Answer:
a. Using a t-test you conclude that both types of bulbs have different mean service life at the 5% level.
Step-by-step explanation:
The t test will be used as
1) the sample size is less than 30
2) the population standard deviation is knows and is s= √200= 14.142
Using the test statistic
t= x- u/ s/ √n
t= 960-980/ 14.142/ √20
t= -0.316
It is one tailed test as the claim is
H0: u ≥ 980 and the alternate hypothesis is Ha : u< 980
The critical region for one tailed test with n-1 = 20-1 = 19 degrees of freedom is t < 1.729 for ∝= 0.05
The critical region for one tailed test with n-1 = 20-1 = 19 degrees of freedom is t < 2.539 for ∝= 0.01
Since the calculated value of t= -0.136 falls in the critical region we conclude that the null hypothesis is false and the average life of the bulbs is less than 980. We accept the alternate hypothesis.
Only choice a is correct.
For the diagram shown, find the measures of angles 4,5, and 6.
Answer:
wheres the diagram???
Step-by-step explanation:
Which combination of shapes can be used to create the 3-D figure?
a 3D figure with bases that are congruent regular polygons with 8 sides that are connected by congruent polygons which have a length greater than their width
Two regular octagons and eight congruent rectangles
Two regular pentagons and five congruent squares
Two regular octagons and eight congruent squares
Two regular pentagons and five congruent rectangles
A 3-D figure is a shape that its three surfaces can be observed at the same time. Therefore, required answer to the given question is: A. Two regular octagons and eight congruent rectangles.
When the length, width and height of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.
Thus, since the 3-D figure required in the question has two bases in the shape of regular octagon, which should have 8 sides connected by congruent polygons of length greater than their width.
This implies that the sides of the figure must be made up of eight congruent rectangles, because the 3-D figure has eight regular sides (which would be the width of the rectangles). Then, the height of the figure would be the length of the rectangles.
So, the correct option to the given question is A. Two regular octagons and eight congruent rectangles.
A sketch is attached to this answer for more clarifications.
For reference: https://brainly.com/question/12504553
Answer:
Two regular octagons and eight congruent rectangles
Step-by-step explanation:
Based on the picture in my test, I am positive the description and the picture are of the same thing. In the picture, I can see eight congruent rectangles and two octagons. I also got this right on my test.
picture of object:
In ΔFGH, g = 340 cm, f = 240 cm and ∠F=139°. Find all possible values of ∠G, to the nearest degree.
Answer:
No possible triangles
Step-by-step explanation:
Deltamath
What is the area of a triangle with vertices (1,0) (5,0) (3,4)
Answer:
The area of the triangle is of 8 units of area.
Step-by-step explanation:
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is given by the determinant of the following matrix:
[tex]A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|[/tex]
In this question:
Vertices (1,0) (5,0) (3,4). So
[tex]A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|[/tex]
[tex]A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)[/tex]
[tex]A = \pm 0.5*(20-4)[/tex]
[tex]A = \pm 0.5*16 = 8[/tex]
The area of the triangle is of 8 units of area.
What is the answer pls it’s for a grade
Can some one please help me find the solution of the question
Answer:
x=16°
Step-by-step explanation:
tanθ=opposite/adjacent
tan(<CAB)=BC/AB
<CAB=tan⁻¹(21/29)=35.9097308°
tanθ=opposite/adjacent
tan(<DAB)=BD/AB
<DAB=tan⁻¹((21/2)/29)=19.90374954°
<CAB=<DAB+x
x=<CAB-<DAB
=35.9097308-19.90374954
x=16.00598126°
1
When rolling two number cubes, what is the probability of rolling at least one 6?
А
12
36
С
6
36
B
11
36
D
1
36
Answer:
The answer is D.
ab" that goes through points (0,9)
Write an exponential function in the form y
and (5,2187)
9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
What is the base and the volume?
Question:
What is the base and the volume?
Answer:
557Step-by-step explanation:
(12 x 12) + (12 x 12) + (17 x 17) =557
Help plz need to pass
Answer:
The answer would be 792
Step-by-step explanation:
Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.
An automobile manufacturer has developed a new compact automobile. A random sample of 64 of the new automobiles showed that the automobiles had a sample mean mileage of 28.75 miles per gallon and a sample standard deviation of 3.4 miles per gallon. a) Find the 95% confidence interval for the population mean mileage, and state your conclusion. b) Find the 98% confidence interval for the population mean mileage, and state your conclusion.
