\(\frac{7}{10}m-\frac{1}{3}m+2m\)

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

Answer:

Option (4)

Step-by-step explanation:

If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.

From the given picture,

\(m(\angle RQS)=\frac{1}{2}(m\hat{RS}+m\hat{UT})\)

95° = \(\frac{1}{2}(135+m\hat{UT})\)

190 = 135 + \(m(\hat{UT})\)

\(m(\hat{UT})=190-135\)

\(m(\hat{UT})\) = 55°

Therefore, option (4) will be the correct option.

Solution

We have the following coordinates:

(0,0), (1,3), (5,0), (6,3)

We can find the distance between the vertices like this:

Then the correct answer for this case is:

D. Parallelogram

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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The probability of escape for the guest is approximately 9 - √27/4.

This can be calculated using the principle of inclusion-exclusion. To calculate the probability of escape, we can calculate the probability of the guest being unable to move from Room 0 to any of the other rooms.

This is the probability of all doors from Room 0 being locked, which is equal to 1/3 x 1/3 = 1/9. Therefore, the probability of escape is 1 - 1/9 = 8/9.

Using the inclusion-exclusion principle, we can calculate the probability of the guest being able to move from Room 0 to any of the other rooms. The probability of the guest being able to move from Room 0 to any of the other rooms is equal to 1 - (1/3 + 1/3 - 1/9) = 9 - √27/4.

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To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.

The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.

Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are:  Landing on a shaded section Landing on an even number

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From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)

Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.

The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.

To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.

Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.

Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.

Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.

Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.

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Answer:

I think it's D

Step-by-step explanation: I just know

Answer:

d or typical, because most weight-loss products are sold door to door.

Step-by-step explanation:

The p-value is very small, even at the 0.01 level of significance, we can reject the null hypothesis. It is because p value is less than the alpha level.

Paired t test:

The paired t test is mainly used when single data is used for multiple tests like before and after consuming the medicine. In this case first, we create a new variable by taking the difference between the two treatments and then find the mean and standard deviation of that particular variable. The t statistic, in this case, can be calculated as:

\(t = \frac{xd- ud}{\frac{sd}{\sqrt{n} } }\)

The data given in the question is shown as:

                       Before Exposure    After Exposure

Participant #1            4.0                        5.0

Participant #2            5.2                        6.0

Participant #3            3.2                        4.0

Participant #4            4.5                        6.2

The null hypothesis states that the mood rating before and after being exposed to classical music are equal and so the mood rating difference between after and before classical music is 0. On the other hand, the alternative hypothesis states that the mood rating before is less than the mood rating after being exposed to classical music and so the mood rating difference between after and before classical music is greater than 0.

So, the hypothesis for this question can be written as:

Here, d is the difference between mood rating after and before the classical music.

Now the t statistic value can be calculated as:

\(t = \frac{xd- ud}{\frac{sd}{\sqrt{n} } }\\\\t = \frac{1.075-0}{\frac{0.4272}{\sqrt{4} } }\\\\t = \frac{1.075}{\frac{0.4272}{2} } \\\\t = \frac{1.075}{0.2136}\)

t = 5.0328

The p value can be calculated as:

p-value = p(t > 5.0328)

p-value = 0.0076

Here, the probability p-value = p(t > 5.0328) = 0.0076 comes from excel function = TDIST(5.0328, 3, 1)  where, the first term is for t statistic value, second term is for degrees of freedom, and the last term is for one-tail.

Hence the answer is The p-value is very small, even at the 0.01 level of significance, we can reject the null hypothesis. It is because p value is less than the alpha level.

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we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

A measure οf a grοup οf values' variance οr dispersiοn in statistics is called the standard deviatiοn. When the standard deviatiοn is lοw, the values are mοre likely tο fall within a narrοw range, alsο knοwn as the expected value, whereas when the standard deviatiοn is high, the values tend tο be clοser tο the mean.

The lοwercase Greek letter sigma, which stands fοr the pοpulatiοn standard deviatiοn, οr the Latin letter s, which stands fοr the sample standard deviatiοn, are mοst frequently used in mathematical equatiοns and texts tο represent standard deviatiοn. Standard deviatiοn is alsο sοmetimes referred tο as SD.

suppοse that οn a 100-pοint test, the teacher's gοal is fοr her students' exam scοres tο have a standard deviatiοn οf at mοst 8 pοints.

chi²\(= (n-1)*s^2 /\sigma^2\)

where n is the sample size, s is the sample standard deviatiοn, and sigma is the hypοthesized pοpulatiοn standard deviatiοn under the null hypοthesis.

In this case, n = 25, s = 9.5, and sigma = 8. Substituting these values, we get:

chi² \(= (25-1)*9.5^2 / 8^2 = 33.64\)

The degrees οf freedοm fοr this test is n-1 = 24. Using a chi-squared table with 24 degrees οf freedοm, we find that the critical value fοr a οne-tailed test at a 5% level οf significance is 36.42.

Therefοre, we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

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Answer: 30.5

Step-by-step explanation:

We need to isolate x.

