Answer:
I think the answer is c
Step-by-step explanation:
sorry if it's wrong
The equivalent equation is (x- 4)² = 32.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x² - 8x = 16
x² - 8x - 16 = 0
Now, using Completing Square Method
x² - 8x - 16 -4² + 4² = 0
x² - 8x + 4² -16 - 16 = 0
(x- 4)² -32 = 0
(x- 4)² = 32
Hence, the equivalent equation is (x- 4)² = 32.
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HELP ME PLEASEEEEEEEEEEE
If only 4 of your 15 employees showed up for a shift, what percent of the
employees came to work?
.
Mrs Tan packed 42 strawberry cookies and 49 chocolate cookies in boxes
such that each box had an equal number of each type of cookies. What was
the greatest number of boxes used if all the cookies were packed?
Answer:
6 boxes
Step-by-step explanation:
HCF of 42 and 49 gives us 7.
So, 7 is the greatest number of boxes used if all cookies were packed.
Mark me brainliest thenkss :)
What steps should be taken to calculate the volume of the prism? select three options.
Answer: C and the last choice.
Hope that helped! :)
Step-by-step explanation:
A- is not the answer because that is the formula for triangles.
B-Is not the answer because it's the formula for area
C-Is the formula for Volume so that an answer
D- Is the wrong answer when you solve the answer
E-Is the other answer because it is correct
Mary Ann and Abigail were shopping for prom shoes and wondered how the prices at Payless compared to the prices at Famous footwear. At each store, they randomly selected 30 pairs of shoes and recorded the price of each pair. The table shows summary statistics for the two samples of shoes. Do these data provide convincing evidence at the a=0.05 significance level that shoes cost less, on average, at payless than a Famous Footwear?
Answer:
Step-by-step explanation:
how the prices at Payless compared to the prices
at Famous Footwear. At each store, they randomly
selected 30 pairs of shoes and recorded the price of
each pair. The table shows summary statistics for
the two samples of shoes.28
Store
Mean
SD
Famous Footwear
$45.66
$16.54
Payless
$21.39 $7.47
Do these data provide convincing evidence at the
0.05 significance level that shoes cost less
, on
average, at Payless than at Famous Footwear?
a =
A small pond has a roughly rectangular shape. It is 22.3 kilometers wide and 24.5 kilometers long. Shrinking water levels are reducing the width by 1.4% each year and the length by 0.75% each year. Use the drop-down menus to choose or create functions to model: A. The width of the pond over time, w(t) B. The length of the pond over time , l(t) C. The area of the pond over time, a(t)
Answer:
A
Step-by-step explanation:
Answer: 1st one it 22.3(1-0.014)^t second one is 24.5(1-.0075)^t
And it’s multiplication
Step-by-step explanation: alright so it’s lowering per year so if you evaluate every equation this makes the most sense because when you include “(1-)” it means percentage decrease and “(1+)” is percentage increase so this one make the most sense the other have some kind of increase rather than decrease
Find the volume of this sphere.
Round to the nearest tenth.
10 cm
Formulas for Spheres
S.A. = 4tr2
V = rer
?] cm3
Enter
Step-by-step explanation:
Diameter=10cm
Radius=Diameter/2=10/2=5cm
Now
[tex]\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3\end{gathered}[/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125\end{gathered} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}\end{gathered} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8\end{gathered} [/tex]
[tex]\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)\end{gathered} [/tex]
Volume of the sphere is 524 [tex]cm^{3}[/tex]
What is Volume?"Volume is the total amount of space occupied by any three dimensional object."
What is sphere?" A sphere is three dimensional shape which is equidistant from its center."
Formula used to calculate Volume of a sphere
Volume of a sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
According to question,
Diameter = 10cm
Radius = [tex]\frac{Diameter}{2}[/tex]
= [tex]\frac{10}{2}[/tex]
= 5cm
Volume of a sphere = [tex]\frac{4}{3}[/tex] ×[tex]\pi[/tex]×[tex]5^{3}[/tex]
= [tex]\frac{4}{3}[/tex] ×[tex]\frac{22}{7}[/tex] × [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex]
= 523.8
= 524 [tex]cm^{3}[/tex] (round to the nearest tenth)
Hence Volume of a sphere is 524 [tex]cm^{3}[/tex].
