Answer:
Sixteen and forty-three hundredths
Step-by-step explanation:
Applicants to a psychology department have normally distributed GRE scores with a mean, LaTeX: \muμ, of 544 and a standard deviation, LaTeX: \sigmaÏ, of 103. What percentage of applicants scored between 500 and 700? Round to the nearest percent.A. -24% B. 78% C. 2296 D. 24% E. 5%
Answer:
The probability is P(500 < X < 700 ) = 0.60044
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 544[/tex]
The standard deviation is [tex]\sigma = 103[/tex]
Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as
[tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]
=> [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]
Generally from the z-table, the area under the normal curve to the left corresponding to 1.5146 and -0.4272 is
P( Z< 1.5146 ) = 0.93506
P ( Z < -0.4272 ) = 0.33462
So
P(500 < X < 700 ) = 0.93506 - 0.33462
=> P(500 < X < 700 ) = 0.60044
In order to accumulate enough money for a down payment on a house, a couple deposits $589 per
month into an account paying 3% compounded monthly. If payments are made at the end of each period,
how much money will be in the account in 4 years?
Type the amount in the account: $
(Round to the nearest dollar.)
you have four years 1767 dollars in account
Find the midpoint of the segment with the following endpoints.
(-4,-9) and (4, -1)
Answer:
[tex](0,-5)[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -9)
Point (4, -1)
Step 2: Find midpoint
Substitute: [tex](\frac{-4+4}{2},\frac{-9-1}{2})[/tex]Add/Subtract: [tex](\frac{0}{2},\frac{-10}{2})[/tex]Divide: [tex](0,-5)[/tex]Please help if you can. I will give you a brainliest !!
Answer:
its blurry I cant even see it
Step-by-step explanation:
Determine if the following vectors are orthogonal, parallel, or neither.
<2,5> and <-4, 10 >
Answer:
the are parallel to eachother
A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of Xis given (in units of months) byf(x) ={cxe -x/2 x>0 0 x<0 What is the probability that the system functions for at least 5 months?
Answer:
0.2397
Step-by-step explanation:
Given data:
fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.
The probability that the system functions for at least 5 months
= 0.2397
attached below is a detailed solution
Write a four digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
0.5 (x4 - 3) + 12
WILL MARK BRAINLEST PLEASEEE HURRYYYYY!!!!!!!!
0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
I really don’t understand this can someone pls help this is due soon and I will mark brainliest do not answer if your not sure
Answer:
|-3|=3
|0|=0
|3|=3
|-5|=5
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random.
Find the probability that the ticket drawn has a number which is a multiple of 5:
Answer:
1/5
Step-by-step explanation:
4/20 is how many multiples of 5 are in the total out of 20. 4/20 simplified is 1/5
hellpppppp please I will give brainliest
Answer:
y = 2x-2
Step-by-step explanation:
Answer:
C: y=2x-2
2x= slope
-2= y intercept
Step-by-step explanation:
it starts at -2 and the slope continues to go up 2 over right 1
During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.
Answer:
The correct option is a
Step-by-step explanation:
Generally the null hypothesis is rejected (that the result is significant ) when the p-value is less that the the level of significance
Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is 10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also be significant at the level of significance )
gets paid 15 per hour what is the minumim number of hours that joseph must work per week to make $450 per moth? (1moth=4weeks)
Answer:
Minimum of 7 1/2 hours ( 7 hours, and 30 minutes )
Step-by-step explanation:
Rate = money / time
time = money / rate
_____________
1 month = 4 weeks
1 week = 7 days
1 day = 24 hours
1 hour = 60 minutes
_____________
$15 / 1 hour = 1 day / 24 hours = 1 week / 7 days = 1 month / 4 weeks = $450 / 1 month.
$15 / 1 hour / 1 week = $450 / 1 month
$15 / 1 hour / 1 week = $450 / 4 weeks
$15 / 1 hour / 1 week = $112.5 / 1 week
$15 / 1 hour = $112.5
112.5 / 15 = 7.5 hours.
Suppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 11 students in the class. How many different combinations of three selected students can Professor Rodgers create? number of combinations of three students: _________If Professor Rodgers decides he needs four students in the focus group, how many combinations can he create? number of combinations of four students: _____________
Answer:
(A) 165
(B) 330
Step-by-step explanation:
Total number of students in the class = 11
(A) How many different combinations of 3 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 3
11! / [8! 3!] = 165
HINT: 8! or 8 factorial represents [8x7x6x5x4x3x2x1]
(B) How many different combinations of 4 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 4
11! / [7! 4!] = 330
Same hint applies here, for all numbers with the factorial sign.
