write either TRUE or FALSE.
(a) In the equation f (x) = mx+b, the variable b represents the slope.
(b) The graph of a linear function is always a straight line.
(c) The domain of the function y = √3 − x is the set of all real numbers less
than or equal to 3.
(d) The operation of function composition is commutative. That is, for all
functions f and g, it is true that f ◦ g = g ◦ f .

Answer:

1/2= slope

-3= y-intercept

Step-by-step explanation:

According to the formula, y=mx-b:

Consider the equation ;

\({:\implies \quad \sf -11-2\dfrac{1}{4}n=-\dfrac78}\)

\({:\implies \quad \sf -11-\dfrac{9}{4}n=-\dfrac78}\)

After some manipulations in both sides, can further written as ;

\({:\implies \quad \sf \dfrac{9}{4}n=\dfrac{7}{8}-11}\)

\({:\implies \quad \sf \dfrac{9}{4}n=\dfrac{7-88}{8}}\)

\({:\implies \quad \sf \dfrac{9}{4}n=-\dfrac{81}{8}}\)

\({:\implies \quad \sf n=-\dfrac{81}{8}\times \dfrac{4}{9}}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{n=-\dfrac92}}}\)

This is the required answer

Answer:

  n = -4 1/2

Step-by-step explanation:

This 2-step linear equation can be solved by first multiplying by -8 to eliminate fractions and make the signs positive.

  88 +18n = 7

  18n = -81 . . . . . . . . step 1: subtract 88

  n = -81/18 = -9/2 . . . . step 2: divide by the coefficient of n

The improper fraction can be written as a mixed number:

  n = -4 1/2

Yes, that is correct; If the sky is clear, we are able to see the stars at night.

A star is a celestial body that maintains its shape thanks to its own gravity. Also, a star has the ability to generate its own light, an example of a star is the Sun.

The stars are always there, but during the day, the brightness of the sun makes it impossible for us to see them. However, at night when the sun is no longer visible, the stars become visible to us. This is why we can see the stars in the sky at night when there are no clouds obstructing our view.

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Answer:

this is true

Step-by-step explanation:

The measure of ∠D, ∠E and ∠F in the triangle are 115°, 49° and 16° respectively

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the measure of m∠F, hence:

m∠E = 3x + 1

m∠D = 7x + 3

Also:

m∠F + m∠D + m∠E = 180° (sum of angles in a triangle)

x + (3x + 1) + (7x + 3) = 180

x = 16

m∠E = 3(16) + 1 = 49°

m∠D = 7(16) + 3 = 115°

The measure of ∠D, ∠E and ∠F in the triangle are 115°, 49° and 16° respectively

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Answer:

d = 5.2047

Step-by-step explanation:

For:

(X1, Y1) = (1, 4)

(X2, Y2) = (-3, 0.67)

Distance Equation Solution:

d=(−3−1)2+(0.67−4)2−−−−−−−−−−−−−−−−−−−√

d=(−4)2+(−3.33)2−−−−−−−−−−−−−−√

d=16+11.0889−−−−−−−−−−√

d=2–√7.0889

d=5.2047

i turned 2/3 in to a decimal and rounded   i hope this helps

Using t-test, there isn't an enough evidence to support our claim that investment average is $135,000 at α = 0.05.

The one sample t test compares the mean of your sample data to a known value (population mean in our question, i.e. , we wish to compare the sample mean with the population mean). One sample t test should be used when you the population standard deviation is not known or the sample size is very small.

Assumptions of the t-test for the test to be valid:-

Null hypothesis:  μ = $143,260

Alternative hypothesis: μ < $143,260

Calculating test statistic.

n = 30

sample mean = $135,000

sample standard deviation = $30,000

\(t_{0} = \frac{sample\ mean - population\ mean}{\frac{standard\ deviation}{\sqrt{sample\ size} } }\)

\(t_{0} = \frac{135000 - 143260}{\frac{30000}{\sqrt{30} } }\)

|to| = 1.508

Test criteria:

level of significance = 0.05

t(0.05, 29) = 1.6991

Since, |to| = 1.508 < t(0.05, 29) = 1.6991, null hypothesis cannot be rejected.

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Answer:

B

Step-by-step explanation:

a fraction is equal to 0 when the numerator is 0

x - 4 = 0

x = 4

The correct answer is x=4.

Step-by-step explanation:

When the numerator is 0, a fraction is equal to 0.

x - 4 = 0

x = 4

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Answer:

d.

Step-by-step explanation:

C=40+2s, c=20+4s

Answer:

true

Step-by-step explanation:

Answer:

The answer is yes.

Step-by-step explanation:

This is dependent because whichever color marble she picks out, is dependent on how many marbles of that color are in the bag. For example, since their are 25 blue marbles, there is a higher probability that she will pick a blue marble that any of the other colors.

Answer:

Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!

