3x + 5y + z = 2
x + 2y + 3z = 6
2x + 4y + 2z = 9

Answer:

D.1.121, 1.21, 1.432, 1.53

Step-by-step explanation:

Look at it as money:

$1.12

$1.21

$1.43

$1.53

We know that D states the money from least to greatest.

Or

We can convert them to fractions by Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Solution:

Option A

1.121, 1.53, 1.432, 1.21

1 = 1 = 1 = 1

1.121, 1.53, 1.432, 1.21

1 < 5 < 4 < 2 (False)

Option B

1.53, 1.432, 1.21, 1.121

1 = 1 = 1 = 1

1.53, 1.432, 1.21, 1.121

5 < 4 < 2 < 1 (False)

Option C

1.21, 1.121, 1.432, 1.53

1 = 1 = 1 = 1

1.21, 1.121, 1.432, 1.53

2 < 1 < 4 < 5 (False)

Option D

1.121, 1.21, 1.432, 1.53

1 = 1 = 1 = 1

1.121, 1.21, 1.432, 1.53

1 < 2 < 4 < 5 (True)

Final Answer:

Option D is correct.

Therefore, we do not have sufficient evidence to support the executive's claim that the true proportion of readers who own the particular make of car is different from the reported proportion of 43% at the 0.10 level of significance.

To determine whether there is sufficient evidence to support the executive's claim that the percentage of readers who own a particular make of car is different from the reported percentage of 43%, we need to conduct a hypothesis test.

The null hypothesis H0 is that there is no difference between the true proportion of readers who own the particular make of car and the reported proportion of 43%:

H0: p = p0

The alternative hypothesis Ha is that the true proportion of readers who own the particular make of car is different from the reported proportion:

Ha: p ≠ p0

We can use a z-test for proportions to test this hypothesis, since the sample size is sufficiently large and the sampling distribution of the sample proportion can be approximated by a normal distribution.

test statistic is calculated as:

z = (x/n - p0) / √(p0*(1-p0)/n)

Substituting the values from the problem statement, we get:

z = (0.38 - 0.43) / √(0.43*(1-0.43)/200)

= -1.51

At the 0.10 level of significance, the critical values for a two-tailed test are ±1.64. Since our calculated z-value of -1.51 is not in the rejection region, we fail to reject the null hypothesis.

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Answer:

System of equations:

67x + 49y = 464

45x + 75y = 480

Solution: x = 6, y = 8

A turkey sandwich costs $6, and a chef salad costs $8.

Answer:

b

Step-by-step explanation:

Answer:

what are the answer choices

Step-by-step explanation:

Answer:

x < -8

Step-by-step explanation:

3 - (2x - 5) < -4 (x+2)

distribute

3 - 2x + 5 < -4x - 8

add the numbers

8 - 2x < -4x - 8

move the x

2x < -16

divide

x < -8

Answer:

D

I'm not sure but

The 9 has to be in in front of the brackets in order to tell us which operation we are using. If 1+5 is in brackets, then it would be D because y pi know what you are adding (1+5) to.

Given:

The function are

\(f(x)=x^2-1\)

\(g(x)=\sqrt{x}\)

To find:

The value of \((f\circ g)(1)\).

Solution:

We have,

\(f(x)=x^2-1\)

\(g(x)=\sqrt{x}\)

We need to find the value of \((f\circ g)(1)\).

\((f\circ g)(1)=f(g(1))\)            \([\because (f\circ g)(x)=f(g(x))]\)

\((f\circ g)(1)=f(\sqrt{1})\)            \([\because g(x)=\sqrt{x}]\)

\((f\circ g)(1)=f(1)\)      

\((f\circ g)(1)=(1)^2-1\)                  \([\because f(x)=x^2-1]\)

\((f\circ g)(1)=1-1\)      

\((f\circ g)(1)=0\)      

The value of \((f\circ g)(1)\) is 0.

Therefore, the correct option is A.

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log\(x^{n}\) ⇔ n log x

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

\(log_{a}\) a = 1

(11)

let 2 \(log_{2}\)8 = n , then

\(log_{2}\) 8² = n

\(log_{2}\) 64 = n

\(log_{2}\) \(2^{6}\) = n

\(2^{6}\) = \(2^{n}\)

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

\(log_{a}\) a³

= 3 \(log_{a}\) a

= 3 × 1

= 3

There is a 95% chance that the mean length of all term papers lies between confidence limits (11.58,17.82) for the given data:

14, 20, 25, 10, 16, 8, 15, 12, 18, 9

We assume the length of paper has an approximately normal distribution.

Sample size = 10

The sample mean for the given data = 14.7

The standard deviation for the given data = 5.04

Critical value is obtained from standard normal distribution at the level of significance 0.05.

The critical value is 1.96.

The 95% confidence interval for the mean length of all term papers is calculated as follows:

P(14.7 - (1.96 x (5.04/√10)) < µ < 14.7 + (1.96 x (5.04/√10))) = 0.95

P(11.58 < µ < 17.82) = 0.95

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To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Hint

If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.

To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.

I hope this helps :)

Answer:

1. No solutions

2. Yes, if Jane buys 3 shirts and yuki buys 4

4. No solutions

5. One, x=6

6. 1-x will be different from 5(x-4) - 6x regardless of the value of x because 5x - 6x is infinitely equal to 1-x but then you will always have to subtract 20, making them infinitely different.

