Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
Step(ii):-
Null hypothesis:H₀: μ = 43
Alternative Hypothesis: H₁: μ ≠ 43
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }[/tex]
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
Final answer:-
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Find the sum: (7b
-2) + (-4b + 5)
Answer:
[tex]=3b+3[/tex]
Step-by-step explanation:
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex], [tex]=7b-2-4b+5[/tex].
[tex]\mathrm{Group\:like\:terms}[/tex]:
[tex]=7b-4b-2+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:7b-4b=3b[/tex]
[tex]=3b-2+5[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-2+5=3[/tex]
[tex]=3b+3[/tex]
Which data set has a median of 15?
18, 9, 19, 16, 6, 20. 13
9, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
7,16, 14, 16, 11, 7, 17
Answer:
B - The second data set.
Step-by-step explanation:
The median is the number in the middle.
The first set's median is 16.
The second's is 15.
The third's is 14.
The fourth's is 16.
The answer is the second data set :)
Answer:
B
Step-by-step explanation:
B
You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 19 children present in your van. How many different groups of 7 children
can you drive?
How many different groups of 7 children can you drive?
Answer:
3
Step-by-step explanation:
The functions f and g are defined as follows.
g(x) = -2x3-5
f(x) = - 4x + 2
Find f (6) and g(-3)
Simplify your answers as much as possible.
Answer:
f(6) = -22, and g(-3) = 49
Step-by-step explanation:
f(x) = -4x + 2
f(6) = -4(6) + 2
f(6) = -24 + 2
f(6) = -22
I assume the 3 in g(x) = -2x3 -5 is cubed
g(-3) = -2(-3)^3 - 5
g(-3) = -2(-27) - 5
g(-3) = 54 - 5
g(-3) = 49
PLEASE HELP! I WILL GIVE YOU BRAINLIEST
Answer:
A(-3,-4)
B(-1,-2)
C(-4,-1)
Please Help Me i will do anything
A=4n
B=4n+-9
C=9n-4n
D=(n-36)4
E=4(n-9
f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)
Answer:
−4x^3+3x^2+5x−3.78
Step-by-step explanation:
:D
How many miles did Byron drive? Please do not guess!
=======================================================
Explanation:
The distance from his house to the gas station is 5 miles. We can find this by counting out the number of spaces between the two points (since the chart indicates that 1 unit = 1 mile). Or we can subtract the x coordinates to get 8-3 = 5. This only works because the y coordinates of each point are the same value.
To find the distance from the gas station to the market, we subtract the y coordinates this time. This only works due to the x coordinates being the same. We get a distance of 8-3 = 5 miles.
Overall, the total distance Byron drives is 5+5 = 10 miles.
PLEASE HELP!!!!!!!!!!
The Expression
12
3+9
is what:
A: Sum
B. quotient
C. difference
Answer:
Sum
Step-by-step explanation:
It needs 2 be 20 characters so dont mind me . . .
wait hol up i took the test again sorry um it quotient
X is proportional to ✓y where y>0 .
y is increased by 44%
work out the percentage increase in x
Answer:
20%
Step-by-step explanation:
x = k√y
Increase y by 44%. y becomes 1.44y.
x = k√(1.44y)
x = 1.2k√y
x went from k√y to 1.2k√y.
(1.2k√y)/(k√y) = 1.2
x is now 1.2 times greater than it was, so the increase in x is 20%.
Answer: 20%
what the value of 5'3
Put the lowest number on the left 2 0 -3 -4
Answer:
-4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2 :p ...........
Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?
Answer:
reflection reflection
Step-by-step explanation:
rotation doesn't make sense and there is no indication of a center of rotation.
so the obvious answer is reflection reflection
What is the complete factorization of the trinomial x^2-8x+16?
A.
(x – 4)(x – 4)
B.
(x – 2)(x + 8)
C.
(x – 1)(x – 16)
D.
(x + 4)(x – 4)
Answer:
A. (x-4)(x-4)
Step-by-step explanation:
Note that (x+a)(x+b)=x²+(a+b)x+ab.
Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.
Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).
We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.
So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).
What is the surface area of the triangular prism?
15 ft
15 ft
9 ft
40 ft
24ft
2001
2376
2592
4329
Answer: = 40 . 24
Step-by-step explanation:
A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.
2,001 square feet
2,376 square feet
2,592 square feet
4,320 square feet
Answer: b.
Step-by-step explanation: A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Rectangular side 1:
Length = 40 ft
Width = 24 ft
Surface Area = 40 · 24
Surface Area = 960ft
Rectangular side 2:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Rectangular side 3:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Triangular side 1:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
Triangular side 2:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
SURFACE AREA OF TRIANGULAR PRISM:
Add all surface areas found above
Surface area = 960 + 600 + 600 + 108 + 108
Surface area = 2376ft
someone help me pls
Answer:
x=10
Step-by-step explanation:
Both of the tangents will be equal.
6x+17=16x-8
or, 10x=25
So, x=2.5
Rounding to the nearest tenth is 10.
find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet
Answer: 91 ft
V = b x h
V = 13 x 7
V = 91
Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)
one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10
A bike tire advertises that it is designed to be used for at least 4,000 km of riding. If the diameter of the tire is 0.7 m, how many rotations of the tire against the ground is that guaranteed, to the nearest thousand? There are 1,000 meters in a kilometer.
Answer:
1820000 rotationsStep-by-step explanation:
Circumference of the tire:
C = πd = 3.14*0.7 = 2.198 mNumber of rotations:
4000*1000/2.198 = 1820000 (rounded)what is the probability of rolling an even number with one roll of a number cube?
Answer:
50% or 1/2
Step-by-step explanation:
There is an even amount of even and odd numbers on a number cube, therefor it is split half and half, giving you 50%.
50% or 1/2
(i may be wrong but i had this for a hw problem)
Half of a circular cake is left after a party. A piece of cake with a 25° angle is eaten. What is the angle in the piece that is left?
A. 155
B. 205
C. 165
D. 145
Answer:
its 155
Step-by-step explanation:
360/2
180-25
155
The 155° angle in the piece that is left if the piece of cake with a 25° angle is eaten option (A) is correct.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have half of a circular cake is left after a party.
A piece of cake with a 25° angle is eaten.
We know the circle is a complete revolution of lines that joins from a fixed point to point at a certain distance; makes an angle 0f 360°
half of a circular cake with an angle = 360°/2 ⇒ 180°
25° angle piece eaten, then the remaining left portion:
= 180° - 25°
= 155°
Thus, the 155° angle in the piece that is left if the piece of cake with a 25° angle is eaten.
Learn more about circle here:
brainly.com/question/11833983
The expressions 4(y−3) and 4y−12 are equivalent?
Answer:
Step-by-step explanation:
12*4*y
=
4(12y)
.......
The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dollars
Answer:
900
Step-by-step explanation:
135/7.5= x/50
cross multiply
7.5x=6750
x=900
Lola has 3 feet of ribbon. She needs to cut the ribbon into equal 2-inch strips
2
How many 2-inch strips can she cut from the 3 feet of ribbon?
2
A
15
B
90
C
21
D
145
Answer:
18
Step-by-step explanation:
1 ft=12in
3ft=36in
divide 36 by 2 and you get 18
4. Ms. Hwang started reading at 3:35 p.m. She finished reading at 4:16 p.m.
How many minutes did Ms. Hwang read?
Is the first answer correct and what's the next answer? Thanks
Answer:
First answer is correct and the answer for the second question is a = 30
The cost of dell personal computer is $40less than the cost of a gateway computer, while and epson computer cost $70 more than a gateway. If an order of three gateways, one dell and three espoused total $6820, what is the cost of each type of computer?
Answer:
Hiii I am srry I dont know the answer but have a nice day!!
Step-by-step explanation:
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes. Fast ill give so many points
Step-by-step explanation:
Hope this helped. X axis is horizontal and Y axis is Diagonal.
Criteria are the goals that a design must achieve. They are determined by what you want the cup to do. Criteria for the volume of the cup compartments have been decided for you. The volume is expressed in four different units: Volume cubic centimeters milliliters fluid ounces cups cold pack 150 150 5 0.6 drink compartment 600 600 20 2.5 total 750 750 25 3.1 Although the volume is set, the shape of the cup is up to you. There are no right or wrong answers. Do you want your cup to be tall and skinny or short and wide
Answer:
Criteria for my Cup:
I want my cup to be short and wide.
Step-by-step explanation:
a) By the way, a cup can be measured in volume. There are no tall and skinny cups. They are not attributes of a cup. However, a cup can be short (height). It can also be wide, usually measured in diameter and radius.
b) Data:
Volume cubic centimeters milliliters fluid ounces cups
cold pack 150 150 5 0.6
drink compartment 600 600 20 2.5
total 750 750 25 3.1
Dulce the dog loves to go on walks. Each morning she walks for 45minutes.She also goes for a 20 minute walk at lunch, and an evening stroll for 1 hour and 30 minutes. How long does she walk each day?
Answer:
2 hour and 35 minutes
Step-by-step explanation:
45 +20 = hour and 5 minutes
65+90=155 or 2 hour and 35 minutes
