Answer:
y = -3
Step-by-step explanation:
TO FIND :-
Value of yFACTS TO KNOW BEFORE SOLVING :-
A simple law of exponents which will be used to solve the problem :-
[tex]x^a \times x^b = x^{a+b}[/tex].SOLUTION :-
[tex]3^3 \times 3^{(y-2)} = 3^{-2}[/tex]
[tex]=> 3^{3+y-2} = 3^{-2}[/tex]
[tex]=> 3^{y+1} = 3^{-2}[/tex]
Bases are same in both sides of equation. So , their powers must be equal to each other.
[tex]=> y + 1 = -2[/tex]
[tex]=> y = -2 - 1 = -3[/tex]
Please help me I am insanely confused!!! PLEASEEEEEEEEEEEEEEEE
Answer:
340.4 in³
Step-by-step explanation:
volume= (½× 8 × 6.9 × 10) + (⅓×½×8×6.9×7)
= 276 + 64.4 = 340.4 in³
Can someone help me please
Answer:
12
Step-by-step explanation:
1:3 multiply them by 4 for 4 juice cans
Answer:
The answer would be A, 12.
Step-by-step explanation:
The ratio of juice to water is 1:3. 1 being the amount of juice, and 3 being the amount of water. If Maria used 4 cans of juice, that makes the new ratio 4:w. W can stand for the amount of water. 1x4=4 so we can multiply 3x4=12.
Mark brainliest please! :)
In the figure below, UV is best described as _____.
Answer:
Segment
Step-by-step explanation:
Its only part of the line.
Answer:
The answer is ray
Step-by-step explanation:
What is the surface area of the rectangular pyramid below? B = 4.8 m
Answer:
625 unit²
Step-by-step explanation:
Surface area of a rectangular pyramid :
Area of base * 4(area of triangular side)
Area of base = length * width
Area of base = 15 * 15 = 225
Height of triangular side = 15
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 *15 * 15 = 112.5 unit²
Surface area = 225 + 4(112.5)
Surface Area = 225 + 450
Surface Area = 625 unit²
The quality-control manager at a compact flourescent light bulb factory wants to test the claim that the mean life of a large shipment of cfls is equal to 6500 hours. the population standard deviation is 500 hours. a random sample of 50 cfls indicates a sample mean life of 6,700 hours and sample standard deviation is 600 hours.
Critical values, where P(Z > Z) - a and P(t >) - a 2016-1282 20.06-1645 20.02 -1.960 10.10. - 1.299 10.06.45 - 1677 foto - 2010 1.115 pt.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 6,500 hours?
b. Compute the p value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the CFLs.
d. Compare the results of (a) and (c). What conclusions do you reach?
Answer:
a. At the 0.05 level of significance, there is evidence that the mean life is different from 6,500 hours.
b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .
The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.
c. CI [6583.336 ,6816.336]
d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.
Step-by-step explanation:
Population mean = u= 6500 hours.
Population standard deviation = σ=500 hours.
Sample size =n= 50
Sample mean =x`= 6,700 hours
Sample standard deviation=s= 600 hours.
Critical values, where P(Z > Z) =∝ and P(t >) =∝
Z(0.10)=1.282
Z(0.05)=1.645
Z(0.025)=1.960
t(0.01)(49)= 1.299
t(0.05)= 1.677
t(0.025,49)=2.010
Let the null and alternate hypotheses be
H0: u = 6500 against the claim Ha: u ≠ 6500
Applying Z test
Z= x`- u/ s/√n
z= 6700-6500/500/√50
Z= 200/70.7113
z= 2.82=2.82
Applying t test
t= x`- u /s/√n
t= 6700-6500/600/√50
t= 2.82
a. At the 0.05 level of significance, there is evidence that the mean life is different from 6,500 hours.
Yes we reject H0 for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645
For t test we reject H0 as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.
b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .
The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.
c. The 95 % confidence interval of the population mean life is estimated by
x` ± z∝/2 (σ/√n )
6700± 1.645 (500/√50)
6700±116.336
6583.336 ,6816.336
d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.
A 2-column table with 5 rows. Column 1 is labeled Evelyn's Scores with entries 125, 137, 138, 145, 145. Column 2 is labeled Distance from the Mean with entries x, y, 0, 7, z.
What is the mean absolute deviation of Evelyn’s scores?
