It is one of the general forms to write an odd Integer..
ATQ,[tex] \rm(2k + 1) + (2k + 3) + (2k + 5) = (2k + 7) + (2k + 9) + 3[/tex]
Using the equation Solve for K and then we will find the integers
[tex] \rm \: (2k + 1) + 2k + 3 + (2k + 5) = 2k + 7 + 2k + 9 + 3[/tex]
[tex] \rm2k + 1 + 2k + 2k + 5 = 2k + 7 + 2k + 9[/tex]
[tex] \rm \: 1 + 2k + 5 = 7 + 9[/tex]
[tex] \rm \: 6 + 2k = 16[/tex]
[tex] \rm \: 2k = 16 - 6[/tex]
[tex] \rm \: 2k = 10[/tex]
[tex] \boxed{ \tt \: k = 5}[/tex]
Now,[tex]\large{|\underline{\mathtt{\red{1 ^{st} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 1 \\ \sf 2 \times 5 + 1 \\ \sf \: 10 + 1 = 11[/tex]
[tex]\large{|\underline{\mathtt{\red{2 ^{nd} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 3 \\ \sf 2 \times 5 + 3\\ \sf \: 10 + 3 = 13[/tex]
[tex]\large{|\underline{\mathtt{\red{3 ^{rd} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 5 \\ \sf 2 \times 5 + 5\\ \sf \: 10 + 5 = 15[/tex]
[tex]\large{|\underline{\mathtt{\red{4^{th} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 7 \\ \sf 2 \times 5 + 7\\ \sf \: 10 + 7= 17[/tex]
[tex]\large{|\underline{\mathtt{\red{5 ^{th} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 9 \\ \sf 2 \times 5 + 9\\ \sf \: 10 + 9= 19[/tex]
➪ Thus, The five consecutive odd integers are 11,13,15,17,19...~
Answer: 11, 13, 15, 17, and 19
Is it 1/10, 10, 7 or 5/72 please help thank you?
how do i convert 0,00023kl to ml
[tex]0.00023[/tex]×[tex]1[/tex]×[tex]10^{6}[/tex]
= 0.00023 x 1×10×10×10×10×10×10
= 0.00023 x 1000000
= 230 mL
Formula: kL x 1000000 = mL
what is 224 split into a 5 over 2 ratio
Answer:
160:64
Step-by-step explanation:
224/7 we divide by 7 because 5 and 2 equals 7
224/7=32
32*5 and 32*2
160 and 64
160:64
Brainliest if correct
2-6 = -4 so 2x-6x would equal -4x
Answer: -4x
Find the common ratio (r) of a geometric progression with first term as -4 and
second term as 6.
Answer:
-2.25
Step-by-step explanation:
PLEASE HELP FAST ILL GIVE BRAINLIEST How much wrapping paper is needed to wrap a cube shaped gift with an edge measuring 15 cm?
0
O A. 1350 cm squared
B. 225 cm squared
O C. 1125 cm squared
Answer:
Its letter B.
#Carryonlearning
Find area of the figure
The area of the figure is the length of one side times the length of one side.
Area is 2 yards * 5/4 yards = 5/2 square yards
Hope that helps!
A student taking a midterm exam in Ancient History comes to two questions pertaining to a class that he missed, and so he decides to take a random guess on both questions. One question is a true and false question and the other is a multiple choice question with five possible answers. Describe how to calculate the probability to the true/false question.
There's only two outcomes (true or false) and one correct answer.
Therefore, the probability is 1/2 = 0.50 = 50%
Or you could say the odds are 50 50, ie there's a 50% chance of getting it right vs a 50% chance of getting it wrong.
Sociology graduates, upon entering the workforce, earn a mean salary of
$25,000 with a standard deviation of $5,000. Assume that the distribution of salaries is Normal.
a) What is the probability that a randomly chosen salary exceeds $35,000?
b) What is the probability that a randomly chosen salary is less than $22,500?
c) What is the probability that a randomly chosen salary lies between
$25,000 and $37,500?
d) Find the 15th percentile of the sociology salaries.
e) Find the two salaries that are the cutoff values for the middle 60% of
salaries.
