========================================================
Work Shown:
s = sum of the heights of buildings A,B,C
s/3 = mean of the heights of buildings A,B,C
s/3 = 14.2
s = 3*14.2
s = 42.6
The buildings A,B,C have their heights add up to 42.6
--------------
r = sum of the heights of buildings A,B,C,D,E
r/5 = mean of the heights of buildings A,B,C,D,E
r/5 = 14.8
r = 5*14.8
r = 74
--------------
r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)
r-s = sum of the heights of buildings D and E
r-s = 74-42.6
r-s = 31.4
(r-s)/2 = mean height of buildings D and E
(r-s)/2 = 31.4/2
(r-s)/2 = 15.7 meters is the average height of buildings D and E.
8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
Answer:
n = 19.6
Step-by-step explanation:
Given the expression;
1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)
Open the bracket
1.6 + 0.8n - 3.2 = 1.1n - 7.48
Collect the like terms
0.8n - 1.1n = -7.48 + 3.2 - 1.6
-0.3n = -5.88
n = -5.88/-0.3
n = 19.6
Hence the value of n is 19.6
Which expression is equivalent to w4−25w2+144
?
(w2+9)(w2−16)
(w−3)(w+4)(w−3)(w−4)
(w−3)(w+3)(w2−16)
(w2−9)(w2+16)
5/6 divided by 1/2 simplest from
Answer:
5/3
Step-by-step explanation:
(5/6)÷(1/2)
= (5/6) x 2
= 10/6 = 5/3
Hope this helps!
Answer:
the correct answer is 5/3
I'm 100000000000% sure
You depost $572.34 into an account that pays 4.5% interest. How much interest do you earn after 5 years? (Use the formula I=rpt)
A. $128.78
B. $25.76
C. $12,877.65
I really need help!
a fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange.
Answer:
Each fruit cost $2.65 each
Step-by-step explanation:
530 divided by 2 equals 265
Then move the decimal two places left and you get...
2.65
Brainliest? I'm trying to level up!
</3 PureBeauty
fine the slope of the table below
In 2010, the population of Alabama was about 4.8 million. This is an increase of about 7.5% over the population of Alabama in 2000. If this trend continues, predict the population of Alabama in 2030 and 2040.
Answer:
alabama is 7.85 million
Step-by-step explanation:
There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?
Answer: 60$
Step-by-step explanation:
because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60
Do this worksheets if someone do I will make him or her brainly if correct.
Answer:
[tex]1) \frac{37.5}{100} [/tex]
[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]
[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]
[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]
[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]
At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?
0.75 pizza
Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.
Answer:
0.666667
Step-by-step explanation:
8 pizzas ÷ 12 people = 0.66667 pizzas for each.
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean µ = 43 and standard deviation σ = 15. Find the following probabilities. (Round your answers to four decimal places.)
a. x is less than 60
b. x is greater than 16
c. x is between 16 and 60
d. x is more than 60
Answer:
a) 0.8708 = 87.08% probability that x is less than 60
b) 0.9641 = 96.41% probability that x is greater than 16.
c) 0.8349 = 83.49% probability that x is between 16 and 60
d) 0.1292 = 12.92% probability that x is more than 60.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 43, \sigma = 15[/tex]
a. x is less than 60
This is the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 43}{15}[/tex]
[tex]Z = 1.13[/tex]
[tex]Z = 1.13[/tex] has a pvalue of 0.8708
0.8708 = 87.08% probability that x is less than 60
b. x is greater than 16
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 43}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a pvalue of 0.0359
1 - 0.0359 = 0.9641
0.9641 = 96.41% probability that x is greater than 16.
c. x is between 16 and 60
This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:
0.8708 - 0.0359 = 0.8349
0.8349 = 83.49% probability that x is between 16 and 60
d. x is more than 60
This is 1 subtracted by the pvalue of Z when X = 60.
So
1 - 0.8708 = 0.1292
0.1292 = 12.92% probability that x is more than 60.
The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company?
Answer:
Step-by-step explanation:
4:7::4x:7x
4x+7x=231
11x=231
x=231/11=21
women=7x=7×21=147
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week, the owner spent 36 hours of his workweek on supervising, sales and accounting tasks. How many hours did he work that week? Group of answer choices
Answer: He worked 40 hours that week.
Step-by-step explanation:
Given : The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week.
Let x = Number of hours he work in a week.
then, Hours for supervising, sales and accounting tasks = 90% of x
As per given ,
[tex]90\%\ of \ x= 36\\\\\Rightarrow\ 0.90x=36\\\\\Rightarrow\ x=\dfrac{36}{0.9}=\dfrac{360}{9}\\\\\Rightarrow\ x=40[/tex]
Hence, he worked 40 hours that week.
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only has $28 to spend. How many of each type of lunch can she order?
Answer:
She would be able to buy
4 Chicken Salads &
2 Egg Salads
Step-by-step explanation:
4x5=20
leaving 8 dollars
2x4=8
Answer: she will spend 3 orders of chicken salad, and 3 orders of egg salad the total it will be $27.
Step-by-step explanation:
It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?
Answer:
$25.50
Step-by-step explanation:
Answer:
(40)(15/100)=6
(40)(25/100)=10
10+6=16
orginal price at 40
After discounts 16
40-16=24
so you can buy it in 24$
Hope it helped you
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Which of the following are point-slope equations of the line going through
(-2,-2) and (2, 1)? Check all that apply.
A. y+2 =3/4 (x+2)
B. y-2 =-3/4 (x-1)
C. y-2 = 3/4(x-2)
D. y+2 = -3/4(x + 2)
E. y-1 =-3/4 (x - 2)
F. y-1 =3/4 (x-2)
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
An expression is evaluated as shown below.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Answer:
Step 2: 11 × 2 - 7
Step-by-step explanation:
unzsun sun dn I'd i
9-5(x+4)=3(2-x) plz help im so bad at math
9 × x = 9x
-5 × x = -5x
9 × 4 = 36
-5 × 4 = -20
3 × 2 = 6
3 × -x = -3x
9x - 5x + 36 - 20 = 6 - 3x
4x + 16 = 6 - 3x
4x - 3x = - 16 + 6
x = - 10
: )
help asap:)! i will give brainliest
2/3 is the correct answer
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
The triangle on the right is bigger than the triangle on the left.
I am joyous to assist you at any time.
Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.
Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
if you have 1.234545 davidi by 50=
Answer:
The answer is 0.02469090
Step-by-step explanation:
1.234545÷50=0.02469090
Hope this helps you.
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 40; σ = 16
P(50 ≤ x ≤ 70) =______.
Answer:
0.2356
Step-by-step explanation:
Given that:
μ = 40; σ = 16
P(50 ≤ x ≤ 70) :
Using the Zscore formula :
(x - μ) / σ
P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)
P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)
Using the Z probability calculator :
P(Z ≤ 1.875) - P(Z ≤ 0.625) -
0.9696 - 0.73401
= 0.23559
= 0.2356
please help, thanks :)
Answer:
It's C :)
Step-by-step explanation:
Next time check the y-intercept
Green has a intercept of 1
and purple has -3
If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.
Answer:
20ft
Step-by-step explanation:
20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft
Hope this helped :)
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
8x-6y=36
solve the linear equation
Answer:
The below is the answer to the equation. 4.5, 0
Step-by-step explanation:
If Log 20 = 1.301 what is the value of Logsub100 20?
I need the step by steps! I can’t find anything videos online to teach this to me
Answer:
[tex]log_{100}20 = 0.6505[/tex]
Step-by-step explanation:
log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)
This basically means:
[tex]10^{1.301} = 20[/tex] (This is the log in exponential form)
Since we don't know what [tex]log_{100}20[/tex] is equal to, we will say [tex]log_{100}20[/tex] = x
So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)
[tex]100^{x} =20[/tex]
Now you will notice that both of these equations are equal to 20.
Since 20 = 20,
we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]
Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)
Now we get [tex]10^{2x} = 10^{1.301}[/tex]
(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)
Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:
2x = 1.301
x = 0.6505