Answer:

F

Step-by-step explanation:

x - x1/ x2-x1= y - y1/ y2 -y1

x - 3 / -2 -3= y -3/6-3

x-3/-5=y-3/3

3(x-3)= -5(y-3)

3x-9= -5y +15

5y = -3x +24

y= -3x/5 +24/5

Answer:

a1 = 1

an = an-1 * -5

Step-by-step explanation:

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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N 7

Part A

In a direct variation

k=y/x

take one point from the graph

(2,4)

k=4/2

Part B

In a direct variation, the equation is

y=kx

we have

k=2

therefore

Answer: Its ¨undefined¨ hope this helps !!

Answer: 42

Step-by-step explanation:

1/12 of 72 is 6

6x7 = 42

First, we need to find the individual vectors for u and w. Since we don't have that information, we can't calculate the cross product directly.

However, we can use the fact that u X w = <3,-1,7> to find the cross product of u and w.

From the given equation, we can distribute the scalar values:

(4u X w) - (3w X w)

We know that the cross product of any vector with itself is 0, so the second term becomes 0:

(4u X w) - 0

Now we can substitute the value for u X w:

(4<3,-1,7>)

= <12,-4,28>

Therefore, (4u-3w) X w = <12,-4,28>.

To calculate the cross product of (4u - 3w) X w, we can use the following property of cross products:

A X (kB) = k(A X B), where A and B are vectors, and k is a scalar.

We know that u X w = <3, -1, 7>. Now, we need to calculate (4u - 3w) X w:

(4u - 3w) X w = 4(u X w) - 3(w X w)

Since the cross product of a vector with itself is zero, w X w = 0. Therefore, the equation simplifies to:

(4u - 3w) X w = 4(u X w)

Now, we can use the given u X w = <3, -1, 7>:

(4u - 3w) X w = 4(<3, -1, 7>) = <12, -4, 28>

So, the cross product of (4u - 3w) X w is <12, -4, 28>.

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The hypothesis test is two-tailed.

The P-value is the probability of obtaining a test statistic as extreme as the observed value (or even more extreme) under the null hypothesis. In this case, with a two-tailed test, we need to find the probability in both tails of the distribution. To find the P-value, we compare the test statistic to the critical values of the standard normal distribution. The P-value is the probability of observing a test statistic as extreme as 2.45 or more extreme in both directions.

Using a significance level of alpha equals 0.10, we compare the P-value to the significance level. If the P-value is less than the significance level, we reject the null hypothesis. If the P-value is greater than or equal to the significance level, we fail to reject the null hypothesis. In this case, if the P-value is less than 0.10, we reject the null hypothesis. If the P-value is greater than or equal to 0.10, we fail to reject the null hypothesis.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer: b^2-4ac

Step-by-step explanation:

The tangent function is periodic and the period of the tangent function is π.

Since y=tan x is a many-one function and tan x has a periodic function with period π, the graph of the tangent function repeats itself at regular intervals of length units.

Because the tangent function is an odd function and the graph of y=tan x is symmetric about the origin.

Since its range is from -∞ to ∞, the tangent function is an unbounded function.

In a complete circular rotation, it make Two cycles. In the factors of π, it repeats its interval. Example, π, 2π, 3π.

The period of the tangent function is π.

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The mean of the sampling distribution is 0.05 or 5%. The standard deviation of the sampling distribution is approximately 0.0158 or 1.58%.

The mean of the sampling distribution, denoted as μp^, is given by the formula:

μp^ = p = 0.05

Therefore, the mean of the sampling distribution is 0.05 or 5%.

The standard deviation of the sampling distribution, denoted as σp^, is calculated using the formula:

σp^ = sqrt((p * (1 - p)) / n)

where p is the probability of success (0.05) and n is the sample size (500).

Substituting the values, we get:

σp^ = sqrt((0.05 * (1 - 0.05)) / 500) ≈ 0.0158

Thus, the standard deviation of the sampling distribution is approximately 0.0158 or 1.58%.

In summary, assuming the manufacturer's claim that only 5% of their bags are under the advertised weight, the mean of the sampling distribution of p^ is 0.05 or 5%. The standard deviation of the sampling distribution is approximately 0.0158 or 1.58%. These values indicate the expected proportion and the level of variability in the sample proportions of bags that are under the advertised weight when drawing multiple samples of 500 bags from the manufacturer's product line.

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Answer:

c)3pi/4

Step-by-step explanation:

Answer:

This means you would plug in g(x) into f(x).

Step-by-step explanation:

It would look like this:

\(3(x^{2} + 1) + 2\)

100%

$55 = $55. Or in other terms:

100% = 100%

$55 is the maximum number of the problem, which would be 100%. So, they are asking what the maximum is. Which is 100%.

100%

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer: %100

Step-by-step explanation:

55 is the number you are using and the highest number is 55 so it will be %100

Answer:

Step-by-step explanation:

134-(-80)=134+80=214

According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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Speed is given by Distance/ Time taken

The Velocity is 7.27m/s in the direction of the runner

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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