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Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?
Answer:
8,25
Step-by-step explanation:
Plz help will gift extra pints if you help
answer all the questions also
Answer:
1. Yolanda's error is that the sample does not consist of all of Tichenor Middle School's students.
2. The sample size is 40 students. This is the sample size, because if you add up the amounts of students which voted for each animal, it adds up to 40.
Step-by-step explanation:
You are very excited to learn that a building is available with 2,570 square feet. You know that the building code requires
two bathrooms at least 10 x 12 feet each. There is an entrance hallway that is 30 x 15 feet. You think you need at least 1,000 square feet for
the kitchen and storage. Which of the following could represent the available dining space?
O
a) 30 x 29 feet
b) 30 x 40 feet
c) 40 x 50 feet
d) 50 x 50 feet
Answer:
a
Step-by-step explanation:
The available dining space is 1000aq feet, the correct option is A
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Given;
The building is available with 2,570 square feet
The building code requires two bathrooms at least 10 x 12 feet each
An entrance hallway that is 30 x 15 feet
For kitchen and storage= 1000sq feet
Now, to find the available dinning space;
=2570-(10*12)-(30*15)-(1000)
=2570-1570
=1000
Therefore, the area left will be 1000sq feet
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What two fractions are being
multiplied?
8 girls have enough food for 6 days
How long would the same food last
4 girls if they eat at the same rate?
The least common multiple is divisible by both a and b and it is the smallest positive integer divisible by both. The same food last for 4 girls will last 12 days.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The relationship between work and time is given by,
W = R × M × T
where W is the work, R is the rate of work, T is the time taken to do the work, and M is the number of people doing the work.
Given that 8 girls have enough food for 6 days. Therefore, the amount of food that a girl needs for a day is,
Amount of food that the girls need for a day = 1/(8×6) = 1/48
Now, if the same food is available then the time for which the food will last is,
[tex]\rm Time = \dfrac1{(4 \times \frac1{48})}[/tex]
= 12 days
Hence, the same food last for 4 girls will last 12 days.
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Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.
(a) How many business owners in the survey plan to provide a holiday gift to their employees this year?
(b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations.
(c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We the null hypothesis. We conclude that the proportion of business owners providing gifts has decreased from 2008 to 2009. What is the smallest level of significance for which you could draw such a conclusion?
Answer:
a)x₁ = 24 business owners plan to provide a gift this year
b) p-value = 0,0017
c)p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
Step-by-step explanation:
a) Sample size 80
proportion p₁ = 30 % p₁ = 0,3
Then x₁ = 80*0,3
x₁ = 24 business owners plan to provide a gift this year
b) Hypothesis Test
Null Hypothesis H₀ p₁ = 0,45
Alternative Hypothesis Hₐ p₁ < 0,45
p₁ = 0,3 then q₁ = 1 - 0,3 q₁ = 0,7
z(s) = ( p₁ - 0,45 )/ √p₁* q₁ / n
z(s) = - 0,15 / √0,002625
z(s) = - 0,15 / 0,05123
z(s) = - 2,9279
b)From z-table we find p-value = 0,0017
c) If α = 0,05 ( significance level ) as
p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
A)1/2
B)1/3
C)1/5
D)1/6
No links please
In an attempt to asses total daily travel taxes in various cities, the Global Business Travel Association conducted a study of daily travel taxes on lodging, rental cars, and meals (GBTA Foundation website, October 30, 2012). The data in the file named "TravelTax" are consistent with the findings of that study for business travel to Chicago. Assume the population standard deviation is known to be $8.50 and develop a 95% confidence interval of the population mean total daily travel taxes for Chicago.
