Answer:
[tex](a)\ r = 8cm[/tex]
[tex](b\ Area = 200.96cm^2[/tex]
[tex](c)\ Volume = 2143.573cm^3[/tex]
Step-by-step explanation:
The largest cross-section of a sphere is the center.
So, we have:
[tex]A : C = 4 : 1[/tex]
Where
[tex]A = \pi r^2[/tex]
[tex]C =2\pi r[/tex]
Solving (a): The radius
[tex]A : C = 4 : 1[/tex] implies that
[tex]\pi r^2 : 2\pi r = 4 : 1[/tex]
Express as fraction
[tex]\frac{\pi r^2 }{ 2\pi r} = \frac{4 }{ 1}[/tex]
[tex]\frac{\pi r^2 }{ 2\pi r} = 4[/tex]
Divide by [tex]\pi r[/tex]
[tex]\frac{r}{ 2} = 4[/tex]
Make r the subject
[tex]r = 4 * 2[/tex]
[tex]r = 8cm[/tex]
Solving (b): Area of the largest cross-section.
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 *8^2[/tex]
[tex]Area = 200.96cm^2[/tex]
Solving (b): Volume of the sphere
[tex]Volume =\frac{4}{3}\pi r^3[/tex]
[tex]Volume =\frac{4}{3} * 3.14 * 8^3[/tex]
[tex]Volume = 2143.573cm^3[/tex]
Cher works in retail sales. Her salary is $400 plus 15% commission on weekly
sales.
Find her sales for the week if her wages for the week is $940.
Answer:
Sales of the week = 3600
Step-by-step explanation:
Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly sales.
To find - Find her sales for the week if her wages for the week is $940.
Solution -
Let us assume that,
Her sales of the week = x
Now,
Given that, Her salary is $400 plus 15% commission on weekly sales.
So,
Equation of salary becomes
Salary = 400 + [tex]\frac{15}{100}x[/tex]
i.e.
Salary = 400 + 0.15x .......(1)
Now,
Given that,
her wages for the week is $940.
i.e. Salary = $940
Put in equation (1), we get
940 = 400 + 0.15x
⇒0.15x = 940 - 400
⇒0.15x = 540
⇒x = 3600
∴ we get
Sales of the week = x = 3600
6,791,240 6,781,204 which one are greater
Answer:
6,791,240>6,781,204
Step-by-step explanation:
A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement
Answer:
C
Step-by-step explanation:
It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.
What is the sample?A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.
If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.
Therefore, the correct answer is C. the sample had to have been selected without replacement.
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Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number
I need help with all of this...
Answer:
sorry it might be a bit hard to read but basically when you go up the scale you will move the decimal point over to the right and add zeros. when you are going up the scale you are going to move the decimal point over to the left and take away zeros depending on how many step you go up or down
Find the zeros of the function y=x(x+2)(x-4)
Answer:
first x= -2
second x= 2
third x= 4
the position vectors of points A and B of a line AB are (1 2) and (5 8) respectively . find the position vector of mid poind M of AB.
Answer:
(3,5)
Step-by-step explanation:
Mid-point = (1i+2j+5i+8j)/2
=(6i+10j)/2
=3i+5j
=(3 5)
How is everbody doing today?
Answer:
:)))))))))))))))))) boring
Answer:
Doing alright.
Thanks for asking.
Step-by-step explanation:
Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle
90 degrees
65 degrees
25 degrees
155 degrees
9514 1404 393
Answer:
(b) 65 degrees
Step-by-step explanation:
When angles are complementary, their total is 90°. The measure of the other angle is ...
90° -25° = 65° . . . . . the measure of the other angle
What is angle M and N and the length of NP
Best answer gets brainliest!!!!
Answer:
3
Step-by-step explanation:
Answer:
Angle M and N is 45 degrees, and the length of NP is approximately 6 cm
Step-by-step explanation:
With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.
*triangles add up to a total of a 180 degrees, (180 - 90 = 90)
9 ÷ 2 = 45
So: ∠M = 45° and ∠N = 45°
To find the length of NP, use the pythagorean theorem.
a² + b² = c²
a = MP = 5
b = NP = x
c = MN = 7.8
(5)² = 25
(7.8)² = 60.48
25 + x² = 60.48
x² = 60.48 - 25
x² = 35.84
x = √35.84
x = 5.986 = 5.99
NP = 5.99 = 6
MODELING REAL LIFE A survey asked students to choose their favorite social media website Social Media Website Number of Students Website A 35 Website B 13 Website C 22 Website D 10 a. What fraction of the students chose Website A?