Using the normal distribution, it is found that:
a) There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.
b) There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.
c) There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.
d) The 15th percentile of the sociology salaries is of $19,825.
e) The salaries are $20,800 and $29,200.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 25000[/tex].The standard deviation is of [tex]\sigma = 5000[/tex].Item a:
The probability is 1 subtracted by the p-value of Z when X = 35000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35000 - 25000}{5000}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
1 - 0.9772 = 0.0228.
There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.
Item b:
The probability is the p-value of Z when X = 22500, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{22500 - 25000}{5000}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085.
There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.
Item c:
This probability is the p-value of Z when X = 37500 subtracted by the p-value of Z when X = 25000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37500 - 25000}{5000}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25000 - 25000}{5000}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
0.9938 - 0.5 = 0.4938
There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.
Item d:
This is X when Z has a p-value of 0.15, so X when Z = -1.035.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.035 = \frac{X - 25000}{5000}[/tex]
[tex]X - 25000 = -1.035(5000)[/tex]
[tex]X = 19825[/tex]
The 15th percentile of the sociology salaries is of $19,825.
Item e:
Due to the symmetry of the normal distribution, it is the 20th percentile and the 80th percentile, that is, X when Z = -0.84 and X when Z = 0.84.
20th percentile:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 25000}{5000}[/tex]
[tex]X - 25000 = -0.84(5000)[/tex]
[tex]X = 20800[/tex]
80th percentile:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 25000}{5000}[/tex]
[tex]X - 25000 = 0.84(5000)[/tex]
[tex]X = 29200[/tex]
The salaries are $20,800 and $29,200.
More can be learned about the normal distribution at https://brainly.com/question/24663213
3 cm 7 cm 4 cm 8 cm area
Answer:
672 square inches
with area, multiply the side(s) by themselves for a single number, or their following numbers for more than 2 numbers.
Example
18in x 18in = 324 square inches4in x 2in x 5in x 9in = 360 square incheshope this helps!
PSG has given vertices:
P - (2, 3)
S - (1, 1)
G - (4, -3)
Reflect the image across the x-axis then reflect the image across the y-axis.
Final location of the image:
Answer:
is p because if you miltiply it
My new laptop was $824.99 plus the 10% tax. What is the total cost of the laptop?
Answer:
Rounding up to the nearest hundredth, 907.49
Step-by-step explanation:
10% of 824.99 is 82.499 so all you have to do is 824.99 + 82.499 which will get you 907.48900 and rounding to the nearest hundreth will get you 907.49
Step-by-step explanation:
10% of 824.99 = 82.499
then 824.99 +82.499= 907.489
rounded off = 907.49
A certain animal's skeleton consists of 162 bones. The face has 13 bones. What percent of the animal's bones are found in the face?
Answer:
I got .08 when solving this, I may have made a mistake and if so I am truly sorry!
can someone answer this for me please
Answer:
36 Seconds
Step-by-step explanation:
3 x 12 equals 36
4 x 9 equals 36
what we do is find a least common multiple for both the numbers
hope this helps, if it does, can i have brainliest?
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
B
Step-by-step explanation:
5÷7 = 0.7142857142857
I will give the BRAINEST
The length of a hypotenuse of a 30° -60° - 90° triangle is 17 yards. What is the length of the
other two sides?
A. 8.5 yds: 8.5 yds
B. 8.5 yds: 8.5/3yds
C. 8.5y3yds: 8.5VZ yds
D. 1773 yds: 8.5 yds
Step-by-step explanation:
answer is B which is 8•5 yds and 8•5√3 yds
In circle C, mDE = 84°. Find each measure.
1. measure of angle EFD
Reason:
Use the inscribed angle theorem. Central angle DCE subtends the arc DE, so angle DCE = 84 degrees. Inscribed angle EFD is also subtending this same arc (DE), meaning we cut the arc/central angle measure in half to get 84/2 = 42.
Jack's pancake recipe calls for 2 teaspoons baking powder and 3 cups of flour.
How much baking powder is needed if Jack uses 9 cups of flour?
Answer:
6 teaspoons of baking powder
Taylor needs to put 8 hats in each box.
She has 64 hats. Which equation can
help you find how many boxes Taylor
can fill?
Hi,
64 ÷ 8 = x
X= the number of boxes
Hope I could help~ have a good day/night :]
What is 152 divided by 5
Answer:
30.4
Step-by-step explanation:
125/5 = 30.4
hope i could help
=30.4
Step-by-step explanation:
152/5
=30.4
Hope that helped
maybe a little more point will make you help me
i put 100 but you may not get that much
am i correct
also, i would give you but that is all it will let me give
Answer:
SA = 76 yd²
Step-by-step explanation:
Use the formula given:
SA = 2(4)(2) + 2(4)(5) + 2(2)(5)SA = 16 + 40 + 20SA = 76The units are yards²
SA = 76yd²
-Chetan K
The surface area of the rectangular prism is 76 square yards
The dimensions of the rectangular prism are given as:
Length (l) = 4 yards
Width (w) = 2 yards
Height (h) = 5 yards
The surface area (SA) is calculated as:
SA =2lw + 2lh + 2wh
So, we have:
SA = 2 * 4 * 2 + 2 * 4 * 5 + 2 * 2 * 5
Evaluate the expression
SA = 76
Hence, the surface area of the rectangular prism is 76 square yards
Read more about surface area at:
https://brainly.com/question/6613758
HELP PLEASEEEEE!!!!!
Brian drank 2 glasses of water and a half glass of orange juice. What percentage of
beverage consumption was from the orange juice?
15 is your percentage to the answer
The bakery’s expenses and receipts will both total $_____ after ___ hours
PLEASE HELP ♡
Expenses and receipts will total $2800 after 200 hours.
==============================================================
Explanation:
x = number of hours
Ron spends $11 an hour for operating costs. He spends 11x dollars on top of the $600 he spent on the equipment. The cost expression is 11x+600
On the flip side, Ron earns (on average) $14 an hour from the receipts or revenue. Overall, he earns 14x dollars.
Often in business applications, the owner is curious when s/he will break even. This is the point where the profit is 0 dollars, ie when cost = revenue.
So we'll set the two expressions equal to one another and solve for x.
cost = revenue
11x+600 = 14x
600 = 14x-11x
600 = 3x
600/3 = x
200 = x
x = 200
At the 200 hour mark is when Ron is likely to break even.
This x value leads to:
cost = 11x+600 = 11*200+600 = 2200+600 = 2800 dollarsrevenue = 14x = 14*200 = 2800 dollarsWe get the same cost for each expression, helping to confirm that x = 200 is correct.
The bakery's expenses and receipts will total $2800 after 200 hours.
What is the slope of line A?
A. -4
B. 4
C. -1/4
D. 1/4
Answer:
the answer is d have a great day
Answer:
-1/4
Step-by-step explanation:
Slope formula using two points: y2-y1/x2-x1.
0-1/4-0
-1/4
Can somebody help me pls 3/10 +16/100 = 19/100 ??? Is it correct
Answer:
yes it is correct 3/10+16/100=19/100
In a card game, Joseph has 2 more than 4 times as many cards as Zachary has. Zachary has z cards. Which expression can be used to find the number of cards Joseph has?
Answer:
Joseph's cards = 4z + 2
Step-by-step explanation:
4 times as many = 4 times z or 4z
2 more= 4z + 2
Answer:
2x4=6 6x2= 12
Step-by-step explanation:
he number of eggs in the refrigerator e decreased by 7 equals 19.
The quotient of a number y and 2.
A. 2/y
B. 2(y)
C. 2 + y
D. y/2
Answer:
The answer to your problem is B.
can someone please help!!! Urgent!!