hey could anyone help and also provide an explanation/working out? thanks a lot !

Answer:

y=1+1/3x

Step-by-step explanation:

Answer: c

Step-by-step explanation: it is a rational number because it repeats

Minitab is a statistical program that helps in analyzing data. In this case, the data provided represents the age of a sample of male and female employees in a large company.

To use Minitab for reliable answers, the following steps can be taken :Step 1: Enter the data in the worksheet of Minitab.

Step 2: Generate a boxplot of the data for each gender. From the graph, we can get an idea of the central tendencies and variability of the data for each group.

Step 3: Calculate the descriptive statistics of the data for each gender. This includes measures of central tendency such as mean, median and mode and measures of variability such as standard deviation and variance. These measures provide a summary of the data for each group.

Step 4: Conduct a hypothesis test to determine whether there is a significant difference between the ages of male and female employees. This can be done using a t-test or a z-test depending on the size of the sample and whether the population standard deviation is known or not. test to determine whether there is a significant difference between the ages of male and female employees.

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Yes, relational operators compare operands and return a Boolean value of true or false depending on whether the comparison is true or false.

Relational operators are used to compare two values and they include:

> greater than

< less than

>= greater than or equal to

<= less than or equal to

== equal to

!= not equal to

For example, the expression 5 > 3 would evaluate to true, while the expression 5 < 3 would evaluate to false. Similarly, the expression 4 == 4 would evaluate to true, while the expression 4 != 4 would evaluate to false. These operators are commonly used in conditional statements, loops, and other parts of a program where a comparison between values is required.

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Answer:

mean height of girls = 1.48 metres

Step-by-step explanation:

total height of all students = 1.515 x 32 = 48.48

total height of boys = 1.56 x 14 = 21.84

Total girls = 48.48 - 21.84 = 26.64

32 students - 14 boys = 18 girls

mean height of girls = 26.64/18 = 1.48 metres

Answer:

(D)7 in.

Step-by-step explanation:

A regular hexagon can be divided into six equilateral triangles.

Therefore:

\(b=\dfrac{c}{2}\)

Applying Pythagoras Theorem

\(c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.\)

Recall that b=c/2

Therefore:

\(b=4\sqrt{3} \approx 7$ in.\)

The value of b is 7 inches.

Responder:

(14 + 5) - (6 x 2)

Explicación paso a paso:

Para la operación dada:

14 + 5-6 x 2

Siguiendo la prioridad de operación matemática BODMAS.

Multiplicamos antes de realizar la suma:

-6 * 2 = 12

Ahora;

14 + 5 - 12

19 - 12 = 7

Por tanto, comprobamos cuál de las opciones nos da 7

(14 + 5-6) x 2

13 * 2 = 26

(14 + 5) - (6 x 2)

19 - 12 = 7

Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto

Answer:

59049x^20

Step-by-step explanation:

3^2=9

9^5= 59049

x^4*5= x^20

Answer:

11.4

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Answer:

65.8%

Step-by-step explanation:

94.3x100/143.3=65.8

a) The null hypothesis, H0: p1 - p2 = 0, states that there is no real change in opinion among U.S. adults from May to June. The alternative hypothesis, Ha: p1 - p2 ≠ 0, states that there is a real change in opinion among U.S. adults from May to June.

(b) Under the null hypothesis, the difference in the percentages is expected to be 0%. The estimated standard error for this difference can be calculated as sqrt((p1(1-p1)/n1)+(p2(1-p2)/n2)), where p1 and p2 are the sample proportions for May and June, respectively, and n1 and n2 are the sample sizes for May and June, respectively.

(c) The two-sample z test statistic can be calculated as (p1-p2)/SE, where p1 and p2 are the sample proportions for May and June, respectively, and SE is the estimated standard error for the difference in proportions.

(d) The p-value can be calculated as the area under the normal distribution curve to the left of the negative of the absolute value of the z test statistic plus the area under the normal distribution curve to the right of the absolute value of the z test statistic.

(e) Our conclusion depends on the significance level chosen and the p-value obtained. If the significance level is chosen to be 0.05 and the p-value obtained is less than 0.05, then we reject the null hypothesis and conclude that there is evidence for a real change in opinion among U.S. adults from May to June.

If the p-value obtained is greater than or equal to 0.05, then we do not reject the null hypothesis and conclude that there is not enough evidence to support a real change in opinion among U.S. adults from May to June.

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Answer:

64, 32, 16

Step-by-step explanation:

a. δ^2 = 64, b. s^2 = 8, c. δ = 8 and d. s = 2.82843, The population variance is 64 and the population standard deviation is 8.

To find the population variance, we first need to find the mean of the data set. The mean is calculated by adding all of the values in the data set and then dividing by the number of values. In this case, the mean is 20.

Once we have the mean, we can find the squared deviations from the mean for each data value. The squared deviation from the mean for a data value is calculated by subtracting the mean from the data value and then squaring the result.

In this case, the squared deviations from the mean are:

The sum of the squared deviations from the mean is 380.

The population variance is calculated by dividing the sum of the squared deviations from the mean by the number of values in the data set. In this case, the population variance is 380 / 5 = 64.

