Answer:
1, 2, 6
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]
Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts
1) For x < 90:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2[/tex]
From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%
Option 1 is correct
2) For x > 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%
Option 2 is correct
3) For x > 190:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3[/tex]
From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%
Option 3 is incorrect
4) For x < 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
For x > 100:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5[/tex]
From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%
Option 4 is incorrect
5) For x = 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
Option 5 is incorrect
6) For x = 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5[/tex]
Since 1.5 is between 1 and 2, option 6 is correct
Pls help 28 pts and brainliest
Answer:
43 units^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
The bottom rectangle is 3 by 11 for an area of 33
The top rectangle is 2 by 5 for an area of 10
Add the areas together
33+10 = 43
Anybody know the answer ?
Answer:
The final speed after collision of the first ball that weighs 4 kg will be 8.5 m/s.
Step-by-step explanation:
M1 = 4
M2 = 2
V1 = 8
V2 = 6
V2f = 5
V1f = ?
Rep. Situation with Momentum formula:
M1*V1+M2*V2 = M1*V1f+M2*V2f
Rearrange:
((M1*V1+M2*V2)-M2*V2f) / M1 = V1f
Calculate:
((44) - 10) / 4 = V1f
V1f = 8.5
PLEASE ANSWER ASAP!!!
Answer:
False
Step-by-step explanation:
Step-by-step explanation:
YOU ARE CORRECT
[tex] {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} [/tex]
the equation is false
Cedric sends text messages at a constant rate of 5 messages per 1 hour. What equation would be used to represent this situation?
Answer:
...........................I would be I don't know
What is the slope of the line 3x -9y =4?
Answer:
1/3
Step-by-step explanation:
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
Here,
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
[tex] \\ [/tex]
Help please !!!!!!!!’
Step-by-step explanation:
everything can be found in the picture
help asap please, will mark brainliest
Answer:
24 cm
Step-by-step explanation:
Answer:
24cm
Step-by-step explanation:
V= 4/3πr³
or, r³= 3/4π ×V= 3/4π× 18432π= 13824
or, r= (13824)^1/3= 24cm
Find the Value of X in this Triangle
Answer:
x = -6
Step-by-step explanation:
All three angles are equal, so all three sides are equal, making this an equilateral triangle
5x+10 = 2x-8
Subtract 2x from each side
5x-2x +10 = 2x-8-2x
3x+10 = -8
Subtract 10 from each side
3x+10-10 = -8-10
3x = -18
Divide by 3
3x/3 = -18/-3
x = -6
Slope intercept, only need help on number 3. HELP NEEDED ASAP, NO LINKS
Answer:
2) slope=2
y intervept=2
3) slope=1/2
y intercept=-6
4)slope=2
y intercept=4
If y=-0.8 when x=2 find the y when x=3
The private school enrolled 1050 new students last year and the number of students enrolled this year decreased to 798.What was the percentage decrease in the number of students enrolled?
Answer:
Step-by-step explanation:
Decreased students = 1050 - 798 = 252
Decreased percentage = (decreased students ÷ number of last year students) * 100
= [tex]\frac{252}{1050}*100[/tex]
= 24%
Answer:
24%
Step-by-step explanation:
% change = [tex]\frac{difference}{original amount}[/tex] x 100
; 1050 - 798 = 252
% change = [tex]\frac{252}{1050}[/tex] x 100
% change = 0.24 x 100
% change = 24
the percentage decrease in the number of students enrolled is 24%
Factor the expression x^2 +3x-10
Answer:
(x+5)(x-2)
Step-by-step explanation:
x^2 +3x-10
What two numbers multiply to -10 and add to 3
5*-2 = -10
5+-2 = 3
(x+5)(x-2)
pls help pls help pls help pls help
Answer:
The difference is 3 for 4-7, and 39 for 52-91. So basically its a change of 3 for every 4-7 I think this is what you ask for. Let me explain and show results and then pick what you need.
Step-by-step explanation:
So, we know 4 to 7 is 3.
52 to 91 is 39.
So one is a change in 3. the other is a change is 39.
However, could these be the same, just bigger?
Lets divide the 52 to 91 with a change of 39 by 4 to 7 with a change of 3:
52/4 to 91/7 with a change of 39/3 =
13 to 13 with a change of 13.
So this tells us that the 52 to 91 with a chang eof 3 is 13 times bigger than 4 to 7 with a change of 3.
Hope this helps!
Eight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?
Answer:
y=80
Step-by-step explanation:
when solve y-intercept let x=0
y= -16(0)2+64(0)+80
y=0+0+80
y=80
(0;80)
Solve the quadratic equation by using a graphic approach. Round your answer to the hundredths place.
x² - 2x - 4= 0
a. x= 3.24 or x = -1.24
c. x = 4.24 or x = -0.24
b. x = 2.73 or x = -0.73
d. x= 5.24or x = -1.24
Pls explain I’m having a hard time understanding the lesson
Answer:
x = 3.24, x = -1.24
Step-by-step explanation:
The standard form for a quadratic equation is [tex]ax^2+bx+c=0[/tex]. For your equation a = 1, b = -2, c = -4. The quadratic formula you will be using is [tex]x=\frac{-b\pm \sqrt{b^{2} -4ac} }{2a}[/tex].
Plug in a = 1, b = -2, and c = -4 into the formula.
[tex]=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}[/tex]
We'll do the top part first:
[tex]\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-4\right)}[/tex]
Apply rule [tex]- (-a) = a[/tex]
[tex]=\sqrt{\left(-2\right)^2+4\cdot \:1\cdot \:4}[/tex]
Apply exponent rule [tex](-a)^{n} =a^n[/tex] if [tex]n[/tex] is even
[tex](-2)^2=2^2[/tex]
[tex]=\sqrt{2^2+4\cdot \:1\cdot \:4}[/tex]
Multiply the numbers
[tex]=\sqrt{2^2+16}[/tex]
[tex]2^2=4[/tex]
[tex]=\sqrt{4+16}[/tex]
Add
[tex]=\sqrt{20}[/tex]
The prime factorization of 20 is [tex]2^2*5[/tex]
20 divides by 2. 20 = 10 * 2
[tex]=2*10[/tex]
10 divides by 2. 10 = 5 * 2
[tex]=2* \:2*5[/tex]
2 & 5 are prime numbers so you don't need to factor them anymore
[tex]=2*2*5[/tex]
[tex]=2^2*5[/tex]
[tex]=\sqrt{2^2\cdot \:5}[/tex]
Apply radical rule [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]
[tex]=\sqrt{5}\sqrt{2^2}[/tex]
Apply radical rule [tex]\sqrt[n]{a^{n} } =a[/tex]; [tex]\sqrt{2^2} =2[/tex]
[tex]=2\sqrt{5}[/tex]
[tex]=\frac{-\left(-2\right)\pm \:2\sqrt{5}}{2\cdot \:1}[/tex]
Because of the [tex]\pm[/tex] you have to separate the solutions so that one is positive and the other is negative.
[tex]x=\frac{-\left(-2\right)+2\sqrt{5}}{2\cdot \:1},\:x=\frac{-\left(-2\right)-2\sqrt{5}}{2\cdot \:1}[/tex]
Positive x:
[tex]\frac{-\left(-2\right)+2\sqrt{5}}{2\cdot \:1}[/tex]
Apply rule [tex]-(-a)=a[/tex]
[tex]=\frac{2+2\sqrt{5}}{2\cdot \:1}[/tex]
Multiply
[tex]=\frac{2+2\sqrt{5}}{2}[/tex]
Factor [tex]2+2\sqrt{5}[/tex] and rewrite it as [tex]=2\cdot \:1+2\sqrt{5}[/tex]. Factor out 2 because it is the common term. [tex]=2\left(1+\sqrt{5}\right)[/tex].
[tex]=\frac{2\left(1+\sqrt{5}\right)}{2}[/tex]
Divide 2 by 2
[tex]x=1+\sqrt{5}[/tex] or [tex]x=3.24[/tex] (You'll probably have to use a calculator for the square root of 5)
^Repeating the process of positive x for negative x in order to get [tex]x=1-\sqrt{5}[/tex] or [tex]x=-1.24[/tex]
4+2(x–4)=–7(x+7)
....Whats the answer? NEEDED ASAP
Answer:
-5
Step-by-step explanation:
4+2(x-4) = -7(x+7)
First, work out parenthesis: 4+ 2x-8 = -7x -49
Combine like terms: 2x-4= -7x-49
now isolate x by first adding 49 to each side: 2x+45= -7x
Then subtract 2x from each side: 45= -9x
Last, divide both sides by -9:
x= -5
Answer:
The answer is negative five or -5.
Step-by-step explanation:
First, you need to distribute your equation and at the end, the -4 should be just 2x - 8.
Second, subtract the numbers 4 and -8, which will equal to -4.
Third, rearrange your terms. Those terms would be -4 + 2x, so it should be 2x - 4.
Fourth, distribute again but with -7(x + 7) and you should get -7x - 49.
Fifth, add four to both sides of your equation. It should be like 2x - 4 + 4 = -7x - 49 + 4.
Sixth, add the numbers for the both sides. Therefore, you have 2x = -7x - 45.
Seventh, add 7x to both sides of the equation. You add it to 2x and -7x - 45 + 7x.
Eighth, simplify by combining like terms which you get 9x = -45.
Ninth, divide both of the sides of your equation by the same term. Your number to use when diving is 9.