__ chose Website A.
b. What percent of the students chose Website C?
__ % chose Website
Answer: For A = 35/80 or 43.75% C = 22/80 or 27.5 %
Step-by-step explanation:
I’m not sure if this is right but since 35 students choose A that would be the numerator and the denominator is how many people voted and when you add all 4 options you get 80 so it would be 35/80 and same apply to C which would be 22/80
MPG (miles per gallon) Formula:
Example Problem: Abdullah drove 1800 miles on 50 gallons of
gasoline. Find his gas mileage, rounded to the nearest whole
number, mpg.
PLEASE HELP
Answer:
36 mpg
Step-by-step explanation:
the gas mileage= 1800/50 = 36 mpg
evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2
Answer:
[tex]468in^{2}[/tex]
Step-by-step explanation:
L=12
W=9
H=6
2lw+2lh+2wh=468
Many think ts, "oh LWH" well actually lwh is volume
The brown paper required to wrap the package is 468 square inches.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
The diagram shows the package that is cuboid in shape.
The dimensions of cuboid are
The length of the cuboid = 12 in
The wide of the cuboid = 9 in
The height of the cuboid = 6 in
The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,
[tex]A=2(lw+hl+hw)[/tex]
⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]
⇒ [tex]A=2[108+72+54][/tex]
⇒ [tex]A=2[234][/tex]
⇒ [tex]A=468[/tex]
Hence we can conclude that the brown paper required to wrap the package is 468 square inches.
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96g + 80f and explain
Answer:
16(6g + 5f)
Step-by-step explanation:
To factor 96g + 80f, we must find the GCF of 96 and 80. We don't factor g and f since they're totally different and can't be factored.The GCF of 96 and 80 is 16.To factor the equation:
96g + 80f
16(6g + 5f)
Simplify the following expression:
5(3x) – 3(7x – 2)
Answer:
[tex]5(3x) - 3(7x - 2) \\ = 15x - 21x + 6 \\ = - 6x + 6 \\ = 6(1 - x)[/tex]
Answer:
-6x+6
Step-by-step explanation:
Hank spends 7 hours doing work outside each week as part of his chores. For every extra hour he spends working outside beyond
the 7 hours, his parents pay him $9. How much money will he be paid if he spends 12 hours working outside?
A. $45
ОВ.
$14
C. $171
D. $108
9514 1404 393
Answer:
A. $45
Step-by-step explanation:
12 hours is 5 more than 7 hours.
Hank will be paid 5 × $9 = $45 if he spends 12 hours working outside.
A bank adjusts its interest rates for new certificates of deposit daily. The table shows the interest rates on the first of the month for January through May. Find the best fitting model for the data. If this pattem were to continue, what would the interest rate be on the first of June? Month 1 2 3 4 un Rate 3.9 44 4.6 3.8 3.1 a) The best fit equation is D) The R value is : c) The interest rate on the first of July will be :: y=-0.243.12 +1.2371 + 2.92 :: y = -0.22+ 4.62 * 3.3 1.6 : 0.955 :: 0.353
Answer:
a
Step-by-step explanation:
for the first answer it’s the first equation
Answer:
Umm can you take another picture of it because i can't really see it ,
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
90+51+x=180(sum of interior angles of a triangle)
141+x=180
x=180-141
x=39 degree
Step-by-step explanation:
Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.
Answer: $2,720
Step-by-step explanation:
Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.
In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:
Total interest = 12% * 68,000
= $8,160
Monthly rate is:
= 8,160 / 12 months
= $680
There are 4 months in 2020 so the interest for 2020 is:
= 680 * 4
= $2,720
Measurements were taken from snails of the shell weights and the widths of the opercula. Plot a graph of opercula width (y-axis) versus shell weight (x-axis). Estimate the correlation coefficient and test to see if there is a significant association shell weights and the widths of the opercula. Use a 5% level of significance.