3.4+(-7)-(-0.2)
PLZ HELP
Answer:
-3.8
Step-by-step explanation:
I used my calculator.
Answer:
-3.8
Step-by-step explanation:
What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32
Answer:
32
Step-by-step explanation:
please make me brainlist
3x^2+5x+2=0
Find what x is for both
Answer:
x = -2/3 and -1
Step-by-step explanation:
3x²+5x+2 = 0
3x²+3x+2x+2=0
3x(x+1) + 2(x+1) =0
(3x + 2) (x + 1) = 0
x = -2/3 and -1
Answer:
Exact form:
x = - 2/3, -1
Decimal Form:
x = -0.6repeated, -1
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
The factors of two numbers are given below: Number 1: 1, 3, 5, 7, 15, 21, 35, 105. Number 2: 1, 3, 7, 21, 49, 147. What is the greatest common factor of the numbers
Answer:
21
Step-by-step explanation:
they both have 21
I need to know the explanation will mark Brainliest
Answer:
the value of x is 23
Step-by-step explanation:
plz mark brainly
Simplify.
7 (x-1) -2 (x-1)
Answer: 5x-5
Step-by-step explanation:
7 (x-1) -2 (x-1)
7x-7-2x+2
Combine like terms:
7x-2x=5x
-7+2=-5
Answer simplified is 5x-5.
Simplify the expression.
6(x+4)+1 =
Answer:
6x+25
Step-by-step explanation:
6(x+4)+1 =
Distribute
6x+24+1
Combine like terms
6x+25
What is the equation of the line that passes through the points (-6,2) and (4,-3)
Answer:
The equation is: 9x-y = 56
Step-by-step explanation:
Given two point: (x,y) = (-6,2)
(x,y) = (4,-3)
Now, to find the slope of the line:
Slope = y1-y2/x1-x2 => 2-4/-6-(-3) = -1/9
Then, the equation of the line passing through a point:
=> y-y1 = m(x-x1)
=> y-2 = -1/9(x-6)
=> 1(y-2) = -9(x-6)
=> y-2 = -9x+54
=> 9x-y = 56
May y'all please help me
Answer:
2x^2 - 11x + 6
Step-by-step explanation:
2x^2 + 4x - 3 * (5x - 2)
Distribute -3 between the parentheses like so.
2x^2 + 4x - 15x + 6
And then add like terms 4x and 15x together.
2x^2 - 11x + 6
I put D since I believe HL applies here but am not sure. Could anybody please help?
====================================================
Explanation:
Check out the diagram below.
On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.
Angle STR = Angle VTU because they are vertical angles
Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.
We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.
AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.
Can someone pls help me solving this? ITS NOT A TEST
Answer:
10x +12
Step-by-step explanation:
2(3x+7) = 6x+14
2(2x-1) = 4x-2
6x+14 +4x-2 = 10x+12
Answer:
P = 10x + 12
Step-by-step explanation:
The length of the rectangle is
L = 3x + 7
The width of the rectangle is
W = 2x - 1
The formula for perimeter of a rectangle is
P = 2L + 2W
Plug in the values for length and width and simplify.
P = 2(3x + 7) + 2(2x - 1)
P = 6x + 14 + 4x - 2
P = 10x + 14 - 2
P = 10x + 12
need help please full question in image
An 8-quart jug of water costs $6.08. What is the price per cup?
Answer:
$0.19 cents
Step-by-step explanation:
First, find how many cups are in 8 quarts.
1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:
8(4)
= 32 cups
Then, to find the price per cup, divide the cost by the number of cups:
6.08/32
= 0.19
So, the price per cup is $0.19 cents
PLEASEEEE!!!!! HELPPPPPPPPPPP
Answer:
what's your question I can't understand
Answer:
what's the question
Step-by-step explanation:
please write complete question
What is the value of the expression below?
-8+19+8
ОО
O 11
O 19
O 35
Answer:
the answer would be 19.
Step-by-step explanation:
-8+8=0
0+19=19
Answer:
19
Step-by-step explanation:
Determine whether the graph represents a function?
None are correct
The relation is a function
The relation is not a function