Answer:
40.
Step-by-step explanation:
16 × 2 1/2= X
= 40.
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of minutes with a standard deviation of minutes. The health center makes appointments each day and is scheduled to be open for hours. What is the probability that the total time spent for students who have appointments for tomorrow will exceed hours? (Hint: hours minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Some data in the question are missing. The complete question is :
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Solution :
Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]
∴ E([tex]$X_i$[/tex]) = 5.6
V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]
n = 100
The required probability
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]
= 100 x 5.6
= 560
[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]
Standard deviation = 3.5 x 100
= 35
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]
[tex]$= \phi (1.14286)$[/tex]
= 0.8735
= 0.874 (round to 3 decimal places)
How do I use the Descartes Rule of Signs to determine all possible number of positive and negative zeros?
f(x)= x^4-2x^3-4x^2+2x+3
Answer:
We conclude that:
2 or 0 positive real roots2 or 0 negative real rootsStep-by-step explanation:
Descartes Rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is:
Either equal to the number of sign differences between consecutive nonzero coefficients, Or is less than it by an even number.Given the function
[tex]f\left(x\right)=x^4-2x^3-4x^2+2x+3[/tex]
So, the coefficients are 1, −2, −4, 2, 3
As can be seen, there are 2 changes.
This means that there are 2 or 0 positive real roots.
To find the number of negative real roots, substitute x with -x in the given polynomial:
[tex]x^4-2x^3-4x^2+2x+3[/tex] becomes [tex]x^4+2x^3-4x^2-2x+3[/tex]
The coefficients are 1, 2, −4, −2, 3
As can be seen, there are 2 changes.
This means that there are 2 or 0 negative real roots.
Therefore, we conclude that:
2 or 0 positive real roots2 or 0 negative real rootsHow do I solve this equation -3|x+5|+7=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−31x+51+7=4
(−31x)+(51+7)=4(Combine Like Terms)
−31x+58=4
−31x+58=4
Step 2: Subtract 58 from both sides.
−31x+58−58=4−58
−31x=−54
Step 3: Divide both sides by -31.
−31x / −31 = −54 / −31
x = 54 / 31
A train travels 200 kilometers in 2.5 hours. What is the train's average speed?
A. 75 km/h
B. 80 km/h
C. 100 km/h
D. 125 km/h
Answer:
200/2.5=80
your answer would be B: 80 km/h
i thought of a number decreased it by 5 then multiplied the product by 8 and got 256
The schoolyard has an area of 3864 ft.² The section that is in the shape of a triangle is used for picnic tables what is the area of the section for picnic tables
Step-by-step explanation:
Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.
46 x 46 = 2116
We then subtract this from 3846, so
3846 square feet - 2116 square feet = 1730
A builder can buy 6 sheets of plywood for $33. At that rate, how much would 14 sheets of plywood cost?
Answer: 77 dollars
Step-by-step explanation:
6 sheets = 33 dollars
14 sheets = {(33/6)*14} = 77 dollars
Jessie can type 140 words every 4 minutes. Suppose she needs to type a report that will have 700 words. Write a proportion that could be used to predict the number of minutes it will take Jessie to type the report. Use x to represent the number of minutes.
Answer:
X = 20 minutes .
Step-by-step explanation:
One word: 4/140 = 1/35 minute .
700 words: X = 700x1/35 = 20 minutes .
(Multiplication)
find a parameterization for a circle of radius 3 with center (-4,4,1) in a plane parallel to the yz plane. write your parameterization so the y component includes a positive cosine
Answer:
Following are the solution to the question:
Step-by-step explanation:
[tex]Radius= 3\\\\center= (-4,4,1)\\\\x(t)=-4\\\\y(t)=4+3 \cos \ t\\\\z(t)= 1+ 3 \sin \ t[/tex]
Bank D pays 7.289% effective annual yield, on an investment account in which interest is compounded weekly. What is the annual interest rate before compounding?
The annual interest rate before compounding will be 7.0404%.
What is compound interest ?
