Answer:
F=-21
Step-by-step explanation:
M a t h w a y
heyheyhey ( I HATE ONLINE SCHOOL STUFF)
Answer:
Same!
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
Need help kinda stuck on this one!
factorize 2x² - 5x+ 2x - 5
Answer:
(x+1)(2x-5)
Step-by-step explanation:
Answer:
(x+1)(2x-5)
Step-by-step explanation:
A town's population is 43,650. About 125 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 45,675. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question. Which equation mode +
Answer:
After 7 months population will be same.
(43425 + 75x) = (45000 - 150x)
Step-by-step explanation:
Population of a town = 43425.
Number of people moving out of the town = 125 per month
Number of people moving in = 200 per month
On an average number of people increasing every month = 200 - 125
= 75
Population of the nearby town = 45000
Number of people moving in = 0 per month
Number of people moving out = 150 per month
Let after x months number of population will be same.
So the equation will be (43425 + 75x) = (45000 - 150x)
1). By solving this equation we can get the number months when the population of both the towns will be same.
43425 + 75x = 45000 - 150x
43425 + 75x + 150x = 45000
75x + 150x = 45000 - 43425
225x = 1575
x = 1575/225
x = 7 months
16 Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)
Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above and
below the mean with computed values.
Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, Standard
Deviation = 1.1 kg.
(a) 68% of the data is between which 2 values? 8.4 oro kg -- 10.0 kg
(b) 95% of the data is between which 2 values? 7.3 kg - 11. oo kg
(c) What percentage of the data is less than 8.4 kg?
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
(w) What percentage of the data is more than 12.8 kg?
Answer:
a)8.4kg to 10.6kg
b)7.3 kg to 11.7kg
c)16%
d) 95%
e) 0.15%
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question,
Mean(μ) = 9.5 kg,
Standard Deviation (σ) = 1.1 kg.
a) 68% of the data is between which 2 values?
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
μ - σ
= 9.5kg - 1.1kg
= 8.4kg
μ + σ
= 9.5kg + 1.1kg
= 10.6kg
Therefore, 68% of the data is between 8.4kg to 10.6kg
(b) 95% of the data is between which 2 values?
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
μ - 2σ
9.5kg - 2(1.1)kg
9.5kg - 2.2 kg
= 7.3kg
μ + 2σ
9.5kg + 2(1.1)kg
9.5kg + 2.2 kg
= 11.7kg
Therefore, 95% of the data is between 7.3 kg to 11.7kg
(c) What percentage of the data is less than 8.4 kg?
We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under
μ - xσ = 8.4kg
= 9.5kg - 1.1x = 8.4kg
9.5 - 8.4 = 1.1x
1.1 = 1.1x
x = 1.1/1.1
x = 1
Hence, the percentage it falls under according to Empirical rule = 68%
The percentage of the data that is less than 8.4 kg is calculated as:
100 - 68/2 = 32/2 = 16%
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
We have to find the Standard deviation that they fall under
For 7.3 kg
μ - xσ = 7.3kg
= 9.5kg - 1.1x = 7.3kg
9.5 - 7.3 = 1.1x
2.2 = 1.1x
x = 2.2/1.1
x = 2
μ + xσ = 11.7kg
= 9.5kg + 1.1x = 11.7kg
11.7 - 9.5 = 1.1x
2.2 = 1.1x
x = 2.2/1.1
x = 2
Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%
(e) What percentage of the data is more than 12.8 kg?
μ + xσ = 12.8kg
9.5kg + 1.1x = 12.8kg
= 12.8- 9.5 = 1.1x
3.3 = 1.1x
3.3 = 1.1x
x = 3.3/1.1
x = 3
Hence, the percentage it falls under according to Empirical rule = 99.7%
The percentage of the data that is more than 12.8kg is calculated as:
100 - 99.7/2 = 0.3/2 = 0.15%
Need help asapppppp!!!!
Answer:
..
Step-by-step explanation:
You can easly calculate this.. then compare..