Lodging, Car Rental, and Meal Taxes ($)
38.02
41.89
47.44
40.14
47.69
44.02
32.93
33.32
33.90
36.53
43.01
33.22
35.65
39.47
38.86
42.42
47.71
45.03
53.73
36.07
49.95
31.81
63.43
31.50
64.13
42.14
46.78
30.45
47.35
39.42
39.79
43.63
34.03
35.74
48.43
30.92
44.45
41.63
27.23
41.03
43.87
46.07
34.34
39.57
36.40
48.18
42.92
35.57
45.68
43.14
55.21
34.73
26.40
40.66
37.66
28.63
38.17
45.16
46.19
49.58
48.14
45.61
34.22
44.34
55.14
37.00
48.78
52.77
49.07
38.14
45.35
42.59
41.27
20.93
30.70
43.00
50.91
38.56
41.31
39.18
33.57
25.09
30.05
19.28
32.47
53.97
47.32
35.61
44.11
38.97
37.48
40.55
52.03
46.86
46.07
34.89
42.93
49.64
44.35
41.66
39.80
50.31
36.59
33.40
45.51
44.43
47.65
36.24
32.03
32.81
31.64
40.18
34.13
33.22
48.60
40.66
43.37
41.08
34.11
52.91
31.76
56.03
33.61
40.11
53.77
34.73
35.58
48.28
31.89
34.71
37.44
34.77
31.82
39.98
44.66
31.78
21.69
43.23
54.00
46.55
44.85
42.15
25.67
50.25
44.62
44.30
45.09
35.12
34.06
31.77
36.55
36.79
29.65
47.66
25.91
47.27
32.31
42.52
46.86
48.75
38.81
33.66
27.24
46.40
50.95
39.74
35.47
35.95
29.51
62.77
37.72
45.80
39.91
33.28
39.63
28.57
38.14
36.04
40.13
35.51
31.49
39.49
37.69
50.34
44.10
45.61
46.51
53.00
35.40
25.64
47.65
47.49
32.76
45.41
28.77
37.32
28.64
50.67
33.77
40.88
Answer:
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Step-by-step explanation:
The first step, before building the confidence interval, is finding the mean of the data set.
We are given 200 values, and the with the help of a calculator, the mean of this values is of 40.31.
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population(8.50, as given in the problem) and n is the size of the sample(200).
[tex]M = 1.96\frac{8.50}{\sqrt{200}} = 1.18[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 40.31 - 1.18 = $39.13.
The upper end of the interval is the sample mean added to M. So it is 40.31 + 1.18 = $41.49.
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Answer:
($39.132, $41.488)
A step-by-step explanation is mentioned in the attached image
Can someone tell or show me how to do this pls? will give brainleist!
I need help with this
Answer:
I would go with third one down 3 1/2
Step-by-step explanation:
2 1/3 × 1 1/2
7/3 × 3/2 = (7×3)/(3×2)
= 21/6
= 3 3/6
= 3 1/2
Find the value of this expression if x = 9.
x2 – 9
x – 7
Answer:
First Problem: 9
Second Problem: 2
Step-by-step explanation:
Have a Nice Day
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answer:
D) 13 1/8
Step-by-step explanation:
105/8=13 1/8 cups
Hope this helped! :)
helpppppppppppooooo :p
Answer:
1) c. 10
2) a. 1 and 18
3) d. 17
4) I think it's actually 12 but I don't know
Use Appendix B.5 to locate the value of t under the following conditions. (Round your answers to 3 decimal places.)
a. The sample size is 12 and the level of confidence is 95%.
Value of t
b. The sample size is 20 and the level of confidence is 90%.
Value of t
c. The sample size is 8 and the level of confidence is 99%.
Value of t
check my workreferencesebook & resources
eBook: Compute and interpret a confidence interval for a population mean.
Worksheet Difficulty: 2 Intermediate Learning Objective: 09-02 Compute and interpret a confidence interval for a population mean.
Answer:
a) t = 2.2010
b) t = 1.7291
c) t = 3.4995.
Step-by-step explanation:
a. The sample size is 12 and the level of confidence is 95%.