Answer:
The 95% confidence interval for the population mean mileage is
(27.917, 29.593)
The 98% confidence interval for the population mean mileage
(27.737, 29.762)
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 64
Given that the mean of sample x⁻ = 28.75miles
Given that the standard deviation of the sample (S) = 3.4 miles
Degrees of freedom = n-1 = 64-1 =63
t₀.₀₅ = 1.9983
Step(ii):-
95% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 0.845 , 28.75 + 0.845)
(27.917 , 29.593)
Step(iii):-
98% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 1.01252 , 28.75 + 1.01252)
(27.737 , 29.762)
Final answer:-
98% confidence interval for the population mean mileage is
(27.737 , 29.762)
Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD
such that m∠ABD = 2x+3, m∠CBD = 4x+7, and m∠ABC = 40°. Based on this information,
would you ask for section 1 or section 2 (you have to pick one) for dessert? Provide numerical
evidence to back up your choice. Explain your reasoning and your methods.
Answer:
Section 2
Step-by-step explanation:
I will pick the section with the largest angle.
Let's determine the size of the angle of each section.
Given:
m∠ABD = 2x+3,
m∠CBD = 4x+7,
m∠ABC = 40°
Thus:
m<ABD + m<CBD = m<ABC (angle addition postulate)
Substitute
2x + 3 + 4x + 7 = 40
Add like terms
6x + 10 = 40
6x + 10 - 10 = 40 - 10
6x = 30
6x/6 = 30/6
x = 5
✔️m∠ABD = 2x+3
Plug in the value of x
m<ABD = 2(5) + 3 = 13° (section 1)
✔️m∠CBD = 4x+7
m∠CBD = 4(5) + 7
m∠CBD = 27° (section 2)
✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.
What are the center and radius of a circle whose equation is:
(x−A)2+(y−B)2=C
Question options:
a)
Center: (−A,−B), radius = C
b)
Center: (−A,−B), radius =C −−√
c)
Center: (A, B), radius = C
d)
Center: (A, B), radius =C −−√
Answer:
d)
Step-by-step explanation:
Equation of circle with center at point (h, k) and radius, r.
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
This problem:
(x − A)^2 + (y − B)^2 = C
The center is (A, B).
The radius is sqrt(C).
Answer: d)
find the value for x y and z
Answer:
All triangles add up to 180 degrees so...
180 - 43 - 59 = 78 degrees.
So x - 78 degrees.
x and y are supplementary angles so...
180 - 78 = 102.
So y = 102.
180 - 102 - 49 = 29 degrees
So z = 29 degrees
Hope this helps!
Mandy and Randy are each playing with a beach ball. Mandy's ball has a diameter of 12 inches. Randy's ball has a diameter that is twice as large as Mandy's ball. How much larger is the volume of Randy's ball? Show and explain your reasoning.
Answer:
Randy's ball is 904.78 larger than Mandy's.
Step-by-step explanation:
Using math, we find that Mandy's ball is 904.78 inches in volume and if Randy's is twice the size that's, 904.78 x 2 = 1809.56. so Randy's ball is 904.78 larger than Mandy's
Name two pairs of adjacent angles and two pairs of vertical
angles in the figure.
Answer:
1. adjacent: ∠ACB and ∠BCD.
vertical: ∠ACB and ∠ECDStep-by-step explanation:
Rachel cut a whole banana into 6 pieces and then ate all the pieces. She put a point on a number line to show how much she ate.
0
Which fraction is equal to the point shown on the number line?
z(x) is a function as defined below:
z(x) = x + 1
If you input a 3 into z(x), what do you get for the output?
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sheets. Juan has 350 sheets of paper which statement is true
Answer:
i think the question is incomplete but
Tina at an average contains each package of
50 sheets ÷ 8 pack
6.205 of sheet in each pack
125 sheets ÷ 3 packs
caz contain at average 41.60 sheet average
but where the juan packs of paper that's why question is incomplete
Miss Lin bought 40 raisin, butter and curry buns for a class party. The ratio
of the number of raisin buns to the number of butter buns to the number of
curry buns was 7:5:8. Find the number of curry buns Miss Lin bought.
Answer:
Number of curry buns is 16.
Step-by-step explanation:
Total number of buns =40.
Ratio of number of raisin buns to the number of butter buns to the number of curry buns = 7:5:8
Let number of raisin buns = 7X.