Example :
1/5 = 0.2
1/4 = 0.25
Then 1/4 > 1/5
A man walks for x hours at a speed of
(x + 1) km/h and cycles for (x - 1) hours at
a speed of (2x + 5) km/h. If the total distance
travelled is 90 km, x
Given:
A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.
Total distance travelled is 90 km.
To find:
The value of x.
Solution:
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed\times Time=Distance[/tex]
A man walks for x hours at a speed of (x + 1) km/h, so walking distance is
[tex]D_1=(x+1)(x)[/tex] km
The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is
[tex]D_2=(2x+5)(x-1)[/tex] km
Now,
Total distance = 90 km
[tex]D_1+D_2=90[/tex]
[tex](x+1)x+(2x+5)(x-1)=90[/tex]
[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]
[tex]3x^2+4x-95=0[/tex]
[tex]3x^2+19x-15x-95=0[/tex]
[tex]x(3x+19)-5(3x+19)=0[/tex]
[tex](3x+19)(x-5)=0[/tex]
[tex]3x+19=0\text{ and }x-5=0[/tex]
[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]
Time cannot be negative. So, the only possible value of x is 5.
HELP DUE IN 15 MIN
x =
Answer:
x=7
Step-by-step explanation:
write -2+16x+9x+7=180
then add all like terms (-2+7=5) and (16x+9x=25x)
5+25x=180
-5. -5
25x=175
/25. /25
x=7
Answer:
180=-2+16x+9x+7
180=25x+5
-5. -5
175=25x
175/25=25x/25
7= x
Step-by-step explanation:
John decided to look at new and used cars. John found a used car for $6000. A new car is $18000, so what percent of the price of a new car does John pay for a used car? Round your answer to the nearest tenth if necessary.
Answer:
The answer is 3%.
Step-by-step explanation:
6,000 x 3 = 18,000.
18,000 / 6,000 = 3.
There are 30 total apples of red and 6 total apples of yellow what is the percentage of yellow apples of
Answer:
20%
Step-by-step explanation:
30:6=5
yellow apples - 1/5 of 30
20x5=100
20%/30=6
Please help me! Only answer if you know it and I’ll mark you brainiest
Answer:
BD = 13x +27Step-by-step explanation:
according to the rectangle theory
the diagonals of a rectangle bisect each other.thus,
AC = BDwe can write AC as AE+ CE
11x -18 + 2x+45 = BD
13x + 27 = BDhope it helps:)
answer correctly for brainliest +10 points!
I only need the answer for NUMBER 6!!! PLEASEE HELP , ILL GIVE BRAINLIEST FOR THE RIGHT answer :) , just help me.
Answer:
285
Step-by-step explanation:
The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 less than the desk. Find the cost of each item.
help please will give brainiest
Answer:
the first one
Step-by-step explanation:
If school starts at 8:30 a.m. and ends at 3:20 p.m., how long is the school day?
6 hours and 10 minutes
11 hours and 50 minutes
5 hours and 10 minutes
6 hours and 50 minutes
Answer:
50 min 5 hours
Step-by-step explanation:
Answer: 6 hours and 50mins
Step-by-step explanation:
Nixon estimates it will take him 5 hours to finish an art project.It actually takes him 320% of the time estimated.How many hours did it take him to finish the project?
Answer:
16hours
Step-by-step explanation:
Amount of hours Nixon took = 5hours
If it takes 320 % of his time, then he took him 320% of 5hrs to finish
This is express as shown
320% of 5
= 320/100 ×5
= 320/20
= 16
Hence it took him 16 hours
Answer:
Step-by-step explanation:
320/100 = 3.2
3.2 x 5
=16
Find the remainder using: synthetic division/substitution OR long division:
f(x) = 3x3 - 4x2 +5x-7 : (x-2)
0-57
Oo
O 11
O-25
Answer:
The remainder is 11
Step-by-step explanation:
Here, we want to find the remainder by using substitution
We start by equating x-2 to 0
x = 2
Substitute the value of x in the function
3(2)^3 - 4(2)^2 + 5(2) - 7
= 24-16+ 10 - 7 = 11
Can someone please answer this with step please.
