A 5.00 gram sample of lead and a 3.20 g sample of iron are placed into 367 ml of water. what will be the new volume level of water in units of ml? the density of lead is 11.34 g/cc and the density of iron is 7.874 g/cc. do not enter ""ml"" as part of your answer.

Answer:

Mean = 125.136

Median = 110

Mode = 180

Step-by-step explanation:

Given the data:

75 95 180 136 89 75 110 180 100 136 180 95 180 136 75 100 110 180 180 136 75 90

Frequency distribution:

Value(X) ___freq (F) ____cumm frequency

85 _________ 4 _______ 4

89 _________ 1 _______5

90 __________1 _______6

95 __________2 ______ 8

100 _________ 2 ______10

110 __________2______ 12

136 __________4 _____ 16

180 __________6______22

2) Using the frequency distribution :

Mean = Σfx / Σf

[(85*4) + (89*1) + (90*1) + (95*2) + (100*2) + (110*2) + (136*4) + (180*6)]/ 10

= 2753 / 22

= $125.136

Median of grouped data :

Frequency + 1 / 2 = 23/2 = 11.5 th term

The median value = $110

Mode of the data:

Most frequently occurring = 180 (frequency of 6)

The mean of the frequency distribution is $125.136, the median of the frequency distribution is $110, and the mode of the frequency distribution is $180.

Given :

a) The frequency distribution is given below:

Prices              Frequency       Cumulative Frequency

85                           4                                 4

89                            1                                 5

90                            1                                  6

95                            2                                  8

100                           2                                 10

110                            2                                  12

136                            4                                 16

180                            6                                 22

b) The mean is calculated as:

\(\rm Mean = \dfrac{85\times4 + 89\times1 +90\times1 +95\times 2+100\times2 +110\times2 +136\times4 +180\times6 }{10}\)

Simplify the above expression.

Mean = $125.136

c) The median of the frequency distribution is calculated as:

\(\rm Term= Frequency + \dfrac{1}{2}=11.5\)

So, the median is $110.

The mode of the frequency distribution is $180.

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Answer:

10−(9)(−6)

=10−(−54)

=64

hope i helped

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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The work done is W = ∫x^2 dx + ∫xy dy = ∫x^2 dx + ∫xy √(36-x^2) dx

and to graph the force field we need to define force field as a function F(x,y) = x^2 i + xy j and the circle as a function C(x,y) = x^2 + y^2 - 36

(a) To find the work done by the force field on a particle that moves once around the circle oriented in the clockwise direction, we need to use the equation W = ∫F • dr.

Since the force field is given by F(x,y) = x^2 i + xy j and the circle is defined by x^2 + y^2 = 36, we can substitute these equations into the equation for work to get:

W = ∫(x^2 i + xy j) • dr

= ∫x^2 dx + ∫xy dy

To evaluate this integral, we need to find the path of the particle as it moves around the circle. Since the circle is defined by x^2 + y^2 = 36, we can write y in terms of x as:

y = √(36-x^2)

We can substitute this equation for y into the integral for work to get:

W = ∫x^2 dx + ∫xy dy

= ∫x^2 dx + ∫xy √(36-x^2) dx

We can then evaluate this integral using standard techniques, such as substitution or integration by parts.

(b) To graph the force field and circle on the same screen using a computer algebra system, we can define the force field as a function F(x,y) = x^2 i + xy j and the circle as a function C(x,y) = x^2 + y^2 - 36. We can then use the plotting functions of the computer algebra system to graph both functions on the same coordinate plane.

Thus, The work done is W = ∫x^2 dx + ∫xy dy = ∫x^2 dx + ∫xy √(36-x^2) dx and to graph the force field we need to define force field as a function F(x,y) = x^2 i + xy j and the circle as a function C(x,y) = x^2 + y^2 - 36.

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The coordinates weighted average is 6.

The whole query is as follows:

The weights of the coordinates 3 and 8 are 2 and 3, respectively. Additionally, we must determine the weighted average.

The parameters are as follows:

Three has a weight of two.

The weight of coordinate 8 is 3.

Next, the weight average is determined as follows:

Weight average is equal to the product of the weight and the coordinates.

We thus have:

Average weight: (3 * 2 + 8 * 3)/(2 + 3)

Assess the quotient.

Average weight = 6

Consequently, the coordinates' weighted average is 6

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Answer:

\(y\ =\ \ \tan\theta\ +2\)

Step-by-step explanation:

The two equivalent expressions are the second one and the last:

(56x + 24)/8 and 3 + 7x

We want to find an equivalent expression to 56x + 24 divided by 8, so we want to simplify the expression:

(56x + 24)/8   (that is the second expression)

We can distribute that division so we get:

(56x + 24)/8 = (56x)/8 + 24/8

Now we can simplify these two quotients so we get:

(56x)/8 + 24/8 = 7x + 3  (that is the last expression).

Then the two equivalent expressions are:

(56x + 24)/8 and 3 + 7x

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The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Answer:

1.90√2+20√3

2.30−12√6

3. -30

Step-by-step explanation:

Answer: 4 or x=−4

Step-by-step explanation:

If the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.

A triangle having all the three sides equal and all the angles equal is called the equilateral triangle.

As we can see that if the triangle is having all the angles equal then all three sides of the triangle must be equal. The triangle is termed the equilateral triangle.

Therefore the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.

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The height of the rectangular pyramid is 7 ft.

First, we know that the volume of a rectangular pyramid is given by:

\(V = B*H/3\)

Where B is the base, H is the height.

First, we know that the volume is 56 ft³, and the base is 24ft², then we can replace these two in the volume equation to get:

\(56 ft^3 = 24ft^2*H/3\)

Solving that for H, we get:

\(H = 3*(56ft^3/24ft^2) = 7ft\)

The height of the rectangular pyramid is 7 ft.