12 - 1 = 11 degrees of freedom, either two-tailed test at [tex]\alpha = 0.975[/tex] or one-tailed test at [tex]\alpha = 0.95[/tex], so t = 2.2010.
b. The sample size is 20 and the level of confidence is 90%.
20 - 1 = 19 degrees of freedom, either two-tailed test at [tex]\alpha = 0.95[/tex] or one-tailed test at [tex]\alpha = 0.9[/tex], so t = 1.7291.
c. The sample size is 8 and the level of confidence is 99%.
8 - 1 = 7 degrees of freedom, either two-tailed test at [tex]\alpha = 0.995[/tex] or one-tailed test at [tex]\alpha = 0.99[/tex], so t = 3.4995.
Find the surface area of this sphere.
Round to the nearest tenth.
10 cm
Formulas for Spheres
S.A. = 4rr2
V = firer
?] cm2
Enter
Answer:
the answer is 62.8cm^2
Step-by-step explanation:
4•3.14•5
By using the formula for the surface area of the sphere [tex]S.A = 4 \pi r^2[/tex], the surface area of this sphere would be, [tex]S.A = 314[/tex] cm²
Used the formula of the surface area of the sphere,
[tex]S.A = 4 \pi r^2[/tex]
Where 'r' is the radius of the sphere.
Given that,
Diameter of a sphere = 10 cm
We know that the radius of the sphere is half of the diameter of the sphere.
Hence, the radius of the sphere is,
[tex]r = \dfrac{10}{2}[/tex]
[tex]r = 5[/tex] cm
Substitute r = 5 cm in the above formula,
[tex]S.A = 4 \pi r^2[/tex]
[tex]S.A = 4 \times 3.14 \times 5^2[/tex]
Therefore, the surface area of a sphere is,
[tex]S.A = 314[/tex] cm²
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Determine the value of x in the given figure.
ill give brainliest to whoever helps
Answer:
a) x=8, b) Option B 36°
Step-by-step explanation:
a) Recall that a straight angle is measured 180°, therefore ∠RPS and ∠QPR are supplementary to each other since they'll add up to 180°, therefore:
m∠RPS + m∠QPR = m∠QPS = 180°
(3x + 12)° + (7x + 88)° = 180°
10x + 100 = 180
10x = 80
x = 8
b) Plug in x=8 into m∠RPS and evaluate:
m∠RPS = (3x + 12)°
m∠RPS = (3(8) + 12)°
m∠RPS = (24 + 12)°
m∠RPS = 36°
HELP ME PLEASE IM SO FRSTRATED
Answer:
x = 13.3
Step-by-step explanation:
Use the cosine law:
x^2 = (8)^2 + (18)^2 -2(8)(18)cos43
= 64 + 324 - 288cos43
= 177.3
x = 13.3
Which mathematical statement is missing?
YZ/BC=6/3
∠B≅∠Y
BC/YZ=6/3
∠B≅∠Z
Answer:
The answer is c
Step-by-step explanation:
The missing term is YZ/BC = 6/3.
The correct option is A.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given:
The triangles ABC and XYZ are similar triangles by the SSS criterion.
And AB/XY = 4/2
AC/XZ = √52/√13
The missing ratio is YZ/BC = 6/3
It will complete the SSS criterion.
Therefore, YZ/BC = 6/3 is the missing term.
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need help offering 10 points if answer correct will give brainlest
Answer:
the answer is 55% are satisfied with the car
0.7% of what number is 35
Answer:
The answer is 0.25
Step-by-step explanation:
Determine the slope of the line that is perpendicular to the line passing through the points (-6, 4) and (10,-2).
Answer:
The slope of the line that is perpendicular is 3/8
Step-by-step explanation:
The slope of the line through
(-6,4) (10,-2)
m = ( y2-y1)/(x2-x1)
= ( 10 - -6)/( -2 -4)
= (10+6)/(-2-4)
= 16/-6
=-8/3
A line perpendicular has a slope that is the negative reciprocal
- 1/( -8/3)
+ 3/8
The slope of the line that is perpendicular is 3/8
What is the area of this figure? Pls answer quick!! Will mark the brainliest!!