Help help help math math math

None of the chosen pairs will be dependent as nothing is specified.

Independent events are those events whose occurrence does not have any effect on the events that may occur or occurred.

Dependent events are those vents whose occurrence either depends on some other event or has an effect on occurring or occurred vents.

Given, The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.

As not mentioned that what kind of book he chooses first or types of book.

Also which shelf he chooses first choosing the first book is independent

and choosing the second book is also independent so none of the chosen pair will be dependent.

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Answer:

C

Step-by-step explanation:

Alright. So just from looking at the picture, you can tell that the triangle is isosceles. It's useful to memorize the picture I've provided.

<A ~= <B

40 = <B

The angles in a triangle add up to 180.

180- <A - <B = 180 - 40 - 40 = 100

That means angle C is 100 degrees.

Answer:

Subtraction Property of Equality

Step-by-step explanation:

you should subtract both side with 7 first.

The ordered pair in the set of numbers are 1.5 and 5.5. Option C is correct here.

The equation would have to be in the form of y = mx + b

We have b = 7, this is when x ix 0. It is the value of y

Using the pair (0, 7) and (1, 6)

The slope would be : (6 - 7)/(1 - 0)

= -1 / 1 = -1

we would put -1 in the slope equation

where m = -1 and b = 7

Hence y =  -x + 7

Next we would have to use (0, 1) and (1, 4)

similarly,  (4 - 1)/(1 - 0)

= 3 / 1

= 3

we would have to substitute the value of 3 iun the slope equation using b as 1

y = 3x + 1

Since we have two equations given as

y = -x + 7

y = 3x + 1 => Eqn. 2

We would have to solve the simultaneous linear equation as follows, put the value of 1 in 2

-x + 7 = 3x + 1

take the like terms

Collect like terms

4x = 6

x = 1.5

put the value of x in the first equation

y = -x + 7

y = -1.5 + 7

= 5.5

Hence the pair is given as  1.5 and 5.5

Option c is right.

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Answer:

Negative change

Step-by-step explanation:

Given

\(Monday\ Temperature = 5\ deg\)

\(Thursday\ Temperature = -8\ deg\)

First, we need to calculate the overall change in temperature

This is calculated by subtracting the initial temperature from the final temperature

\(Overall\ Change = Thursday\ Temperature - Monday\ Temperature\)

\(Overall\ Change = -8\ deg - 5\ deg\)

\(Overall\ Change = -13\ deg\)

The overall change shows a negative change in the temperature.

This is as a result of a drop in temperature from Monday to Thursday

Answer:

1:72

Step-by-step explanation:

The scale of a drawing is the ratio of the length in the drawing to the real length.

Drawing length: 7 inches

Real length: 42 ft × 12 in. / ft = 504 in.

Scale:

7 in. to 504 in.

Divide both numbers by 7:

1 in. to 72 in.

Scale: 1:72

Answer:

A,B,E,F

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

The correct answer is By finding the quotient of the bases to be one third and canceling common factors. Option D.

The Quotient of Powers Property states that when dividing two powers with the same base, you can subtract the exponents. In the given expression, we have three to the fourth power divided by nine.

To simplify this expression using the Quotient of Powers Property, we first need to recognize that nine can be written as three squared, since 3 multiplied by itself gives 9.

So, we have (3^4) / (3^2). According to the Quotient of Powers Property, we subtract the exponents: 4 - 2.

This gives us 3^(4-2), which simplifies to 3^2. Therefore, the expression three to the fourth power all over nine equals three squared.

It states that we find the quotient of the bases to be one third and cancel common factors. In this case, the bases are 3 and 3, and their quotient is indeed one third. Additionally, there are no common factors that can be canceled, as the expression does not contain any variables or additional terms.

Therefore, By finding the quotient of the bases to be one third and canceling common factors. accurately describes the steps involved in simplifying the expression using the Quotient of Powers Property.

We find the quotient of the bases (one third) and cancel common factors (which is not applicable in this case). Option D is correct.

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Note the complete question is

Explain how the Quotient of Powers Property was used to simplify this expression. (1 point)

Three to the fourth power all over nine equals three squared

A.) By simplifying 9 to 32 to make both powers base three and adding the exponents

B.) By simplifying 9 to 32 to make both powers base three and subtracting the exponents

C.) By finding the quotient of the bases to be one third and simplifying the expression

D.) By finding the quotient of the bases to be one third and cancelling common factors

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

\(\overline{x} = 43, s = 6, n = 20\).

Hence, the bounds of the interval are given by:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22\)

\(\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78\)

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

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Answer:

Assuming options are independent or not independent/dependent, it would be not independent

Step-by-Step:

Probability of (A given B) = Probability(A)

P(A & B) divided by P(B) = P(A)

(1/9)/(1/15) = 2/5

5/3 = 2/5

Since 5/3 doesn't equal 2/5, the events if A and B are not independent

Thank you so much friend.

I think a advantage of this will be that we will be able to tell our grandchildren about how we survived the pandemic, just like our grandparents talk about World War. Lol.

Answer:

One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing

Answer:

Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).

Step-by-step explanation:

A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with \(r=\frac{a_n}{a_{n-1}}\). For example, \(a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}\)

Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.

A geometric sequence can be used to model compound interest. An example of this is \(A = P (1 + \frac{r}{100})^n\) where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.

