Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9
Please show work!
Answer:
Parallel
Step-by-step explanation:
What you want to do first is to put both equations into the slope intercept form: y=mx+b.
In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:
[tex]6y = -3x + 30[/tex]
Then you want to divide both sides by 6 to isolate y:
[tex]y = -\frac{1}{2}x + 5[/tex]
Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:
[tex]4y=-2x+9[/tex]
Then you want to divide both sides by '4' to isolate y:
[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]
Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.
In the case of this problem, the slopes are the same, so the equations are parallel:
[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]
helen got a$7 reduction in the price of a pair of jeans that are normally $32 what is the approximate percent decrease in the price
Answer:
The percent decrease is approximately 21%.
Step-by-step explanation:
If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?
Answer:
Step-by-step explanation:
There is a new truck worth $31,500 and it loses value at the rate of 2.7% per year.
1) Create an exponential model.
2) How much is the truck worth 5 years later?
3) How much is the truck worth 15 months later?
Answer:
For 2 it's 27,247 and for 3 it's 31393.86
Step-by-step explanation:
The math club is having a car wash to raise funds to attend a state competition. They need to raise a minimum of $325.00. The cost of supplies for the car wash is $25.00. If they expect 40 cars on the day of the car wash, what is the amount they will have to charge each car to meet the minimum goal?
Answer:
8.75
Step-by-step explanation:
the formula to use would be:
$325 = 40x - 25
add 25 to both sides of the equation to get:
$350 = 40x
divide both sides by 40 to get:
x = 350/40 = $8.75
if they charge $8.75 per car, they will raise 40 * that for a total of $350.
they would then subtract the $25 for the cost of the supplies and they would be left with $325.
that's their minimum goal.
Answer:
8.75
Step-by-step explanation:
Solve: C - 20 = 4 - 3c
Need to solve for C
C=___
Answer:
C = 6
Step-by-step explanation:
Here are steps
C - 20 = 4 - 3C
C + 3C = 4 + 20
4C = 24
C = 6
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.
Answer:
11355mL
Step-by-step explanation:
It gives you how many milliliters are in one gallon. From there it gives extra information that isn't needed so you skip it and go to the question which is the amount of mL in 3 gallons. So you take the amount from the first sentence (3,785 mL) and multiply it by the amount that they ask in th equestion (3 gal) .
3785*3= 11355
Place the following numbers from least to greatest.
4.14, 3.24, 3.14, 4.24
helpppp it’s my friends birthday
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
Answer:
5.6864
Step-by-step explanation:
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
2 1/8 and 17/8 are reciprocal numbers. True False
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?
Answer:
he would get 10$
Step-by-step explanation:
if you divide 500 by 1 you get 5 times that by 2
the tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50
Answer:
$ 1,593.75
Step-by-step explanation:
this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D
Which is the constant of proportionality for the relationship shown in the table?
Answer:
b
Step-by-step explanation:
Find the slope. (4,2) (7, 6.5)
Answer:
B.
Step-by-step explanation:
m=y2-y1/x2-x1
6.5-2=4.5
7-4=3
4.5/3=1.5
the slope is 1.5
hope this helps :3
if it did pls mark brainliest
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
Please help will put brainliest
Answer:
7x - 8y = -23
Slope = 1.750/2.000 = 0.875
x - intercept = -23/7 = 3.28571
y - intercept = 23/8 = 2.87500
7x - 7y = -14
Slope = 1
x - intercept = -2/1 = -2.00000
y - intercept = 2/1 = 2.00000
Someone help me with this please
Answer:
pretty sure it's B, its just really hard to see
Step-by-step explanation:
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
something divided by -7 that gives -4 PLEASE I NEED HEEELP
Answer:
28
Step-by-step explanation:
Just do -4 multiplied by -7 which is 28
When divided it gives you -4
Answer:
just look it up
Step-by-step explanation:
Safari, Ask what u need too, and that is it
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 penniesThree six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY
In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)
Answer: (0.1118, 0.3454)
Step-by-step explanation:
Confidence interval for population proportion is given by :-
[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.
Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.
Given : n= 35
[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]
Critical z-value for 90% confidence level =1.645
A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:
[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]
∴ Required confidence interval : (0.1118, 0.3454)
In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer
Answer:
[tex] TV = 34 [/tex]
Step-by-step explanation:
WX = 23 – 2x,
TV = 64 – 10x,
First, create an equation you will use to find the value of x.
Thus:
[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]
Multiply both sides by 2
[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]
[tex] 46 - 4x = 64 - 10x [/tex]
Collect like terms
[tex] 46 - 64= 4x - 10x [/tex]
[tex] -18= -6x [/tex]
Divide both sides by -6
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find TV:
[tex] TV = 64 - 10x [/tex]
Plug in the value of x
[tex] TV = 64 - 10(3) = 64 - 30 [/tex]
[tex] TV = 34 [/tex]
Answer:
the answer is 18
Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time
Answer:
I needed help with this answer well, because im on it right now.
Step-by-step explanation:
I'm in algebra and I don't understand how to solve this equation or problem :(
2 1/2 times (-3 3/4)
Answer:
-9.375
Step-by-step explanation:
2 1/2 x (-3 3/4) = -9.375
Answer: [tex]-9\frac{3}{8}[/tex]
Step-by-step explanation:
is it possible to build a triangle with lengths of 5 7 12
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
