Step-by-step explanation:
(7x)^2 - 2×7x×1 +1^2 =0
(7x-1)^2 =0
7x-1=0
7x=1
x= 1\7
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
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:
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 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 the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
Answer:
[tex]r=4[/tex]
Step-by-step explanation:
We know that the slope of the line is -1.
We also know that the line passes through (-9, 3) and (-10, r).
We want to find the value of r.
First, let's figure out the equation of our line. We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).
Substitute:
[tex]y-(3)=-1(x-(-9))[/tex]
Simplify:
[tex]y-3=-(x+9)[/tex]
Distribute:
[tex]y-3=-x-9[/tex]
Add 3 to both sides. So, our equation is:
[tex]y=-x-6[/tex]
It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:
[tex]r=-(-10)-6[/tex]
Evaluate for r. Distribute:
[tex]r=10-6[/tex]
Subtract:
[tex]r=4[/tex]
So, the value of r is 4.
And we're done!
11/12 of the disk space on a
hard drive is unused. 3 people
need to use the remaining disk
space evenly. How much of the
total disk space will 1 user get?
Answer:
2 whole number 1 out of 4
Step-by-step explanation:
11/12 x 3
11/4 = 2remainder 3
2 whole number 3 out of 12
When u reduce it will be 2 whole number 1 out of 4
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 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!
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
What is the value of the expression below when x=8? 10x+5
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!
18
-20 please find the answer
Find the maturity value and the compound interest if $3,600 is invested at 6% compounded semi-
annually for 5 years and 7 months. Round your final answers to 2 decimal places
Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.
Step-by-step explanation:
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
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.
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
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
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
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 :)
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
please help me with this question!!!
18% of 200 is between which two numbers?
Answer:
35&37
Step-by-step explanation:
Well 18% of 200 is 36 so...
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.
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
12x ÷ 4y (if x = -8 and y = 3)
Answer: -8
Step-by-step explanation:
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
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
A restaurant uses 4 pounds of potatoes for a party of 12 people if they are cooking potatoes for a party of 60 people,what should they do?
Answer:
They should multiply the amount of potatoes by 5. 12 is 1/5 of 60. Therefore, if you need 4 pounds of potatoes for 12 people, then you will need 20 pounds of potatoes for 60 people.
Step-by-step explanation:
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)