Answer:
2 over 5
Step-by-step explanation:
This means out of 5 students only three did their work so 5-3=2
And the number of students who did their work over the total number of students in the class to find the probability
The probability that none of them have done their homework is 0.57%
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that there are 3 students who have done their homework.
If the teacher 2 chooses 2 students, then;
Total no. of Outcomes= 5
Students who did their homework = 3
Students who didn't do their homework is 5-3 = 2
Probability of no. of students who haven't done their homework.
P(e)= 2/5
Thus P(students who haven't done homework) P(e)=0.57%
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
How many terms of the series 2 + 5 + 8 + … must be taken if their sum is 155
9514 1404 393
Answer:
10
Step-by-step explanation:
The sum of terms of an arithmetic series is ...
Sn = (2a +d(n -1))·n/2 = (2an +dn^2 -dn)/2
For the series with first term 2 and common difference 3, the sum is 155 for n terms, where ...
155 = (3n^2 +n(2·2 -3))/2
Multiplying by 2, we have ...
3n^2 +n -310 = 0 . . . . . arranged in standard form
Using the quadratic formula, the positive solution is ...
n = (-1 +√(1 -4(3)(-310)))/(2(3)) = (-1 +√3721)/6 = (61 -1)/6 = 10
10 terms of the series will have a sum of 155.
Step-by-step explanation:
[tex]\displaystyle \ \Large \boldsymbol{} S_n=\frac{2a_1+d(n-1)}{2} \cdot n =155 \\\\ \frac{4+3(n-1)}{2} \cdot n =155 \\\\\\ 4n+3n^2-3n=310 \\\\ 3n^2+n-310=0 \\\\D=1+3720=3721=61^2\\\\n_1=\frac{61-1}{6} =\boxed{10} \\\\\\n_2=\frac{-61-1}{3} \ \ \o[/tex]
Find the measure of TU
A. 8
B. 12
C. 14
D. 11
Answer:
D. 11
Step-by-step explanation:
First apply the secant-secant theorem to find the value of x.
Thus,
VU(TU + VU) = VW(BW + VW) (secant-secant theorem)
Substitute
(7)(x + 4 + 7) = (9)(-2 + x + 9)
7(x + 11) = 9(7 + x)
7x + 77 = 63 + 9x
Collect like terms
7x - 9x = 63 - 77
-2x = -14
Divide both sides by -2
x = 7
✔️Find TU
TU = x + 4
Substitute get value of x
TU = 7 + 4 = 11
Answer:
11
Step-by-step explanation:
95% confident that the true mean difference in mean crying time after being given a vitamin K shot between infants using conventional methods and infants held by their mothers is between ____________and ___________________. In other words, the mean crying time of infants given vitamin K shot using conventional methods is anywhere from ______________ less than to _______________more than the mean crying time of infants given vitamin K shot using new methods.
Solution :
Two sample T-test and CI : Conventional methods, New methods
Two sample T for conventional method Vs new method
N Mean StDev Se Mean
Conventional mean 30 35.3 20.8 3.8
New methods 30 35.1 22.3 4.1
Difference = μ (conventional method) - μ (new method)
Estimate for difference : 0.17
95% CI for difference : (-10.976, 11.309)
T-Test of difference = 0(vs <): T-value = 0.03 P-value =0.5119 DF = 57
95% confident that the true mean difference in mean crying time after being given a vitamin K shot between infants using conventional methods and infants held by their mothers is between -10.976 and 11.309. In other words, the mean crying time of infants given vitamin K shot using conventional methods is anywhere from -10.976 less than to 11.309 more than the mean crying time of infants given vitamin K shot using new methods.
A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost for 150 minutes was $ 62 while in February, the total cost for 175 minutes was $ 64 . The constant charge for each minute used is:
a. 0.09
b. 0.1
c. 0.08
Part 2. The fixed montly fee charged by the carrier is;
fee = $__________________
9514 1404 393
Answer:
c. $0.08
fee = $50
Step-by-step explanation:
We are given two ordered pairs:
(minutes, charges) = (150, 62) and (175, 64)
The slope of the graph of charges is ...
m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08
The charge for each minute is $0.08.
__
The y-intercept of the graph can be found from ...
b = y -mx
b = 62 -150(0.08) = 62 -12 = 50
The fixed monthly fee is $50.
What is the surface area of this figure in square centimeters?
A.96
B.75
C.84
D.60
9514 1404 393
Answer:
A. 96
Step-by-step explanation:
The surface area is the sum of the areas of the two triangular bases and the areas of the three rectangular lateral faces.
