Pls Help!! will give 15 points
solve for x

7(8-x) = 210

Answer: The events of selecting a yellow highlighter and then a green highlighter with replacement are independent because the probability of selecting a green highlighter on the second draw is not affected by the result of the first draw. This is because the first highlighter is replaced before the second one is drawn, so the composition of the drawer remains the same for both draws.

The probability of selecting a yellow highlighter on the first draw is:

P(Yellow) = 12 / (12 + 8) = 0.6

The probability of selecting a green highlighter on the second draw is also:

P(Green) = 8 / (12 + 8) = 0.4

The probability of selecting a yellow highlighter on the first draw and then a green highlighter on the second draw is:

P(Yellow and Green) = P(Yellow) x P(Green) = 0.6 x 0.4 = 0.24

Therefore, the probability of selecting a yellow highlighter on the first draw and then a green highlighter on the second draw is 0.24.

Step-by-step explanation: Have a great Day:)

Answer:

To determine whether the events of selecting a yellow highlighter and then a green highlighter with replacement are independent or dependent, we need to compare the probabilities of each event before and after the other event occurs.

The probability of selecting a yellow highlighter before selecting a green highlighter is P(Y) = 12/20 = 0.6. The probability of selecting a green highlighter after selecting a yellow highlighter with replacement is P(G|Y) = 8/20 = 0.4. The probability of selecting a green highlighter before selecting a yellow highlighter is P(G) = 8/20 = 0.4. The probability of selecting a yellow highlighter after selecting a green highlighter with replacement is P(Y|G) = 12/20 = 0.6.

Since P(G|Y) = P(G) and P(Y|G) = P(Y), we can conclude that the events are independent. This means that the outcome of one event does not affect the outcome of the other event.

To identify the indicated probability, we can use the multiplication rule for independent events: P(Y and G) = P(Y) * P(G). Therefore, P(Y and G) = 0.6 * 0.4 = 0.24. This is the probability of selecting a yellow highlighter and then a green highlighter with replacement.

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Answer:

The answer is D

......(don't mind this it's because it says that it needs to be 20 characters long) but the answer is D

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

7

Step-by-step explanation:

ok so it 7 but 10 is out so is 3

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

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The complete question is:

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed for 12 minutes and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 16 minutes.

What equation can you use to find the distance of the flowerbed from the hive?

The equation representing the graph as shown in the figure is y =

- 5.01x³ + 36.02x

The degree of a cubic polynomial is three.

Given is the general cubic equation as -

ax³ + bx² + cx + d

Now, the graph shows that the equation of this cubic equation passing through 3 points as -

(- 6, 0) , (2, 32) , (6, 0)

This means that these coordinates will satisfy the equation ax³ + bx² + cx + d = y.

Therefore -

For x = - 6 :

a(-6)³ + b(-6)² - 6c + 0 = 0

- 216a + 36b - 6c = 0            .. [1]

For x = 2 :

8a + 4b + 2c + 0 = 32          .. [2]

For x = 6 :

a(6)³ + b(6)² - 6c + 0 = 0

216a + 36b + 6c  + 0 = 0        .. [3]

Adding Eq[1] and Eq[3], we get -

- 216a + 36b - 6c + 216a + 36b + 6c = 0

72b = 0

b = 0

Then equation [2] will become -

8a + 2c = 32

4a + c = 16                 .. [4]

Subtracting Eq[1] and Eq[3], we get -

216a + 36b + 6c - (- 216a + 36b - 6c) = 0

216a + 36b + 6c + 216a - 36b + 6c = 0

432a + 12c = 0              .. [5]

Multiply [4] by 12, we get -

48a + 12c = 1922     .. [6]

Subtracting Eq[6] and Eq[5], we get -

432a + 12c - 48a - 12c = - 1922

384a = - 1922

a = - 5.01

Then -

4 x - 5.01 + c = 16

c = 16 + 20.02

c = 36.02

So -

[a] = - 5.01

[b] = 0

[c] = 36.02

[d] = 0

Therefore, the equation representing the graph as shown in the figure is y = - 5.01x³ + 36.02x

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Find intersection of

BD , AD DC

Then

BD = BE^2 + ED^2

R = AD = abc/4S = 42• (2•28)•

Answer:

y = 17

Step-by-step explanation:

the initial value of the function is obtained when x = 0

• note that \(a^{0}\) = 1

then

y = 17\((1.24)^{x}\) ← substitute x = 0

y = 17\((1.24)^{0}\) = 17 × 1 = 17

initial value of the function is y = 17

Answer:

n=3s-2

Step-by-step explanation:

Step 1: Remove unnecessary parentheses (2s-1)

Step 2: Collect "Like Terms" (2s+s= 3s)

Last Step: Put them all together (n=3s - 2)

Answer:

8 bags of chips.

Step-by-step explanation:

First, find the cost per individual unit. It is given that 2 bags of chips cost $6. Find the cost of one bag by dividing 6 with 2:

$6/2 bags = $3/bag

Next, you are solving for the amount of chips you can buy with $24. Divide 24 with the individual cost of $3:

$24/$3 per bag = 8

You can buy 8 bags of chips assuming all things are the same.

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Answer:

c. What is your favorite book?

Explanation:

A question is said to be biased when it is asked in such a way that it leads or skews people intentionally to a particular answer.

Looking at the given questions in the options, we can see that three of them have a particular person or thing mentioned in the question. These are examples of biased questions.

But the question, "What is your favorite book?" does not suggest a name of a particular book to the respondent which could influence their responses. This type of question is not biased.

Answer:

345 feet

Step-by-step explanation:

If you don't know about Britton Hill, Florida, you're probably not a mountain climber, and you're definitely not a highpointer. At 345 feet above mean sea level, Britton Hill is Florida's highest natural point and the lowest "high point" in the United States.

Answer:

7 and 6

Step-by-step explanation:

hope this helps you out

Answer:a is 6 b is 7

Step-by-step explanation:

a + b = 13

1+ 12 = 13

2+11 +13

3+10=13

4+9=13

5+8=13

6+7= 13

6x7 is 42

Answer:

130 degrees

Step-by-step explanation:

use protractor and measured angles. Hope i helped you.

The probability that Mr. Z will keep his driver's license for at least 10 years is approximately 0.2212 or 22.12%.

To find the probability that Mr. Z will keep his driver's license for at least 10 years, we can use the Poisson distribution to model the occurrence of the rare event of him being caught drinking and driving.

The average frequency of Mr. Z drinking and driving is once in 4 years. Since the Poisson distribution assumes a constant average rate, we can use this information to calculate the average rate parameter (λ) for the Poisson distribution.

λ = Average frequency = 1 event in 4 years

To find the probability of Mr. Z not being caught drinking and driving for at least 10 years, we need to calculate the cumulative probability of zero events occurring in a 10-year period.

\(P(X > = 0) = 1 - P(X < 0)\)

Using the Poisson distribution formula, we can calculate the probability of zero events:

\(P(X = 0) = (e^(-λ) * λ^0) / 0!\)

Substituting the value of λ into the formula, we get:

\(P(X = 0) = (e^-(1/4) * (1/4)^0) / 0!\)

\(P(X = 0) = e^-(1/4)\)

To find the probability of Mr. Z not being caught drinking and driving for at least 10 years, we take the cumulative probability:

\(P(X > = 0) = 1 - e^-(1/4)\)

Calculating this value, we find:

\(P(X > = 0) = 0.2212\)

Therefore, the probability that Mr. Z will keep his driver's license for at least 10 years is approximately 0.2212 or 22.12%.

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The correct answer is d. Consumer.

In the long run, producers have more flexibility to adjust their production levels and find alternative inputs or suppliers. As time goes by, if a tax is imposed on cattle, ranchers are more likely to adjust their production decisions, potentially reducing the supply of meat.

This reduction in supply will lead to higher prices for consumers, as the burden of the tax is passed on to them. Therefore, the burden of a tax on cattle is increasingly passed on to the consumer in the long run.

The burden of a tax on cattle, ceteris paribus, will be increasingly passed on to the consumer as time goes by.

In economics, the concept of elasticity is used to measure the responsiveness or sensitivity of the quantity demanded or supplied to changes in price or other factors.

When we say that the supply of meat is more elastic in the long run than in the short run, it means that producers have more flexibility and time to adjust their production levels and respond to changes in market conditions.

In the short run, the supply of meat is relatively inelastic because producers may not be able to quickly change their production capacity or make significant adjustments to their operations.

They may have fixed factors of production, such as land and equipment, that cannot be easily altered in the short term. As a result, they may not be able to pass on the full burden of a tax on cattle to consumers immediately.

