The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere? StartFraction 32 Over 3 EndFractionπ cm3 8π cm3 StartFraction 64 Over 3 EndFractionπ cm3 16π cm3

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Step-by-step explanation:

the volume is

base area × height

the base area is a circle, and the area of a circle is

pi×r²

in our case the volume is

pi×5²×22 = pi×25×22 = 550pi = 1,727.875959... cm³

the surface area is the sum of

2 circles (top and bottom) = 2× pi×5²

the lateral area

the lateral area (the "mantle wall" of the cylinder) you can imagine to be cut open and then placed flat on a table.

in this case you can see it is just a rectangle, with the cylinder height being the width, and the circle circumference being the length.

the circle circumference is

2×pi×r = 2×pi×5 = 10pi = 31.41592654... cm

so, the lateral area is

22 × 31.41592654... = 691.1503838... cm²

the surface area is then

691.1503838... + 2×pi×25 = 691.1503838... + 50pi =

= 848.2300165... cm²

Answer:

Choice 1

Step-by-step explanation:

1.

The function is in fact decreasing non linearly from x=4 to x=11, which becomes apparent if you look at the graph from 4 to 11.

2.

Between x=1 and x=4, the graph is increasing, but not linearly so.

3.

Between x=-7 and x=-4, the graph is nonlinear, but it is increasing, not decreasing.

4.

Between x=-4 and x=1, the graph is linear, but it is neither increasing nor decreasing, rather staying constant.

Therefore, the correct answer is choice 1.

Hope this helps!

Answer:

1. -3x - 5= 16

-16-5=3x

x=-21/3=-7

Answer:

p = - 115

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

px - 5y = 60 ( subtract px from both sides )

- 5y = - px + 60 ( divide all terms by - 5 )

y = \(\frac{1}{5}\) px - 12 ← in slope- intercept form

with slope m = \(\frac{1}{5}\) p , thus

\(\frac{1}{5}\) p = - 23 ( multiply both sides by 5 to clear the fraction )

p = - 115

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

Answer: x = 6

Step-by-step explanation:

2x = 7 + 5

x = 12/2 = 6

Liam is designing a patio and fountain for his backyard. The fountain will cover an area of 50 square feet. To cover the remaining space, Liam plans to use tiles that cover 2.25 square feet each.

To calculate the number of tiles Liam will need, we first need to find the area of the remaining space in his backyard. This can be done by subtracting the area of the fountain from the total area of his backyard.

Once we have the area of the remaining space, we divide it by the area covered by each tile (2.25 square feet) to determine the number of tiles needed.

Therefore, the number of tiles Liam will need is given by:

Number of tiles = Area of remaining space / Area covered by each tile

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A hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level. This means that the test was not able to provide enough evidence to support the idea that the regression coefficient is significantly different from zero.

A hypothesis test is a statistical test that is used to determine whether there is enough evidence to support or reject a claim about a population based on the sample data. In a regression analysis, the regression coefficient represents the slope of the regression line that shows the relationship between the dependent variable and the independent variable(s).The null hypothesis for a regression coefficient is that the population slope is zero, which means that there is no linear relationship between the dependent variable and the independent variable(s). The alternative hypothesis is that the population slope is not zero, which means that there is a linear relationship between the dependent variable and the independent variable(s).The level of significance (α) is the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. The commonly used value for α is 0.05 (or 5%).If a hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level, it means that there is not enough evidence to support the alternative hypothesis that the population slope is not zero. Therefore, it can be concluded that the regression coefficient is not significantly different from zero and there is no linear relationship between the dependent variable and the independent variable(s).

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The rate of the square increasing when the area is 16 cm² is 64 cm²/s. The result is obtained by using basic derivative rules.

The rate of a square increasing can be counted by the derivative of the area of the square as a function of time.

dA/dt = 2s ds/dt

Where s is side length.

If each side of a square is increasing at a rate of 8 cm/s, what is the rate of the square increasing when the area is 16 cm²?

We have the side of the square as the function of time.

ds/dt = 8 cm/s

When the area is 16 cm², the side length is

A = s²

16 = s²

s = √16

s = 4 cm

The rate of the square increasing is

dA/dt = 2s ds/dt

dA/dt = 2 × 4 × 8

dA/dt = 64 cm²/s

Hence, the rate of the square increasing when the area is 16 cm² is 64 cm²/s.

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Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

discriminant = 9 - 4(10 * 3)

9 - 4 * 30

9 - 120 = -111

Is negative so the equation has two complex solutions

Answer:

ok so there is 1/4 of a meter between 15 chairs so

1/4*5= 1.25

so there is 1 and a quarter meter between the first and the last

Hope This Helps!!!

