An oil globe made of hand blown glass of a diameter 22.6.what is the volume of globe.

Step-by-step explanation:

The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.

Therefore, the first row means that 0 family members caught 0 fish.

The second row means that 3 family members caught 1 fish.

The third row would mean 1 family member caught 2 fish.

The next row would mean 0 family members caught 3 fish.

And the final row would mean 4 family members caught 4 fish.

The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.

Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).

The ordered pair which makes both inequalities true is: D. (3, 0).

Here, we have,

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

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complete question:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.

(0,0)

(0,–1)

(1,1)

(3,0)

Answer:

y = 5/3x + 20/3

Step-by-step explanation:

Points on the graph: ( -4, 0) and (1, -5)

Slope:

m=(y2-y1)/(x2-x1)

m=(-5-0)/(1-4)

m=(-5)/(-3)

m=5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 0 = 5/3(x + 4)

y = 5/3x + 20/3

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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

Beginning with an "If-then" statement ⇣

If 2/5 = 30 then 1/5 = 15

Now we have 1/5, let's make it 1 by multiplying x5.

15 x 5 = 75

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Good luck! :)

~pinetree

Answer:

2t+16

Step-by-step explanation:

4(t+6)-2(t+4)

= 4t+24-2t+8

= 2t+16

=2(t+8)

Answer:

WE CANT ANSWER WITH THAT LITTLE OF INFORMATION

a=1×10, b=2×2×5, c=5×5 and d=2×5. Option a, b and d are the prime factorization of 10 but option c is not a prime factorization of 10.

Given that,

a=1×10, b=2×2×5, c=5×5 and d=2×5

We have to find the prime factorization of 10.

A natural number other than 1 is said to have a prime factor if its only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on. So, let's take something like the number 20 as an example. That can be divided into two components. We can say, "Well, that's 4 times 5." Note that the number five is a prime.

Option a is 1×10

1×10=10

Option a is a prime factor of 10.

Option b is 2×2×5

2×2×5=10×2

Option b is a prime factor of 10.

Option c is 5×5

5×5=25

Option c is not a prime factor of 10.

Option d is 2×5

2×5=10

Option d is a prime factor of 10.

Therefore, Option a, b and d are the prime factorization of 10 but option c is not a prime factorization of 10.

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Answer:

The answer is X = 18

Step-by-step explanation:

2x/3 - 7 = 5

Multiply both sides if the equation by 3 : 2x - 21 = 15

Move the constant to the right hand side and change its sign : 2x = 15 + 21

Calculate 2x = 15 + 21

2x = 36

Divide both sides of the eqaution by 2 : 2x = 36

x = 18

Answer X = 18

Since a is parallel to b , taking CE as transversal

m< CED = m<3 = 58° (alternate interior angles)

Answer:

Step-by-step explanation:

Since line A is parallel to line B, then angle 1 and angle D are alternate interior and are congruent. That means that angle 1 is 60. Angle 2 can be found by  subtracting 60 + 58 from 180:

180 - 60 - 58 = 62. Now to find angle 3, we just subtract angle 1 and angle 2 from 180:

180 - 60 - 62 = 58 (which works out perfectly because angle 3 and angle E are congruent as we just found out!)

Step-by-step explanation:

You multiply the two other sides by itself like 12x12=144 and do that for all the sides that you know then you add up all of the numbers you got from adding like 144 plus 64 equals 208 and then 208 is the hypotenuse.

The left side 27394.0992 does not equal to the right side 106, which means that the given statement is false.

False.

Answer:

Step-by-step explanation:

The exponents subtract. really easy 7-2=5

There are infinite possiblities to this.

SonicIsCoool, im at your service if you need more help :)

Thank you.

Answer:

\(\frac{a^{8} }{a^{3} }\)

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then

\(\frac{a^{8} }{a^{3} }\) = \(a^{(8-3)}\) = \(a^{5}\)

I believe the balance would be $10,601.42

Hopefully that is the right answer

...........................

The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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Answer:

The angle between the diagonal of the rectangle is \(\frac{\pi }{2}\).

Given:

The vertices of the rectangle are

a = (1, 0), b = (0, 3), c = (3, 4), and d = (4, 1)

To find:

The objective is to find the angle between the diagonals.

Step 1 of 3

Consider the diagram attached.

Step 2 of3

The position vector of diagonal AC is-

=(3-1)î+(4-0)j=2î+4j

And the position vector of diagonal BD is-

=(4-0)î+(1-3)j=4î-2j

Step 3 of 3

cosθ=\(\frac{AC.BD}{|AC|.|BD|}\)

cosθ=\(\frac{(2i-4j)(4i-2j)}{\sqrt{2^2+4^2} \sqrt{4^2+(-2)^2\\} }\)

=\(\frac{8-8}{\sqrt{20}.\sqrt{20} }\)

=0

θ=\(cos^{-1}\)(0)

θ=\(\frac{\pi }{2}\)

Therefore the angle between the diagonal of the rectangle is \(\frac{\pi }{2}\)

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The angle between the diagonals of a rectangle is π/2

The vertices of the rectangle are

a = (1, 0), b = (0, 3), c = (3, 4),  d = (4, 1)

