Which point has coordinates of (2, 0)?

To solve for p in the equation 1/3p + 1/2p = 7/6p + 5 + 4, you need to combine like terms and isolate p. The solution is p = 27.

To solve for p in the equation 1/3p + 1/2p = 7/6p + 5 + 4, you need to combine like terms and isolate p on one side of the equation.

Multiply the fractions by their respective denominators to eliminate the fractions. This gives us 2/6p + 3/6p = 7/6p + 9.

Combine like terms. On the left side, 2/6p + 3/6p = 5/6p. On the right side, 7/6p + 9 remains unchanged.

Subtract 5/6p from both sides to isolate p. This gives us 7/6p - 5/6p = 9.

Combine like terms on the left side. 7/6p - 5/6p = 2/6p.

Simplify the equation further. 2/6p = 9 can be reduced to 1/3p = 9.

Multiply both sides of the equation by the reciprocal of 1/3, which is 3/1. This gives us p = 9 * (3/1) = 27.

Therefore, the solution for p in the equation is p = 27.

Answer:

P(X=0) = 0.0332

Step-by-step explanation:

5% of the employees are dehydrated. I.e. p = 5/100

p = 0.05

The percentage of employees that are not dehydrated = 100-5 = 95%

q = 1 - p = 1 - 0.05

q = 0.95

A total of 8 employees were randomly selected. n = 8

This is a binomial distribution question

P(X =r) = nCr (p^r)q^(n-r)

n = 8, r = 0

n -r = 8-0 = 8

P(X = 0) = 8C0 (0.05^0)(0.95^8)

8C0 = 1

P(X=0) = 1 * 1* 0.6634

P(X=0) = 0.6634

Answer:

The probability of picking 8 employee and none of them is dehydrated is 0.66

Step-by-step explanation:

P(employee is dehydrated) = 5%=5/100=1/20= 0.05

P(employee not dehydrated) = 1 - 0.05= 0.95

The probability of picking 8 employee and they are not dehydrated is:

= (0.95)^8

= 0.6634204312890625

= 0.66

Answer:

The sample size must be atleast 3600

Step-by-step explanation:

We are given the following in the question:

The scores of individual students on the American College Testing (ACT) Program is a bell shaped distribution that is a normal distribution.

Population standard deviation = 6.0

We want that the sample standard deviation should not be more than 0.1.

Thus, the standard error should not be more than 0.1.

Standard error =

[tex]=\dfrac{\sigma}{\sqrt{n}}[/tex]

Putting values, we get,

[tex]\dfrac{\sigma}{\sqrt{n}}\leq 0.1\\\\ \dfrac{6}{\sqrt{n}} \leq 0.1\\\\ \sqrt{n}\geq 60\\n\geq 3600[/tex]

Thus, the sample size must be atleast 3600

Answer:

2(4x− 9) = 5(x − 4)

=>8x- 18= 5x-20

=>8x-5x= -20+18

=>3x = -2

=>x= -2/3

Answer:

12/7

Step-by-step explanation:

To set up a ratio of "thing 1" to "thing 2", build a fraction with "thing 1" on top (numerator) and "thing 2" on the bottom (denominator).

The ratio of in-state students to out-of-state students is [tex]\frac{108}{63}[/tex] and this can be simplified ("reduced") by dividing both numbers by 9 to get the fraction 12/7.

Final answer:

Explanation on finding the ratio of students planning in-state college to out-of-state college.

Explanation:

The ratio of students planning on going to an in-state college to students planning on going to an out-of-state college:

To find the ratio, you need to divide the number of students planning in-state college by the number planning out-of-state college.

Number of students planning in-state college: 108

Number of students planning out-of-state college: 63

Ratio: 108:63 which simplifies to 36:21 or 12:7

Answer:

0% probability that less than 76 in the sample keypads pass inspection.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 181, p = 0.8[/tex]

So

[tex]\mu = E(X) = np = 181*0.8 = 144.8[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{181*0.8*0.2} = 5.38[/tex]

Find the probability that less than 76 in the sample keypads pass inspection.

Using continuity correction, this is [tex]P(X < 76 - 0.5) = P(X < 75.5)[/tex], which is the pvalue of Z when X = 75.5.

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75.5 - 144.8}{5.38}[/tex]

[tex]Z = -12.88[/tex]

[tex]Z = -12.88[/tex] has a pvalue of 0

0% probability that less than 76 in the sample keypads pass inspection.

Answer:

[tex]\vec{E}=\vec{E_1}+\vec{E_2}=[25856\hat{i}+163443.2\hat{j}]N/C[/tex]

Step-by-step explanation:

The electric field is given by:

[tex]E=k\frac{q_1q_2}{r^2}[/tex]

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

at the point P(0,0.5m) you have both x ad y component of the electric field. For the particle q1 you have:

[tex]\vec{E_1}=Ex\hat{i}+Ey\hat{j}\\\\\vec{E_1}=0\hat{i}+(8.89*10^9Nm^2/C^2)\frac{(5*10^{-6}C)}{(0.5m)^2}\hat{j}=179600N/C\hat{j}[/tex]

for the particle q2, it is necessary to compute the angle between the E vector and the axis, by using the distance y and x. Furthermore it is necessary to know the distance from q2 to the point P.

[tex]\vec{E_2}=Excos\theta \hat{i}-Eysin\theta \hat{j}\\\\\theta=tan^{-1}(\frac{0.5}{0.8})=32\°\\\\r=\sqrt{0.5^2+0.8^2}=0.94m\\\\\vec{E_2}=(8.89*10^9Nm^2/C^2)\frac{(-3*10^{-6C})}{(0.94m)^2}[cos(32)\hat{i}-sin(32)\hat{j}]\\\\=[25856.06\hat{i}-16156.71\hat{j}]N/C[/tex]

Finally, by adding E1 and E2 you obtain:

[tex]\vec{E}=\vec{E_1}+\vec{E_2}=[25856\hat{i}+163443.2\hat{j}]N/C[/tex]

We can build a polynomial given it's degree and zeros. Below I am going to show how we do that, and then I will solve the question, finding that one example of a desired polynomial is:

[tex]f(x) = x^3 - 15x^2 + 54x - 40[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

In this question:

Polynomial of degree 3, so 3 roots.

All positive, I will choose:

[tex]x_1 = 1, x_2 = 4, x_3 = 10[/tex]

I will choose the leading coefficient as a = 1.

Thus

[tex]f(x) = a(x - x_1)(x - x_2)(x - x_3)[/tex]

[tex]f(x) = (x-1)(x-4)(x-10)[/tex]

[tex]f(x) = (x^2-5x+4)(x-10)[/tex]

[tex]f(x) = x^3 - 15x^2 + 54x - 40[/tex]

The image shown in the end of this question shows that this polynomial has three positive roots, also all whole numbers.

Another similar example is given at https://brainly.com/question/21328461

Answer:

104 m^2

Step-by-step explanation:

We first find the area of the rectangle

A = l*w

A = 10*8

A = 80

Then we find the area of the triangle

A = 1/2 bh

A = 1/2 (8)(6)

   = 24

Then we add the areas together to find the total area

80+24 = 104

Answer:

The expected number of matches that occur is 4.

Refer below for the explanation.

Step-by-step explanation:

Refer to the picture for complete steps.

Final answer:

To find the "long" side opposite the 60° angle in a 30-60-90 triangle with a "short" side length of 7, we multiply 7 by √3 to get 7√3.

Explanation:

The student appears to be asking about the relationships between the sides of a 30-60-90 triangle, which is a special type of right triangle. In such a triangle, the sides are in the ratio 1:√3:2. So, if the "short" side opposite the 30° angle is given as 7, then the "long" side opposite the 60° angle can be found by multiplying the short side by √3. To find the hypotenuse (opposite the 90° angle), we would multiply the short side by 2.

Step-by-step to find the long side:

Therefore, the length of the "long" side opposite the 60° angle is 7√3. 

Answer:

[tex]P(8)=700\cdot(1.1)^8\approx 1500[/tex], where t is the number of years since 2010.

Step-by-step explanation:

See my attached image for an explanation!

No triangle can be formed.(answer 4)

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees

We have,

Angles of triangle= 32 degrees, 126 degrees , 32 degrees

We know,

All triangles must have angles that measure up to 180 degrees.

[tex]32^{o} +126^{o} + 32^{o}[/tex]

=[tex]190^{o}[/tex] > [tex]180^{0}[/tex]

Hence ,That means that is no triangle can be formed.