Opercula width
Shell weight (g) (mm)
12 10.1
10 9.0
7 5.5
14 9.9
11 8.3
8 8.5
10 8.0
9 6.4
6 6.2
13 8.1 2.306
Answer:
Yes,there is a significant association shell weight and the widths of the opercula
Step-by-step explanation:
Using a correlation Coefficient calculator :
Given the data above :
The Coefficient of correlation(r) obtained is :
0.7632
Obtaining the test statistic :
T = r² / √(1 - r²) / (n - 2)
T = 0.7632² / √(1 - 0.7632²) / (10 - 2)
T = 0.58247424 / 0.2284528
Test statistic = 2.550
The Pvalue from r score , N = 10
Pvalue(0.7632, 10) = 0.01022
α = 0.05
If Pvalue < α ; reject H0
Pvalue < α ; We conclude that there is a significant association shell weights and the widths of the opercula
find 2 rational numbers between -2/3 and -7/3
Step-by-step explanation:
that is right answer and correct
What is the area of the quadrilateral and what is the perimeter
Answer:
Area of Trapezoid = (b1 + b2)h
2
Area = (9 in + 17 in) (3 in = 1/4 ft)
2
A = (26 in)(3 in)/2
A = 78 in2/2
A = 39 in2
Perimeter = bi + b2 + 2l
P = 9in + 17 in + 2(5 in)
P = 26 in + 10 in
P = 36 inches
Lexi is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 feet away from the hook. If Lexi is 20 feet away from the fish, how far below Lexi is the hook?
I don't know what that is
Step-by-step explanation:
One Pythagorean Triple is 3, 4, 5. 32 + 42 = 52
Any multiple of the three numbers is also a Pythagorean Triple:
(3 · 3)2 + (3 · 4)2 = (3 · 5)2
92 + 122 = 152
Write the algebraic expression: 4p times the sum of 7 and 5p
Answer:
4p(7 + 5p)
Step-by-step explanation:
4p times the sum of 7 and 5p
4p(7 + 5p)
Cassie rolls a fair number cube with 6 faces labeled 1-6. She rolls the number cube 300 times. Which result is most likely?
a.Cassie will roll a 1 or 2 about 50 times.
b.Cassie will roll an even number exactly 150 times.
c.Cassie will roll a 1 or 2 exactly 50 times.
d.Cassie will roll an even number about 150 times
Answer: B
Step-by-step explanation:
Process of elimination:
A: 1 or 2 is 2 favorable outcomes
2/6 or 1/3
one third of 300 is 100, not 50
B: 2, 4, and 6 are even numbers (3 favorable outcomes)
3/6 or 1/2
1/2 of 300 is 150
I say the answer is B. Sorry if I’m wrong.
What is the area of this figure?
A train car has 23 rows that hold 4 seats each. If 3 train cars are coupled together, how many people can the train hold?
O 34 people
O 92 people
276 people
O 2,760 people
Answer:
276 is the answer
Step-by-step explanation:
23x4=92
92x3=276
Twelve people ordered calculators. The least expensive was $5.95 and the most expensive was $12.95. Half ordered a $9.95 calculator. Select the best estimate of the amount spent on calculators.(1 point)
$125
$90
$160
$140
Answer:
Round up all costs
Least expensive: $6
Most expensive: $13
Half (half of 12 people is 6) ordered $10 calculators so 6x10=$60
Other half
(6+13)/2= $9.5 round up to $10 so 6x10=$60
$60 + 60=$120 best estimate $125
Step-by-step explanation:
The required, best estimate of the amount spent on calculators is $125. Option A is correct.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Since half of the twelve people ordered a calculator costing $9.95, there are 6 such people. Let the remaining 6 people have ordered the cheapest calculator, which costs $5.95. Then the total amount spent on calculators is:
6 x $5.95 + 6 x $9.95 = $35.70 + $59.70 = $95.40
However, we also need to take into account the possibility that some people may have ordered more expensive calculators. We know that the most expensive calculator costs $12.95, so let's assume that all 12 people ordered this calculator. Then the total amount spent on calculators would be:
12 x $12.95 = $155.40
Since the actual amount spent is somewhere between $95.40 and $155.40, the best estimate of the amount spent on calculators is around the midpoint of these values:
($95.40 + $155.40) / 2 = $125.40
Therefore, the best estimate of the amount spent on calculators is $125.
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Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.
Answer:
Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.
Step-by-step explanation:
:D
find the side length x on the right triangle 18 9 x
Answer:
answer is 15.6
Step-by-step explanation: