John, Paul, and Sonia all attend the same school, but are in different grades. John is in the 6th grade, Paul in 7th, and Sonia in 8th. John get homework 65% of the time, Paul get homework 80% of the time, and Sonia get homework 85% of the time. Factoring all three students into the probability, what is the probability that on any given day only John gets homework
Answer:
0.0195 = 1.95% probability that on any given day only John gets homework
Step-by-step explanation:
What is the probability that on any given day only John gets homework?
John has a 65% probability of getting homework.
Paul has a 100 - 80 = 20% probability of not getting homework.
Sonia has a 100 - 85 = 15% probability of not getting homework.
Since these events are independent, the probability is the multiplication.
0.65*0.2*0.15 = 0.0195
0.0195 = 1.95% probability that on any given day only John gets homework
Brianna has a 50$ online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of 5$ for her entire order. How many books can Brianna buy without spending more than her gift certificate amount?
Answer:
5
Step-by-step explanation:
9x+5=50
9x=45
x=5
Brianna can buy up to 5 books without spending more than her gift certificate amount.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
If each book costs $9 and Brianna has a $50 gift certificate, we can start by dividing the total amount she can spend by the cost of each book.
$50 gift certificate / $9 per book = 5.55 books
Since Brianna cannot buy a fractional part of a book, she can only purchase a whole number of books.
Therefore, the maximum number of books she can buy without spending more than her gift certificate amount is 5 books.
Additionally, there is a $5 shipping charge for the entire order, so Brianna should make sure to factor this into her budget.
If Brianna buys 5 books at $9 each, the total cost of the books will be $45. Adding the $5 shipping charge brings the total to $50, which is the exact amount of her gift certificate.
Therefore, Brianna can buy up to 5 books without spending more than her gift certificate amount.
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Evaluate. 72 - 3 + 9 × 8 ÷ 2 w =
Answer:
Step-by-step explanation:
Request of activities so increase then division, at that point deduction and expansion.
9*8 = 72
72/2 = 36
72-3 = 69
69+36 = 105
Another way of saying it is:
Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.
Bit by bit clarification:
7^2 - 3 + 9 x 8 ÷ 2
49 - 3 + 9 x 8 ÷ 2
49 - 3 + 72 ÷ 2
49 - 3 + 36
49 - 39
W=10
Brainliest?
PLZ HELP 3 MINUTES LEFT WIL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
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tony completes one lap of a track every 20 seconds. diana completes one lap of the same track every 55 seconds. suppose tony and diana start at the starting line at the same time. how many seconds will it be before they cross the starting line at the same time again?
Answer:
220 seconds.
Step-by-step explanation:
55, 110, 165, 220.
20,40,60,80,100,120,140,160,180,200,220.
Both have 220 in common so will cross at 220 seconds at the same time.
Yukarıda verilen şekilde,
[LK // [NP, m(LMN) = 40°, m(KLM) = aº,
m(MNP) = bº ve b = a + 70°'dir.
Buna göre a kaç derecedir?
A) 30
B) 35
C) 60
D) 75
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
I need some help. I will try to give brainliest
Answer:
Step-by-step explanation:
What is the slope of the line 3y = 4x + 5?
Answer:
4/3
Step-by-step explanation:
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Answer: 4/18
Step-by-step explanation:
The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Let's suppose the x out of 18 can be written as 0.22222222
x/18 = 0.22222222
x = 3.999999 ≈ 4
It means 4/18 can be written as 0.22222222
Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.
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Centerville Middle School spends $13 for every workbook it buys. At most how many
workbooks can Centerville Middle School buy if it has $26 to spend?
Answer:
they can buy 2
Step-by-step explanation:
13 x 2 = 26
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?
Answer:
43
Step-by-step explanation:
The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.
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Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
Answer:
Step-by-step explanation:
The length of AC should be between 5 inches and 25 inches
Jose in this problem draws a triangle, ABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem:
where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
- The minimum value for is obtained for , for which , so in this case the length of AC is
So, the length of AC must be between 5 and 25 inches.
-Random Brainly user
Answer:
10 inches and yes
Step-by-step explanation:
if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C
Which ordered pair is a solution to the system
Answer:
I think it might be this one(-2,0)
7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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Can Someone Please Help Me. ?
Answer: I think its A?
Step-by-step explanation:
Write the equation of the line that passes through (7,-4) and (-1,-2) in slope-intercept form.