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Answer:

$9.89

Step-by-step explanation:

1. Divide 15 from 100, which leaves you with 0.15%.

2. Multiply 8.60 and .15; that will get you 1.29.

3. Finally, add 1.29 to 8.60 to get your answer!  

Step-by-step explanation:

subtract 21 from both sides

x2+2x+7-21=21-21

x2+2x+14=0

use quadratic equation

x=(-3+-(b^2-4ac)^1/2)/2a

in our equation a=1,b=2and c=14

(-2+-(14+56)^1/2)/2

x=-1+(60^1/2)/2

there is only one positive answer and it is 2.87

Answer:

-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)

Step-by-step explanation:

square root of 72 = 8.48528137 or 8.5 (rounding to tenths)

square root of 2 = 1.41421356 or 1.4

square root of 128 = 11.3137085 or 11.3

A triangular number can be represented as a product of two factors using a triangular arrangement of objects.

A triangular number is a number that can be represented with a triangular arrangement of objects, where it is the sum of consecutive integers starting from 1. For example, the triangular numbers include 1, 3, 6, 10, 15, 21, and so on.

To represent a triangular number as a product of two factors, we can use a specific factorization method. By arranging the triangular number in a triangular shape, as shown in the given pattern, we can observe a pattern in the factors.

For example, consider the triangular number 6. It is the 3rd triangular number. By arranging it in a triangular shape, we have:

```

1

1 2

1 2 3

```

To factorize it, we can multiply the numbers in the same column. We get:

```

1

2

3

```

So, 6 can be expressed as 2 multiplied by 3.

Similarly, let's take the triangular number 15, which is the 5th triangular number. By arranging it in a triangular shape, we have:

```

1

1 2

1 2 3

1 2 3 4

1 2 3 4 5

```

By multiplying the numbers in the same column, we get:

```

1

2

3

4

5

```

So, 15 can be expressed as 3 multiplied by 5.

We can generalize this pattern. If we multiply an even number (2n) with an odd number (2n-1), the product will result in a triangular number.

In summary, a triangular number can be represented as a product of two factors using a triangular arrangement of objects. By multiplying an even number (2n) with an odd number (2n-1), we obtain a triangular number.

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300

The burger costs $0.625, the souvenir costs $3.75, and the pass costs $5.00.

Let's name the burger price "b," the souvenir price "s," and the pass price "p." Then, using the information provided, we can construct an equation system:

b + s + p = 35.75  (1) (The three things cost a total of $35.75.)

b = (1/6)s               (2) (the burger was one-sixth the price of the memento).

s = (3/4)p     (3) (the memento cost one-quarter the price of the pass)

b + s + p + 2 = 35.75       (4) (After purchasing these products, Dion had                        $2.00 left over.)

To remove s from the equations, we can apply equations (2) and (3):

b + (3/4)p + p = 35.75    (equations (1) and (3))

b = (1/6)(3/4)p                (Applying Equation (2))

b = (1/8)p

This expression can now be substituted by Input b into equation (1):

(1/8)p + (3/4)p + p = 35.75

(7/8)p = 35.75

p = 35.75 / (7/8)

p = $5.00

We may calculate the cost of the keepsake using equation (3):

s = (3/4)p = (3/4)($5.00) = $3.75

Finally, we can calculate the cost of the burger using equation (2):

b = (1/6)s = (1/6)($3.75) = $0.625

As a result, the burger costs $0.625, the souvenir costs $3.75, and the pass costs $5.00.

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Answer:

x<3

Step-by-step explanation:

Answer:

-3.6 degrees

Step-by-step explanation:

Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.

3 * 5.2 = 15.6

Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.

12 - 15.6 = -3.6

Finally, we can see that the temperature is -3.6 degrees

Answer:

Multiply the quotient of the number and the total by 360 degrees.

Step-by-step explanation:

If there are three parts that you want to convert to a circle graph (say 12, 9 and 15)

Step 1: Add all the numbers together.

12+9+15 =36

Step 2: Multiply the quotient of each number and the total by 360 degrees.

These are:

\(\dfrac{12}{36}\times 360^\circ = 120^\circ\\\dfrac{9}{36}\times 360^\circ = 90^\circ\\\dfrac{15}{36}\times 360^\circ = 150^\circ\)

This is how you convert a number for a part into its corresponding angle measure.

Answer:

D

Step-by-step explanation:

If we plug in the points to A, not all 3 of them work so A is not the answer. If we repeat this process with the other functions we see that the answer is D.

A model is a representation that we can be able to use to solve a given mathematical problem.

To create a model to represent 4 ÷ 1/5, we can use a visual representation of division known as the "sharing" or "grouping" model. Here are the steps to create the model:

Draw a rectangle to represent the whole amount, which in this case is 4.

Divide the rectangle into five equal parts, to represent the denominator of 1/5.

Shade in one of the five parts to represent the numerator of 1/5.

Label the shaded part with the fraction 1/5.

Divide the whole rectangle into four equal parts, to represent the dividend of 4.

Share or group the four equal parts into the five parts represented by the denominator.

Count how many groups of five there are, which represents the answer to the division problem 4 ÷ 1/5.

Label the answer as a mixed number or fraction if necessary.

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Absolutely, over result will match in part b and c

Geogebra tools are software which is used to study an absolute geometry with zero errors.

Since, Geogebra contains various tools, In part b we have drawn a square through polygon command. Its allows  to select the number of sides, so we select 4 cause square requires 4 equal sides.
Now, we very it in c part just by drawing a 4 connected lines which have 90° adjacent angles.
                    Here, by comparing their geometry it seems identical

Thus, the result, in part b and c matches for each other.

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