Answer:
C
Step-by-step explanation:
Which of these is an example of a continuous random variable?
A. Points scored in a basketball game
B. Altitude of an airplane
C. Number of letters in a mailbox
D. Number of heartbeats in a minute
Plz help me well mark brainliest if correct
Answer:
61 seconds
Step-by-step explanation:
Answer:
23 seconds
Step-by-step explanation:
The slowest time is 23 second and the fastest time is 61 seconds
The time before the bar is the tens place and each time after the bar is the ones place
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of the minor axis: (1, 7), (7, 7)
Answer:
The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)
If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:
[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]
[tex](h,k) = (2,0) + (2, 7)[/tex]
[tex](h, k) = (4, 7)[/tex]
The length of each semiaxis is, respectively:
[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]
[tex]a = 3[/tex]
[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]
[tex]b = 7[/tex]
The standard equation of the ellipse is described by the following formula:
[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.
[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.
If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:
[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]
You want to walk from home to a grocery store that is3/4 miles away. You stop for a rest after 5/8 miles. How much farther do you have to walk?
Write your answer as a fraction in simplest form.
Answer:
1/8 miles
Step-by-step explanation:
You have to subtract [tex]\frac{3}{4}- \frac{5}{8}[/tex] for the answer.
First, you gotta make 3/4 have a common denominator.
To do this multiply 3/4 by 2/2 (2/2 equals one, so value isn't changed.)
and you get 6/8.
Then you can subtract 6/8 - 5/8 to get 1/8 miles.
And there's no need to simplify 1/8.
use special right triangle:
What is the length of (BD)
What is the length of (BC)
Answer:
BC = 6.9
Step--step explanation:
Reference angle = 30°
Adjacent = BC
Hypotenuse = 8
Apply trigonometric function, CAH:
Cos 30° = Adj/Hypotenuse
Cos 30° = BC/8
8*Cos 30° = BC
6.92820323 = BC
BC = 6.9 (to the nearest tenth)
Using traditional methods it takes 99 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 190 students and observed that they had a mean of 98 hours. Assume the population variance is known to be 49. Is there evidence at the 0.05 level that the technique reduces the training time?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places
Answer:
the aswer is 0.40 hope this helps
Step-by-step explanation:
The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16
Answer:
The answer is B and BTW AMC STOCKS ARE RISING
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the volume, in cubic inches, of a cylinder with a height of 10 inches and a base radius of 2 inches, to the nearest tenths place?
Answer:
125.7 inches cubed.
Step-by-step explanation:
πr^h is the formula for volume of cylinder.
How many times larger ?
Answer:
100,000
Step-by-step explanation:
So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.
When doing division and multiplcation with exponents, you subtract and add.
So, we have [tex]\frac{3*10^6}{3*10^1}[/tex]
The 3, that doesnt have a exponent on top or bottom, cancels out:
So now we have [tex]\frac{10^6}{10^1}[/tex]
Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:
So we have [tex]10^5[/tex]
When you distrubute the ^5, you get:
100,000
So this is how many times bigger 3* [tex]10^6[/tex] is than 3*[tex]10^1[/tex]
HOpe this helps! :D
No links!!! A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?
Answer:
1215
Step-by-step explanation:
If you have a 25% or 1/4 increase, this would mean that you divided the total number of students and add the quotient to the main thing.
So: 972 divided by 1/4 = 972/4 = 243.
972 + 243 = 1215.
Answer:
1215 Students
Step-by-step explanation:
25% is equal to 1/4 correct? (It is :D) So divide 972/4 to know what 25% of the school's population is. 972/4 = 243. So then 243 is 25% of the students. To get the 25% increase add 972 (for the students that will be back next year) and 243 (for the new students). I may have explained this in a really detailed way but it isn't that hard when you think about it!
1. 972/4 (to find 25%)
2. 25% = 243
3. 974 + 243 (old + new)
4. 1215 Students
7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?
please help asap!!!!
Answer:
12inches
Step-by-step explanation:
Luci and her friends go out to lunch and receive a bill
for their meals that reads $56.80. They added a 20%
tip to their bill before tax was calculated. Tax is 8%.
How much money did they leave in total, including tax
and tip? Round to the nearest cent. Show your work.
Answer:
$72.70
Step-by-step explanation:
bill was $56.80
tip was 20% so was 56.80/ 5( because 5 of 20% will make 100%)= $11.36
tax was 8% so was 56.80*8/100= $4.54
total money paid
56.80+4.54+11.36 = 72.70
leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?
