Answer:
The null hypothesis is [tex]H_0: \mu = 13[/tex]
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).
This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:
[tex]H_0: \mu = 13[/tex]
4) Jenee made a 99, 86, 76, and 95 on her first four spelling tests. Her mother told her
that her spelling test average had to be a 91 for Jenee to get a new video game. What
does Jenee need to make on her next test?
Answer: She needs to get 99 on her next test.
Step-by-step explanation:
Brainliest pls help
Find the surface area and volume of the prism. Round your answer to nearest tenth.
With this prism, first separate it into a rectangular prism and a right triangle prism.
First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3
The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.
With this, plug the numbers in for both prisms to get the volume of each of them:
Rectangular prism Volume
5*5*6.3
157.5
Right triangle prism Volume
(3*5*6.3) / 2
94.5 / 2
47.25
Lastly, combine these two values to get the total volume:
157.5 + 47.25 = 204.75 (Round Up) -->
204.8 cm^3 = Total Volume
Surface Area:Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.
First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:
8 * 6.3 = 50.4
Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.
5.8 * 6.3 = 36.54
Then, the top side with the lengths 5cm and 6.3 cm.
5.3 * 6.3 = 33.39
After that, the left side face that opposite to the slantly one:
5 * 6.3 = 31.5
Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:
1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).
So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:
1/2 x (5+8) * (5)
1/2 x (13) * (5)
1/2 x (65)
32.5
Since there's two of them, times this by 2:
32.5 * 2 ---> 65.
Now, with the area of all of the faces, these can be added up for the total surface area:
50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->
216.8 cm^2 = Total Surface Area
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
I really need help guys!
Determine the amplitude of the trigonometric function: *attached image*
Answer:
[tex]\displaystyle 2[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]
As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle 2\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle 2\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.[/tex]Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle \frac{1}{2}\:unit[/tex]to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{2}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-2\frac{1}{2}, \frac{1}{2}],[/tex]from there to [tex]\displaystyle [3\frac{1}{2}, \frac{1}{2}],[/tex]they are obviously [tex]\displaystyle 6\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = \frac{1}{2},[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Problem ID: PRAFJA9
Look at this graph.
What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)
Answer:
10/4
Step-by-step explanation:
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?
Answer: - $6.75
Step-by-step explanation:
pls help me
Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle
Answer:
c.prism is not solid figure
Answer:
rectangle
Step-by-step explanation:
rectangle isn't a solid figure
Look at the figure. How can you prove the triangles are congruent?
Answer:
SSS - The two triangles share all 3 sides, proving they are congruent.
Step-by-step explanation:
Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.
Step-by-step explanation:
In triangle ABD In triangle CBD
AB. = BC. [Given]
AD. = CD. [Given]
BD. = BD. [Common side]
Therefore,
According to SSS Congruence condition
Triangle ABD is congruent to Triangle CBD
PLEASE HELLLLLLP NO FAKE ANSWERS
Answer: p= -3,2
q= -3,8
R= -8,8
s=-8,2
Step-by-step explanation:
solve the system:
3x-2y=1 2x+5y=3
a.) x=1, y=1
b.)x=-1,y=-1
c.)x=11/19, y= 7/19
d.)x=-19/2,y=22/5
e.)x=17/3, y=8
Which equation is true?
9 × 8 = 8 × 9 equation is true
If the diameter is 111ft then the radius is
Answer:
55.5 is the I guess........
Find the area of composite figure
Answer:
c
Step-by-step explanation:
Can someone please help me ASAP
When writing a summary about the theme you should....
A
Include the theme in the first sentence.
B
Write what the message shows you.
C
Write details about the story.
D
All of the above.
Answer: D, All of the above
Step-by-step explanation:
Find the x-intercepts of the parabola with
vertex (3,4) and y-intercept (0,-5).
Write your answer in this form: (X1,41), (X2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.
4/5+ 2/3 =? pls help i'm.in 5th grade
Answer:
2/15
Step-by-step explanation:
Write the equation of the line passing through the given points.
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
What is the value of 0.5–0.05? Write your answer as a fraction in lowest terms.
Answer:
Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...
Step-by-step explanation:
!!!
0.5–0.05= 0.45
0.45 In fraction form is Simply:
9/20 (And that's on lowest terms!)
If you would want it in percentage form to that would simply be:
45%
Have A Nice Day!!!!
~Pinky~
The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.
The given expression is: 0.5–0.05
Subtract 0.05 from 0.05
0 . 5 0
-0. 0 5
0 . 4 5
So, 0.5–0.05 = 0.45
Multiply and divide by 100 we get,
[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]
Divide both the numerator and denominator by 5 we get,
[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]
Hence,
0.5–0.05 in the lowest fraction is 9/20.
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Single Factor ANOVA is a method we use when we want to compare a quantitative variable among more than two categories.
a. True
b. False
Answer:
The given statement is "True".
Step-by-step explanation:
A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.
Systemic components Random componentsIf relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.
Thus the above is the true answer.
Whats the Diameter? I really need help understanding this
Answer:
1.8 in.
Step-by-step explanation:
Hi there!
1) Determine the radius of the base
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone
Plug in the known values (h=4.2, V=3.6)
[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]
Isolate r; divide both sides by 4.2
[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]
Multiply both sides by 3
[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]
Divide both sides by π
[tex]\frac{18}{7\pi }=r^2[/tex]
Take the square root of both sides
[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]
2) Determine the diameter
Now that we have the radius, to find the diameter, multiply r by 2:
[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]
Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.
I hope this helps!
Answer:
1.8 in
Step-by-step explanation:
we know the equation for the volume of a cone is pi*r^2 h/3=3.6
pi r^2 *4.2=10.8
solve for r
r is about 0.9 so diameter is 1.8 in
Angle Relationships
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle to 38°
a. 0.68
b. -0.16
c. -0.22
d. 0.62
Please select the best answer from the choices provided
Answer:
D. 0.62
Step-by-step explanation:
I calculated it logically
peepeepoopooo I need help please
Answer:
16.9
Step-by-step explanation:
We can use a proportion also in this case
51.6 : 23 = 38 : NO
NO = (38 x 23)/51.6 = 16.9
in desperate need of help please :/
Answer:
since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).
If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.
If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam. now put that in to 13 miles
Step-by-step explanation:
Help set up the equation :D the answer in the answer box is wrong
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
The first step in solving a problem is to write a let statement
Answer:
whats this? can you provide more context?
Step-by-step explanation:
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam