Answer:
the correct answer is 2,432
In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35
Answer:
4/35
Step-by-step explanation:
Probability of 1 student having no hw is 4/7, then 3/6, then 2/5
4/7 x 3/6 x 2/5 reduces to 4/35
What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?
Answer:
77.43% decrease
Step-by-step explanation:
A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89
A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87
A 11% decrease followed by a 13% decrease has an overall change of
0.89 × 0.87 = 0.7743 × 100% = 77.43%
to reflect point R(6, 10) over the y-axis. What are the coordinates for R’?
Answer:
-6, 10
Step-by-step explanation:
When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same
How could you design an experiment to support the claim that people who watch television for at least 2 hours every night have lower energy in the evening than people who do not watch as much television Include any factors or steps that should be considered .
Step-by-step explanation:
Several ways in which television can disrupt or alter sleep patterns:
The blue light emitted by screens can interfere with your brain’s production of melatonin at night, making it harder for you to fall asleep. Exciting or disturbing content can switch your mind into high gear, making it harder to wind down, and harder to sleep deeply. The timing of television viewing may push back bedtime and contribute to sleep disturbances -- including sleep-related anxieties and difficulty falling asleep. Having a television in the bedroom can undermine your ability to sleep well. Extended viewing may lead to sleep loss, poor quality sleep, and daytime tiredness.People who don't watch Television won't have these problems.
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
What is the value of the expression below when x=1? 4x ^2 5x
Answer: 80
Step-by-step explanation:
Just substitute 1 for x in your expression and solve
What is the measure of angle XYZ?
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
HELP MEEE
Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
25
5 10 5 20
Amount of Time
(minutes)
What is the range of the data Colin collected?
05
0 20
o 25
11
Answer:
pretty sure its twenty
Step-by-step explanation:
you have to subtract the maximum from the minimum values
so 25-5=20
have a nice day!!!!!!!!
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
can you guys help me pls
Answer
A
Step-by-step explanation:
So in the diagrams we see there is 2/3 shaded into a 12 cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.
so
[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]
Since we multiplied 4 on the bottom we have to multiply 4 on the top.
sorry im not good at explaining but if you need me to re explain ill work on it. :)
the u.s. produces 5.39x 10
The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes
How to express exponents in standard notation?We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.
Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;
5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10
⇒ 5.39 * 10000000
⇒ 53,900,000 metric tonnes
The complete question is;
The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation
Read more about Standard notation at; https://brainly.com/question/5756316
#SPJ1
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
Determine the solution to this equation y= 3X + 1. 3y- 5x =11
Answer: y = 3,x =7
Step-by-step explanation:
Please help me it would mean a lot !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Given
f(x) = 4x + 7
so
f(a + h) = 4(a + h) + h
= 4a + 4h +h
= 4a + 5h
f(a) = 4a + 7
now by the question
[tex]\frac{f(a+h) - f(a)}{h}\\=\frac{4a + 5h - 4a + 7}{h}\\=\frac{ 5h + 7}{h} \\= \frac{5h}{h} + \frac{7}{h} \\= 5 +\frac{7}{h}[/tex]
hope it helps :)
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
I need the answer ?
Answer: =3x^3+5
Step-by-step explanation: Hope this help :D
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
exponent
Step-by-step explanation:
Answer:
power or exponent it can be both, but being specific here, choose exponent
Step-by-step explanation:
i studied this concept trust me
Morty spent $54 on tulips and roses and bought a total of 14 flowers. If tulips cost $5 and roses $3
Let t = number of tulips bought
Let r = number of roses bought
a) Write the system.
b) How many of each flower did Morty buy? (Solve the system)
Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
BRAINLIST!!!
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
Answer:
If you think numbers with fractions are annoying, consider transforming the number into fractions!
Step-by-step explanation:
7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day
Convert 38,338,856 seconds to days. Round to 1 decimal.
Answer:
443.736759 day
Step-by-step explanation:
To convert a seconds to days, divide the time by the conversion ratio.
So.....
One day is equal to 86,400 seconds, you can use this formula to convert:
days = seconds ÷ 86,400
The time in days is equal to the seconds divided by 86,400.
Example: Convert 50,000 seconds to days (use the formula above)
50,000 sec = (50,000 ÷ 86,400) = 0.578704 day
A decimal that stops (like 2.48) is which type of number?
A.rational
B.whole number
C.irrational
D.integer
Answer: B rational
Step-by-step explanation:
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?
9514 1404 393
Answer:
A. translation 8 left
Step-by-step explanation:
Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.
Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.
Answer:
a is the answer.
Step-by-step explanation:
Write the slope-intercept equation of this line.
when the answers are
A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.
In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.
Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars.
A. What proportion of the bank's Visa cardholders pay more than 32 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?
D. What interest payment is exceeded by only 19% of the bank's Visa cardholders?
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Could you please answer? I'm on a big test
Answer:
it is option C
Step-by-step explanation:
download to help your work
1/ a cube and b to the power 4
PLEASE HELP I WILL MARK
BRIANLIST Caitlin has $24 to spend. She spent $8.50, including tax, to buy a book. She needs to save $6.25, but she wants to buy some candy. If each piece of candy costs $0.25 including tax, what inequality would show the maximum number of pieces Caitlin can buy? Let x represent the cost of one piece of candy.
Solve your inequality by showing your work and steps.
Answer: 37 pieces of candy
Step-by-step explanation:
24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37
Verify the following identity and show steps
(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?
Answer:
Step-by-step explanation:600
If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?
Answer:
40
explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.