Answer:
The kite is 10.8 m above the ground.
Step-by-step explanation:
Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.
Notice that X is the opposite cathetus to the 40° angle, then:
We can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
where, in our case, we have:
θ = 40°
hypotenuse = 15m
opposite cathetus = X
Replacing these in the equation, we get:
Sin(40°) = X/15m
Now we can solve this for X.
Sin(40°)*15m = X = 9.6m
And the actual height of the kite is X + 1.2m
Then:
H = 9.6m + 1.2m = 10.8m
The kite is 10.8 m above the ground.
A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?
Answer:
371 women had their pregnancy between 250 days and 282 days in length.
di po ako sure sa answer ko, but it is based on what I remembered.
Step-by-step explanation:
z=532-266
16
√500
= 371.74 or 371
Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
update, the restaurant used 673,880 ounces of cream. By what percentage did the
restaurant's annual cream usage decrease?
A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people who conducted the survey reported that the poll had a margin of error of 3.5%. Which of the following best describes this statement
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
B. About 3.5% of the people polled are likely to change their minds about who they will vote foir.
C. Between 44.5% and 51.5% of the voters will vote for Congressman Porkbarrel.
D. About 3.5% ofthe people interviewed refused to answer the question.
E. The probability is .48 that Congressman Porkbarrel will be reelected.
Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
Plz help me well mark brainliest if correct.....????????
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako
I need help with this three problems (with procedure)
Answer:
13. [tex]x^{3} y^3[/tex] cubic units
14. 43 million; 79 million; 3.6 × [tex]10^7[/tex]
15. 2.68 × [tex]10^5[/tex]
Step-by-step explanation:
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
Answer:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{7}{2}x - 16[/tex]
Required
The difference quotient for h
The difference quotient is calculated as:
[tex]\frac{f(x + h) - f(x)}{ h}[/tex]
Calculate f(x + h)
[tex]f(x) = \frac{7}{2}x - 16[/tex]
[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]
[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]
The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]
Collect like terms
[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]
So, we have:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]
Rewrite as:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Answer:
It is A.
Step-by-step explanation:
Just took the test
Which of the following expressions is equivalent to 3(22 + 54). Thank you for those who help me
Answer:
3×22+3×54
as there's bracket, so c is the answer
Answer:
C
Step-by-step explanation:
a number cubed decreased by 1 is equal to the product of the number and 12
Answer:
x³ - 1 = 12x
Step-by-step explanation:
A number cubed decreased by 1 is equal to the product of the number and 12
x³ - 1 = 12x
Mr. Jones bought a used car. He paid $2,400 plus sales tax. The sales
tax was 8%. How much did he pay in sales tax?
Answer:
Mr. Jones paid $192 in sales tax.
Step-by-step explanation:
8 x 2400 = 19200
19200/100 = 192
I need help ASAP rn please 6th grade math btw
Answer:
first
Step-by-step explanation:
A= r*pi*r = pi*r²
Answer:
A.
Step-by-step explanation:
The rearranged segments form a rectangle with length (pi)r and width r.
A = LW
A = (pi)r * r
A = (pi)r^2
Answer: A.
Plz help me well mark brainliest if correct!!....
Answer:
I'm pretty sure it is line plot
Click on the area of the square?
Answer:
The answer for this question is 64 square centimeters
Step-by-step explanation:
To find the area of square , the formula is :
side × side , so in this question we should do 8×8 , since one of the side is 8 cm .
8×8 = 64
Thus the answer of your question is 64
—————————————————
[tex]\mathrm{A = s²}[/tex]
[tex]\mathrm{A = (8 \: cm)²}[/tex]
[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]
[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]
Hence, the area of the square that has a side of 8 cm, is 64 cm².Remember!To find the area of a square, just use the formula "A = s²".HELP PLEASE BEING TIMED!
PICTURE IS POSTED BELOW
PLEASE SHOW WORK
Answer:
5
Step-by-step explanation:
if it's an equilateral triangle that means all sides are the same length
Find the value of x.
brainliestt
for righto
Answer:
Hello! answer: 13/16
Hope that helps!
PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS
find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5
Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Equation for the height:
The height of the bird after x seconds is given by:
[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]
Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].
When the bird is at its highest?
Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]
The bird will be at a ground distance of 10.04 units away.