However, in the long run, producers have more flexibility to make adjustments. They can expand or contract their operations, invest in new technology, and make changes to their production processes. With more time and flexibility, producers can better adapt to changes in costs, such as taxes, and pass on a larger portion of the burden to consumers.

Therefore, as time goes by, the burden of a tax on cattle is expected to be increasingly passed on to the consumer. Ceteris paribus (assuming all other factors remain constant), the increased elasticity of supply in the long run allows producers to adjust their operations and prices more effectively, resulting in a greater burden being borne by consumers.

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ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information.

In the given figure, we are provided with the lengths of various line segments. Using this information, we can determine the length of ZW. Given that XY = 15 and ZX = 52, we can subtract the length of XY from ZX to find the length of ZW. Therefore, ZW = ZX - XY = 52 - 15 = 37.

Now let's provide a detailed explanation of each length:

ZY = 37

To find the length of ZY, we need to subtract the length of WY from ZW. From the previous calculation, we know that ZW = 37. However, the length of WY is not given directly. To find it, we can use the fact that WX = 22 and WT = 23. Since WY is a part of WX and WT, we can subtract WT from WX to get WY. Therefore, WY = WX - WT = 22 - 23 = -1.

Now, we can substitute the value of WY into the equation for ZY: ZY = ZW - WY = 37 - (-1) = 38. Thus, ZY is equal to 38.

TX = 15

To find the length of TX, we need to subtract the length of WT from XY. We know that XY = 15 and WT = 23. Therefore, TX = XY - WT = 15 - 23 = -8. However, it is important to note that lengths cannot be negative, so TX cannot be -8. This indicates that there might be an error in the given information or measurements.

WY = -1

As calculated earlier, the length of WY is -1. However, it is important to note that lengths cannot be negative in a geometrical context. Therefore, we can conclude that there might be an error in the given information or measurements. It is advisable to double-check the given lengths or clarify any inconsistencies before proceeding with further calculations.

In summary, using the given information, we determined that ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information. It is recommended to verify the measurements to ensure accurate results.

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Answer:

16/9 or 1 7/9

Step-by-step explanation:

2/3 ÷ 3/8

2/3 * 8/3

16/9

Best of Luck!

Answer:

Step-by-step explanation:

One-third of an hour is:

60 × ⅓ = 20 minutes.

Miles per minute:

2 ÷ 20 = 0.1 mile.

How far can Josh run in 5 hours?:

5 hours = 5 × 60 = 300 minutes.

1 minute = 0.1 mile.

300 minutes = ?

300 × 0.1 = 30 miles.

Answer: 90.86

i got this questions

Answer:

He saves £135 each week

Step-by-step explanation:

He spends 2/5 of his wage on food

2/5x450=£180

He spends 180£ on food each week

30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills

so his total expenditure is 135+180= £315

he saves the rest which is £135.

thus, your answer is £135

A, the measures of variation would all be 0. This is because variation measures the differences or spread of values within a dataset. If there is no mercury present in the tuna sushi, then all the values would be the same, resulting in no variation and all measures of variation would be 0.

that since there is no difference or spread in the data, it is not possible to calculate the range, variance, or standard deviation, which are the measures of variation. Therefore, the correct answer is option A.

In conclusion, if the tuna sushi contained no mercury, the measures of variation would all be 0, as there would be no variation in the data.

The measures of variation describe the dispersion or spread of a dataset. If the tuna sushi contained no mercury, that means there is no variation in mercury content. In this case, all data points would be the same (0 mercury), resulting in no dispersion or spread.

If tuna sushi had no mercury content, the measures of variation would be 0, indicating no dispersion in the data.

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Answer:

x=14

Step-by-step explanation:

-2x/7=3x-46

7(-2x/7)=7(3x-46)

-2x=21x-322

-23x=-322

x=14

Answer:

3w

Step-by-step explanation:

\(w=\frac{a}{3} \\3w=a\\\)

We are 90% confident that the true difference between the mean strengths of the two types lies between 0.015 and 0.105. The data does not show at the 0.05 level that the mean strengths are different, with a p-value of approximately 0.055. Therefore, we fail to reject the null hypothesis that the means are equal.

To find a 90% confidence interval for the difference in the mean strengths of the two types, we can use the two-sample t-test with pooled variance. The formula for the confidence interval is:

\($(\bar{x}_1 - \bar{x}2) \pm t{\alpha/2,\nu} \cdot s_p \cdot \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$\)

Plugging in the given values, we get:

\(\bar{x}1 = 3.18, \bar{x}2 = 3.24, n_1 = 5, n_2 = 7, s_p = \sqrt{\frac{ (n_1 - 1)s_1^2 + (n_2 - 1)s_2^2 }{ df }} = \sqrt{\frac{ (40.042^2 + 60.048^2) }{ 10 }} = 0.046, t{\alpha/2,\nu} = t{0.05/2,10} = 2.306$\)

Therefore, the 90% confidence interval for the difference between the mean strengths of the two types is:

\($(3.24 - 3.18) \pm 2.306 \cdot 0.046 \cdot \sqrt{\frac{1}{5}+\frac{1}{7}} = 0.06 \pm 0.045$\)

So the interval is (0.015, 0.105).

Thus, we are 90% confident that the true difference between the mean strengths of the two types lies between 0.015 and 0.105.

To test whether the mean strengths are different, we can use a two-tailed hypothesis test with a significance level of 0.05. The null hypothesis is that the means are equal, while the alternative hypothesis is that they are different. We can calculate the t-value as:

\($t = \frac{\bar{x}_1 - \bar{x}_2}{s_p \cdot \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} = \frac{3.18-3.24}{0.046 \cdot \sqrt{\frac{1}{5}+\frac{1}{7}}} = -2.13$\)

The degrees of freedom are the same as before, \($df = n_1 + n_2 - 2 = 10$\)

The p-value is the probability of getting a t-value at least as extreme as the observed one, assuming the null hypothesis is true. From a t-distribution table, we can find that the p-value for t = -2.13 with df = 10 is approximately 0.055. Since this is greater than the significance level of 0.05, we fail to reject the null hypothesis.

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The perimeter of the polygon formed by the last digits of the student codes (1, 3, 9, and 1) in the group is 3 units.

To find the perimeter of the polygon formed by the last digits of the student codes in the group, proceed as follows:

1. Determine the last digit of each student's code: The last digits given are 1, 3, 9, and 1.

2. Arrange the digits in a clockwise or counterclockwise order to form the vertices of the polygon. Let's choose counterclockwise order for this example: 1-3-9-1.

3. Identify the distances between consecutive vertices: In this case, we have the following distances: 1-3, 3-9, 9-1.

4. Calculate the length of each side: Since the last digits represent the student codes and not specific values, we can assume unit length for simplicity. Therefore, the length of each side is 1 unit.

5. Compute the perimeter: Add up the lengths of all sides to obtain the perimeter. In this case, the perimeter is 1 + 1 + 1 = 3 units.

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To find the inverse of a function you just have to switch the x and the y and then solve for y.

Inverse Function

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f^-1 or F^-1.

The inverse function returns the original value for which a function gave the output.

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Answer:

C.

Step-by-step explanation:

WE need to convert the given equations  into the standard form

(x - a)^2 + (y - b)^2 = r^2 where r = the radius.

x^2 + y^2 + 12x - 20y+ 132 = 0

(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132

(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4

giving a radius of 2

x^2 + y^2 + 12x - 20y + 55 = 0

will give a right hand side of -55 + 36 + 100 = 81  giving radius 9.

x^2 + y^2 - 12x+ 20y + 127 = 0

- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.

Answer:

The answer is C I hope this helps

Answer:

0.75≠100.4

Step-by-step explanation:

the limit of the given expression as x approaches 2 is 1/5.

To find the limit of the expression:

lim(x→2) [(ln(x + 3) - ln(5))/(x - 2)]

We can simplify it using logarithmic properties. Recall that the logarithmic property states:

ln(a) - ln(b) = ln(a/b)

Applying this property to our expression, we have:

lim(x→2) [ln((x + 3)/5)/(x - 2)]

Now, let's evaluate the limit:

lim(x→2) [ln((x + 3)/5)/(x - 2)]

By direct substitution, we get an indeterminate form of 0/0. We can use L'Hôpital's Rule to find the limit.

Applying L'Hôpital's Rule, we take the derivative of the numerator and the derivative of the denominator:

lim(x→2) [(1/(x + 3))/1]

Simplifying further, we have:

lim(x→2) [1/(x + 3)]

Now, we can substitute x = 2 into the expression:

lim(x→2) [1/(2 + 3)]

= lim(x→2) [1/5]

= 1/5

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