Since all sides of a square are the same, the area of a square is one side squared.
Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.
The opposite is to square root the area. If you calculate the square root of 16, you get 4.
In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.
Easy as that, you get your answer!
5x
What is the value of x in this equation: 4x+5=3x+4
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this cost is normally distributed with a standard deviation of $82. If you want to be in the bottom 50%, what will be the cut-off dollar amount
Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that [tex]\mu = 328, \sigma = 82[/tex]
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 328}{82}[/tex]
[tex]X - 328 = 0*82[/tex]
[tex]X = 328[/tex]
The cut-off dollar amount is $328.
Find the next term of the following sequence.
9. 6. 4
Answer:
3
Step-by-step explanation:
Answer: 3
3 would be the answer cuz the it goes down by 3 then 2 then 1
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
If you draw a card with a value of five or less from a standard deck of cards, I will pay you $7$ 7. If not, you pay me $7$ 7. (Aces are considered the highest card in the deck.) Step 2 of 2 : If you played this game 543543 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
[tex]Amount = -\$1461.9[/tex]
Step-by-step explanation:
We have the following:
[tex]Total = 52[/tex] --- cards in a standard deck
Represent cards with a value of 5 or less with x
So: [tex]x = \{2, 3, 4, 5\}[/tex] i.e 4 cards
However, each of these has a frequency of 4.
So: [tex]n(x) = 4\ cards* 4[/tex]
[tex]n(x) = 16[/tex]
The probability is:
[tex]p(x) = \frac{16}{52}[/tex]
The cost of this is:
[tex]C(x) = +\$7[/tex]
Represent cards with a value of above 5 with y
[tex]n(y) = 52 - 16[/tex]
[tex]n(y) = 36[/tex]
The probability is:
[tex]p(y) = \frac{36}{52}[/tex]
The cost of this is:
[tex]C(y) = -\$7[/tex] --- It is negative because you lost
In a game, your expected amount is:
[tex]E = n(x) * C(x) + n(y) * C(y)[/tex]
[tex]E = \frac{16}{52} * (+\$7) + \frac{36}{52} * (-\$7)[/tex]
[tex]E = \frac{16* \$7}{52} - \frac{36* \$7}{52}[/tex]
[tex]E = \frac{\$112}{52} - \frac{\$252}{52}[/tex]
[tex]E = \frac{\$112 - \$252}{52}[/tex]
[tex]E = -\frac{\$140}{52}[/tex]
When you play 543 times, the expected amount is:
[tex]Amount = E * 543[/tex]
[tex]Amount = -\frac{\$140}{52} *543[/tex]
[tex]Amount = -\frac{\$140 *543}{52}[/tex]
[tex]Amount = -\frac{\$76020}{52}[/tex]
[tex]Amount = -\$1461.9[/tex]
write an inequality to represent the situation: the temp stayed above -15 degrees
Answer:
t> - 15
I hope this helps, if it's right please give me brainless
<--------- -15 -10 -5 0
----------------------------------------
there would be an open dot under -15
Y=x+3
2x+y=-6
Find the solution :
Answer:
Your solution is (-3,0)
Step-by-step explanation:
Hi,
We know what Y is, so we can plug it into the second equation.
2x + y = -6
2x + (x + 3) = -6
Now, add the like terms...
3x + 3 = -6
3x = -9
x = -3
Now, plug x back in to find y.
y = x + 3
y = (-3) + 3
y = 0
Your solution is (-3,0)
Hope this helps :)
CAN SOMEONE HELP ME!!
Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 6% interest, com pounded quarterly , in order to meet his goal ?
Answer
37 ,123.52
Explanation
the image above, hope it helps
Is this sequence arithmetic? 6,11,16,21
Answer: Yes, it is.
Step-by-step explanation:
Sorry, I just know the answer because I just did this in school. Like- right now
Simplify the expression 2(10)+2(x-2)
Answer:
16 + 2x
Step-by-step explanation:
What is the constant of proportionality of the equation y = -1/4x
-1/4 or -1/4x
---
hope it helps
sorry if it doesn't
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo decimal places
Answer:
The thing u pasted is glitched and isn't loading
Step-by-step explanation:
Employees at The Shoe Shack get a 25% discount when they buy a pair of shoes at the store.
Answer:12
Step-by-step explanation:
I need help please help
Answer: 25.12
Step-by-step explanation: good luck
Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please
Answer:
Step-by-step explanation:
3x-11 = x+9
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY
Answer:
Step-by-step explanation:
Think B cause if it was 3 in the bracket it be × by ⅓ so ⅓ does the opposite I think
Determine if the measurements below will create a triangle. Then, explain your thinking.
55°, 80°, 55°
Answer:
No, the measurements given cannot be used to create a triangle.
Explanation:
The sum of all the angles of a triangle should be 180°.
Here,
55°+80°+55°=190°
which is not equal to 180°.
So, the traingle cannot be formed using the given measurements.
Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.
What is the student's median unit test score?
Enter your answer in the box.
Answer: 92.4
Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be
98+97+83+94+90= 462 Then you divide that by 5 and get 92.4
Hope this helps ^^
a solution set always include....
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate increases at 398mi/h
Step-by-step explanation:
Given
[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance
The given parameters is represented with the attached figure
Using Pythagoras theorem [take the attached image as a point of reference]
[tex]y^2 = x^2 + 1^2[/tex]
[tex]y^2 = x^2 + 1[/tex]
Differentiate with respect to time (t):
[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]
Divide both sides by 2
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)
When y = 2:
[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem
[tex]2^2 = x^2 + 1[/tex]
[tex]4 = x^2 + 1[/tex]
Collect like terms
[tex]x^2 = 4 -1[/tex]
[tex]x^2 = 3[/tex]
Solve for x
[tex]x = \sqrt 3[/tex]
So:
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]
Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]
[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]
[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]
Divide by 2
[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 230*1.7321[/tex]
[tex]\frac{dy}{dt} = 398.383[/tex]
[tex]\frac{dy}{dt} \approx 398[/tex]
Sandra is creating a new passcode for her phone. Her passcode will be 5 digits and she can choose any number between 0-9, with no repetition allowed. How many possible options passcode does she have?
a. 10X10X10X10X10
b.9X8X7X6X5
c.5X4X3X2X1
d.10X9X8X7X6
Answer:
B and C
Step-by-step explanation:
but i'm not sure
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Find the area of the polygon.
Answer:
240
Step-by-step explanation:
Hello There!
Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram
The formula for area of a parallelogram is
[tex]A=bh[/tex]
where b = base and h = height
the given dimension are
height = 15
base = 16
so all we have to do is plug in the values into the formula
[tex]A=(15)16\\15*16=240\\A=240[/tex]
so we can conclude that the area of the polygon is
240 square units
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
Help I need help with this algebra.
Answer:
B, D, F
Step-by-step explanation:
B, D, F
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?
Answer:
60 minutes which grade
are you in I did it I think
Step-by-step explanation:
I Finish Work in 2 hrs
Work done in 1 Hr = 1/2
Brother Finish work in 3 Hrs Work done in 1 hr = 1/3
Let Say both Complete Work in T hrs as it has to be painted on both sides
Then T (1/2+1/3) = 2
=> T × 5/6 = 2
=> T = 2 Hr 24 Mins
=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping
Learn more here:
Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...
https://brainly.in/question/10694066Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..
https://brainly.in/question/920470610 men can complete a job in 200 days. They started the work. After...
https://brainly.in/question/13973456I invested $1585 for 5 years and
earned $475.50 in interest. What was
the interest rate?
Answer:
6%
Step-by-step explanation:
Given data
Principal= $1585
Time = 5 years
Interest = $475.50
Rate =???
The expression for the interest is given as
SI=PRT/100
substitute
475.50=1585*R*5/100
Cross multiply
475.50*100= 7925R
47550=7925R
R= 47550/7925
R= 6%
Hence the rate is 6%
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
197 in²
Step-by-step explanation:
TOP 5x5=25
BOTTOM 9x5=45
BACK 5x5=25
SLOPED FRONT 6.4x5=32
TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70
25+45+25+32+70=197