In a game, a player randomly pulls a card from a stack that contains 2 red, 2 yellow, and 4 black cards. Only yellow cards will be added to the stack. How many yellow cards should be added to the stack to make the chance of pulling a yellow card 50%? Enter the answer in the box.​

Answer:

Step-by-step explanation:

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The factors of the polynomial function f(x) must be x, x + 6  and x + 3

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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The correct option is (b) -30±15.3. To calculate the confidence interval, we can use the formula: (μ₂₉ − μ₂₁) ± t* (SE).

t is the t-value with 8 degrees of freedom and a 99% confidence level, and SE is the standard error of the difference between the means:

SE = √[(s₁²/n₁) + (s₂²/n₂)]

Plugging in the given values, we get:

SE = √[(8²/9) + (13²/9)] = 6.02

The t-value for 8 degrees of freedom and a 99% confidence level is 3.355.

So, the confidence interval is:

(78-48) ± 3.355*6.02 = 30 ± 15.3

Therefore, the 99% confidence interval for μ₂₉ − μ₂₁ is -30±15.3.

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Answer:

14

Step-by-step explanation:

350÷25=14 $14 per each sticker

Answer:

its 14$

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc angle KLM will be twice ∠KSM = 210°

Arc angle ML will be 210 - 130 = 80°

Arc angle LMS will be twice ∠LKS = 160°

Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°

Answer: Population

Step-by-step explanation: Population is refers to the whole or entire members or of a given set. This is different from a sample which is used to refer to members of a subset (a subset is a certain portion or fraction of an entire set). In the scenario above, since the evaluation was based on the entire number of registered voters in the country, this means we are referring to a population. The inference about the percentage of democratic voters was drawn from a pool of all the entire number of registered voters available in the country and not from a certain subset or portion of registered voters. Hence, the evaluated group is a population.

The 5 ft by 8 ft dimensions of the car and the (width) 2 ft by (height) 3 ft dimensions of the chair, indicates that the vehicle can haul both chairs in one trip.

The dimensions of rectangularly shaped solid are the height, the width and the length of the solid.

The possible dimensions of the vehicle and the chair obtained from a similar online question are;

Length of the vehicle = 8 feet

Width of the vehicle = 5 feet

The height of one chair = 3 feet

The width of one chair = 2 feet

Therefore;

The width of the vehicle of 5 feet indicates that the vehicle can contain the two chairs placed side by side with their widths of 2 feet each, to get;

Width of  the two chairs = 2 feet + 2 feet = 4 feet < 5 feet

The two chairs placed horizontally, such that we get;

The total length of the horizontally placed chairs = 3 feet + 3 feet = 6 feet

The combined height of the two chaires, of 6 feet is less than the length of the car which is 8 feet, therefore;

The car can haul both chairs placed horizontally in a single trip.

The vehicle could therefore be used to haul both chairs in a single trip.

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Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

Answer:

135 minutes

Step-by-step explanation:

Answer:

135 minutes

Step-by-step explanation:

1 hour= 60 minutes

2hours=60x2=120 minutes

120+15=135 minutes

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Answer:

$143,000

Step-by-step explanation:

Newman consulting company maintains its record on its cash basis

The first step is to calculate the revenue

$420,000+($60,000-$52,000)

= $420,000+$8,000

= $428,000

The expenses can be can be calculated as follows

Utilities expenses = $35,000-($6,000-$4,000)

= $35,000-$2,000

= $33,000

Advertising expenses= $12,000

Salaries expenses= $240,000

Total expenses= $240,000+$12,000+$33,000

= $285,000

Therefore the accural net income for the year can be calculated as follows

= revenue - expenses

= $428,000-$285,000

= $143,000

Hence the accrual net income for the year is $143,000

Answer:

Because one pair are vertical angles

Because one pair are each supplementary to equal angles

Step-by-step explanation:

LKO is congurent to LMO

Step-by-step explanation:

angle k =angle m

lk=LM

lo=Lo (common)

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Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.

Answer:

\(\frac{1}{3^{4} } \\\\\frac{1}{81}\)

Step-by-step explanation:

Answer: -81, the product would just be 3∧4 but negative

Answer:

D: 5(9a-2b)

Step-by-step explanation:

Each expression in the choices is factored, so we need to see how to factor the given expression.

To factor the given expression, you need to factor out the greatest common factor of both terms.

The terms are 45a and -10b.

The GCF of 45 and -10 is 5.

The GCF of a and b is 1. There is no common factor other than 1.

The GCF of the 2 terms is 5, so we factor out a 5.

45a - 10b = 5(9a - 2b)

Answer: D: 5(9a-2b)

Answer:250%

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x=-12, \ y = 8}\)

Step-by-step explanation:

-x - y = 4 --------------(1)

x + 2y = 4 ------------(2)

-x - y + x + 2y = 4 + 4

-y + 2y = 8

Put y = 8 in Eq. (1)

-x - 8 = 4

-x = 4 + 8

-x = 12

\(\rule[225]{225}{2}\)

The equation of the line in slope-intercept form that connects the centers of the two given circles is y = (7/5)x - (11/5).

The equation of a line in slope-intercept form has the form: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two circles with equations \(x^(2)+y^(2)+4x+8y-10=0, and x^(2)+y^(2)+18x-18y-59=0\), we can calculate the coordinates of the centers of each circle. The first circle has a center at (2, -4) and the second circle has a center at (-3, 3). We can then use the two points to calculate the slope of the line connecting their centers.

The slope m can be calculated with the formula \(m = (y2 - y1) / (x2 - x1)\). We can plug in the coordinates of the centers to calculate the slope:\(m = (3 - (-4)) / (-3 - 2) = 7/5.\)

We can now calculate the y-intercept b of the line. We can use the point-slope form of a line: y - y1 = m(x - x1). We can plug in the coordinates of one of the points and the slope to calculate the y-intercept: -4 - 7/5(2) = -11/5.

Therefore, the equation of the line in slope-intercept form that connects the centers of the two given circles is y = (7/5)x - (11/5).

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Using a geometric sequence, it is found that the rule for the number of matches played in the nth round is given by:

\(a_n = 64\left(\frac{1}{2}\right)^n\)

The rule makes sense for values of n of at most 6, as in the last round, which is the 6th and final round, 1 game is played.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

In this problem, we have that:

Thus, the rule is:

\(a_n = 64\left(\frac{1}{2}\right)^n\)

The last round is the final, in which 1 game is played, hence:

\(1 = 64\left(\frac{1}{2}\right)^n\)

\(\left(\frac{1}{2}\right)^n = \frac{1}{64}\)

\(\left(\frac{1}{2}\right)^n = \left(\frac{1}{2}\right)^6\)

\(n = 6\)

Hence, the rule makes sense for values of n of at most 6, as in the last round, which is the 6th and final round, 1 game is played.

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According to SAS Congruence Theorem and the reflexive property of congruence, it can be proved  that ΔSPQ ≅ ΔTPQ.

It is given to us that -

PQ bisects ∠SPT

SP ≅ TP

We have to prove that ΔSPQ ≅ ΔTPQ

Now, as PQ bisects ∠SPT,

∠SPQ = ∠TPQ

Also, according to the Reflexive Property of Congruence, PQ is a common side of both triangles - ΔSPQ and ΔTPQ.

Thus, according to SAS Congruence Theorem,

"If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent."

Therefore, according to SAS Congruence Theorem, we have proved that ΔSPQ ≅ ΔTPQ.

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well, from the picture the new plumbing would be $1640, at least that's what's in budget, now, we know that it's going to cost 35% more than that, hmmm well, how much is 35% of 1640?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 1640}}{\left( \cfrac{35}{100} \right)1640}\implies 574~\hfill \underset{final~plumbing~cost}{\stackrel{1640~~ + ~~574}{\text{\LARGE 2214}}}\)

Answer:

The value of digit 5 is thousand

Step-by-step explanation:

Digit 5 has thousand value in 75 389

Answer:

64 packages per day

Step-by-step explanation:

Answer:

64 packages

Step-by-step explanation:

8 packages per hour so multiply that by 8 and u get 64 . This should be right but sorry if it is wrong.

Answer:

3/2 for blank 1

Step-by-step explanation:

5/9 for blank 2

Answer:

cant see image

Step-by-step explanation:

The measure of angle B is x, while the measure of angle A is 2·x. The 70° measure of angle C and the angle sum property of the interior angles of a triangle indicates that angle B is \(36.\overline 6^{\circ}\) and angle A is \(73.\overline 3^{\circ}\)

The interior angles of a triangle are the angles formed by the sides sides of the triangle.

The question can be solved by making use of the known properties of a triangle.

The angle sum property of the interior angles in a triangle gives;

The sum of the interior angles of a triangle is 180°

Therefore; x + 2·x + 70 = 180

3·x = 180° - 70° = 110°

\(x = \dfrac{110^{\circ}}{3} = 36\frac{2}{3} ^{\circ}\)

The measure of angle A is 2·x

Which gives;

\(A = 2 \times 36\frac{2}{3} ^{\circ} = 73\frac{1}{3} ^{\circ} = 73.\overline 3^{\circ}\)

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The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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