Round to the nearest hundredth 42.052

Answer: C) 45

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Answer:

6.5

Step-by-step explanation:

1. calculate using the equation

The increase in the mean for the second week compared to the first with the given parameters is; $0.40

Let us first find the mean of the lunch costs for the first week;

Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572

We are told that he spends a total of $2 more on lunch in the second week.  

Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.

Mean of second week = 49.86/5 = $9.972

The increase in the mean for the second week compared to the first is;

9.972 - 9.572 = $0.40

Read more about average increase at; https://brainly.com/question/11360390

The decimal 0.135 can be written as 27/200 in fractions.

A fraction is a number that can be expressed as p/q, where q is not equal to zero.

It is defined as part of the whole.

0.135 is a decimal and to convert into a fraction it has to be written as

=135/1000

On simplifying the fraction

=27/200

Therefore, the decimal 0.135 can be written as 27/200 in fractions.

To know more about Fraction

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The correct answer is 1.

To determine if a set of three angles can form a triangle, we need to check if the sum of the three angles is equal to 180°. If the sum is 180°, then the angles can form a triangle; otherwise, they cannot form a triangle.

Given angles: 32°, 51°, 97°

we can represent the calculation as follows:

[tex]\text{Sum of the given angles} &= 32^\circ + 51^\circ + 97^\circ&= 180^\circ[/tex]

Since the sum of the three given angles is equal to 180°, these angles can form a triangle.

To determine the number of triangles that exist with these angle measures, we need to consider the permutations of the angles. Since the order of the angles does not matter in a triangle, we have:

[tex]\text{Number of triangles} = \frac{3!}{3} = 1[/tex]

Therefore, there exists only one triangle with the given angle measures of 32°, 51°, and 97°.

Answer C

to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n

where x is each term given in data set

n is number of terms = 7

mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114

now find (∑|x-mean|) = 138

MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20

The length of the hypotenuse is 10cm

Given a  30-60-90 triangle where:

Length of the shorter leg = 5cm (adjacent)

The hypotenuse is what we need.

[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]

Substitute the given parameters

[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]

Hence the length of the hypotenuse is 10cm

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Final answer:

To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can solve the inequality and substitute different x-values to find corresponding y-values.

Explanation:

To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can use a graph or a table of values.

Let's solve the inequality for y:

2x + 3y ≥ -1

3y ≥ -1 - 2x

3y ≥ -2x - 1

y ≥ (-2/3)x - 1/3

Now we can choose some x-values and substitute them into the inequality to find corresponding y-values:

Let's choose x = 0:

y ≥ (-2/3)(0) - 1/3

y ≥ 0 - 1/3

y ≥ -1/3

So one ordered pair that is a solution is (0, -1/3).

Let's choose x = 3:

y ≥ (-2/3)(3) - 1/3

y ≥ -2 - 1/3

y ≥ -7/3

So another ordered pair that is a solution is (3, -7/3).

The solution for the set would be: x is (0,12).

What is the solution?

To arrive at the solution, we would first move the constant term to the right side as follows;

x - 24/x < 10

x < 10 + 24/x

We then multiply both sides by x to eliminate the fraction:

x² < 10x + 24

Collect all terms to one side;

x² - 10x - 24 < 0

Factorize

(x - 12)(x + 2) < 0

So, x - 12 is positive when x > 12 and negative when x < 12.

x + 2 is positive for all values of x > 0.

Answer:

inductive reasoning

In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.

Therefore, the type of reasoning used is inductive reasoning.

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.

The amount of inaccuracy in the estimating value appears due to the smaller sample size.

The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

We know that the formula of the sampling error

[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.

More about the sampling error link is given below.

https://brainly.com/question/15375591

Final answer:

Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.

Explanation:

The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.

The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.