5.1
5.6
5.8
7
Answer:
Column 1(X) Column 2(mean - X)
125 -13
137 -1
138 0
145 7
145 7
Mean = 138
Mean Absolute Deviation : 5.6
Answer:
for all the lazy readers on top the answer is.. B. 5.6:)
Step-by-step explanation:
Help! no links please and thank you
Answer:
B is your answer
Step-by-step explanation:
(50.40 + 309.60) divided by 144 = 2.50
A group of friends had 28 driveways to shovel. If one of them shoveled 1/4 of the driveways, how many driveways did he shovel.
Answer: 7
Step-by-step explanation:
Since we are given the information that a group of friends had 28 driveways to shovel and that one of them shoveled 1/4 of the driveways.
The number of driveways that he shovel will be:
= 1/4 × 28
= 7
Therefore, he shovel 7 driveways.
Learning Task No.2
A. Find the missing terms and write the rules.
1. 5,6,8,15
2. 18,20,24_38
3. 14, 17, 20,23,
4. 24, 30, 36, 42,
5. 1, 10, 100,
Answer:
See Explanation
Step-by-step explanation:
Required
Complete the term and identify the rule
[tex](a)\ 5, 6, 8, [], 15[/tex]
We have:
[tex]5 + 1 = 6[/tex]
[tex]6 + 2 = 8[/tex]
[tex]8 + 3 = 11[/tex] --- Missing term
[tex]11 + 4 = 15[/tex]
The rule is:
Add current term to the position of term
i.e.
[tex]T_{n+1} = T_n + n[/tex]
[tex](b)\ 18, 20, 24, [], 38[/tex]
We have:
[tex]18 + 2*1 = 20[/tex]
[tex]20 + 2*2 = 24[/tex]
[tex]24 + 2 * 3 = 30[/tex] --- Missing term
[tex]30 + 2 * 4 = 38[/tex]
The rule is:
Add current term to twice the position of term
i.e.
[tex]T_{n+1} = T_n + 2 *n[/tex]
[tex](3)\ 14, 17, 20, 23, [][/tex]
We have:
[tex]14 + 3 = 17[/tex]
[tex]17 + 3 =20[/tex]
[tex]20 + 3 = 23[/tex]
[tex]23 + 3 = 26[/tex] --- Missing term
The rule is: Add 3
i.e.
[tex]T_{n+1} = T_n + 3[/tex]
[tex](4)\ 24, 30, 36, 42, [][/tex]
We have:
[tex]24 + 6 = 30[/tex]
[tex]30 + 6 = 36[/tex]
[tex]36 + 6 = 42[/tex]
[tex]42 + 6 = 48[/tex] --- Missing term
The rule is: Add 6
i.e.
[tex]T_{n+1} = T_n + 6[/tex]
[tex](5)\ 1, 10, 100[/tex]
We have:
[tex]10^0 = 1[/tex]
[tex]10^1 = 10[/tex]
[tex]10^2 = 100[/tex]
[tex]10^3 = 1000[/tex] -- Missing term
The rule is: 10 to the power of current position
i.e. [tex]T_n = 10^n[/tex]
hellpppppppppspspspspspspsp
I'd say 13, hope this helps
Step-by-step explanation:
Find the measure of the angle, round to the nearest tenth: Cos Y = .5736
Answer:
Y ≈ 54.998°
Step-by-step explanation:
Cos Y = .5736
=> Y = [tex]cos^{-1}[/tex](.5736)
=> Y ≈ 54.998
a food company can produce 732,291,285crackers per hour. A second food company can produce 732,341,285 crackers per hour.Which company can produce more crackers per hour. explain how you found your answer
Answer:
the second company
Step-by-step explanation:
the second company produces 50,000 more crackers an hour than the first company
What type of function is shown on the table?
A
Linear
B
Quadratic
с
Exponential
What are satellites
Answer:
A satellite is a moon, planet or machine that orbits a planet or star. ... Usually, the word "satellite" refers to a machine that is launched into space and moves around Earth or another body in space. Earth and the moon are examples of natural satellites. Thousands of artificial, or man-made, satellites orbit Earth.
Step-by-step explanation:
True or false: The equation below is too complicated to use the "isolate the
radical, then square both sides" method to simplify.
Answer: False
=============================================================
Explanation:
The radical is one step away from being fully isolated. We would apply the rule that [tex]\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}[/tex]
In this case,
[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}[/tex]
Meaning that the equation
[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} =3[/tex]
is the same as
[tex]\sqrt{\frac{x+3}{x-1}} = 3[/tex]
From here, we square both sides and use algebra to isolate x.
Determine the slope of each of the following linear relationships
picture below:
Answer:
a. 3/1? b. 4/3? c. 4/-16? d.no slope
Step-by-step explanation:
not sure but this is my best maybe i mixed something but this is it!
1. There are 3,768 books on the library wall.
There are 24 rows of books, each with an equal
number of books. How many books are in each
row?
Answer:
157 books in each row
Step-by-step explanation:
24 rows=3768 books
1 row=3768/24 books
=157 books
Therefore,Each row contains 157 books
Mark this answer as brainliest....
Help plz:)))I’ll mark u Brainliest
Answer:
10 ft away
Step-by-step explanation:
do pythagorean theorum
24^2 + b^2 = 26^2
576 + b^2 = 676
*subtract 576 from both sides*
b^2 = 100
*find square root of 100*
b = 10
Distributive Property
4(5x + 1)
Answer:
20x+4
Step-by-step explanation:
4×5x=20x (Because 4×5 is 20 and just ignore the "x" for now)
4×1=4
What is the surface area
Answer:
42cm
Step-by-step explanation:
Answer:
[tex]10 \times 5 = 50 \\ because \: a there \: are \: three \: of \: them \: we \: need \: to \: = \\ 50 \times 3 = 150 \\ for \: triangles = \\ 4 \times 5 \div 2 = 20 \div 2 = 10 \\ as \: far \: as \: we \: have \: two \: triangles = \\ 10 \times 2 = 20 \\ 20 + 150 = 170 \\ the \: surface = 170[/tex]
swag on ha dragga dab dab dab
Answer:
8 1/2
Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!!
Answer:
6. peach , plum, crab apple
7. pepper tree, common apple, pear
8. because the graph is lowered And that the boxes are needed to go higher to get to the other numbers and the graph is misleading and etc.
9. black cherry, magnolia, live oak, sweet cherry.
10.because the graph is lowered And that the boxes are needed to go higher ot get to the other numbers and the graph is misleading
Step-by-step explanation:
I don't really understand 8 and 10 so this all i got
2
Jerry flips a coin and rolls a six-sided die. What is the probability of getting heads on the coin and an odd number on the die?
A. 1/4
B. 1/2
C. 1/3
D. 1/12
Jenny had 7 dimes and 3 pennies in her She takes a coin out from her pocket, looks at the coin and then replaces it her pocket before she removes a second coin. What is
the probability she will not take out a penny both times?
F. 3/10
G. 9/100
H. 49/100
J. 21/100
=========================================================
Explanation:
There are 7 dimes and 3 pennies, leading to 7+3 = 10 coins total.
The probability of not picking a penny is 7/10. If the first coin is put back, then the probability doesn't change for the second selection.
The probability of getting two dimes is (7/10)*(7/10) = 49/100 when the first coin is replaced.
If the first coin is not replaced, then the answer would be (7/10)*(6/9) = 42/90 = 7/15
Is anyone good at geometry if so can someone help me please ?
NO LINKS PLEASE
Answer:
D
Step-by-step explanation:
Answer:
question one is D I think
What is the area of the triangle?
Answer:
21
Step-by-step explanation:
Add 5.3 + 1.7 and you get 7 (7 is the base of the triangle). Multiply 7 by the height (6) and you get 42. When you put 2 triangles together, it will create a quadrilateral. "Cut the quadrilateral in half" and you will get your triangle's area. The area is 21 :)
Answer:
53.9 square units was my answer, but I learned that it was 21 !
HELP
WILL GIVE BRAINLIST
FOR MATH
...
.
.
.
.
.
.
Answer:
20 cyclists
Step-by-step explanation:
In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years
Answer:
if each bicycle is ten go by multipls of 10
it's in 2007
and of you count by 10 that's 20
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.2
Step-by-step explanation:
a^2+b^2=c^2
7.6*7.6=57.76
3.2*3.2=10.24
57.76+10.24=68
square root of 68= 8.2
How many pints are in 5 gallons? Enter only a number. Do not include units.
The solution is____
Answer:
0 because it's purified water :)
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
answer is right there, you only asked for a number.
Find the diameter of each circle.
answer:
2. 10 km
4. 20 km
step-by-step explanation:
multiply the radius by 2 to find the diameter2 — 5 X 2 = 10 km
4 — 10 X 2 = 20 km