Solve for x.
6(x - 1) = 9(x + 2)
x = -8
X = -3
X = 3
x = 8

Answer: A.

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.

Answer:

S) 230°

T) 45°

Step-by-step explanation:

S) m∠RST = 30°.  An inscribed angle is half the central angle, so RT = 60°.

SR = 70°, so ST = SR + RT = 60° + 70° = 130°.

SPT = 360° − ST = 360° − 130° = 230°

T) m∠DCA = 60°.  An inscribed angle is half the central angle, so AD = 120°.

DB = AD − BA = 120° − 75° = 45°

Answer:

a) Permutation, because the coach has to designate an order in which they will take penalty

b) There are 55,440 different ways for the coach to do this.

Step-by-step explanation:

It the order is not important, we have a combination.

If the order is important, we have a permutation.

In this question:

5 players from a set of 11 and designate an order.

This means that the order is important, and we have a permutation.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

(a) Is this a permutation or a combination? Why?

Permutation, because the coach has to designate an order in which they will take penalty

(b) How many different ways are there for the coach to do this?

[tex]P_{(11,5)} = \frac{11!}{(11-5)!} = 55440[/tex]

There are 55,440 different ways for the coach to do this.

Answer:

B

Step-by-step explanation:

Answer: Supplementary Angles

Step-by-step explanation:

∠5 and ∠6 are supplementary angles. If you look at their position, they are right next to each other. Both angles added together makes a straight line, which is 180°. Any 2 angles that make 180° are called supplementary angles.

Answer:

[tex] f(x) = x^2 -10x +22[/tex]

And we want to find the domain. And that represent the possible values for x. Since we have a quadratic function we have that the domain would be all the reals, and we can write:

[tex] D= [x \in R][/tex]

Where D represent the domain and R the set of the real numbers.

Step-by-step explanation:

For this case we have the following function:

[tex] f(x) = x^2 -10x +22[/tex]

And we want to find the domain. And that represent the possible values for x. Since we have a quadratic function we have that the domain would be all the reals, and we can write:

[tex] D= [x \in R][/tex]

Where D represent the domain and R the set of the real numbers.

Answer:

d

Step-by-step explanation:

i just got it right.:)

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

[tex]\$436[/tex]

A percentage is a number or ratio expressed as a fraction of [tex]\boldsymbol{100}[/tex]

Percentage of amount raised for charity [tex]=175\%[/tex]

Amount raised for charity [tex]=\$763[/tex]

Therefore,

[tex]175\%[/tex] of amount of goal [tex]=\$763[/tex]

    [tex]\frac{175}{100}\times [/tex] Amount of goal  [tex]=\$763[/tex]

Amount of goal [tex]=\frac{76300}{175} [/tex]

                          [tex]=\boldsymbol{\$436}[/tex]

For more information:

https://brainly.com/question/2724587?referrer=searchResults

Answer:

 Japanese car

Step-by-step explanation:

Given

  problem details in Attachment 1

Find

  the most economical car

Solution

The attached spreadsheet shows the costs of repairs, insurance, and gas for each of the cars, using the cost factors described in the problem statement. (Numbers are displayed rounded to dollars.)

Mileage each year is assumed to be 150,000/8 = 18,750.

The "present value" line shows the present (year 0) value of the listed costs. The present value is the sum of values divided by 1.05^(year number). It is calculated using the spreadsheet NPV function.

The green total is the sum of present values to its right and the initial cost. The end value is subtracted after it is discounted by 1.05^8.

The Japanese car has the lowest present value.

___

The third attachment is the spreadsheet in Open Office format.

Answer:

  d.  q^2/(4π)

Step-by-step explanation:

The circumference in terms of r is ...

  q = 2πr

So, the radius in terms of q is ...

  r = q/(2π)

The area in terms of radius is ...

  p = πr^2

so, in terms of q, it is ...

  p = π(q/(2π))^2 = (π/π^2)(q^2/4)

  p = q^2/(4π)

_____

Comment on answer

It is unfortunate that your answer choice doesn't have parentheses on the denominator. They are required by the Order of Operations. As written, none of the choices is correct, as the last one must be interpreted as ...