Answer:
It is the sedond one
Step-by-step explanation:
7n, 4n because they have the same variable, n.
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9
Answer:
6
Step-by-step explanation:
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9
36 is divisable by 9, so Δ has to be 6.
The value of the number which will make it divisible by 9 will be 6.
Based on the information given, we've to find a number that will give a value without a remainder.
Therefore, if we use 6, the number will be 678564. Then, we can divide by 9 and it'll be.
= 678564/9
= 75396
Therefore, the number is 6.
Learn more about division on:
https://brainly.com/question/4320580
2a^2 + 11a + 15 = 0 factorise
Answer:
The answer is (2a + 5)(a + 3).
Step-by-step explanation:
The steps are :
2a² + 11a + 15 = 0
2a² + 6a + 5a + 15 = 0
2a(a + 3) + 5(a + 3) = 0
(2a + 5)(a + 3) = 0
Find the total surface area of this triangular prism.
17 cm
8 cm
2 cm
15 cm
Answer:
200cm²
Step-by-step explanation:
Total surface area of the prism = bh + L(s1+s2+s3)
b is the base of the triangle = 15cm
h is the height of the triangle = 8cm
Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15
Perimeter of the triangular base = 40cm
L is the lateral height = 2cm
Substitute the given values into the formula;
Total surface area of the prism = 15(8) + 2(40)
Total surface area of the prism = 120+80
Total surface area of the prism = 200cm²
Hence the total surface area of the prism is 200cm²
plz help will give brainlyest
top one : frame A.
bottom one : 6 inches
Answer:
Give brainliest to the other person who answered
Step-by-step explanation:
Have a fantastic day!
please help!
Is (2, 10) a solution of y > 4x + 1?
Yes, (2, 10) is a solution of y > 4x + 1.
No, (2, 10) is not a solution of y > 4x + 1.
Answer:
yes is the answer took the test yesterday
Step-by-step explanation:
A train is travelling with a velocity of 15m/s.
It then accelerates at 0.5 m/s2 for 6 seconds.
Use the formula v=u+ at to calculate the velocity of the train after the 6 seconds.
Given that,
Initial speed, u = 15 m/s
Acceleration, a = 0.5 m/s²
Time, t = 6 s
To find,
Velocity after 6 seconds.
Solution,
Let v is the velocity of the train.
Using equation : v = u +at
Put all the values,
v = 15 +0.5(6)
= 15 + 3
= 18 m/s
So, its final velocity is 18 m/s.
Help please!
The numbers are 152° and 28°
Answer:
62
Step-by-step explanation:
152-90= 62
please help me with number 8. part A and B. it’s a test
Answer:
Dude divide the amount of money small loaves cost by $97 and then do the same but with the amount of money the loaves cost
50 points please help
Answer:
What are in the boxes?
Step-by-step explanation:
Can you show the text in the choose box please?
Kyle can write a 300-word essay in an hour. At that rate, if he writes an essay in 10 minutes, how many words will it contain?
Answer: 50 Words
Step-by-step explanation: We know Kyle can write a 300-word essay in an hour or 1 hour. We want to know how many words Kyle would have in his essay if he wrote one in 10 minutes.
First, find how many words Kyle can write per minute. Simply do this by dividing 300 by 60, since there are 60 minutes in a hour.
300/60 = 5. So, Kyle can write 5 words per minute.
Now, simply multiply 5 by 10 to find how many words Kyle would write in 10 minutes.
5 x 10 = 50. So, Kyle can write 50 words in his essay if he writes for 10 minutes.
Jane and Chris sell candles to earn money. Jane spent $20 to create her candles and sells candles for $3 each. Chris spent $40 to create his candles and sells candles for $5 each. How many candles will Jane and Chris have to sell in order to earn the same profit?
Answer:
10 candlesStep-by-step explanation:
Jane's caldles:
Cost = $20, Price = $3 per candleChris's candles:
Cost = $40, Price = $5 per candleProfit, if equal per x candles is:
3x - 20 = 5x - 405x - 3x = 40 - 202x = 20x = 10Each will have profit of $10 if 10 candles sell