will the rock be 5
meters from ground level? Round your answer to two decimal places.
Gravity Formula
PLS HELP
Answer:
The rock will be be 5 meters from ground level at time = 3.713 seconds
Step-by-step explanation:
As we know-
[tex]s(t) = -4.9 * t^2 + v_0t + s_0[/tex]
V0 = velocity
S0 = height above ground when thrown
Substituting the given values, we get -
[tex]9 = -4.9* t^2 + 12 * t +32\\-4.9*t^2 +12*t + 23 = 0[/tex]
As per the formula
[tex]t = \frac{-12+ \sqrt{12^2 -4*(-4.9)*23} }{(2*(-4.9)} \\t = 3.713[/tex]
The rock will be be 5 meters from ground level at time = 3.713 seconds
Sort these fractions in ascending order.
4/5
3/7
1/6
2/3
Answer:
1/6, 3/7, 2/3, 4/5
Step-by-step explanation:
3. Do you UNDERSTAND? Write an expression for the area of
the rectangle.
1
2x4
6x4
Plz help!!
Write the equation that represents the graph shown.
The Antique Auto News charges $10 for a 10-word classified ad. Each additional word costs $0.40. For an extra $40, a seller can include a photo in the ad. How much would a 20-word ad with a photo cost?
Answer: $60
Step-by-step explanation:
Here is why:
For 20 -word ad it will be $20 because of twice the amount of the 10 word amount. and another $40 for the photo!
And you get $60!
Any Questions
It will cost $54 for an 20 word ad and a photo.
We have Antique Auto News agency which charges $10 for a 10-word classified ad. Each additional word costs $0.40 and for an extra $40, a seller can include a photo in the ad.
We have to determine much would it cost for a 20-word ad with a photo.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to the question, we have -
Cost of 10-word classified ad → $10
Additional word cost → $0.40
Additional Photo cost → $40
Therefore -
Assume that for a 20-word ad with a photo costs $x.
Therefore -
x = 10 + 0.40 x 10 + 40
x = 10 + 4 + 40
x = 54
Hence, it will cost $54 for an 20 word ad and a photo.
To solve more questions on Amount estimation , visit the link below-
https://brainly.com/question/8158280
#SPJ2
HELP IS STUDY ISLAND I NEED THIS NOW
Answer:
i think A. 6 in
Step-by-step explanation:
because the lenght is diagram 3
Helpppppppppppppppppppp
Answer:
95°
Step-by-step explanation:
95°
They are vertical angles.
Answer:
95 degree write it fast jakakkaoaoa
NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8
Answer:
6 is the median
Step-by-step explanation:
The median is the same as the number in the middle, and the number in the middle is 6.
A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72
A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.
Answer:
6g/cm^3
Step-by-step explanation:
The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.
Answer: 6g/cm^3
Hope this helps!
Answer:
p = 6 g/cm³
Step-by-step explanation:
Given: cube sides= 2 cm and 48 g
To find: The cube's density
Formula: [tex]{p} \frac{m}{V}[/tex]
Solution: Measure the height, width, and depth of the shipment in inches.
Multiply the three measurements (height x width x depth).
Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).
Divide the weight (in pounds) of the shipment by the total cubic feet.
p = density
m = mass
V = volume
Drag the boxes to match the answers
Answer:
hi
Step-by-step explanation:
this is too hard for me but i am sure u will get it :D
look at pic 10 pts will mark brainilest
Answer:
The answer is B or 8
Step-by-step explanation:
Answer:
B. $8
Step-by-step explanation:
Find the slope of the graph 40/5 = 8
(50 pts will mark brainliest) The perimeter of a rectangle is 48 inches. The width of the rectangle is 4 inches more than 3 times the length of the rectangle. What are the dimensions of the rectangle?
Answer:
The rectangle is 5 inches long by 19 inches wide.
Step-by-step explanation:
Let's start by listing what we know:
The perimeter of a rectangle is 48 inches.The width of the rectangle is 4 inches more than 3 times the length of the rectangle.Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.
[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]
Now, let's solve the system of equations using substitution:
[tex]2w + 2l = 48[/tex]
[tex]2 (3l + 4) + 2l = 48[/tex]
[tex]6l + 8 + 2l = 48[/tex]
[tex]8l + 8 = 48[/tex]
[tex]8l = 40[/tex]
[tex]l = 5[/tex]
The length of the rectangle is 5 inches.
Now, let's use this to solve for the width.
[tex]w = 3l + 4[/tex]
[tex]w = 3(5) + 4[/tex]
[tex]w = 15 + 4[/tex]
[tex]w = 19[/tex]
The width of the rectangle is 19 inches.
Let's check our work:
[tex]2w + 2l = 48[/tex]
[tex]2(19) + 2(5) = 48[/tex]
[tex]38 + 10 = 48[/tex]
[tex]48 = 48[/tex]
The results match, so our answer is correct.
The rectangle is 5 inches long by 19 inches wide.
What is the area of this figure?
Answer:
58m^2
Step-by-step explanation:
2x9 = 18
8x5 = 40
18+40 = 58
Complete this table. FRACTION DECIMAL PERCENT 3. (a) 0.6 (b) (99) 4. (a) (b) 5% (99)
Answer:
for number 3 fraction is ⅗ and percentage is 60%
for number 4 the fraction is 1/20 and the decimal is 0.05
Step-by-step explanation:
hope it will help
should I show the working?
The Louvre pyramid in Paris is built of glass panes. The top row has 4 glass panes, and each row after it has 4 more panes than the previous row. How many panes of glass are in the 16th row?
Answer:
Number of glass panel in 16th row = 64
Step-by-step explanation:
Given:
Number of glass panel in first row = 4
Each next row added number of glass panel = 4
Find:
Number of glass panel in 16th row
Computation:
An = a + [n-1]d
An = given term = A16
a = first term = 4
n = number of term = 15
d = Common difference = 4
An = a + [n-1]d
An = 4 + [16-1]4
An = 4 + [15]4
An = 4 + 60
An = 64
Number of glass panel in 16th row = 64
Ernesto is deep-sea diving with two friends. Alexandra is floating on the surface 6 meters
above Emesto, and Krysta is exploring a coral reef 7 meters in front of Ernesto. How far apart
are Alexandra and Krysta? If necessary, round to the nearest tenth.
Answer:
Use the Pythagorean theorem. The answer should be 3.61.
Step-by-step explanation:
PLZ HELP MEE!!!
NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!
Answer:
[tex]90 in^{2}[/tex]
Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
--------
hope it helps..
have a great day!!
Answer:
Step-by-step explanation:
lateral area = 1.5*12*5 =90
For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.
first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent
second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular
9514 1404 393
Answer:
can be congruent or not congruentmust be perpendicularStep-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.
Your blanks can be filled with ...
can be congruent or not congruentmust be perpendicularWe would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).
Write an equation for the sum of x and 3 minus 2 is 12
Answer:
x + (3-2) = 12
Step-by-step explanation:
x + (3-2) = 12
or x + 1 = 12
so x = 11
is 3 a factor of twelve? write yes or no and give a reason for your answer
Answer:
YesStep-by-step explanation:
[tex] \frac{12}{3} = 4 \\ 3 \times 4 = 12[/tex]
Twelve can be used to divide 3 without having a remainder.
Answer:
yes
Step-by-step explanation:
The factor of 12 are:
1, 2, 3, 6, 12
lord help me pleaseeeee
Answer:
B
Step-by-step explanation:
i just think it is because you would not survey anyone that was not in the science class