Harvey the Huge once lifted a box filled with 100 bricks and 50 rocks. Each brick weighed 10 pounds. The rocks were all fairly small. What is the total weight of what Harvey lifted?

Answer:

4.25

Step-by-step explanation:

she has a total of 20 dollars and she wats to buy ice cream each at 3.15 for a total of 5 people including her self.

so 3.15(5) is 15.75

then subtract 15.75 from 20

20 - 15.75 = 4.25

Different starting lineups can be created - 120+60+120=300. A certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward.

1. A lineup without x is an example. You must decide.

It can be made as -

2C5 × 2C3× 1C4 = 10× 3×4 = 120 ways

2. Consider starting lineups with guard x. You must decide.

1C5×2C3×1C4 = 5×3×4 = 60 ways

3. Think about lineups where x is the forward. You must decide.

2C5×1C3×1C4 = 10×3×4 = 120 ways.

Therefore, total number different lineups is - 120+60+120=300.

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The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

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The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

Answer:

b

Step-by-step explanation:

Answer:

a is most likely to be the answer

Step-by-step explanation:

200% = 2

5/2=2.5

a) As per the magnitude, the value of r is Emaximum is 40-50 kV/mm.

b) The breakdown voltage of the coaxial capacitor with the given parameters is approximately 27.3 volts.

In order to determine the value of r at which Emax occurs, we need to find the point on the inner cylinder where the electric field is perpendicular to the surface. This occurs at the point where r = a/√(3), which is approximately 0.577 times the radius of the inner cylinder.

To calculate the breakdown voltage of the coaxial capacitor, we need to know the dielectric strength of the material. For mica, the dielectric strength is typically around 40-50 kV/mm. Using the given values of a=1cm, b=2cm, and & = 6, we can calculate the maximum electric field strength as:

Emax = V / ln(2)

We can then use the dielectric strength of mica to find the breakdown voltage:

Breakdown voltage = Emax / (dielectric strength of mica)

= (V / ln(2)) / (6 x 10⁷ V/m)

= 27.3 V

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Answer:

Step-by-step explanation:

a) a 99% confidence interval calculated from the same sample data would be longer than the 95% confidence interval, b) the statement that there is a 95% chance that µ is between 0.49 and 0.82 is incorrect

c) to compute a 90% confidence interval with a width of 2.3 and given a population standard deviation of 5.6, a sample size of approximately 71 is needed.

a) A 99% confidence interval provides a higher level of confidence compared to a 95% confidence interval. As the level of confidence increases, the width of the confidence interval also increases. This is because a higher confidence level requires a wider interval to capture a larger proportion of possible population values. Therefore, the 99% confidence interval calculated from the same sample data would be longer than the 95% confidence interval.

b) The statement that there is a 95% chance that µ (the population mean) is between 0.49 and 0.82 is incorrect. Confidence intervals are not a measure of the probability of a parameter falling within the interval. Instead, they provide a range of values within which the true parameter is likely to lie. The interpretation of a 95% confidence interval is that if we were to repeat the sampling process many times and construct 95% confidence intervals, approximately 95% of those intervals would contain the true population parameter. However, for any specific confidence interval, we cannot make probabilistic statements about the parameter's presence within that interval.

c) To compute a confidence interval with a specific width, we can use the formula:

Sample Size (n) = (Z * σ / E)^2,

where Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the desired margin of error (half the width of the confidence interval). In this case, the desired confidence level is 90%, the desired width is 2.3, and the population standard deviation is 5.6. Plugging these values into the formula, we can solve for the sample size (n).

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The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Josephine can choose three books (one chemistry, one history, and one statistics) in 60 ways using the multiplication principle.

To calculate the number of ways Josephine can choose one book of each type to study, we can use the multiplication principle, which states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event.

So, to solve this problem, we need to multiply the number of ways Josephine can choose one chemistry book, one history book, and one statistics book.

The number of ways to choose one chemistry book from two is 2 (since there are only two options).

The number of ways to choose one history book from three is 3.

The number of ways to choose one statistics book from ten is 10.

Therefore, the total number of ways Josephine can choose one book of each type to study is:

2 x 3 x 10 = 60

So there are 60 ways for Josephine to choose the three books she wants to study.