To learn more about triangle from here

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The sum of the given angles exceeds 180 degrees, which violates the basic rule of triangles, so no triangle can be formed with these measures.

To determine what type of triangle can be formed with angle measures of 32 degrees, 126 degrees, and 32 degrees, we need to consider two rules: First, the sum of the angles in any triangle must be 180 degrees. Second, the classification of whether a triangle is acute, obtuse, or right is based on the measures of its angels.

Adding the given angles together (32 degrees + 126 degrees + 32 degrees), we get 190 degrees. Since this sum is greater than 180 degrees, it violates the first rule of triangles. Therefore, no triangle can be formed with these given angle measures.

The expression 1/3 + (3/4 + 2/3) is equivalent to 7/4.

The expression is equivalent to 1/3 + (3/4 + 2/3). To solve this expression, we need to simplify the inner parentheses first. Adding 3/4 and 2/3, we get a common denominator of 12:

Now, we can substitute the simplified fraction back into the original expression:

Therefore, the expression 1/3 + (3/4 + 2/3) is equivalent to 7/4.

Answer:

b

Step-by-step explanation:

Answer:

D. All of the above

Step-by-step explanation:

Samples may be classified as:

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this problem:

Two random samples are selected and combined. The combination is a random sample. So A. is correct.

They are not balanced. More male professors than female are chosen. So B. is correct.

The teachers are divided into groups(male and female). And some members of each group are selected. So C. is correct.

So the correct answer is:

D. All of the above

Answer:

504 ways

Step-by-step explanation:

The first position can go in 9 ways

The second position can go to the team in 8 ways

The third position can go to the team in 7 ways

Therefore, the first,second and third position can go to the team in:

9 X 8 X 7=504 ways

or Simply, we can use Permutation.

[tex]^9P_3=504[/tex] ways

Answer:

The correct option is (c).

Step-by-step explanation:

A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false. It is symbolized by β i.e.  

β = Probability of accepting H₀ when H₀ is false.

In this case we need to test the hypothesis whether the garbage collector's belief is true or not.

The hypothesis can be defined as:

H₀: The garbage collector averages picking up four tons of garbage per day, i.e. μ = 4.

Hₐ: The garbage collector averages picking up more than four tons of garbage per day, i.e. μ > 4.

Consider that the garbage collector made a type II error while drawing the conclusions of the test.

This implies that the garbage collector failed to reject the null hypothesis incorrectly.

That is, he concluded that the he picks up on average four tons of garbage per day, when in fact he picks up more than four tons of garbage every day.

Thus, the correct option is (c).

Answer:4 tons

Step-by-step explanation:

just because ik;;;:)

Answer: p = X/(1-X)X + Y/(1-Y)Y

Step-by-step explanation:

Answer:

V = 10,240mm^3

Step-by-step explanation:

The volume of pyramid is given by the following formula:

[tex]V=\frac{1}{3}bh[/tex]  (1)

b: base of the pyramid = (32mm)^2

h: height

Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

[tex]h=\sqrt{(34)^2-(16)^2}=30mm[/tex]

by replacing in (1) you obtain:

[tex]V=\frac{1}{3}(32mm)^2(30mm)=10,240\ mm^3[/tex]

hence, the volume is 10240mm^3

Answer:

the answer is 9.3

Step-by-step explanation:

Answer:

9.

Step-by-step explanation:

You would subtract the one to isolate the variable so 3x = 27 then divide by 3 so the answer is 9.

Answer:

The answer is A, C and D

Step-by-step explanation:

a

c

d

The correct answer is a) The sample needs to be random but we don’t know if it is.

Calculate success by multiplying the sample % by the sample size to make sure the sample size is adequate.

The situation at random we receive impartial population data from random sampling. It might be dangerous to draw conclusions about a community from data that was not randomly chosen samples since such data typically contains some type of bias.

Calculate success by multiplying the sample % by the sample size to make sure the sample size is adequate, and calculate failure by multiplying one less than the sample percentage by the sample size. The condition is satisfied if both of these items are larger than ten.

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Answer:

a. 0.1576<p<0.2310

b. The two restaurants likely have similar order rates which are inaccurate.

Step-by-step explanation:

a. We first calculate the proportion, [tex]\hat p[/tex]:

[tex]\hat p=\frac{61}{314}\\\\=0.1943[/tex]

-We use the z-value alongside the proportion to calculate the margin of error:

[tex]MOE=z\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=1.645\times \sqrt{\frac{0.1943(1-0.1943)}{314}}\\\\=0.0367[/tex]

The confidence interval at 90% is then calculated as:

[tex]CI=\hat p\pm MOE\\\\=0.1943\pm 0.0367\\\\=[0.1576,0.2310][/tex]

Hence, the confidence interval at 90% is [0.1576,0.2310]

b. From a above, the calculated confidence interval is 0.1576<p<0.2310

-We compare the calculated CI to the stated CI of 0.147<p<0.206

-The two confidence intervals overlap each other and have the same value for 0.1576<p<0.206

-Hence, we conclude that the two restaurants likely have similar order rates which are inaccurate.

Answer:

Required conclusion is that if [tex]y_1, y_2[/tex]  satisfies given differential equation and wronskean is zero then they are considered as solution of that differential equation.

Step-by-step explanation:

Given differential equation,

[tex]t^2y''+3ty'+y=0[/tex] [tex] t>0\hfill (1)[/tex]

(i) To verify [tex]y_1(t)=t[/tex] is a solution or not we have to show,

[tex]t^2y_{1}^{''}+3ty_{1}^{'}+y_1=0[/tex]

But,

[tex]t^2y_{1}^{''}+3ty_{1}^{'}+y_1=(t^2\times 0)=(3t\times 1)+t=4t\neq 0[/tex]

hence [tex]y_1[/tex] is not a solution of (1).

Now if [tex]y_2=t-1[/tex] is another solution where [tex]y_2(t)=t-1[/tex] then,

[tex]t^2y_{2}^{''}+3ty_{2}^{'}+y_2=0[/tex]

But,

[tex]t^2y_{2}^{''}+3ty_{2}^{'}+y_2=(t^2\times 0)+(3t\times 1)+t-1=4t-1\neq 0[/tex]

so [tex]y_2[/tex] is not a solution of (1).

(ii) Rather the wronskean,

[tex]W(y_1,y_2)=y_{1}y_{2}^{'}-y_{2}y_{1}^{'}=(t\times 1)-((t-1)\times 1)=t-t+1=1\neq 0[/tex]

Hence it is conclude that if [tex]y_1, y_2[/tex] satisfies (i) along with condition (ii) that is wronskean zero, only then  [tex]y_1, y_2[/tex] will consider as solution of (1).

Answer:

The number is -18

Step-by-step explanation:

Let x be the original number

2x +32 = 2/9x

Multiply each side by 9 to get rid of the fractions

9(2x +32) =9* 2/9x

18x +288 = 2x

Subtract 18x from each side

18x-18x+288 = 2x-18x

288 = -16x

Divide each side by -16

288/-16 = -16x/-16

-18 =x

Answer:

–18

Step-by-step explanation:

let the number is [tex]x[/tex], from the problem we know that

[tex]2x+32=\frac{2}{9}x

\\9x+144=x

\\x=-\frac{144}{8}=-18[/tex]

Answer:

k is also 109 degrees bcoz they are corresponding angles

Answer:

Check the explanation

Step-by-step explanation:

Hypotheses are:

[tex]H_o[/tex] : μ 1300, [tex]H_a[/tex] : μ > 1300

The distribution of test statistics will be normal with mean

mean 1300

and standard deviation

[tex]sd=\frac{\sigma}{\sqrt{n}}=\frac{68}{\sqrt{11}}[/tex]=20.50277

Now z-score for  T-1331.26 and μ 1300 is

-1300-1.52 1331.26 1300 68/V11

[tex]z=\frac{1331.26-1300}{68/\sqrt{11}}= 1.52[/tex]

So the probability distribution of the test statistic when H0 is true is

a = P(z > 1.5247) = 0.0643

Answer:

The functions of money are:

Function # 1. A Medium of Exchange: ...

Function # 2. A Measure of Value: ...

Function # 3. A Store of Value (Purchasing Power): ...

Function # 4. The Basis of Credit: ...

Function # 5. A Unit of Account: ...

Function # 6. A Standard of Postponed Payment:

Explanation:

My parents are bankers.

Answer:

Zinc Phosphate cement

Answer:

luting agent

Step-by-step explanation:

For which of the following procedures would you include a temporary

luting agent is basicslly the same thing