What is the length of the indicated side of the trapezoid? ​

Answer:

3 is -15/2 and 4 is -3/2

Step-by-step explanation:

If im not mistaken these are the awansers

Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08  the probability that more than 5 patients arrive at the hospital

What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?

Step-by-step explanation:

Group of answer choices

A. 0.43

B. 0.18

C. 0.82

D. 1

Part two of the question:

using the same information as stated before,

Match the probability statements with the correct probabilities.

(choose one answer)

The probability that X is less than or equal to 5.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is greater than 7.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is between 3 (noninclusive) and 7 (noninclusive).

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that no patients arrive in that interval.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The statement is false, the behavior is recorded in discrete intervals of time

In interval recording procedures, the behavior is recorded in discrete intervals of time within the observation period rather than consecutive periods.

Interval recording involves dividing the observation period into equal time intervals and recording whether the behavior occurs or not during each interval.

This method provides an estimate of the occurrence of behavior during specific time segments rather than continuous monitoring of behavior throughout the entire observation period.

So the statement is false.

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The correct answers are -

1. Probability of drawing a yellow is 12/99

2. Odds in favour of drawing are 12/87

3. Probability and odds are related through favourable and unfavourable outcomes.

Firstly calculating the total number of candies.

Total number of candies = 115 + 75 + 95 + 60 + 45 + 50 + 55

Performing addition on Right Hand Side of the equation

Total number of candies = 495

Now, the probability of drawing a yellow = number of yellow candies ÷ total number of candies

Probability of drawing a yellow = 60 ÷ 495

Performing division on Right Hand Side of the equation

Probability of drawing a yellow = 0.12

Now, for calculation of second part and answer of third part, relating the probability and odds.

Odds = favourable outcomes ÷ non favourable outcomes

Simplifying the probability in fractional form = 12/99

Favourable outcomes = 12

Non favourable outcomes = 99 - 12

Non favourable outcomes = 87

Odds = 12/87

Thus, probability is 0.12 and odds are 12/87.

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The complete question is attached in the figure.

Answer:

The table shows the progress of a plant's growth. The height of the plant, y, is given by the table, where x is the number of days.

Which statements are correct?

A)

The rate of change is 2 cm.

B)

The plant's height at 10 days is 30 cm.

The plant's height at 30 days is 40 cm.

D)

The initial height of the plant is 0 centimeters high.

Step-by-step explanation:

The plant's growth can be modeled by the equation y-2x+10.

e is the answer please give me brain list

Answer:

i dont know i just needed points

Step-by-step explanation:

^^

The situation that describes a similar but not congruent triangle is a dilation, as the side lengths are different but the angle measures are constant.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The definitions for similar and congruent triangles are given as follows:

For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.

The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.

This problem is incomplete, hence a simple example was given of a case in which triangles are similar but not congruent.

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Answer:

m = \(\frac{2-p}{n}\)

Step-by-step explanation:

Given

mn + p = 2 ( subtract 2 from both sides )

mn = 2 - p ( isolate m by dividing both sides by n )

m = \(\frac{2-p}{n}\)

Answer:

Hello, have a great day.

The solution of integral ∫8cos³(4x) dx is (2/3) sin(4x) + (1/9) sin(12x) + C

Using the power rule of integration and applying the chain rule, we can evaluate the integral as follows:
To solve this integral, we have to use the trigonometric identity:

cos³(x) = (1/4) (3cos(x) + cos(3x))

Rewriting the integral as:

∫ 8cos³(4x) dx = ∫ 8 [(1/4) (3cos(4x) + cos(12x))] dx

Now, integrating each term

∫ 8 [(1/4) (3cos(4x) + cos(12x))] dx

= (2/3) sin(4x) + (1/9) sin(12x) + C

Where C is the constant of the integration.

Therefore, the solution is:

∫ 8cos³(4x) dx = (2/3) sin(4x) + (1/9) sin(12x) + C

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The alternative hypothesis would be that the slope coefficient is not equal to zero, indicating that there is a linear relationship between sales and profit.

The null hypothesis for testing a linear regression model with profit as the dependent variable and sales as the independent variable is that the slope coefficient is equal to zero.

The null hypothesis for a linear regression model is usually stated as:

H0: β1=0, where β1 is the slope coefficient of the independent variable in the model.

In this case, the independent variable is sales, and the dependent variable is profit.

Therefore, the null hypothesis would be that the slope coefficient of sales (β1) is zero, indicating that there is no linear relationship between sales and profit.

The alternative hypothesis would be that the slope coefficient is not equal to zero, indicating that there is a linear relationship between sales and profit.

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The solution to the expression after the sequence of operations is -3.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

Expression: 8 + 3 - 7 · 18/6

Expression: 8 + 3 - 7 · 2 (division)

Expression: 8 + 3 - 14 (multiplication)

Expression: 11 - 14 (addition)

Expression: -3 (subtraction)

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The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.

We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.

We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.

Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.

Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.

Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.

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Answer:

The daughter got 31 cows

Step-by-step explanation:

1/2 of 124 is 62

1/4 of 124 is 31

124 - (62 + 31)

124 - 93 = 31

helping in the name of Jesus.

The series ∑\((-1^{(k+1)}5^{(2k-1)}/2^{3k})\) converges.

To determine the convergence of the series

∑ \((-1^{(k+1)}5^{(2k-1)}/2^{3k})\) we can use the root test.

First, let's compute the nth root of the absolute value of the kth term:

lim┬(k→∞)⁡〖\(( |(-1^{(k+1)}5^{(2k-1)}/2^{[3k]})|^{[(1/k)})\)=lim┬(k→∞)⁡(|\((-1)^{(k+1)}.5^{(2k-1)}/2^{(3k)}|^{(1/k)})\)=lim┬(k→∞)⁡(|\(5^2.(-1/8)|^{(1/k\)))=5/8<1〗

Since the limit of the nth root of the absolute value of the kth term is less than 1, the series converges absolutely.

Therefore, the series ∑\((-1^{(k+1)}5^{(2k-1)}/2^{3k})\) converges absolutely.

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Answer:

2.857m/s^2

Step-by-step explanation:

Acceleration (a) is the change in velocity (v) over the change in time (t), represented by the equation a = v/t.

Here, we are concerned about two variables from the above data set, namely, Condo or co-ops and the Unemployment rate. We use the CORREL function of Excel to calculate the correlation coefficient rate and it is = R = -0.01873.

A Weak (negative) correlation exists between the list price of condominiums and co-ops and the unemployment rate.

The correlation coefficient is a statistical measure of the strength of the connection between the relative actions of two variables. The values varied between -1.0 and 1. zero. A calculated wide variety greater than 1. zero or less than -1.zero means that there was an error within the correlation size.

The correlation coefficient is decided with the aid of dividing the covariance by way of the product of the 2 variables' popular deviations.

Correlation values above 0. eight are deemed to signify a strong tremendous linear courting between the variables. Values among zero and 0. three imply a vulnerable relationship or none.

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The new area of the triangle is still 125, even though the base was doubled and the height was reduced to one-half its original length.

To find the new area of the triangle, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x base x height

We know that the original area of the triangle is 125, so we can set up an equation:

125 = (1/2) x base x height

We also know that the base of the triangle is doubled, so we can replace "base" with "2x base":

125 = (1/2) x 2x base x height

Next, we know that the height is reduced to one-half its original length, so we can replace "height" with "(1/2) x original height":

125 = (1/2) x 2x base x (1/2) x original height

Simplifying the equation, we get:

125 = (1/4) x 2x base x original height

Multiplying both sides by 4, we get:

500 = 2x base x original height

Dividing both sides by 2, we get:

250 = x base x original height

So, the new area of the triangle is:

Area = (1/2) x 2x base x (1/2) x original height

Area = (1/2) x x base x (1/2) x 2 x original height

Area = (1/2) x x base x original height

Area = (1/2) x 250

Area = 125

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Answer:

Step-by-step explanation:

if you can use negative numbers then   you could use 21 and -15

so

adding them together is  21 + (-15) = 6

and then subtracting  21 - (-15) =

                                     21 + 15 = 36

do you think that would work ?  :/

Answer:

21 &-15

Step-by-step explanation:

Plz mark brainly =)

The amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60.

To calculate the accumulated amount by the end of the sixth and final payment, we can use the future value of an ordinary annuity formula:

Future Value = Payment × Future Value of an Ordinary Annuity Factor

The payment is $5,800, and the interest rate is 9%. Since the payments are made at the end of each year, we can use the future value table for an ordinary annuity at 9%.

Looking up the factor for 6 years at 9% in the future value table, we find it to be 7.169858.

Now we can calculate the accumulated amount:

Future Value = $5,800 × 7.169858 = $41,666.60

Therefore, the amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60. The correct answer is not among the options provided.

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We see that angle 1 and angle 2 are equal.

By the vertical angle theorem, the opposite (vertical) angles of two intersecting lines are congruent, we see that angle 1 and angle 3 must be equal. Since angle 1 and angle 2 are equal, then angle 2 and angle 3 are equal.

And for angle 1, it must be 90 degrees, because if it was any other angle measure, angle 1 and angle 2 could never be equal

The approximate length of RS is 10 units.

We have the information from the question:

Length of the RX is = 6 units

Length of the XW is = 8 units

We have to find the length of RS.

Now, According to the question:

We use the formula, for finding the length of RS

\(RS=\sqrt{RX^2+XW^2}\)

Plug all the values in above formula, we get:

\(RS =\sqrt{6^2+8^} \\\\\)

\(RS=\sqrt{36+64}\)

\(RS=\sqrt{100}\)

RS = 10 units.

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In quadrilateral PQRS, ∠P and ∠S are opposite angles.

The amount of sugar in the entire shipment is 97(1)/(2) tons.

We are given that a shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, we need to find the amount of sugar in the entire shipment.

Step-by-step explanation:

One container of sugar holds 3(3)/(4) tons of sugar. There are 2(1)/(5) containers of sugar in the shipment.

Amount of sugar in one container = 3(3)/(4) tons

Amount of sugar in 2(1)/(5) containers

= 2(1)/(5) × 3(3)/(4) tons

= 13/5 × 15/4 = 195/20

= 97(1)/(2) tons

Therefore, the amount of sugar in the entire shipment is 97(1)/(2) tons.

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\(cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill\)

\(sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}\)

The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We're given that:

cosθ = 3/5 for some angle θ

Since we've got:

\(\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\)

Therefore, we have:

\(\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\)

Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).

(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)

Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:

\(p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units\)

(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).

Thus, we have:

From the perspective of the angle θ:

Thus, using these values, and the definition of the trigonometric ratios, we get:

Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

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