The population standard deviation is calculated by taking the square root of the population variance. In this case, the population standard deviation is √64 = 8.

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The amount Bennet will have when he turns 18 will be equal to $3020.

Compound interest is the type of interest charged by banks or institutions on individuals in which the amount after 1 year becomes the principle for the next year. It can be calculated daily, monthly or yearly etc. The formula for compound interest compounded daily will be

A = P(1 + r/n) ^nt, where A is the amount, P is the principle, which is equal to $2000, r is rate of interest which is 3.2% or 0.032, n is compounding frequency which is equal to 365 and t is the time which is equal to 13 years. Now, the amount will be

A = 2000(1 + 0.032/365) ^365×13

A = 2000(1.51)

A = $3020 which is the required amount.

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Answer:

Slope of line 'k' = \(\frac{1}{2}\)

Slope of line 'm' = \(-\frac{1}{4}\)

Step-by-step explanation:

Slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Slope 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)

Sloe of line 'k' which is passing through (-2, 2) and (2, 4) will be,

m = \(\frac{4-2}{2+2}\) = \(\frac{1}{2}\)

Slope of line 'm' having two points (-4, -1) and (0, -2),

m = \(\frac{-1+2}{-4-0}\) = -\(\frac{1}{4}\)

Answer:

17

Step-by-step explanation:

51 divided by 3 = 17

Answer:

17 orders per day

Step-by-step explanation:

That's a lot of orders - 51 divided by 3 equals 17.

Answer:

The answer is dilation by a scale factor of 2 followed by reflection about the y- axis.

Step-by-step explanation:

It will take 165 minutes for the word processor to word process and spell check 22 pages

Word processing is the process of writing or revising a document in a word processor. For instance, a student could use a word processing program to write a book report. The student could then print it, save it to a disk, view it on the screen, or email it.

The time it takes for a word processor to word process and spell check 4 pages = 30 minutes

So, 1 page is processed and spell-checked in 30/4 minutes = 7.5 minutes

To word process and spell check 22 pages it will take:

Time required to word process and spell check 1 page*22

= 7.5*22

= 165 minutes

So, it will take 165 minutes

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Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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The expression that is equivalent to 4⁴·4⁻⁹ is found to be 4⁻⁵. Hence option D is correct.

When multiplying exponential expressions with the same base, you add their exponents.

So, 4⁴⋅4⁻⁹ can be written as:

4⁴⁻⁹ = 4⁻⁵

Now, we know that a negative exponent means taking the reciprocal of the base raised to the positive exponent. Therefore,

4⁻⁵ = 1/4⁵

So, the expression 4⁴⋅4⁻⁹ is equivalent to the fraction 1 over 4 to the power 5. Therefore, the answer is 4⁻⁵.

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Complete question - Which expression is equivalent to 4⁴·4⁻⁹?

A. 4^13

B. 4^5

C. 4^-13

D. 4^-5

Answer:

its  C

Step-by-step explanation:

srry if im wrong:(

Answer:

y=2/x+3

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2

To prove that removing the root of a k-th order binomial tree results in k binomial trees of smaller orders, we will use mathematical induction.

Base case: For k = 1, removing the root of a 1st order binomial tree results in zero smaller binomial trees, which is true.

Inductive hypothesis: Assume that removing the root of a k-th order binomial tree results in k binomial trees of smaller orders, for some positive integer k.

Inductive step: We want to prove that removing the root of a (k+1)-th order binomial tree results in (k+1) binomial trees of smaller orders.

By definition, a (k+1)-th order binomial tree, denoted by B(k+1), is formed by joining two k-th order binomial trees, denoted by Bk, with one of them as the leftmost child of the root of the other. Let us remove the root of B(k+1) to obtain a new binomial tree, denoted by B'.

Since B(k+1) is formed by joining two k-th order binomial trees, we can apply the inductive hypothesis to each of them to obtain that removing their roots results in k smaller binomial trees each. Let these smaller binomial trees be denoted by B1, B2, ..., Bk and C1, C2, ..., Ck,

respectively.

Now, consider B' and observe that it is a k-th order binomial tree, since it has k children, each of which is a smaller binomial tree. Moreover, B' is obtained from B(k+1) by removing the root, which is the parent of the two k-th order binomial trees Bk and Ck. Thus, we have decomposed B' into k smaller binomial trees, namely B1, B2, ..., Bk and C1, C2, ..., Ck.

Therefore, we have shown that removing the root of a (k+1)-th order binomial tree results in (k+1) binomial trees of smaller orders, which completes the induction.

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Answer:

\( \frac{1}{256} \)

Step-by-step explanation:

Your total is 4 and each one is a individual (1)

so the probability of 1 ball would be :

\( \frac{1}{4} \)

because the question asks for the probability they are picked 4 times, we would need to multiply ¼ four times.

\( \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{256} \)

The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.

There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.

Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.

Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.

Cοunt the number οf negative numbers in Set B. There is 1 negative number.

Find the tοtal number οf numbers in Set A. There are 4 numbers.

Find the tοtal number οf numbers in Set B. There are 5 numbers.

Use the fοrmula:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

Plug in the values:

P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)

P(negative frοm Set A and negative frοm Set B) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

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