Step-by-step explanation:

Answer:

b=30

Step-by-step explanation:

Answer: skew lines

Step-by-step explanation:

skew lines are two lines that do not intersect and are not coplanar

Answer:

Step-by-step explanation:

False. The magnitude of a vector is always a positive value or zero. It represents the length or size of the vector, and by definition, it is a non-negative quantity.

In mathematics and physics, a vector is a mathematical object that has both magnitude (size) and direction. The magnitude of a vector is a scalar value that quantifies the length or size of the vector, and it is always a positive value or zero.

The magnitude of a vector is denoted by placing vertical bars or double vertical bars around the vector symbol. For example, the magnitude of a vector "v" is written as ||v|| or |v|. It represents the distance or length from the origin to the point represented by the vector.

The reason the magnitude of a vector is always non-negative is due to its definition. It is the square root of the sum of the squares of its components. Since squaring a value always produces a non-negative result, the sum of the squares is also non-negative. Taking the square root of a non-negative value yields a positive value or zero.

For example, if we have a vector with components (3, 4), the magnitude of the vector would be calculated as follows:

||v|| = \(sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5\)

Here, the magnitude of the vector is 5, which is a positive value. Therefore, the statement that the magnitude of a vector is always negative is false.

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Answer:

x-intercept:  (-56, 0)

y-intercept:  (0, -14)

Step-by-step explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  To find the x-intercept, substitute y=0 into the given equation:

\(\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}\)

Therefore, the x-intercept of the given linear equation is:

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  To find the y-intercept, substitute x=0 into the given equation:

\(\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}\)

Therefore, the y-intercept of the given linear equation is:

Answer:

The answer is 4/9x+16/9

Step-by-step explanation:

Answer:

Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.

Part A: Write an expression and your answer to show his final account balance at the end of the week.

Answer:

your answer would be -18

\(d = \sqrt{ - 2 - 0) {}^{2} + ( - 2 - 5) {}^{2} } \)

\(d = \sqrt{( - 2) {}^{2} + ( - 7) {}^{2} } \)

\(d = \sqrt{4 + 49} \)

\(d = \sqrt{53} = 7.28 = 7.3\)

Answer:

I believe it is figure 1

Answer:

Definitely Figure 1

Step-by-step explanation:

Rise of the line over Run of the line (our slope) equals 1 here.  x = y

Answer:

They came to different conclusions because if you graph n+10 and 2n+3, eventually 2n+3 will surpass n+10 (see picture for diagram). Since they both plugged in different numbers for n, they received different answers to the question.

The variability of a statistic from a random sample does not depend on the size of the population, as long as the population is at least **ten times** larger than the sample.

In statistical sampling, the size of the population relative to the sample size can affect the variability of a statistic. However, as long as the population is sufficiently larger than the sample, typically by a factor of ten or more, the impact of the population size on variability is minimal.

When the population is much larger than the sample, each unit in the sample represents a relatively small fraction of the overall population. This ensures that sampling variability is not significantly influenced by the size of the population. Therefore, the variability of a statistic, such as the mean or standard deviation, can be estimated accurately from the sample without considering the population size, as long as the population is at least ten times larger than the sample.

It's worth noting that this guideline assumes random sampling and other necessary conditions for statistical inference. Additionally, if the population size is close to or only slightly larger than the sample size, adjustments may be needed to account for the finite population correction factor.

In conclusion, as long as the population is at least ten times larger than the sample, the variability of a statistic from a random sample is not significantly influenced by the population size. This allows for valid statistical inferences to be made from the sample to the larger population.

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The main problem I encountered while doing my trial run was a lack of clarity in the definitions of the ships I was studying. I had difficulty in deciding which ships to include in the study and what criteria to use.

To address this issue, I would make sure to clearly define the parameters of the study (e.g. type of ship, size, age, etc.) before beginning the trial run. Additionally, I would create a more detailed plan for collecting data, including precise measurements and criteria for selection. Finally, I would ensure that I had the resources necessary to properly collect the data and that the data is properly recorded and stored.

The criteria I used to select ships for the study were not clearly articulated and thus made it difficult to ensure that all ships were selected randomly. Furthermore, the available measurements did not always match what I wanted to measure. For example, I wanted to measure the ships' length, but the available data only provided the width.

For making changes, I would make sure to clearly define the criteria used to select ships for the larger study. This would ensure that the selection process is random and unbiased. I would also ensure that the available measurements accurately reflect what I am measuring. To do this, I would identify the appropriate data sources and ensure that they are up-to-date and reliable. Finally, I would make sure to have a plan in place to address any unexpected issues or discrepancies that may arise during the larger study.

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Answer:

We use cosine rule also called cosine law which states

c^2=a^2+b^2-2abcosC

given

a=8cm, b=7cm, c=9cm cos C?

9^2=8^+7^2-2*8*7 cos C

expand

81=64+49-112 cos C

like terms together

81-113=-112 cos C

-32=-112cos C

multiply both sides by -1

32=112cos C

divide both sides by 112

32/112=cos C

cosC=0.2857

find cos inverse of 0.2857

angle C= 73.40

Answer:

undefined

Step-by-step explanation:

x=0

Answer:

the answer isundedined

Step-by-step explanation: 0