Find the measure of each marked angle, Ox x+50)" (180-3x) (Simplify your answers.

The probability of drawing 2 successive red pens is \(\frac{1}{66}\)

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of drawing a red pen on the first draw is 2/12 = 1/6. After the first red pen is drawn, there is 1 red pen left in the bag, so the probability of drawing another red pen is 1/11.

Therefore, the probability of drawing 2 successive red pens is 1/6 * 1/11 = 1/66.

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Answer:

4. t ≥0

5. x>0

6. k ≤ 3

7. r ≥ 2

8. v ≥ 7

Step-by-step explanation:

I hope this helps

Let's assume the length of the rectangle is x feet. According to the given information, the width is 5 feet longer than the length, so the width would be (x + 5) feet.

The formula for the area of a rectangle is:

Area = length × width

Given that the area of the rectangle is 266 square feet, we can write the equation:

266 = x(x + 5)

Expanding the equation, we get:

266 = x^2 + 5x

Rearranging the equation in standard quadratic form:

x^2 + 5x - 266 = 0

Now we can solve this quadratic equation. Factoring or using the quadratic formula, we find that the solutions are x = 14 and x = -19. However, since we are dealing with dimensions, the length cannot be negative. Therefore, the length of the rectangle is 14 feet.

To find the width, we substitute the value of x into the expression (x + 5):

Width = 14 + 5 = 19 feet

So, the dimensions of the rectangle are length = 14 feet and width = 19 feet.

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Answer:

a = 17

Step-by-step explanation:

1,734 = 6a^2

1,734/6 = 6a^2/6

\(\sqrt{289}\) = \(\sqrt{a^2}\)

a = 17

Answer:

side = 17 mm

Step-by-step explanation:

1734/6 = 289

√289 = 17 mm

The value of b could be 0 so that the equation x + 3 - (1/2)x  = 3/4(bx - 5) has exactly one solution.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equations are:

x + 3 - (1/2)x  = 3/4(bx - 5)

Let

b = 0

x + 3 - (1/2)x  = 3/4(- 5)

x/2 = -15/4 - 3

x/2 = -27/4

x = -27/2

Thus, the value of b could be 0 so that the equation x + 3 - (1/2)x  = 3/4(bx - 5) has exactly one solution.

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Answer:

1/12

Step-by-step explanation:

a) The probability that an apple from the tree has a weight greater than 90 grams is of: 0.2514 = 25.14%.

b) i) The p-value of the test is of: 0.0045.

b) ii) The conclusion of the test is given as follows: There is enough evidence to conclude that the mean weight of apples from tree A is greater than the mean weight of apples from tree B, as the p-value of the test is less than the significance level.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the weight of the apples are given as follows:

\(\mu = 85, \sigma = 7.5\)

The probability that an apple from the tree has a weight greater than 90 grams is one subtracted by the p-value of Z when X = 90, hence:

Z = (90 - 85)/7.5

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514 = 25.14%.

For each sample, the mean and the standard error are given as follows:

Hence, for the distribution of differences, the mean and the standard error are given as follows:

The test statistic is given by the division of the mean by the standard error of the distribution of differences, hence:

z = 4.2/1.61 = 2.61.

Using the z-table, with z = 2.61, the p-value is of:

0.0045.

As the p-value is less than the significance level, there is enough evidence to conclude that the mean weight of apples from tree A is greater than the mean weight of apples from tree B.

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Hey there!

Both people read a total of 23 books . . .

23 - 5 = 18

18 divided by 2 = 9

This means Rocky read 9 books.

9 + 5 = 14 <-------

Shannon read 5 more books than Rocky. . .

Shannon read 14 books.

Hope this helps you.

Have a great day!

Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

Answer:

66 ur welcome

Answer:

It will take Kyle 10 months to have at least as much money as John. At 10 months both will have 600$

Step-by-step explanation:

John has $200 in his bank account. He saves $40 of his allowance each month. Therefore:

John = 40n+200

Where n is the number of months.

Kyle has $100 in his bank account but he is saving $50 each month.  Therefore:

Kyle = 50n+100

To see how much until they are equal or in other words, does Kyle have at least as much money as John has, we make equations equal.

40n+200=50n+100

200=10n+100

100=10n

10=n

Thus, we see that it will take 10 months for Kyle to have at least as much money as John has. We can quickly test this:

John:

John = 40n+200

John = 40(10)+200

John = 600$

Kyle:

Kyle = 50n+100

Kyle = 50(10)+100

Kyle = 600$

Thus, we see that it will take 10 months for Kyle to have at least as much money as John has.

The slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

The rate of change of a curve at a certain position is represented by the slope of a tangent line to the curve at that location. In other words, it indicates whether the curve is steep or shallow at that particular location. Calculating the derivative of a function in calculus also requires estimating the slope of a tangent line, which is a crucial step. We may determine the slope of the tangent line and subsequently the derivative of the function at a location by determining the limit of the slope of a secant line as the two points on the line approach closer and closer together.

The equation of the ellipse is x²)/16 +y²/4=1.

We take the derivative of the equation with respect to xto find the slope:

x²/16 + y²/4 = 1

(x²/16)' + (y²/4)' = 1'

2x/16 + 2y/4 * dy/dx = 0

dy/dx = -x/(2y)

When the denominator of 2y equals 0, there are some locations where the slope is not specified. The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0), and all locations on the x-axis between these two points when y = 0, which occurs.

Hence, the slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

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Answer:

d

Step-by-step

bc I did my times table

Answer:

A

Step-by-step explanation:

I think you forgot to add the closing ")" bit I'll assume it's supposed to go after the "4,000" or "40,000".

64,000÷ 10= 6,400

the first one should be your answer.

Answer:

18

Step-by-step explanation:

you dd u all sides 6+6+3+3

Answer:

18 ft

Step-by-step explanation:

So to get our answer, we add up all 4 sides of the rectangle. We know that rectangles have two pairs of parrallel sides, so we have 6 6 3 3.

We add up those four variables(6+6+3+3) to get our answer of 18 ft!

Hope this helped ya out ^^

Let Ch and C denote the events of a student receiving an A in chemistry or calculus, respectively. We're given that

P(Ch) = 88/520

P(C) = 76/520

P(Ch and C) = 31/520

and we want to find P(Ch or C).

Using the inclusion/exclusion principle, we have

P(Ch or C) = P(Ch) + P(C) - P(Ch and C)

P(Ch or C) = 88/520 + 76/520 - 31/520

P(Ch or C) = 133/520

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

To determine an orthonormal basis for the subspace of p2 spanned by the polynomials f(x), g(x), and h(x), we can use the Gram-Schmidt process. This process allows us to transform a set of linearly independent vectors into an orthonormal set.

Let's go through the steps of the Gram-Schmidt process for this specific problem Start with the first polynomial, f(x), as our first vector. Normalize f(x) by dividing it by its magnitude (or norm). This will give us our first orthonormal vector, let's call it u1. Next, we move on to g(x), the second polynomial. Subtract the projection of g(x) onto u1 from g(x) itself. The projection of g(x) onto u1 is found by taking the dot product of g(x) and u1, and then multiplying u1 by this dot product. Subtracting this projection from g(x) gives us a new vector, which we'll call v2.

Normalize v2 by dividing it by its magnitude. This will give us our second orthonormal vector, u2. Finally, we move on to h(x), the third polynomial. Again, we subtract the projections of h(x) onto u1 and u2 from h(x) itself. The projection of h(x) onto u1 and u2 is found by taking the dot product of h(x) and each u vector, and then multiplying the respective u vector by these dot products. Subtracting these projections from h(x) gives us a new vector, which we'll call v3. It's important to note that the Gram-Schmidt process can be applied to any set of linearly independent vectors to obtain an orthonormal basis. The resulting orthonormal basis is useful in various areas of mathematics, such as solving systems of linear equations and diagonalizing matrices.

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Answer:

1 3/4 / 4

x / 3

Step-by-step explanation:

The answer is about 1.31 cups.

hope this helps

Answer:

Step-by-step explanation:

DE = \(\frac{1}{2}\)AC = 4 units

Answer:

Given:-

AB = AC

Also , BD and CE are two medians

Hence , 

E is the midpoint of AB and

D is the midpoint of CE

Hence ,

1/2 AB = 1/2AC

BE = CD 

In Δ BEC and ΔCDB ,

BE = CD [ Given ]

∠EBC = ∠DCB [ Angles opposite to equal sides AB and AC ]

BC = CB [ Common ]

Hence ,

Δ BEC ≅ ΔCDB [ SAS ]

BD = CE (by CPCT)

Step-by-step explanation:

4 units hope this helps... and pls mark me as brainliest if u want

Since the p-value (0.034) is less than the significance level of 0.05, we reject the null hypothesis. This suggests evidence against the claim that the median percent of impurities in the brand of jam is 2.5%.

To perform the sign test, we compare the observed values to the hypothesized median value and count the number of times the observed values are greater or less than the hypothesized median. Here's how we can proceed:

State the null and alternative hypotheses:

Null hypothesis (H0): The median percent of impurities in the brand of jam is 2.5%.

Alternative hypothesis (Ha): The median percent of impurities in the brand of jam is not 2.5%.

Determine the number of observations that are greater or less than the hypothesized median:

From the given data, we can observe that 5 jars have impurity percentages less than 2.5% and 11 jars have impurity percentages greater than 2.5%.

Calculate the p-value:

Since we are performing a two-tailed test, we need to consider both the number of observations greater and less than the hypothesized median. We use the binomial distribution to calculate the probability of observing the given number of successes (jars with impurity percentages greater or less than 2.5%) under the null hypothesis.

Using the binomial distribution with n = 16 and p = 0.5 (under the null hypothesis), we can calculate the probability of observing 11 or more successes (jars with impurity percentages greater than 2.5%) as well as 5 or fewer successes (jars with impurity percentages less than 2.5%). Summing up these probabilities will give us the p-value.

Compare the p-value to the significance level:

Since the significance level is 0.05, if the p-value is less than 0.05, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

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An Unsecured Line of Credit is a variable rate credit product that allows you access to funds as you need them.  As you repay your outstanding balance, the amount of available credit is replenished and made available for future use.  Qualifying is simple.1 You do not need to use your home or other personal assets as collateral.  An Unsecured Line of Credit provides peace of mind because you’ll always have immediate access to funds as needed.

Answer:A-

A line of credit which does not require collateral

Step-by-step explanation:

It will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

To determine the time it will take to save enough money, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r,

where FV is the future value, P is the monthly payment, r is the monthly interest rate, and n is the number of periods.

Given:

Desired future value (FV) = $5000,

Monthly payment (P) = $240,

Monthly interest rate (r) = 5% / 12 = 0.05 / 12 = 0.004167.

We need to solve for the number of periods (n) in the formula. Rearranging the formula, we have:

n = log(1 + (FV * r) / P) / log(1 + r),

where log denotes the logarithm with base 10.

Plugging in the given values, we get:

n = log(1 + ($5000 * 0.004167) / $240) / log(1 + 0.004167).

Using a calculator, we find that n is approximately 20.998, which rounds up to 21.

Therefore, it will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

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Answer:

600

Step-by-step explanation:

Hey! Hope this helped i got this question a couple of days ago and thats what i wrote

Answer:

600

Step-by-step explanation:

If you multiply 150 by 4 and 120 by 5, you get 600, and since you cannot find a multiple that is lower, it's the LCM.

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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95 and 50 are the measures of those two angles.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

given, One angle of a triangle measures 35°. The other two angles are in a ratio of 10:19.

Let second angle of the triangle is "x"

Thus, third angle of triangle will be = 10/19x

Since, sum of the three angles of triangle is 180 degrees

35 + x + 10/19x = 180

29x/19 = 145

x = 5 *19

x = 95

So, Second angle of triangle = x = 95

Third angle of triangle = 10/19x = 50

therefore, the measures of those two angles are 95 and 50.

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Answer:

-12=-8 -4

-4= -9 +5

4=9+ (-5)

12= 8-(-4)

Step-by-step explanation:

We can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

To match each expression on the left with its numeric equivalent, we can simply evaluate the expressions:

Expressions play a crucial role in human interaction, conveying emotions, intentions, and information without the need for extensive verbal communication. They enrich our conversations and help create deeper connections with others.

-9 + 5 = -4

9 + (-5) = 4

8 - (-4) = 12

-8 - 4 = -12

Now, we can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

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Answer:

C

the answer is C, the third graph