Option a: Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price

Given,

Braxton’s average monthly usage of lotion = 8 ounces

The amount of two different brands of lotion are given:

Brand A: 24 ounces for $3.30

Brand B: 40 ounces for $4.60

We have to find the monthly savings of Braxton if he purchases the brand that has the lowest price per ounce versus the highest price:

We have to calculate amount for one ounce for the two brands given:

Brand A:

24 ounces for $3.30

Amount for one ounce = 3.30/24

Amount for one ounce = $0.1375

Brand B:

40 ounces for $4.60

Amount for one ounce = 4.60/40

Amount for one ounce = $0.115

Now, we have to calculate the amount for 8 ounces.

Brand A:

8 x 0.1375 = 1.1

$1.1 for 8 ounces of Brand A lotion.

Brand B:

8 x 0.115 = 0.92

$0.92 for 8 ounces of Brand B lotion.

Now, we have to calculate the savings:

Brand A – Brand B

1.1 – 0.92 = 0.18

That is, Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price.

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Answer:

The things that you've learnt can be applied to other dramas and poems that you read by showing how all these elements help to show meaning in poems and dramas.

(sidenote: without knowing what other dramas and poems you are reading, this question is quite vague)

Answer:

1/12

Step-by-step explanation:

Answer:

There is a sufficient evidence to support the that machine 1 has the greater variance.

Step-by-step explanation:

The question with the complete details can be found online.

Start by stating the hypotheses.

The null hypothesis states that the variance of machine 1 is less than or equal to machine 2

So, we have:

\(H_o: \sigma_1 ^2 \le \sigma_2 ^2\)

The alternate hypothesis will then be:

\(H_a: \sigma_1 ^2 > \sigma_2 ^2\)

So, we have:

\(n_1 = 25\)               \(n_1 = 22\)

Calculate the mean of Machine 1 and 2

The mean is:

\(\bar x =\frac{\sum x}{n}\)

For machine 1, we have:

\(\bar x_1 =\frac{2.95+3.45+3.5+.....+3.12}{25}\)

\(\bar x_1 =\frac{83.21}{25}\)

\(\bar x_1 =3.3284\)

For machine 2, we have:

\(\bar x_2 = \frac{3.22 + 3.3 + 3.34 + ..... +3.33}{22}\)

\(\bar x_2 = \frac{72.12}{22}\)

\(\bar x_2 = 3.2782\)

Calculate the standard deviation of both machines

The standard deviation is:

\(\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}\)

For machine 1, we have:

\(\sigma_1 = \sqrt{\frac{(2.95 - 3.3284)^2+(3.45 - 3.3284)^2+(3.5 - 3.3284)^2+.....+(3.12 - 3.3284)^2}{25-1}}\)

\(\sigma_1 = \sqrt{\frac{(2.95 - 3.3284)^2+(3.45 - 3.3284)^2+(3.5 - 3.3284)^2+.....+(3.12 - 3.3284)^2}{24}}\)

\(\sigma_1 = 0.2211\)

For machine 2, we have:

\(\sigma_2 = \sqrt{\frac{(3.22 - 3.2782)^2+(3.3 - 3.2782)^2+(3.44 - 3.2782)^2+.....+(3.33 - 3.2782)^2}{22-1}}\)

\(\sigma_2 = \sqrt{\frac{(3.22 - 3.2782)^2+(3.3 - 3.2782)^2+(3.44 - 3.2782)^2+.....+(3.33 - 3.2782)^2}{21}}\)

\(\sigma_2 = 0.0768\)

Calculate the degrees of freedom

\(df=n-1\)

For machine 1;

\(df_1=25-1=24\)

For machine 2

\(df_2=22-1=21\)

Calculate the test statistic (t)

\(t = \frac{Var_1}{Var_2}\)

Rewrite in terms of standard deviation

\(t = \frac{\sigma_1^2}{\sigma_2^2}\)

\(t = \frac{0.2211^2}{0.0768^2}\)

\(t = \frac{0.04888521}{0.00589824}\)

\(t = 8.2881\)

Lastly, calculate the p value.

This is the value of P(t > 8.2881) between the degrees of freedom i.e. 21 and 24

From the f distribution table

\(P(t > 8.2881) < 0.01\)

Hence, we reject the null hypothesis

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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We have to evaluate the function when f(1), then:

Then, when f(1), the function at x = 1 have a value of -1 or f(1) = -1.

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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Simplify the expression.

149x

hope this is what your looking for

Step-by-step explanation:

x = the number

4x - 96 = x

3x = 96

x = 32

Answer:

1/10 each

Step-by-step explanation:

1 whole is equal to 10/10 and 5/10 is equal to half. Do if you only have 5/10 and you have 5 people they get 1/10 each

Answer: 1/6

Step-by-step explanation:

In this problem you would need to divide 1/2 by 3 so...

1

---   ÷   3  

2

1                      1

---             =     ---

2    *   3         6

When multiplying fractions by whole numbers you just multiple the denominator by the number.

Then you would simplify the fraction but in this case 1/6 is as simple as it would get.

Answer:

Step-by-step explanation:

To solve this problem, we need to find the number which express the whole park.

Notice that the park is divided in two sections, one occupies 5/8 of the total, and the other occupies 2/7 of the total. So, the sum would be

\(\frac{5}{8}+\frac{2}{7}=\frac{35+16}{56} =\frac{51}{56}\)

Now we have the total space there, we need to divide 5/8 by 51/56, so

\(\frac{5}{8} \div \frac{51}{56}=\frac{5}{8} \times \frac{56}{51}=\frac{280}{408} \approx 0.69\)

Therefore, the rink occupies 69% of the whole park, approximately, which is equivalent to 280/408.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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