Let number of butter buns =5X.
Let number of curry buns = 8X.
Therefore,
7X+5X+8X = 40
20X = 40
X= (40/20) = 2.
Therefore number of curry buns =8X = 8×2 =16.
help me plissssss. “
Answer:
letter A because it's representing 100% plus some so it is increasing.
What is the value of x in the equation 4(2x + 12) = 0?
−8
−6
6
8
Answer:
-6
Step-by-step explanation:
4(2x+12)=0
8x+48=0
8x=-48
x=-6
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answer:
c
Step-by-step explanation:
Answer:
C) Corresponding Angles
Step-by-step explanation:
A corresponding angle is when two angles are occupying the same intersection. A vertical angle is B & C, and A & D.
Hope this helps!
The volume of a cylinder is 1761 square
centimeters and the height is 11
centimeters. Find the radius.
Answer:
7.14cm
Step-by-step explanation:
A yogurt costs 35p.
How many yogurts can be bought for three pounds?
Answer:
8 yogurts or it will be 1 yogurt
Step-by-step explanation:
Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...
pls help help help help
Answer:
1 and 1/6
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
Transfer 1/3 to 2/6 and add it with 5/6
Help me guyssssss skeks
Answer:
19
Step-by-step explanation:
|-8 -11|=19
Answer:
3
Step-by-step explanation:
when you have 2 negitives it makes a positive which cancelles it out and it equals 3
Which number rounds to 700 when rounded to the nearest hundred?
Answer:
C.
Step-by-step explanation:
Hope this helps! have a great day!
Evaluate each expression for the given value(s) of the variables(s).
Answer:
9. [tex] \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] \frac{1}{81} [/tex]
Step-by-step explanation:
9. [tex] x^{-4} [/tex]
Evaluate when x = 10.
Substitute x = 10 into the expression
[tex] 10^{-4} [/tex]
Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])
Thus:
[tex] = \frac{1}{10^4} [/tex]
[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] 2a^{-1}b^{-3} [/tex]
Evaluate when a = 6 and b = 3
Substitute
[tex] (2*6^{-1})(3^{-3}) [/tex]
Apply the negative exponent rule
[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]
[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]
[tex] \frac{2*1}{6*27} [/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Question : 9plugging the value of x as 10, we get
[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]
[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]
[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]
[tex] \longrightarrow\dfrac{1}{10000} [/tex]
[tex]\longrightarrow0.0001[/tex]
Question : 10plugging the value of
a as 6b as 3[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]
[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]
[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]
[tex]\longrightarrow \dfrac{2}{162} [/tex]
[tex]\longrightarrow \dfrac{1}{81} [/tex]
_____________________________
[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Solve the system.
9x2 + 4(y - 2)2 = 36
x² = 2y
Answer:
[tex]x =2[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 4(y - 2)^2 = 36[/tex]
[tex]x^2 = 2y[/tex]
Required
Solve
Substitute: [tex]x^2 = 2y[/tex] in [tex]9x^2 + 4(y - 2)^2 = 36[/tex]
[tex]9*2y + 4(y-2)^2 = 36[/tex]
[tex]18y + 4(y-2)^2 = 36[/tex]
Open bracket
[tex]18y + 4[y^2-2y - 2y + 4] = 36[/tex]
[tex]18y + 4[y^2-4y + 4] = 36[/tex]
Open bracket
[tex]18y + 4y^2-16y + 16 = 36[/tex]
Collect like terms
[tex]4y^2+18y-16y + 16 - 36 = 0[/tex]
[tex]4y^2+2y-20= 0[/tex]
Divide through by 2
[tex]2y^2+y-10= 0[/tex]
Expand
[tex]2y^2+5y - 4y-10= 0[/tex]
Factorize
[tex]y(2y + 5) - 2(2y + 5) = 0[/tex]
Factor out 2y + 5
[tex](y -2)(2y + 5) = 0[/tex]
Split
[tex]y - 2 =0\ or\ 2y + 5 = 0[/tex]
Solve for y
[tex]y =2 \ or\y = -\frac{5}{2}[/tex]
We have:
[tex]x^2 = 2y[/tex]
Make x the subject
[tex]x = \sqrt{2y[/tex]
The above is true for positive y values.
So: [tex]y =2[/tex]
This gives
[tex]x = \sqrt{2*2[/tex]
[tex]x = \sqrt{4[/tex]
[tex]x =2[/tex]