Answer:
84
Step-by-step explanation:
(x/4) + 3 = 24
so in this case try and make x the subject or in other words try to leave x on one side of the equation.
(x/4) = 24 - 3
(x/4) = 21
now multiply 21 by 4 using cross multiplication
so x= 84
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answer:
-11,11
Step-by-step explanation:
JUst add 5 to both.
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
im guessing 35mph
Step-by-step explanation:
Answer:
30 mph and 40 mph
Step-by-step explanation:
It is the same with the speed and water.
Which of the following have a value equal to |37|? Select all that apply.
A. –37
B. |–37|
C. 0
D. –(–37)
E. 37
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6 grams. If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams?
Answer:
If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Step-by-step explanation:
Mean = [tex]\mu = 464[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02
The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.
n = 27
Refer the z -table
P(Z>x)=2.06
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37[/tex]
So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]
Answer:
its d
Step-by-step explanation:
thank the guy up top
Using quadratic formula, the possible values of x lies in [0, 5.728].
What is a quadratic formula?The quadratic formula is a formula that provides the solution to a quadratic equation.
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]
The equation in the given question is-
[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]
But, x cannot be negative so x lies in [0, 5.728].
Learn more about quadratic formula here
https://brainly.com/question/2615966
#SPJ2
A furniture factory makes 250 tables each day. Create an equation that can be used to find the total number of tables made, y, after x days.
Answer:
The equation would be y=250x
Step-by-step explanation:
They are making 250 tables a day (x)
we put the x next to the 250 because that number will change everyday.
y would equal our total
You measure the period of a mass oscillating on a vertical spring ten times as follows:
Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55
Required:
What are the mean and (sample) standard deviation?
a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135
Answer:
Step-by-step explanation:
Mean is the ratio of sum of the dataset to the sample size. Mathematically:
[tex]\overline x = \frac{\sum Xi}{N}[/tex]
Xi are the individual periods
N is the sample size
[tex]\sum Xi = 1.06+1.31+1.28+0.99+1.48+1.37+0.98+1.31+1.59+1.55\\\sum Xi = 12.92[/tex]
N = 10
Substitute
[tex]\overline x = \frac{12.92}{10}\\\overline x = 1.292[/tex]
hence the mean of the samples is 1.292
For the standard deviation:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{N} } \\[/tex]
[tex]\sum (x-\overline x)^2 = (1.06-1.292)^2+ (1.31-1.292)^2+ (1.28-1.292)^2+ (10.99-1.292)^2+ (1.48-1.292)^2+ (1.37-1.292)^2+ (0.98-1.292)^2+ (1.31-1.292)^2+ (1.59-1.292)^2+ (1.55-1.292)^2\\\sum (x-\overline x)^2 = 0.43996[/tex]
Substitute into the formula:
[tex]\sigma = \sqrt{\frac{0.43996}{10} }} \\\sigma = \sqrt{{0.043996}}} \\\sigma = 0.2098[/tex]
Hence the standard deviation is 0.2098
I want the answer of this question
Answer:
42sq . units
Step-by-step explanation:
To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).
Multiply the length and width together to get the area .
Answer: 42 sq. Units
Step-by-step explanation: i got it right.
Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Answer:
The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
Step-by-step explanation:
Let X represent the LDL levels.
It is provided that [tex]X\sim N(123, 41^{2})[/tex].
Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:
[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]
[tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
PLEASE HELP MATH!!!1
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answer:
I need these answers and the ones he put in in the comments are all wrong
discrimination from teachers to students
Answer:
agree
Step-by-step explanation:
I need to find what the square root is to 19,478,730. my teacher literally put that. help
Answer: 4413.5
Step-by-step explanation:
4413.47142 if you need to be exact
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5
Answer:
a
Step-by-step explanation:
because there are over half girls and half of 120 is 60 and 75 is over half
Jordan says that 6 ÷ 1/2 =3. Is he correct
Answer:
No it is 12
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
6 ÷ 1/2 = 12
(1/2 = 0.5)
6 ÷ 0.5 = 12
Check you answer.
0.5 x 12 = 6
So Jordan is incorrect.
The correct answer is 12
Hope this helped :)
Please consider Brainliest :)
Please help please
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
try 77
Step-by-step explanation:
Pls help
8th grade math
Answer:
per night 50 cost
Step-by-step explanation:
sorry but i goo
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
print 150 copies. How much does it cost the college if a ream, 500 pages, cost
$7.40 each?
Answer:
$222
Step-by-step explanation:
We need to find how many ream was used in the printing forts, to determine how much the College spent.
The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.
No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.
If 500 pages = 1 realm, therefore,
14,850 pages = 14,850/500 = 29.7.
Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.
If 1 ream costs $7.40, therefore,
30 reams = 30*7.40 = $222
The living room of Ann's house is a square with an area of 121 square feet. What is the length of each side of the foyer
Answer:
30.25
Step-by-step explanation:
121 divided by 4 is 30.25
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.
Answer:
Vertices A B y C
A ( 2 , 3 ) B ( -1 , 1 ) C ( 3, 1 )
Step-by-step explanation:
We have to solve a two-equation system, by pair of equations as follows
equation (1) 2x - 3y + 5 = 0
equation (2) 2x + y -7 = 0
Solving this system we find let´s say vertex A
0x - 4y +12 = 0 y = 3
Then x ?
2x - 3y + 5 = 0
2x - 9 + 5 = 0 ⇒ 2x = 4 x = 2
Then vertex A ( 2 , 3 )
From equation (1) and (3)
2x - 3y + 5 = 0
2x + 5y - 3 = 0
Agan subtracting (1) - (2)
0x -8y + 8 = 0
y = 1 and
2x + 5y = 3
2x + 5 = 3
2x = -2
x = -1
Vertex B ( -1 , 1 )
Finally from equation (2) and (3) we get the third vertex C
2x + y - 7 = 0
2x + 5y - 3 = 0
0x -4y -4 = 0
y = 1
2x + y = 7
2x + 1 = 7
2x = 6
x = 3
C ( 3 , 1 )
Solve: x^2=10
A) x= +5
B) x= +100
C) x= +3.5
D) x= 10 squared
Answer:
D) x=√10
Step-by-step explanation:
√(10)=3.16(approximately )
What is the solution to the following question 2^ -3x+2=0
Answer: x= −16
Step-by-step explanation:
PLEASE HELP!
Equation: 4(x-6)-8=5(x-7)-x
Answer choices:
A. 0
B. All real numbers
C. No solution
D. Non of the above
I chose C but I wanted to get some confirmation. Thanks!
Answer:
0, it has no solution.
Step-by-step explanation:
A train travelled a distance of 1350 kilometers in 15 hours find it,s average speed answer pleaseeeeeeeee fast ,thanks
Answer:
90
Step-by-step explanation:
1350 divided by 15
...................................
Answer:
What? lol
Step-by-step explanation:
Answer:
........................?
Step-by-step explanation:
Is - 60 a solution of 1/12*=5?
Answer:
No -60 is not a solution
Step-by-step explanation:
x = 5/12 = 2.400
-60 is not a solution of 5/12, or 1/12*=5.
Hope I helped.
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