Answer: angle 7 is equal

Step-by-step explanation: I help ;)

To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Answer:

1

Step-by-step explanation:

1. expand the terms on the right side of the equation: 6=2y+4

2. subtract 4 from both side: 2=2y

3. divide both side by 2: 1=y

Answer:

y=1

Step-by-step explanation:

2(y+2)=6

2y+4=6

2y=6-4

2y=2

y=2/2

y=1

Explanation:

The normal curve, aka bell curve, has mirror symmetry with the mean at the very center. Half of the data is below the mean, while the other half is above the mean.

About 68% of the data will lie below the mean in a normally distributed data set. This is known as the Empirical Rule, which states that if a data set is approximately normally distributed, then approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Answer:

hundred thousand and two

Answer:

106

Step-by-step explanation:

180-42-32=

x

Answer:

\(p= \dfrac{1}{2}\)

Step-by-step explanation:

Given equation:

\(p^3=\dfrac{1}{8}\)

Cube root both sides:

\(\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}\)

\(\implies p= \sqrt[3]{\dfrac{1}{8}}\)

\(\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:\)

\(\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}\)

\(\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)

\(\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}\)

\(\textsf{Apply exponent rule} \quad 1^a=1:\)

\(\implies p= \dfrac{1}{8^{\frac{1}{3}}}\)

Rewrite 8 as 2³:

\(\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}\)

\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}\)

Simplify:

\(\implies p= \dfrac{1}{2^{\frac{3}{3}}}\)

\(\implies p= \dfrac{1}{2^{1}}\)

\(\implies p= \dfrac{1}{2}\)

Answer:

On the screenshot

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Hello there!

Answer:

x = 39 2/7

Step-by-step explanation:

-14 - 14(x - 26) = -200

- 14 + 14 - 14(x - 26) = -200 + 14

-14(x - 26) = -186

-14(x - 26)/(-14) = -186/(-14)

x - 26 = 93/7

x - 26 + 26 = 93/7 + 26

x = 275/7

x = 39 2/7

The midpoint of the  1/3 and 6/11 as a fraction is, 29/33

The midpoint of two numbers can be found by taking the average of the two numbers. To find the average of two fractions, you need to find a common denominator, add the numerators, and divide the sum by the denominator.

Given that,

Two fractions,

1/3 and 6/11

To find the common denominator for 1/3 and 6/11, you can find the least common multiple (LCM) of the denominators:

LCM(3, 11) = 33

Next, convert each fraction to an equivalent fraction with a denominator of 33:

1/3 = 11/33

6/11 = 18/33

Finally, add the numerators and divide the sum by the denominator to find the average:

(11 + 18) / 33 = 29/33

The midpoint of 1/3 and 6/11 as a fraction is 29/33.

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Answer:

Option C, 3x = 30

Step-by-step explanation:

Cuz both angles are vertical angels and therefore congruent to each other.

Hope this helps!

Answer:

A

Step-by-step explanation:

For any given point on a parabola,

(x,y)

If we know the axis of symmetry x=a.

We can find the other point

If the given point x value is less than the axis of symmetry

(x+2a,y)

if the given point y value is greater than axis of symmetry

(x-2a,y)

Here, since 0<3, we use the first formula to find the new point

(0+2(3),-5)=(6,-5)

So the point is A.

Answer:

D. P(5+ 6's) = 0.4063

Step-by-step explanation:

Binomial distribution.

For the distribution to be applicable, the experiment must

1. Have a know and constant number of trials

2. Probability of success of each trial remains constant (and known if available)

3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.

4. Independence between trials.

Let  

n = number of trials  = 25

p = probability of success of each trial  = 1 / 6

x = number of successes  (0 ≤ x ≤ n)  = 5

C(n,x) = number of combinations of picking x identical objects out of n

Applying binomial distribution

P(x,n) = probability of x successes in an experiment of n trials.

= C(n,x) * p^x * (1-p)^(n-x)

For n = 25 trials with probability of success (roll a 6) = 1/6

and x = 5,6,7,8,...25

It is easier to calculate the complement by

P(5+ 6's) = 1 - P(<5 6's)

= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )

1- (

    P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961

    P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051

     P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532

    P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883

    P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171

)

= 1 - 0.59373

= 0.40626

= 0.4063 (to 4th decimal place)

The company survey 307 customers in order to get 98% confidence.

Sample proportion (p) = 0.5 (as no estimate is given)

α = 1 - 92% = 0.08.    Therefore, α/2 = 0.08/2 = 0.04

Z(α/2) = Z(0.04) = 1.751

Estimate = 5% = 0.05

Now, E = Z(α/2) * sqrt (p(1-p)/n)

n = (1.751/0.05)2 * 0.5 * (1-0.5)

n = 307

Hence, the company should survey 307 customers in order to be 98% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who are over the age of forty.

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SOLUTION

The image below shows the answer:

For a: The line in written as:

For b: The ray is written as:

For c: The segment is: