Which expression is equivalent to -2(1 - 4n)?
Answer:
-2+8n
Step-by-step explanation:
we can distribute the -2 inside the parentheses to find an equivalent expression.
-2(1-4n)
(-2)(1)+(-2)(-4n)
-2+8n
there's your answer!
A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of two-person families in this town is given in the file. Assume the national average amount spent on food for a four-person family is $150.
a. Identify the null and alternative hypotheses for this situation.
b. Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
c. For which values of the sample mean (e.g., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? For which values of the sample mean would you reject the null hypothesis at the 10% level?
Family Weekly food expense
1 $198.23
2 $143.53
3 $207.48
4 $134.55
5 $182.01
6 $189.84
7 $170.36
8 $163.72
9 $155.73
10 $203.73
11 $191.19
12 $172.66
13 $154.25
14 $179.03
15 $130.29
16 $170.73
17 $194.50
18 $171.14
19 $175.19
20 $177.25
21 $166.62
22 $135.54
23 $141.18
24 $158.48
25 $159.78
26 $157.42
27 $98.40
28 $181.63
29 $128.45
30 $190.84
31 $154.04
32 $190.22
33 $161.48
34 $113.42
35 $148.83
36 $197.68
37 $135.49
38 $146.72
39 $176.62
40 $154.60
41 $178.39
42 $186.32
43 $157.94
44 $116.35
45 $136.81
46 $195.58
47 $129.44
48 $146.84
49 $165.63
50 $158.97
51 $210.00
52 $175.46
53 $159.69
54 $154.56
55 $152.95
56 $177.30
57 $129.23
58 $127.40
59 $167.48
60 $183.83
61 $157.39
62 $163.24
63 $165.01
64 $137.43
65 $177.37
66 $142.68
67 $150.04
68 $161.44
69 $166.13
70 $190.96
71 $187.19
72 $116.63
73 $159.73
74 $159.64
75 $142.44
76 $153.03
77 $143.12
78 $156.35
79 $182.70
80 $129.03
81 $119.06
82 $137.99
83 $144.20
84 $183.51
85 $169.67
86 $134.66
87 $202.94
88 $143.43
89 $170.52
90 $139.53
91 $159.31
92 $134.77
93 $165.48
94 $127.20
95 $168.16
96 $125.39
97 $167.96
98 $178.64
99 $134.38
100 $111.87
Step-by-step explanation:
H0: u = 150
H1: u ≠ 150
Total sum = 15933.24
N = 100
Mean = 15933.24/100
= 159.3324
σ² = 25954.03 - (159.3324)²/100
σ² = 556.213
σ = √556.213
σ = 23.8162
Testing hypothesis
t = (bar x - u)/ σ/√n
= 159.3324-150/23.8162/√100
= 3.91
We will have a p value of 0.02
0.0002 < 0.01
We reject null hypothesis at 1% level of significance
C. Mean = 159.3324
Se= 2.3936
Df = 100-1 = 99
Critical value at 0.01 = +-2.626
T = x-u/s.e
= -2.626 =( x -150)/2.3936
When we cross multiply and solve this
X = 143.714 for the lower tail
2.626 = (x-159)/2.3936
= 156.286 for upper tail.
We therefore reject H0 at
Bar X <= 143.71
Bar X >= 156.286
At 10%
Critical t = 1.660
-1.660 = (x - 150)/2.3936
Solving this ,
X =146.02 at the lower tail
1.660 = (x-150)/2.3936
X = 153.97
We reject H0 at
X<= 146.03
X>=153.97
a charity raised about 8200. if the amount of money was rounded to the nearest hundred dollars, what ciuld have been the exact amount?
Answer:
Anything from 8150 to 8249
2 books cost 60 dollars how much will it cost for 5 books
Answer:
150 $
Step-by-step explanation:
60 :2 =30$cost a book
5×30 =150 $cost 5 books
Or
2 books..... 60 $
5 books...... x$
x=60 ×5 :2
x=300 :2
x=150$
Answer:
60 divided by 2 is 30 meaning 30$ for each book times 5 = 150 $
Step-by-step explanation:
hope i helped
Please help and the answer be right thanks
Step-by-step explanation: Tip you should down load an app called Photomath. You take a picture of your math problem and it tells you the answer tells you the steps on how to do it. It only works for math number problems only not word problems. I hope this helps :)
Write the equation for the vertical line going through the point (16,25).
Answer:
x=16
Step-by-step explanation:
Vertical lines are of the form
x=
Since the x coordinate is 16
x=16
Answer: 16
Step-by-step explanation: x is on 16
Simplify. i^221 please help
221 = 220 + 1 = 4 * 29 + 1
So
i ²²¹ = i ²²⁰ i ¹ = i ⁴*²⁹ i = (i ⁴)²⁹ i = 1²⁹ i = i
since i ⁴ = 1.
please help me with this question!!!
Six multiplication problems involved in solving 325 x 89
Answer:
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9) = 28925
Step-by-step explanation:
Given;
325 x 89
Expand 325 = 300 + 20 + 5
Expend 89.0 = 80 + 9
now multiple to two expanded numbers;
(300 + 20 + 5) x (80 + 9)
distribute the number accordingly as follows;
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9), now we have Six multiplication problems.
= 24,000 + 2700 + 1600 + 180 + 400 + 45
= 28925
What is the midpoint between the following two points
(3,-2) & (9,2)
A) (6,0)
B) (0,6)
C) (3,1)
D) (3,2)
Answer:
B, (6,0)
Take the average of the x values and the average of the y values:
(3+9)/2 = 6
(-2+2)/2 = 0
This means the answer (the average (midpoint) of the two points) is (6,0)
halp pls will give brainlkiest
Answer:
The 1st one
hope this helped :)
The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1
miles.
Answer:
60.15 km
Step-by-step explanation:
If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation
6 km -> 4 mi
x km -> 40.1 mi
Where x km is the length on the map we're looking for. If we cross multiply
6 * 40.1 = 4x
240.6 = 4x
x = 240.6/4
x = 60.15 km.
That is the length we're looking for
A cell phone company charges $25 per month, plus $0.10 per text message sent. Before taxes, Susie’s bill was $80 for 3 months of service. How many text messages did Susie send during those 3
What is the value of X? x +31 equals 66
Answer:
35
Step-by-step explanation:
Simply subtract 31 from 66 to receive the value of x
Answer:
X = 35
Step-by-step explanation:
Take 31 over to the other side so the equation looks like this
[tex]x = 66 - 31[/tex]
Then, solve for 66 - 31.
You will end up with x = 35.
You can also check your work by substituting X with 35.
Hopefully this helped :)
What is the value of 4p − 2, when p = 8?
What is the value of the expression when n = 3?
Answer:
The first one would be 30.
Step-by-step explanation:
First you multiply the 8 x 4, because the 4 and P are multiplying you just substitute the variable, and then substract 2.
what is 8.42 times 10 to the 3rd power
Answer:
8420
Step-by-step explanation:
10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.
In the diagram, $AB,$ $BC,$ $CD,$ $DE,$ $EF,$ $FG,$ $GH,$ and $HK$ all have length $4,$ and all angles are right angles, with the exception of the angles at $D$ and $F.$
If perpendicular $EM$ is drawn from $E$ to $DF$ (a close-up is shown below), and if $x$ is the length of $EM,$ then what is $x^2$?
Please help with hints! - no solutions -
If u give a full solution I will report u :P
Also, trolls just wanting to get the 50 points will be reported!
Thanks for the help in advance :)
Hint: There are some right angles here. What do right angles do in triangles?
Answer:
8
Step-by-step explanation:
Please see the attachment down below.
Hope this helped! :)
c(n) = -6 + 5(n-1) Find the 8th term in the sequence.
Answer:
I think it is 29
Step-by-step explanation:
-6+5((8)-1)=29
I dont understand do I multiply four to get the area?
Answer:
yes
Step-by-step explanation:
3×5×45=365m²
Answer:
yes
Step-by-step explanation:
What is wrong with this "proof"?"Theorem" For every positive integern, ifxandyare positive integers with max(x, y) =n,thenx=y.Basis Step: Suppose thatn= 1. If max(x, y) = 1 andxandyare positive integers, we havex= 1 andy= 1.Inductive Step: Letkbe a positive integer. Assume that whenever max(x, y) =kandxandyare positive integers, thenx=y. Now let max(x, y) =k+ 1, wherexandyare positiveintegers. Then max(x−1, y−1) =k, so by the inductive hypothesis,x−1 =y−1. Itfollows thatx=y, completing the inductive step.
Answer:
Every step is wrong in the proof theorem
Step-by-step explanation:
The inductive step : whenever max(x, y) = k and x and y are positive integers, then x = y. is wrong because
If max (x,y ) = k + 1 then max ( x-1, y-1 ) = k
and by inductive hypothesis : x-1 = y-1 and x =y
example :
max ( 2, 3 ) = 3 where x = 2 , y =3
and x ≠ y hence the inductive step is wrong
Simplify the expression.
(x4y2)1/2
A) 2(x4y2)
B) x1/8y1/4
C) x2y
D) x8y4
Answer:
C)
when you distrbe you get x^2 y
5. Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for
95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute.
(a) How many gallons of water are in the pool at the end of 95 minutes?
Answer:
1284 gallons
Step-by-step explanation:
95 minutes*8.4 gallons=798 gallons
486 + 798 = 1284 gallons after 95 minutes
What is the unit rate of 27:24
Answer:
It's nine 9...........
Step-by-step explanation:
Its nine
Answer:
9
Step-by-step explanation:
Notice that 27 can be factored out as 3 * 3 * 3
and 12 can be factored out as: 2 * 2 * 3
then when we study the ratio 27/12, we can cancel out a factor 3, leaving us with: (3 * 3) / (2 * 2) = 9 / 4
Then 9 is the number you need to type in the box.
18
-20 please find the answer
What is the answer for 2
Answer:
C
Step-by-step explanation:
73.89 x .05 = 3.6945
but to round it will become 3.69
Answer:
C. $3.69
Step-by-step explanation:
73.89 × 0.05 = $3.6945$3.6945 rounds to $3.69I hope this helps!
What is the value of the expression below when x=8? 10x+5
A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inch by 11 inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box. Let x represent the varying side length of the square cutouts in inches. Let l , w , and h represent the varying length, width and height of the box (in inches), respectively. Note that the width and length dimensions are such that w < l . Let V represent the varying volume of the box in cubic inches. Write formulas for length, width, and volume of the box, each in terms of x .
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
L(x) = 11 - 2x
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
W(x) = 8.5 - 2x
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
V(x) = 4x³ - 39x² + 93.5x
If a =3.6 and b=10 then ab=
Answer:
36
Step-by-step explanation:
ab = a*b
a=3.6
b=10
3.6*10
=36
please help quickly!!!! i only have 5 minutes left ill give brainliest
Answer:
y=1/3x+2
Step-by-step explanation:
To solve, you plug in each vaule for x and y in the table. If it is a true statement for more than 1 answer, thats the correct answer
Answer: C
Step-by-step explanation:
I had this question before
Christine chose cds to bring on her vacation. She bought 7 country cds and 3 rock cds. She will pick 1 cd at random and play it and put it back. What is the probability the first cd she picks us a country cd and then a rock cd
Answer:
probably 2 out of 10
Step-by-step explanation:
because it's 2 cds out of ten