Compound interest is the type of interest that is calculated using both the principal and the interest that has accumulated over the preceding period.
Given that Bank D pays 7.289% annual yield on an investment account in which interest is compound weekly.
We know that there are 52 weeks in 1 normal year.
The annual interest rate before compounding can be calculated using the formula of compound interest.
Compound interest = Amount - Principal
And Amount is given by the formula ;
Amount = P × [tex](1 +R)^n[/tex]
where ; R is in %.
Let's assume P = $1.
So , the compound interest will be equal to
CI = P × [tex](1 +R)^n[/tex] - P
CI + P = P × [tex](1 +R)^n[/tex]
CI + 1 = 1 × [tex](1 + R)^n[/tex]
As the investment account is compound weekly, so the annual interest rate will be divide by 52 or it will be R / 52.
1 + (7.289/100) = 1 + (R/52)^52
0.07289 = (R/52)^52
Solving this we will get ;
R = 0.0704035593
or
R = 7.0404%
Therefore , the annual interest rate before compounding will be 7.0404%.
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10 less than the product of
2
5
and x is the same as 8.
Please answer it’s due at 1pm
Answer:
x=45
Step-by-step explanation:
2/5x-10=8
2/5x=18
x=18÷2/5
x=18(5/2)
x=45
Answer:
(2/5 × x) - 10= 8
2/5x= 8+10
2x= 5 × 18
x = 90/2
x = 45
3. Triangular Prism 3cm 5cm 4cm 2cm
please help me please
Answer: x=9
Step-by-step explanation: -9x+1=-80
subtract 1 on both sides
-9x=-81
divide both sides with negative 9
x=9
Check: -9(9)+1=-80
-81+1=-80
-80=-80
Answer:
the answer is X=9
Step-by-step explanation:
hope it helps:)
Please answer this correctly without making mistakes
Answer:
Th best thing would be 35% off or the blue coupon
Step-by-step explanation:
Well we can solve the orange coupon first which would be 540.37 for the final price
the blue coupon is 35 percent off or we can just multiply 815.37 by 0.65 becuase since its “off” you would only have to pay 65 percent of the item which is why I’m multiplying by 0.65. You would end up with something like 529 something which is less than 540.37
The blue coupon would be best
Also why not use both of them?
Help me please with this :)
Answer: x+y = -1
Step-by-step explanation: standard form is Ax+Bx=C. In this case, x and y’s coefficient is 1, so you don’t have to put anything in front of x and y. An when you bring -8 to the other side, it become positive 8, and -9+8=-1. hope this helps
Will mark brainiest on any sort of help
Isabel’s employer has recently announced that employees may convert traditional 401(k) plans to Roth 401(k) plans if they so desire. Isabel decides to investigate the option. She believes her tax bracket won’t change from her working years into her retirement. In addition, she’d like to have more take-home pay now.
Should Isabel keep the traditional 401(k) plan or switch to a Roth 401k plan? Use Isabel’s calculations and your knowledge about these plans to explain your recommendation.
two calculations of take-home pay on separate pieces of notebook paper, one for a traditional 401(k) and one for a Roth 401(k)
https://cdn.app.edmentum.com/EdAssets/258d216356b74e6ebdab2f1d46a93bfd?ts=636630771141330000
Answer:
Yes
Step-by-step explanation:
yes because if she keeps her money then,
Answer: The smartest option for Isabel in her case would be to keep the Traditional 401 (k), this is because she ends up with 50 more dollars rather than losing money with the Roth 401 (k). This is only true if her assumptions and calculations are accurate. With her saying that she believes that she will not be in a higher tax bracket, and she wants the most take home money possible then I would recommend she stays with the Traditional 401 (k).
