==================================================
Explanation:
mu = 65 = population meansigma = 4 = population standard deviationLet's convert x = 53 to its corresponding z score
z = (x-mu)/sigma
z = (53-65)/4
z = -12/4
z = -3
This indicates we're 3 standard deviations below the mean.
Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.
(0.3%)/2 = 0.15%
This then converts to 0.0015 when we move the decimal point 2 spots to the left.
Solve for x, y and z ( help ♡ )
Ans of your question . in which class do u read?
Can anyone help me with this?
Answer:
x = 42 degrees
y = 37 degrees
Step-by-step explanation:
Those are right angle triangles. So you know the right angles are 90 degrees, and each triangle gives you the measurement of another angle.
So, take the triangle in the top left (x):
180 - 90 - 48 = x
Same with the other triangle (y)
180 - 90 - 53 = y
so I'm not sure how to draw a square with the area of 3 units
HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+43 POINTS
-solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
(pls have your answer as a fraction in its simplest form)
Thanks xx)
[tex]\displaystyle \frac{1}{x} +\frac{1}{3x} =4 \ \ ; \ \ x\neq 0 \\\\\\ \frac{3+1}{3x} =4 \\\\\\12x=4 \\\\ \boxed{x=\frac{1}{3} }[/tex]
8th grade math!!! Help ILL BRAINLIST
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
no pic ANSWER IT
Answer:
12?
Step-by-step explanation:
Answer:The Answer is 10!!!
Step-by-step explanation:
If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.
you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.
You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100. Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
Factor Completely. (and please show work)
-10x^2 + 3x + 4
Step-by-step explanation:
=>-10x²+3x+4
=>-10x²-5x+8x+4
=>-5x(2x+1)+4(2x+1)
=>(2x+1)(4-5x)
hope this helps you.
Ski rental is $45 for 3 hours and $10 for each additional hour. You pay $75. How many additional hours did you pay
Answer:3
Step-by-step explanation:Its really easy?
plsss help me with this:(((
Answer:
[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]
Omar wants to open an account for his grandchildren that he hopes will have
$80,000 in it after 20 years. How much must he deposit now into an account
that yields 1.75% interest, compounded monthly, so he can be assured of
reaching his goal?
Using compound interest, it is found that he must deposit $56,389.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
Hopes to have $80,000 in 20 years, thus [tex]t = 20, A(t) = 80000[/tex].Interest rate of 1.75%, thus [tex]r = 0.0175[/tex].Compounding monthly, thus [tex]n = 12[/tex]The investment is of P, for which we have to solve.Then:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]80000 = P(1 + \frac{0.0175}{12})^{12(20)}[/tex]
[tex]P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}[/tex]
[tex]P = 56389[/tex]
He must deposit $56,389.
A similar problem is given at https://brainly.com/question/25263233
Can someone pls help me
Ill give Brainly
NO BOTS OR ILL REPORT YOU
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that
the remaining solution contains 5% juice?
Fill in the table:
What is the amount of juice in the original solution? a =
What is the original amount of solution in gallons? b =
How much juice is added? c =
How much total solution is added? d =
Original
Added
New
Amount of juico
a
Total solution
Answer:
A = 1.5, B = 10, C = 0, D = 20
Step-by-step explanation:
A = 10 * 15% = 1.5
b = 10
c = 0
(10 + x) * 5% = 1.5
0.5 + 0.05x = 1.5
0.05x = 1
x = 20
(assume 'x' is added solution)
d = 20
Answer: A. 1.5 B. 10 C. 0 D. X
On a graph, points form a curved line.
Using the scatterplot, determine the association.
Answer:
Nonlinear association, B
Step-by-step explanation:
Answer:
strong
Step-by-step explanation:
Please help me out!!!!!
Answer:
D. 9
Step-by-step explanation:
9 is the degree of polynomial
Someobe pleaseeee help I need it
Answer:
its 35
Step-by-step explanation:
pls help me i don’t get this at all
Step-by-step explanation:
oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?
it is simple, the first number is the x value, and the second number is the y value.
so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.
if yes, then that pair is a solution.
(6, -33)
-33 >= -8×6 +7
-33 >= -48 + 7
-33 >= -41 true, -33 is indeed bigger than -41
in the same way as -1 is bigger than -2.
(-1, 12)
12 >= -8×-1 + 7
12 >= 8 + 7
12 >= 15 false
(8, -65)
-65 >= -8×8 + 7
-65 >= -64 + 7
-65 >= -57 false
(2, -1)
-1 >= -8×2 + 7
-1 >= -16 + 7
-1 >= -9 true, -1 is bigger than -9
(-6, 47)
47 >= -8×-6 + 7
47 >= 48 + 7
47 >= 55 false
Can someone explain this to me
Angle ADB is a right angle --- Given
Angle ADB is 90 degrees --- Definition of a Right Angle
Angle CDB is 90 degrees --- Definition of Supplementary Angles
Angle ADB = Angle CDB --- Definition of Congruent Angles
Proofs can be tricky! What helps me is thinking through them step by step and how I would prove I did something. While I'm not entirely sure what options you have for this proof, I've given my best guess.
Hope this helps!! :)
willie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 4 student tickets for a total of $194. The school took in $182 on the second day selling 7 adult tickets and 7 student tickets. What is the price each one adult ticket and one student ticket?
Adult tickets - $15
Student tickets - $11
First day:
10 tickets * $15 = $150
4 tickets * $11 = $44
Total: $194
Second day:
7 tickets * $15 = $105
7 tickets * $11 = $77
Total: $182
75.3325 round to the tenth
help plz i will give brainliest
Answer:
12
(If needed explanation ask in the comments! ty)
Hope This Helps! •v•
what would be the answer to this problem [tex]\frac{7x-3}{9} \geq 8-2x[/tex]
Answer:
[tex]x\geq 3[/tex]
Step-by-step explanation:
helppppppppppppppppppppppppppppppppp
Answer:
You want to find how much it cost for 1kg of potatoes, which in this case is .45 cents. After that you want to multiply the price of 1kg by 50, to get your cost for 50 kg of potatoes, which would be $22.50 I hope this helps! :)
Answer:
$22.50
Step-by-step explanation:
If one. again is 10k and it costs 4.50, then you would do 4.50 multiplied by 5 because each 10k is 4.50 and thier is 50 in total so 5 bags of 4.50 meaning 4.5x5 which would get you $22.50
if someone writes "/" does it mean Division or a Fraction Line
Find the GCF for the pair of numbers. 9,4
The GCF of numbers is the greatest common factor of the numbers.
The numbers are given as: 4 and 9.
Factorize both:
[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]
[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]
The common factor between both is 1.
So, we have:
[tex]\mathbf{GCF = 1 }[/tex]
Hence, the GCF of 4 and 9 is 1
Read more about GCFs at:
https://brainly.com/question/20061154
solve the matrix equation
Answer:
c
Step-by-step explanation:
I need help please!!!
Answer:
yes (the given angles are co-interior {130+50=180} )yes( corresponding angles are equal) .....yes (exterior alternate angles are equal)yes ( vertically opposite angles are equal)7) 3x=45( corresponding angles formed on parallel lines)
x=45/3
x=15
8)120=2x+10(corresponding angles formed on parallel lines)
or,120-10=2x
or,110/2=x
or,x=55
PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!
Answer:
done this before
Step-by-step explanation:
cant see full picture but of what i know of is he spent 35 dollars on apples for his shop...?
Answer: 3x+5y=$33
X+y=9
Step-by-step explanation: X= number of pounds of apples y= number of ponds of oranges.
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment-grade bonds at 8%, how much should she invest in each?
Answer:
$50,000 at 8%; $150,000 at 6%
Step-by-step explanation:
$50,000 x .08 = $4000
$150,000 x .06 = $9000
$4000 + $9000 = $13,000
Help!!!!!!!!!!!!!!!!!!!
Answer:
Slope of a line perpendicular to y=4x+3 is −14 .
Step-by-step explanation:
...............
If you need the graph here it is