The diagonal position vector AC  

=(3-1)î+(4-0)j=2î+4j

And the diagonal position vector BD  

=(4-0)î+(1-3)j=4î-2j

cos Ф = (AC.BD) / (|AC| . |BD|)

cos Ф = (8-8) / (root20 -roo20)

= 0

Ф = π/2

Therefore the angle between the diagonals of the rectangle is π/2

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Answer:

x=0, x=3, x=-2

Step-by-step explanation:

factor the equation

x(x^2-x-6)

factor more

x(x-3)(x+2)

set it equal to 0

x(x-3)(x+2)=0

plug in numbers for x that would result in the answer being 0

0(0-3)(0+2)=0

3(3-3)(3+2)=0

-2(-2-3)(-2+2)=0

Answer:

Answer:

Mass of a bouquet  = v + 3d + 4t

Step-by-step explanation:

Mass of daffodil = d gm

Mass of Tulip = t gm

Mass of vase = v gm

Mass of a bouquet = mass of vase + Mass of 3 daffodils + Mass of 4 tulips

=> Mass of a bouquet  = v + 3d + 4t

Flower bouquet weight = v + 3d + 4t

Answer:

Step-by-step explanation:

Situation Expression

Number of bouquets 555

Mass of one bouquet 3d+4t+v

Mass of the tulips in one bouquet   4t

Mass of the daffodils in one bouquet   3d

Answer:

a = 3h + 2.50b

Step-by-step explanation:

Greg picks apples to make money over the summer. He earns $3 an hour plus $2.50 for each bushel he picks. Write a formula that will help Greg determine how much money he will earn in one week.

Let

a = Total amount earned

h = Hours worked in one week

b = Number of bushels picked

Solution:

Amount earned per hour = $3

Amount earned per bushel picked = $2.50

Total amount earned = (Amount earned per hour) ( Hours worked in one week) + (Amount earned per bushel picked) (Number of bushels picked)

a = 3*h + 2.50*b

= 3h + 2.50b

a = 3h + 2.50b

In a unimodal, symmetrical distribution, the mean, median, and mode are the same. In a unimodal, symmetrical distribution, all three measures of central tendency—the mean, median, and mode—are identical and have the same value.

In a unimodal, symmetrical distribution, the data is centered around a single peak and exhibits symmetry, meaning that the left and right sides of the distribution mirror each other. This type of distribution is often referred to as a symmetric distribution. In such cases, the mean, median, and mode all coincide and have the same value. The mean of a distribution is calculated by summing all the data points and dividing by the total number of data points. In a symmetrical distribution, the values on both sides of the peak contribute equally to the mean, resulting in a balanced distribution. The median is the middle value of the data when it is arranged in ascending or descending order. In a symmetrical distribution, the median is located at the peak of the distribution since the left and right sides are mirror images. Therefore, the median is the same as the mean and mode. The mode represents the most frequently occurring value(s) in the distribution. In a symmetrical unimodal distribution, the peak occurs at the center, and since the distribution is symmetrical, there is only one mode, which is located at the peak. Consequently, the mode is also the same as the mean and median.

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Answer:

i think 89

Step-by-step explanation:

Answer:

m∠6 = 117º

m∠7 = 63º

Step-by-step explanation:

m∠3 = m∠7 = 63º(corresponding angles)

180º - m∠3 = m∠6 = 117º (same side interior angles are supplementary)

or

180º-m∠7 = m∠6 = 117º (linear pair)

Check the picture below.

Answer:

Step-by-step explanation:

We can use the standard normal distribution to solve this problem by standardizing the score.

z = (x - mu) / sigma

Where:

x = 70 (score we are interested in)

mu = 60 (mean score)

sigma = 7 (standard deviation)

z = (70 - 60) / 7 = 1.43

Using a standard normal distribution table or calculator, we can find the probability that z is greater than 1.43. The probability is approximately 0.0764.

Therefore, the probability that a randomly selected student scored more than 70 on the exam is 0.0764 (or about 7.64%).

Answer:

A, B

Step-by-step explanation:

1. A

because the intersection of the line is the solution so no solution means they do not intersect

2. B

because the points on the line that is on top of another line are all solutions and lines have infinite number of points

Answer:9

Step-by-step explanation:

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

b) Circumference of circle with diameter 7 units

c) Diameter of circle with area 121π square units

d) Area of circle with circumference 20π units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

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The correct options for the given rational numbers are (a) ii and iv.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. The natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.

To compare the rational numbers, we need to perform the given operations and determine their relative magnitudes:

i. -2.3 - 1.3 = -3.6

ii. -2.3 -1.3 = -3.6

iii. -2.3 > -3.3

iv. -2.3 -3.3 = -5.6

Comparing i and ii, we see that they are equal. Therefore, both options i and ii are true.

Comparing iii, we see that -2.3 is greater than -3.3. Therefore, option iii is true.

Comparing iv, we see that -5.6 is less than both -2.3 and -3.3. Therefore, option iv is false.

So, the correct options are (a) ii and iv.

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Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

Answer:

x=5 miles

Step-by-step explanation:

first you have to get his constant speed or his rate

rate = time / distance

so in this case 27/3 which equals 9,

1 mile = 9 minutes

then, you would set up your equation

9 minutes = 1 mile

45 minutes = x miles

cross multiply , 45 * 1= 45 , then divide by 9

x = 5 miles