2tx-n³= 4f

2tx = 4f + n^3

x = (4f + n^3)/(2t)

Done!

The value of x is x= 2f/t + n³/2t.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2tx-n³=4f

Now, solving for x

2tx=4f + n³

x= 1/2t (4f + n³)

x= 4f/2t + n³/2t

x= 2f/t + n³/2t

Hence, the value of x is x= 2f/t + n³/2t.

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Answer:

Step-by-step explanation:

please brainleist please tysm☺️☺️☺️☺️☺️❤❤❤❤❤☻☻☻☻☻

Answer:

1/2 its like 10/12 take out the 0 and one on the bottom and we got 1/2

Step-by-step explanation:

The solution is,  10/12 to the nearest half after round off is 1.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

given that,

10/12

i.e. 10/12 = 0.833

now, after rounding off to nearest half.

we get,

0.833 ≈ 1

hence, The solution is,  10/12 to the nearest half after round off is 1.

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We have the following equation

We can see that the factors of 12 and 34 are, respectively,

Then, the answer is:

I can solve the equation 12 times 34 using

The product is 408

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:

\(\sqrt{16}\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

Answer:

b= 58°

Step-by-step explanation:

32° +b +90°= 180° (adj. ∠s on a str. line)

b +122°= 180°

b= 180° -122°

b= 58°

What is adj. ∠s on a str. line?

Where did the 90° come from?

Answer:220GB

Step-by-step explanation: 500-s=380

Answer:

41, x=-5

Step-by-step explanation:

m<DEY = m<FEY, by angle bisector theorem

(9x-4) = 41

9x = 45

x = 5

m<DEY = 41

Answer:

the answer is 0.

Step-by-step explanation:

When you are adding two of the same numbers together, and one of them is positive while the other is negative, they cancel each other out.  

\(\huge\textbf{Hey there!}\)

\(\mathsf{-6 \dfrac{4}{5} + 6 \dfrac{4}{5}}\)

\(\mathsf{= \dfrac{-6 \times 5 + 4}{5}+ \dfrac{6 \times 5 + 4}{5}}\)

\(\mathsf{= \dfrac{-30 + 4}{5}+ \dfrac{30 + 4}{5}}\)

\(\mathsf{= \dfrac{-34}{5} + \dfrac{34}{5}}\)

\(\mathsf{= 0}\)

\(\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{0}}}\huge\checkmark\)

\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

How should this model be completed to represent 820 ÷ 17? Enter your answers by filling in the boxes. I'm in 5the BTW

Solution:

Given:

To get the central angle, we use the formula for the area of a sector;

Hence, substituting the given values into the formula,

Therefore, the measure of the central angle of the shaded sector is 45 degrees.

No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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The explicit formula for the population growth is P(t) = 9 * (1 + 0.08)^t, where P(t) represents the population at time t, P0 is the initial population of 9, r is the growth rate of 8% or 0.08, and t is the time in years. Using this formula, we can calculate the population after 9 years which is approximately 16.03

To find the explicit formula for the population growth, we use the exponential growth model formula P(t) = P0 * (1 + r)^t. In this case, P0 is given as 9, and the growth rate r is 8%, or 0.08 when expressed as a decimal. Plugging these values into the formula, we get P(t) = 9 * (1 + 0.08)^t.

To evaluate the population after 9 years, we substitute t = 9 into the formula and calculate: P(9) = 9 * (1 + 0.08)^9. Using a calculator or performing the calculation manually, the population after 9 years is approximately 16.03 (rounded to two decimal places).

Therefore, the population after 9 years, based on the exponential growth model with an initial population of 9 and a growth rate of 8%, is approximately 16.03

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Answer:

The number of ways in which the digits can be assigned in the color wheel can be determined by the permutation of 8 taken 4 since it is in circular formation and whichever comes first is not important.

number of ways = 9P4 = 3024 ways

Answer:

Plot two points and draw a line through them

Step-by-step explanation:

The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.

Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.

For b=0, the point is (b, C) = (0, 4.95)

For b=5, the point is (b, C) = (5, 24.90)

The graph might look like the attached.

_____

For b=5, the equation gives ...

C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90

This value is approximate and rounded to two decimal places

The more accurate value is roughly 0.569444444 where the 4's repeat forever.

======================================================

Work Shown:

M = person is a male

S = person is a smoker

P(S) = 0.72

P(M and S) = 0.41

P(M given S) = P(M and S)/P(S) .... conditional probability

P(M given S) = 0.41/0.72

P(M given S) = 0.5694444 approximately

P(M given S) = 0.57

I'm rounding to two decimal places because the other given values 0.72 and 0.41 are also to two decimal places.

----------

Here's another way to think about it.

Let's say there are 100 people surveyed. If 72 are smokers, then P(S) = 72/100 = 0.72

If out of those 100 people, 41 are male smokers then P(M and S) = 41/100 = 0.41

We're asked to find the probability of picking someone who is male given we know they are a smoker. So we just focus on the 72 smokers ignoring the 28 other nonsmokers. Of those 72 people, 41 are male, so 41/72 = 0.569444 = 0.57 approximately.