Step-by-step explanation:
With a traditional 401 (k) although you don't have to pay taxes up front, you still need to pay taxes on any capital gains/when you take that money out you will then have to pay some taxes. Although this is the case if you are in a higher tax bracket when you take that money out you will have to be paying at that higher tax bracket. With a Roth 401(k) you pay those taxes up front, but all those capital gains you may recieve over time you end up not having to pay taxes on ANY of it. So if you are in a higher tax bracket and get more of those gains over time from being in that bracket then it would be the smartest option to go with the Roth 401(k). Now this would be smart to go with a Roth 401(k) if you are young and just starting out because you can advance through future opportunies, but in Isabel's case this is different. She says that she believes that her tax bracket won't change and if she wants to have the most take home money possible then in her case it would be the smartest option to go with the traditional 401 (k) because she will be taking home 50 more bucks according to her calculations.
b - 7(b + 2) = 10
can someone solve this?
Isolate the variable by dividing each side by factors that don't contain the variable.
b = −4
Answer:
B= -4
Step-by-step explanation:
A dress is on sale for $168. What was the original price of the dress if the discount was 1/5 of the original price?
Answer:
$201.60
Step-by-step explanation:
1/5 of 168 is 33.6, So I added the $33.6 to 168 and got $201.60.
For the time 8:35, rename one hour to 60 minutes. Add those minutes to the existing minutes.
A-10:20
B-6:40
C- 2:05
D- 9:55
Answer:
here we can talk if you want
At Mama’s Country Kitchen, they serve mashed potatoes and country fried steak. The average amount of mashed potatoes put on the plate is 4 oz. with a standard deviation of 0.2 ounces. If they decided to double their servings of mashed potatoes on each plate, what would be that standard deviation of a total of 10 servings of mashed potatoes?
a) 4
b) 10.24
c) 0.64
d) 3.2
e) 1.6
Answer:
b c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If the standard deviation for the original serving is .2, and they doubled the size, then the deviation would become .4. Then you multiply that by the ten servings to make 4.
32.5 divided by 67.9
Answer:
0.47864506627
Step-by-step explanation:
5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.
A. Z = 2 + N13
B. Z= 4 + 113
C. Z=-2 + V13
D. z = -4 + 13
Answer:
A. Z = 2 + N13
Step-by-step explanation:
Let's solve your equation step-by-step.
0=z2+4z−9
Step 1: Subtract z^2+4z-9 from both sides.
0−(z2+4z−9)=z2+4z−9−(z2+4z−9)
−z2−4z+9=0
For this equation: a=-1, b=-4, c=9
−1z2+−4z+9=0
Step 2: Use quadratic formula with a=-1, b=-4, c=9.
z=
−b±√b2−4ac
2a
z=
−(−4)±√(−4)2−4(−1)(9)
2(−1)
z=
4±√52
−2
z=−2−√13 or z=−2+√13
if a substance has a half life of one day and an initial amount of 100 grams, how many grams will be left after 2 days
Answer:
There will be 25 grams left after 2 days.
Step-by-step explanation:
Half-life describes the amount of time it takes for a cell to turn from one condition to another.
To find the amount of grams for the second day, divide 100 by 2.
100 ÷ 2 = 50
Now, to find the amount of grams for the third day, we need to divide 50 by 2.
50 ÷ 2 = 25
Therefore, there will be 25 grams left after 2 days.
Hope this helps! :D
PLEASE HELP ASAP!!!
Makaila would like to walk at least 70 blocks over the next five days. She would like to increase the number of blocks she walks by two per day for each of the second and third days. Then, she wishes to level off so that the fourth and fifth days she walks only as far as she did on the third day.
a. If the amount that Makaila walks the first day is represented by x, then write expressions for each distance she walks the other four days.
Day 1= x Day 2 = Day 3 = Day 4 = Day 5 =
b. Find all possible values that Makaila could walk on the first day to reach her goal.
c. Assuming that Makaila walks a whole number of blocks on Day 1, what is the fewest number of blocks she could walk on this day and still meet her goal.