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The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

a. Highest 10 percent

b. Middle 50 percent

Answer:

the weight that corresponds to  Highest 10% = 337.8

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Step-by-step explanation:

From the information provided for us:

we have the mean = 325

the standard deviation = 10

The objective is to find the weight that corresponds to each event  i.e for event (a) , highest 10%

So;

The probability of P (Z > z) = 10%

Same as:

0.1 = 1 - P( Z < z)

P( Z < z) = 1 - 0.1

P( Z < z) = 0.9

From the standard normal tables for z;

P( Z < 1.28) = 0.9

z = 1.28

Similarly. from the z formula; we have:

\(z = \dfrac{X - \mu}{\sigma}\)

\(z \times \sigma = X - \mu\)

\(z \times \sigma + \mu= X\)

\(X= z \times \sigma + \mu\)

X = (1.28 × 10) + 325

X = 12.8 + 325

X = 337.8

Therefore, the weight that corresponds to  Highest 10% = 337.8

b.  the weight that corresponds to  Middle 50 % can be computed as follows:

the region of z values at 0.50 lies between -0.674 and +0.674

from the z formula; we have:

\(z = \dfrac{X - \mu}{\sigma}\)

\(z \times \sigma = X - \mu\)

\(z \times \sigma + \mu= X\)

\(X= z \times \sigma + \mu\)

X = -0.674 × 10 + 325  and  X = 0.674 × 10 + 325

X = - 6.74 + 325   and      X = 6.74  + 325

X = 318.26  and    X = 331.74

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

f(x) is increasing on the interval (-∞, -3) and decreasing on the interval (-3, -2) and (−2, ∞). The local minimum occurs at (-3, -25/3) and the local maximum occurs at (-2, -10/3).

To find the critical points, we need to find where the derivative of the function is equal to zero or undefined. Taking the derivative of f(x), we get:

f'(x) = x² + 5x + 6

Setting f'(x) equal to zero and solving for x, we get:

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

These are the critical points of the function. To determine where the function is increasing or decreasing, we can use the sign of the derivative in the intervals between the critical points. We can create a sign chart as follows:

-3       -2

+        -

f'(x)   +       -

f(x)    concave up    concave down

To determine whether the critical points are local minima or maxima, we can use the Second Derivative Test or simply evaluate the function at the critical points. We have:

f(-3) = 1/3(-3)³ + 5/2(-3)² + 6(-3) + 4 = -25/3
f(-2) = 1/3(-2)³ + 5/2(-2)² + 6(-2) + 4 = -10/3

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Answer:

Th answer is 220

Step-by-step explanation:

The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given below.

x² + y² – 18x + 8y + 5 = 0

Add and subtract 97, then we have

x² – 18x + y² + 8y + 97 – 97 + 5 = 0

x² – 18x + 81 + y² + 8y + 16 – 92 = 0

                        (x – 9)² + (y + 4)² = 92

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Answer:

It will take about 13.5 years for the money to grow to $5,500
That would be about 13 years and 6 months

Step-by-step explanation:

The formula for accrued amount(principal + interest) is given by:
\(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\quad(1)\\\)

where
P = Principal amount
r = R/100 where R is the annual interest rate as a percentage
n= number of times compounded per year
t = number of years

Given

A = $5,600
P = $3,500
R = 3.35% ==> r = 3.35/100 = 0.0335
n = 12 (since there are 12 months in a year)

We have to find out t

Plugging known values into equation (1)

\(5500 = 3500\left(1+ \dfrac{0.0335}{12}\right)^{12t}\\\\5500 = 3500 \left(1+ 0.002791\right)^{12t}\\\\5500 = 3500 (1.002791)^{12t}\)

Switch sides so unknown appears on the left side:
\(3500 (1.002791)^{12t} = 5500\)

Divide by 3500 both sides:
\((1.002791)^{12t} = \dfrac{5500 }{3500}\\\\(1.002791)^{12t} = 1.5714\\\\\)

Take logs on both sides:
\(\ln \left(1.002791^{12t}\right)=\ln \left(1.5714\right)\\\\\)

We have
\(\ln \left(1.002791^{12t}\right) = 12t\ln \left(1.002791\right)\\\\\)

Therefore we get
\(12t\ln \left(1.002791\right)=\ln \left(1.5714\right)\\\\t\ln \left(1.002791\right)=\ln \left(1.5714\right)\\\\\\\)

Dividing both sides by \(12\ln \left(1.002791\right)\) this works out to
\(t=\dfrac{\ln \left(1.5714\right)}{12\ln \left(1.002791\right)}\)

\(t = 13.51359\; years\)

Rounding to one decimal place
\(t = 13.51\; years\\\)

This would be roughly 13 years and 6 months

Answer:

Step-by-step explanation:

25.12 inches around means diameter. So radius = 12.56 inches

   volume  \(= \pi r^2 \times h =\pi \times 12.56^2 \times 66 = 32709.44 \ in^3\)

Answer:

The volume of the drained pipe is 32692.11 in ³.

Step-by-step explanation:

Diameter of drainage pipe = 25.12 in

So, radius , r = 25.12 in = 12.56 in

Height of drainage pipe, h = 66 in.

Volume of the drainage pipe

We know that,

Volume of cylinder = π × r ² × h

substitute the values

Volume of pipe = 3.14 × (12.56 in)² × 66 in

simplify

Volume of pipe =3.14 ×157.7536 in² × 66in

multiplying ✖ the values

Volume of the pipe = 32,692.11 in ³

Therefore, the volume of the drained pipe is 32692.11 in ³.

Answer:

4 - show that corresponding angles are congruent

Step-by-step explanation:

I believe this is the answer you're looking for

Answer:

First one: 114

Second one: 64

Step-by-step explanation:

For the first one, you can break apart the shapes to a square and a rectangle

The square is 7 x 7 (12 - 5 = 7)

The rectangle is 13 x 5

The square is 49

The rectangle is 65

Add them together

The first one is 114

For the second one you can break it apart to a triangle and a rectangle

The rectangle is 4 x 12

The triangle is 0.5 * 8 * 4   [8 is 12 - 4 (base)]

The rectangle is 48

The triangle is 16

Add them together

48 + 16 = 64

The second one is 64

Step-by-step explanation:

33÷8= 4 with one left over

4 and 1/8 is your mixed number!

The statement p is: Saturn is a planet.

The statement q is: Hong Kong is a city.

Now the first part of our composite proposition is:

This means that we have to negate the statement q, this would be: Hong Kong is not a city.

Now we make the disjunction between the statement p and the negation of q, then we have:

The second part of our composite porposition is:

This means that we have to negate the statement p, then we have: Saturn is not a planet. Then we make the conjunction between the negation of p and q, then we have:

Finally we make the disjunction between the statements discussed so far, hence the statament

means:

Saturs is a planet or Hon kong is not a city OR Saturn is not a planet and Hong Kong is not a city.

Now, to determine the truth value of the composite proposition we have to remember that a disjunction is TRUE if one of the statements that make it is true and that the conjunction is TRUE only if both stataments that make it are true.

The first statement is: Saturn is a planet or Hong kong is not a city. Since this is a disjunction and the statement Saturn is a planet is TRUE, then the proposition is true.

The second statement is: Saturn is not a planet and Hong Kong is not a city. Since this is a conjunction and the statement Saturs is not a planet is FALSE, the the second statement is FALSE.

Now since the composite statemtent is made of a TRUE and a FALSE statement and it is a disjunction we conclude that the truth value of the statement given is TRUE.

The linear regression that predicts the offspring is The regression equation is y = 0.2134x + 0.513  and the box plot of the data is illustrated below.

The term called box plot is defined as a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Here we have know that a scatter plot showing the relationship between father and offspring telomere length.

Then the box plot of the data is plotted as follows.

=> 0.281, 0.301, 0.282, 0.425, 0.463, 0.514, 0.506, 0.535, 0.556, 0.59, 0.49, 0.435, 0.482, 0.504, 0.524, 0.487, 0.554, 0.588, 0.631, 0.664, 0.698, 0.513

Then the linear regression is written as

=> y = 0.2134x + 0.513

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Answer:

The measure of the missing angle is 25 degrees.

Answer:

.145

Step-by-step explanation:

Answer:

2 1/3

Step-by-step explanation:

Answer:

1/4 is used for warehouse workers.

Step-by-step explanation:

If 1/4 is used for management and 1/2 are used for sales, together, that's only a total of 3/4 leaving 1/4 left for warehouse workers.

Hope this helps.

Answer:

15 rooms (1/4)

Step-by-step explanation:

No of rooms for the management: 60 × 1/4 = 15

No of rooms for the sales: 60 × 1/2 = 30

No of rooms for warehouse workers: Total rooms - (No of rooms for the management + No of rooms for the sales)

= 60 - (15 + 30)

= 60 - 45

= 15

The number of rooms for the warehouse workers is 15 (which is 1/4 of the total number of rooms).

Answer:

whats density

Step-by-step explanation:

Answer:

7 is the value of x.

Step-by-step explanation:

Now we have to,

find the required value of x.

→ -18x - 19 = -145

→ -18x = -145 + 19

→ -18x = -126

→ x = -126/-18

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:

Ans=50

Step-by-step explanation:

l×b×h=2×5×5

ans=50

Answer:

104 swimmers

Step-by-step explanation:

ratio is 8:1

8 : 1

x : 13

x = 8 multiplied by 13

swimmers = 104