A = 2(1/2)bh + PH
where b is the base of the triangle, h is its height, P is the perimeter of the triangle, and H is the height of the prism.
A = (3 cm)(4 cm) +(3 +4 +5 cm)(7 cm) = 12 cm² +84 cm²
A = 96 cm²
The surface area of the triangular prism is 96 square cm.
Which equation is represented by the graph?
Answer:
I don't knowledge bro sorry
Question 20 plz show ALL STEPS and hurry PLEASE
Answer:
(a) You will get ten
Step-by-step explanation:
single cell = 3 min
30 min = ?
30 divided by 10 = 3
Have a good day!
Louise has a hard time keeping her workspace clean at her job. She tries, but it just ends up getting messy again. Which of the following is a likely outcome of her consistent messiness? O a) She will have fewer safety issues. b) She will feel more productive. c) Customers will think she is very busy. O d) She will have a hard time focusing.
Option C
Customers will think she is very busy
A messy desk indicates that the person is very busy.
Must click thanks and mark brainliest
Please help quicklyyy!!!
Answer:
Its the 3 one
Step-by-step explanation:
f(x) = - 2x
g(x) = 8x^2 - 5x + 7
Find (f • g)(x).
9514 1404 393
Answer:
(f•g)(x) = -16x^3 +10x^2 -14x
Step-by-step explanation:
(f•g)(x) = f(x)•g(x) = (-2x)(8x^2 -5x +7)
Use the distributive property:
(f•g)(x) = -16x^3 +10x^2 -14x
Solve for x.
–5(–2x – 5) – 2 – 1= -12
Answer:
x=-17/5
Step-by-step explanation:
–5(–2x – 5) – 2 – 1= -12
+10x+25-2-1=-12
10x+22=-12
10x=-12-22
10x=-34
x=-34/10
x=-17/5
Step-by-step explanation:
Open the brackets
10x +25 -2 - 1= -12
Collect the like terms
10x = -12-25+2+1
10x = -34
Divide both sides by 10
Therefore,x = -34/10 = -3.4
$26,876 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $720.78, how much is invested at each rate? (Round to two decimal places if necessary.)
9514 1404 393
Answer:
$14,747 at 9%$12,129 at 5%Step-by-step explanation:
Let x represent the amount invested at 9%. Then the difference in interest amounts is ...
(9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment
0.14x -1343.80 = 720.78 . . . . . . . . . simplify
0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80
x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14
$14,747 is invested at 9%; $12,129 is invested at 5%.
Tìm thể tích của khối bao bởi mặt z=5+(x−4)^2+2y và mặt x=3,y=4 và mặt phẳng tọa độ.
Step-by-step explanation:
ccxiddidificifificici i i ivi i i i i i i i iivvii iix9difi
find each measurement indicated round your answers to the nearest tenth. Part 1d. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] , substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
[tex]\frac{a}{sin78}[/tex] = [tex]\frac{18}{sin53}[/tex] ( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a = [tex]\frac{18sin78}{sin53}[/tex] ≈ 22.0 ( to the nearest tenth )
(3)
[tex]\frac{c}{sinC}[/tex] = [tex]\frac{a}{sinA}[/tex] , substitute values
[tex]\frac{35}{sinC}[/tex] = [tex]\frac{45}{sin134}[/tex] ( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC = [tex]\frac{35sin134}{45}[/tex] , then
∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{35sin134}{45}[/tex] ) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] , substitute values
[tex]\frac{BC}{sin38}[/tex] = [tex]\frac{10}{sin50}[/tex] ( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC = [tex]\frac{10sin38}{sin50}[/tex] ≈ 8.0 ( to the nearest tenth )
2. What is the length of AB? Round your
answer to the nearest hundredth.
Answer:
The required length of AB is 7.28 units.
14 over 17 as a decimal rounded to the nearest tenth
Step-by-step explanation:
14/17 is 0.82352941176
To the nearest tenth is 0.8
ASAP ITS TIMED
What is the following sum? Assume x20 and 20.
W x ² + 2 / x 374 + xy ſy
0 x ²7² ſy- 2xy?
0 2xy ſy + 2xy ² x
0 4xy dx
o 2xyxy
وی در مورد
Answer:
The right answer is the 2nd one
hope it will help :)
The given sum is option B. 2xy√y + 2xy²√x.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression of sum is,
√(x²y³) + 2√(x³y⁴) + xy √y
We have to find the sum.
√(x²y³) = √x² √y³ = x√y³ = x√(y²)√y = xy√y
Now,
2√(x³y⁴) = 2[√x² √x √(y²)²] = 2x√x y² = 2xy²√x
Substituting these,
√(x²y³) + 2√(x³y⁴) + xy √y = xy√y + 2xy²√x + xy √y
= 2xy√y + 2xy²√x
Hence the equivalent sum is 2xy√y + 2xy²√x.
Learn more about Expressions sum here :
https://brainly.com/question/15284271
#SPJ7
Which expression is equivalent to (3 squared) Superscript negative 2?
Answer:
–81
Step-by-step explanation:
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
9514 1404 393
Answer:
10·2^-8 grams
Step-by-step explanation:
The each day, the initial amount for that day is multiplied by 1/2. After 8 days, the initial amount has been multiplied by (1/2)^8, where the exponent of 8 signifies that (1/2) is a factor 8 times in the product.
After n days, the quantity remaining is ...
q(n) = 10·(1/2)^n = 10·2^(-n)
after 8 days the remaining amount is ...
q(8) = 10·2^-8 . . . grams
SI unit of areaWhat is the SI unit of area
square meter is the SI unit of area.
PLEASE HELP
-1/2m=-9
Show your work in details if you can, I have a hard time understanding this.
[tex] \begin{cases} \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: 18 \: \\ \end{cases}[/tex]
2/5 = 6/ = 10/30 = 14/
Please tell asap
Answer:
6/15.
14/42.
Step-by-step explanation:
2/5 = 6/x
Cross multiply:
2x = 5*6
x = 15
Similarly:
10/30 = 14/x
10x = 30*14
x = 420/10
x = 42.
There is 60% chance of making $12,000, 10% chance of breaking even and 30% chance of losing $6,200. What is the expected value of the purchase?
Answer:
$5,340
Step-by-step explanation:
Given :
Making a probability distribution :
X : ___12000 ____0 _____-6200
P(X) __ 0.6 _____ 0.1 _____ 0.3
Tge expected value of the purchase si equal to the expected value or average, E(X) :
E(X) = ΣX*p(X)
E(X) = (12000 * 0.6) + (0 * 0.1) + (-6200 * 0.3)
E(X) = 7200 + 0 - 1860
E(X) = $5,340
Find the unit rate.
1/3 kilometer in 1/3hour
Answer:
1 kilometer in 1 hour
Step-by-step explanation:
unit rate is km(kilometer) per hour(hr)
1/3 km = 1/3 hr
multiply both sides by 3
1 km in 1 hour
I need help to fine the statement that is true
Answer:
option A
Step-by-step explanation:
wx and zy making 90 angle with each other therefore they are perpendicular.
wx and ab making 0 angle with each other therefore they are parallel
the line parallel to 2x – 3y = 6 and containing (2,6)
what is the equation of the line ?
First, write out the equation in slope intercept form.
-3y= -2x+6
y= 2/3x -2
The slope of the equation is 2/3, m.
Substitute the slope and coordinate into y=mx+b. Since it’s parallel, the slope remains the same.
6= 2/3(2)+b
6= 4/3+b
14/3=b
y= 2/3x + 14/3
WILL GIVE BRAINLIEST
Combine like terms.
2x – 3 – 5x + 8 = [ ? ]x + [ ]
Answer:
-3x + 5
Step-by-step explanation:
like terms are the ones that have x and the ones that don't.
hope this makes sense
Answer:
-3x + 5
Step-by-step explanation:
2x - 3 - 5x + 8 can also be written as 2x - 5x - 3 + 8
→ Using the rewritten method collect the x terms
-3x - 3 + 8
→ Now collect the integers
-3x + 5
Four people share a taxi to the airport the fare was $36 and they gave the driver a tip equal to 25% of the fair. If they equally share the cost of the fair tip, how How much did each person pay?
Answer:
$11.25
Step-by-step explanation:
Total money given to the taxi driver=36+25% of 36=45
Each person will pay (45/4)=11.25
A farmer weighs a dozen chicken eggs. The heaviest egg is 56 g.
Step-by-step explanation:
hi
what is your question?
Step-by-step explanation:
please tell full questions
trig..experts...help! Will give brainly!
Answer:
Step-by-step explanation:
189² = 215² + 123² - 2(215)(123)cos x°
35,721 = 46,225 + 15,129 - 52,890 cos x°
35,721 = 61,354 - 52,890 cos x°
52,890 (cos x° ) = 25,633
cos x° = 25,633 ÷ 52,890 ≈ 0.4846
x° ≈ 61.01°