A) First day = x blocks
Second day = x + 2 blocks
Third day = x + 4 blocks
Fourth day = x + 4 blocks
Fifth day = x + 4 blocks
B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2
C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks
How to solve arithmetic sequences?A) We are told that the first day, she walks x blocks
Thus;
Second day = x + 2 blocks
Third day = x + 4 blocks
Fourth day = x + 4 blocks
Fifth day = x + 4 blocks
B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14
Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;
5x + 14 ≥ 70
Subtract 14 from both sides of this equation to get:
5x ≥ 56
Divide both sides of this equation by 5 to get:
x ≥ 11.2
C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.
assume she walks exactly 11.2 blocks the first day.
then her total walking based on the formula would be:
first day 11.2
second day 13.2
third day 15.2
fourth day 15.2
fifth day 15.2
total walked is 11.2 + 13.2 + (3 * 15.2)
this equals 24.4 + 45.6 which equals 70.0
Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.
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Please please help me!!!!!
Answer:
(12, 487)
Step-by-step explanation:
y = 3.7x + 442 ----› Eqn. 1
y = 14.4x + 312 ----› Eqn. 2
Substitute y = (3.7x + 442) into eqn. 2.
y = 14.4x + 312 ----› Eqn. 2
3.7x + 442 = 14.4x + 312
Collect like terms
3.7x - 14.4x = -442 + 312
-10.7x = -130
Divide both sides by -10.7
x = 12.1495327
Substitute x = 12.1495327 into eqn. 1.
y = 3.7x + 442 ----› Eqn. 1
y = 3.7(12.1495327) + 442
y = 486.953271
The solution to the system is rounded to the nearest integer:
(12, 487)
Math help please!!! I really need the answers
Answer:
12. CPCTC
13. OPTION B
I GIVE BRAINLILSET ......................,,,,,.,
[tex] {\bf \red {\huge{answer : }}}[/tex]
The money increased from 600 pounds to 621 pounds.
621 - 600 = 21
so , the money increased more 21 pounds.
[tex] \pink {\sf{hence , \frac{21}{621} \times 100 }}[/tex]
[tex] \red{= \frac{21}{\cancel{621}} \times \cancel{100 } }[/tex]
[tex] \red{= \frac{21}{\cancel{6.21}} \times \cancel{1 } }[/tex]
[tex] \red{= \frac{\cancel{21}}{\cancel{6.21}} }[/tex]
[tex] \red{= \frac{3 \frac{79}{207} }{1} }[/tex]
[tex] \red{= 3 \frac{79}{207} }[/tex]
Therefore , the dog's weight increased by 3 79/207%
12) Jim owns a small business.
The table shows information about the weekly wage of the 40 workers
Weekly wage (£)
320
370
420
470
520
Number of workers
10
13
8
7
2
Jim wants to increase the mean wage by 4%, plus £10
Jim thinks the new mean weekly wage of these workers will be more than £415
Is Jim correct?
(6)
Jim is correct. Jim new mean wage of these workers will be more than £415
What is MEAN WAGE?The average pay received by workers for doing the same job over a specific time period is known as the mean wage. We can calculate the mean salary by adding up all the salaries paid to workers in a particular industry or occupation, then dividing the result by the total number of workers. The average or mean is equal to (a+b+c)/3.
According to the given value;
Mean wage
= [(320 X10 ) + (370 x 13 ) + ( 420x8 ) + (4 70 *7 )+ ( 520 x 2 )]/40
= (3200+ 4810 + 3360 + 3290+ 1040)/40
=£392.5
. : New mean wage
= £ 392.5 x 104/100+10
= £418.2 > £415
Hence, Jim is correct .
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HELPP PLEASE WILL GIVE BRAINLIEST
Answer:
1/20
Step-by-step explanation:
3 states start with the letter c. This means that there is a 3/50 probability of getting a state starting with c.
There are 5/6 sides of a die that is at most 5. That is a 5/6 probability.
Multiplying this together, we get:
3/50 x 5/6 =
15/300=
1/20
Solve the system by substitution.
-7x + 5y = -27
y = 2x
Answer:
(-9,-18)
Step-by-step explanation:
-7x +5(2x)=-27
-7x+10x=-27
3x=-27
[tex]\frac{3x}{3}[/tex]=[tex]\frac{-27 x}{3}[/tex]
x= -9
y=2(-9)
y=-18