Answer:
D. 50 yd³
Step-by-step explanation:
Volume of triangular pyramid = ⅓ * Base Area * height of pyramid
Base area = ½*b*h = ½*6*5
Base area = 15 yd²
height of pyramid = 10 yd
Volume of the triangular pyramid = ⅓*15*10
Volume of the triangular pyramid = 5*10
= 50 yd³
20 POINTS!!
Suppose that, based on a sample, the 95% confidence interval for the mean of
a population is (23,39). What was the mean of the sample?
A. 31
B. 37
C. 35
D. 33
Answer: 31
Step-by-step explanation: just took the test
which undefined term can contain parallel lines?
School is almost over pls help
Answer:
3. pollution
4. the land becomes fertile
answer 2 and 3. Look at the image
Answer:
answers below. Let me know if anything didn't make sense. You definitely need to make sure you understand so you can put it into your own words.
Step-by-step explanation:
2a: The fraction bar for 4/5 would be more full. if you cannot picture ityou may just have to draw it. use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.
2b: 4/5 > 4/7
2c: The idea is that as the denominator gets larger, those 4 pieces take up less and less space. Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7 It ight be easier to envision something like 1/2 and 1/4. Two 1/4s would make 1/2, so 1/4 is less than 1/2.
3a: You could try thinking in percents or decimals. 1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%. Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.
3b: the easyness is shown in my second idea in 3a. it's super easy to cut a number in half. it will either be a whole number or a number with .5 at the end. then you can tell if your other fraction is bigger or smaller than 1/2
Translate and solve: 82% of what number is 369?
Answer:
82% of what number is 369
82% of 450 is 369
Answer:
number is 450
Step-by-step explanation:
let the number be x
82% of x=369
[tex]\frac{82}{100}[/tex]x = 369
82x=369*100
x=36900/82
x=450
City A is due north of City B. Find the distance between City A ( north latitude) and City B ( north latitude). Assume that the radius of Earth is 3960 miles.
The distance between City A and City B is ___miles.
Can someone help?! Show me step by step how this is done that I can understand it better.
=========================================================
Explanation:
The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.
We can convert to purely degrees through using this formula here
[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]
So,
[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]
and similarly,
[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]
Now subtract the two results we got
47.06667-22.76667 = 24.3
The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.
The circumference of the earth is
C = 2*pi*r
C = 2*pi*3960
C = 24,881.4138164311
which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.
So (24.3/360)*24,881.4138164311 = 1,679.4954326091
This rounds to 1679
The distance between the two cities is about 1679 miles.
9514 1404 393
Answer:
1679 miles
Step-by-step explanation:
One minute is 1/60 of a degree, so the difference in latitudes is ...
47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees
The arc length is given by ...
s = rθ . . . . . . r = radius, θ = angle in radians
180° is π radians, so the surface distance between the two cities is ...
s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi
The distance between City A and City B is about 1679 miles.
_____
Additional comment
As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.
What is the slope of the line in the graph?
The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.
Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
17
Answer: The missing angle is 32 degrees.
Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180
Hope this helps! :)
Write an inequality representing the following phrase:
Three more than five times a number t is less than thirty.
Answer:
5t + 3 < 30
Step-by-step explanation:
Five times a number t is 5t.
Three more just means add 3 more to your first term (in this case it's 5t).
Less than thirty means not less than or equal to 30 but just less then 30.
what is the solution of the equation 3x=12 round your answer to the nearest ten thousandth
Answer:
2.2916
Step-by-step explanation:
Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying
Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)
Answer:
its B homie
Step-by-step explanation:
U stuped
II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097
Answer:
53degrees
Step-by-step explanation:
Find the diagram attached
<PQR = 75degrees
From the diagram'
<SQR + <PQS = <PQR
<SQR + 22 = 75
<SQR = 75-22
<SQR= 53degrees
Hence the measure of <SQR is 53degrees
The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
Which statement is true?
1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.
2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.
3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.
4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.
Answer:
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3
Step-by-step explanation:
edg2020 thank me latter
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
We have,
The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.
To compare the growth rates of the two functions, we can look at their derivatives.
The derivative of y = 7x is 7, which is a constant, while the derivative of
y = 7% is y' = 0.07y, which is proportional to y.
Now,
For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.
This eliminates options 1 and 3.
For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.
This eliminates option 2.
Thus,
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
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(2x+8)-(x-8) PLS HELP
A big cargo box measures 12 m by 6 m by 5 m. How many small boxes of 40 cm by 25 cm by 10 cm can be put into the cargo box?