Tenth, simplify but cancel terms that are both the numerator and denominator. Then you divide the numbers and get -5.
Factor this trinomial completely. 2x2 + 6x + 4 O
A. 2(x-2)(x + 1)
B. 2(x + 2)(x+1)
c. 2(x + 2)(x-1)
D. 2(x-2)(x - 1)
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 6x + 4[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]
Taking the factor [tex](x+2)[/tex] as common,
[tex] = 2(x + 2)(x + 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
4. Change 5 hours to minutes.
300 minutes
ОО
30 minutes
3000 minutes
ОО
3 minutes
Answer:
[tex]{ \tt{1 \: hour = 60 \: minutes}} \\ { \tt{5 \: hours = (5 \times 60) \: minutes}} \\ = 300 \: { \bf{minutes}}[/tex]
Learn with an example
A line that includes the point (1, 2) has a slope of 9. What is its equation in slope-intercept
form?
Answer:
y = 9x + (-7) should be the answer
-1/2(-3/2x + 6x + 1) - 3x what is the equivalent expression
Answer:
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the three terms inside parentheses by -(1/2):
(3/4)x - 3x - (1/2) - 3x, or
(3/4)x - 6x - 1/2
The first two terms can be combined, to obtain:
(-5 1/4)x - 1/2, or (-21/4)x - 1/2
what is the standard deviation and variance of 10, 10, 10, 10, 13, 20, 23, 32, 32, 32, 32, 47, 50, 53, 60, 60, 63, 72, 72, 72, 72, 80, 82, 91, 93, 99. show solution
Answer:
bro/sis through this solution u can solve ur values
Step-by-step explanation:
To calculate the variance, you first subtract the mean from each number and then square the results to find the squared differences. You then find the average of those squared differences. The result is the variance. The standard deviation is a measure of how spread out the numbers in a distribution are.
I hope this will help you
factorise fully p^3 + p^2
Answer:
[tex]\huge\boxed{p^3+p^2=p^2(p+1)}[/tex]
Step-by-step explanation:
[tex]p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)[/tex]
Used:
[tex]a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac[/tex]
Plse help my grades go in tomorrow and I am currently struggling!!
C⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Brainliest, 26 points
Jenna picked x amount of oranges. Josh picked twice as many oranges as Jenna, less 3. How many more oranges did Josh pick than Jenna?
3x -3
2x -3
x - 3
3x
Answer:
x - 3
Step-by-step explanation:
Jenna picked x.
Josh picked 2x - 3.
The difference is:
2x - 3 - x
which simplifies to
x - 3
Answer: x - 3
Find the common ratio of the geometric sequence -13, 117, -1053,...
Answer:
-9
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous number:
117/-13
= -9
So, the common ratio is -9.
What are the challenges of similar triangles?
Answer:
There are two types of similar triangle problems; these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Subtract both sides by 130°. Hence; By Angle-Angle (AA) rule, ΔPQR~ΔXYZ.
Step-by-step explanation:
Alex’s paycheck for the last two weeks totaled $239.64. He owes the cell phone company $44.87. How much money does he have left
Answer:
the answer would be 193.77
Step-by-step explanation:
literally, subtract 45.87 from 239.64.
you get 193.77.
(you put 44 instead of 45, so the sum with 44 would be 194, that is incorrect.)
The manufacturer id number for proctor and gamble is (037000) and the item number for a box of bounce fabric softener is (80049). What is the valid upc? A- 0-37000-80049-9 B-0-37000-80049-1 C-1-37000-80049-1 D-1-80049-37000-0
Answer:
A. [tex]UPC = 0-03700-80049-9[/tex]
Step-by-step explanation:
Given
[tex]ID = 037000[/tex]
[tex]Item\ Number = 80049[/tex]
Required
The valid UPC
First, the UPC is represented as:
UPC = ID followed by item number followed by the checksum
So, we have:
[tex]upc = 0-03700-80049-X[/tex]
To calculate X (the checksum)
Add up digits at odd positions
[tex]Odd = (0 + 7 + 0) + (8 + 0 + 9)[/tex]
[tex]Odd = 24\\[/tex]
Multiply by 3
[tex]Product = Odd * 3[/tex]
[tex]Product = 24 * 3[/tex]
[tex]Product = 72[/tex]
Add up digits at even positions
[tex]Even = (3 + 0 + 0) + (0 + 4)[/tex]
[tex]Even = 7[/tex]
Add the product and the sum of even
[tex]Result = Product + Even[/tex]
[tex]Result = 72+7[/tex]
[tex]Result = 79\\[/tex]
The last digit of the UPC is 9.
Hence, the UPC is:
[tex]UPC = 0-03700-80049-9[/tex]
find the area of the triangle