Answer:
y = -1/4x - 5/2
Step-by-step explanation:
-2- -4 /-1-7 = 2/-8 = -1/4
y+2 = -1/4(x+2)
y+2 = -1/4x - 1/2
y = -1/4x -5/2
Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE
Answer:
DE = 29.57
Step-by-step explanation:
Given:
AX = 15 cm,
CX = 12 cm,
EX = 21 cm.
Required:
Find DE
Solution:
AX and CX are segments of chord AC
DX and EX are segments of chord DE
Therefore,
DE = DX + EX
DE = DX + 21
We are not given the value of DX, so we need to find DX
Based on the intersecting chords theorem:
AX*CX = DX*EX
Plug in the values
15*12 = DX*21
180 = DX*21
Divide both sides by 21
180/21 = DX
8.57142857 = DX
DX ≈ 8.57
✅DE = DX + 21 = 8.57 + 21 = 29.57
Mensualmente el número de árboles talados aumenta en un 9% respecto del mes anterior. Si este mes hay 85.000 árboles talados, ¿cuántos árboles talados habrá, aproximadamente, en 6 meses más?
Answer:
FV= 639.483 arboles
Step-by-step explanation:
Dada la siguiente información:
Cantidad de árboles talados (A)= 85.000
Proporción de crecimiento (g)= 9% mensual
Cantidad de meses (n)= 6
Para calcular el total de árboles talados en 6 meses, tenemos que usar la siguiente formula:
FV= {A*[(1+i)^n - 1]} / i
A= cantidad de árboles talados
i= proporcion de crecimiento
n= cantidad de meses
FV= {85.000*[(1.09^6) - 1]} / 0.09
FV= 639.483 arboles
Ahora, la cantidad de árboles que se talaran en el sexto mes:
FV= PV*(1+i)^n
FV= 85,000*(1.09^6)
FV= 142.553
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
A company issues a general knowledge test to its potential employees as part of its recruitment procedures. The company does not invite the lowest scoring 20% back for a second interview. If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17. What mark (to the nearest whole number) must a candidate achieve in order to secure a second interview
Answer:
46
Step-by-step explanation:
Given :
Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8
Mean, m = 60
Standard deviation, s = 17
Zscore = (x - mean) / standard deviation
Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8
Using a Z probability calculator ;
The Zscore = -0.842
Therefore to Obtian the score, x
Zscore = (x - mean) / standard deviation
-0.842 = (x - 60) / 17
-0.842 * 17 = (x - 60)
-14.314 = x - 60
-14.314 + 60 = x
x = 45.686
To secure a second interview, candidate must score, 46 (nearest whole number).
The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.
Given :
A company issues a general knowledge test to its potential employees as part of its recruitment procedures.The company does not invite the lowest scoring 20% back for a second interview.If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17.Let 'x' be the mark must a candidate achieve in order to secure a second interview.
So, through the z-score formula, the value of 'x' can be determined.
[tex]\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}[/tex]
[tex]\rm -0.842 = \dfrac{x-60}{17}[/tex]
[tex]17\times -0.842 = x - 60[/tex]
x = 60 - 14.314
x = 45.686
So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.
For more information, refer to the link given below:
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Subtract y from 5....
Answer:
5y-y= 5? I don’t know I’m not totally sure.
Step-by-step explanation:
Solve 24y + 0.2 = 29.6
Answer:
[tex]y=1.225[/tex]
Step-by-step explanation:
[tex]24y+0.2=29.6[/tex]
Subtract 0.2 from both sides:
[tex]24y+0.2-0.2=29.6-0.2\\24y=29.4[/tex]
Divide both sides by 24:
[tex]\frac{24y}{24} =\frac{29.4}{24} \\y = 1.225[/tex]
y = 1.225 is your final answer.
compare and contrast area and perimeter
Answer:
area is the numbers around the shape and perimeter is inside
Step-by-step explanation:
3. The cone below is intersected by a
horizontal plane. What is the shape of the
cross section?
Answer:
It depends were you are looking from but there is shows D. Oval so ig thats
the answer
Help me please. This is due later today.
Answer:
2:5 i THINK
Step-by-step explanation:
Share 13 ones with 2 groups. How many ones are in each group
Answer:
6.5
Step-by-step explanation:
13 divided by 2 = 6.5
Help how do you simplify this????!!!
Answer:
3/5
Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same
A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?
Answer:
87.5%
Step-by-step explanation:
The area of the entire rectangle is 8 by 6,
8x6=48 so the area is 48 units^2.
The area of the triangle is A=1/2bh
A=1/2(2)(6)
A=1(6)
A=6 units^2
6/48=0.125
0.125=12.5%
You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.
100-12.5=87.5
There is an 87.5% chance it will not land in the triangle