Given : Big cargo box measures 12m x 6m x 5m
Volume of the Box : Length x Breadth x Height
Volume of the Big cargo box : (12 × 6 × 5) = 360 m³
We know that : 1m = 100cm
Volume of the Big cargo box : 360 (100cm)³
Volume of the Big cargo box : 360 × 100³ × cm³
Given : Small box measures 40cm x 25cm x 10cm
Volume of the Small box : (40 × 25 × 10) = 10000 cm³
Small boxes which can be put into Big cargo box :
[tex]\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}[/tex]
[tex]\sf{\implies \dfrac{360 \times 100^{3}}{10000}}[/tex]
[tex]\sf{\implies {36000}[/tex]
Answer : 36000 small boxes can be put into Big cargo box
If two cards are randomly selected, what is the probability of drawing any one suit first, followed by drawing a face card
Answer:
0.0181 = 1.81% probability of drawing a suit first, and then a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of drawing a suit first:
4 out of 52 cards are suits, so:
[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]
Followed by drawing a face card:
Considering a suit was drawn, there will be 12 faces in the 51 remaining cards. So
[tex]P(B|A) = \frac{12}{51}[/tex]
What is the probability of drawing a suit first, followed by drawing a face card?
[tex]P(A \cap B) = P(A) \times P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{12}{13*51} = 0.0181[/tex]
0.0181 = 1.81% probability of drawing a suit first, and then a face card.
if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur
serian 144 apretones de manos en total
Answer:
66
Step-by-step explanation:
hope it helps :)
A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Answer:
Step-by-step explanation:
From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.
PLS HELP WILL GIVE BRAINLIAST !!!
Answer:
32.5 feet long and 20 feet wide
Step-by-step explanation:
To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.
Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.
For this line 3x−4y−12=0, which statement is true? 1- The x-intercept is 4, and the y-intercept is 3. 2-The x-intercept is 4, and the y-intercept is -3 3-The x-intercept is 3, and the y-intercept is -4. 4-The x-intercept is 3, and the y-intercept is 4.
9514 1404 393
Answer:
2. The x-intercept is 4, and the y-intercept is -3
Step-by-step explanation:
The given equation is in general form. I find it easier to see the intercepts when the equation is written in standard form:
3x -4y = 12
Setting y=0 and solving for x, we have the x-intercept:
3x = 12 ⇒ x = 12/3 = 4
Setting x=0 and solving for y, we have the y-intercept:
-4y = 12 ⇒ y = 12/-4 = -3
The x-intercept is 4; the y-intercept is -3.
PLEASE HELP!!! WHOEVER GETS THE ANSWER RIGHT GETS BRAINLIEST!!!
There is 4 X so you use 360- (11+1) which is 348 and now divide by 4 which is now 87
Thank you for askingFrom Cambridge
Answer:
42
Step-by-step explanation:
3x+1+x+11 = 180
4x+12 = 180
4x= 180-12
4x=168
x = 168/4
x = 42
The proportion of all high school students who watch national news is p = 0.47. A random sample of 50 high school students is selected. Which of the following is the mean of the sampling distribution of p hat ? Mu Subscript p hat = p = 0.47 Mu Subscript p hat = n p = 50 (0.47) = 23.5 Mu Subscript p hat = 1 minus p = 1 minus 0.47 =0.53 Mu Subscript p hat = n (1 minus p) = 50 (1 minus 0.47) = 26.5
The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p = 50 (0.47) = 23.5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The proportion of all high school students who watch national news is p = 0.47.
And, A random sample of 50 high school students is selected.
Hence, By definition we get;
The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p
= 50 (0.47)
= 23.5
Thus, The mean of the sampling distribution of p hat is,
⇒ Mu Subscript p hat = n p = 50 (0.47) = 23.5
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True or False It is never sensible to calculate more than 100% of a number.
Answer:
False
Hope this helps!
How is the graph below misleading?
different widths of the bars
too large of increments used
y-axis doesn't begin at zero
broken y-axis
Answer:
A is the right answer
Step-by-step explanation:
the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A
Answer:
different widths of the bars
Step-by-step explanation:
the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken
the widths of the bars are visibly different, so that answer makes the most sense.
How many 1/3 servings are in 36 servings?
Answer:
108
Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108
Answer:
108 of 1/3 servings are in 36 servings.
Step-by-step explanation:
3/1 multiples 3 become 1.
1 multiple 36 and equal 36,
so,3 multiple 36.
3×36=108
Which list of numbers are valid for both inequalities?
3
0
2
5
8
7
O -1, 0,1
O 0,1,2
0 -1,0, 1, 2
0 -3, -2,-1, 0, 1, 2, 3, 4
Answer:
-3, - 2, - 1, 0, 1, 2, 3, 4
Step-by-step explanation:
The blue line of the number line can have its inequality range written as :
Since both startibg and endpoints are shaded :
-1 ≤ x ≤ 4
The red line can also be written as :
Only the start is shaded:
-3 ≤ x < 2
Listing out the values :
Blue line :-1 ≤ x ≤ 4
-1, 0, 1, 2, 3, 4
The red line : -3 ≤ x < 2
-3, - 2, - 1, 0, 1, 2
Combining both values :
-3, - 2, - 1, 0, 1, 2, 3, 4
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
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someone please help marking brainliest
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
yes
Step-by-step explanation:
the difference of mean is 10.5
the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.
using this info we can infer that Mr.C uses 10-11 more textbooks monthly