  (q^2/4)π

which is quite different from the correct answer of q^2/(4π).

Answer:

1

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

    = (-2-2)/(-2 -2)

    =-4/-4

    =1

Answer:

Your answer would be 1

Step-by-step explanation:

Slope formula = y2-y1/x2-x1

x1y1=2,2 and x2y2=-2,-2

Plug the values in:

= -2-2/-2-2 = -4/-4 = 1

Answer:

y=7/3

Step-by-step explanation:

Answer:

7/3 = y

Step-by-step explanation:

-5+8=-3y+10

3 = -3y + 10

Subtract 10  from each side

3- 10 = -3y +10-10

-7 = -3y

Divide each side by -3

-7/-3 = -3y/-3

7/3 = y

Answer:

Peter will pay:

the insurance company will pay:

The deductible refers to the amount of money an insured has to pay before the health insurance company starts to pay partially or completely for your health treatment. deductibles are commonly used for other types of insurance policies also, including auto insurance.

Answer:

$252

Step-by-step explanation:

edge 2022

Answer:

The correct answer is (b) the revenues in the second quarter of a year is approximately 5.4% lower than it would be during the fourth quarter

Explanation:

Solution:

Given that

Log₁₀  Y = 6.012 + 0.012 X - 0.129 Q₁

= -0.054 Q₂ + 0.098 Q₃

Now,

Given that X =0

We substitute for Q₁ = 1

Thus,

Y = 6.012 + 0.012 (0) - 0.129 (1)

=  -0.054 (0) + 0.098 (0)

= 6.012 - 0.129

=5.973

So

Q₂ = 1

Y = 6.102 - 0.054 (1) + 0.012 (0)

= - 0.129 (0) + 0.098 (0)

= 6.012 - 0.054

= 6.048

For Q₃=1

Y = 6.012 + 0.012 (0) - 0.129 (0)

= -0.054 (0) + 0.098 (1)

= 6.102 + 0.098

=6.2

From the given question, the option b is correct.

Note: Kindly find an attached copy of the complete question below.

Answer:

3

Step-by-step explanation:

2*1+1

2+1

3

how this helps :)

Answer:

$5.66/gal

Step-by-step explanation:

To calculate the current price of gas, multiply $4.35/gal by (1 + 0.30), or by 1.30:

1.30($4.35/gal) = $5.66/gal

Answer:

  max 48, min 17

Step-by-step explanation:

Apparently, your plot is supposed to be ...

  1 | 77889

  2 | 011234456677788999

  3 | 01123445566678899

  4 | 58

The smallest stem is 1, and its smallest leaf is 7, representing a value of 17.

The largest stem is 4, and its largest leaf is 8, representing a value of 48.

The extremes represented by this plot are: max 48, min 17.

Answer:

A

A has sufficient sunlight, it's also close to some vegetation, it's the perfect place.

Answer:

It is Point B not Point A

Step-by-step explanation:

i have done the test a little bit ago.

Answer:

they are all polyhedrons and 3 dimensional shapes but they all have different volumes and surface areas

Division is one of the four fundamental arithmetic operations. The quotient for this division is 58.5.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given the problem is been started, therefore, the division is done as 468÷8. Hence, the quotient for this division is 58.5.

Learn more about Division:

https://brainly.com/question/369266

#SPJ1

Answer:

58.5

Step-by-step explanation:

Answer:i dont know

Step-by-step explanation:

Answer:

2 4/5

Step-by-step explanation:

5 4/5 - 2 3/3=2 4/5

Answer:

47/15 or 3 2/15

Step-by-step explanation:

first put it into improper fraction

so 29/5 minus 8/3

then find the least common denominator which is 15

87/15 minus 40/15 which is 47/15

simplify it

Answer:

[tex] x+y = 30[/tex]   (1)

[tex] 1.95x+ 2.85y = 78.30[/tex]   (2)

From equation (1) we can solve for x and we got:

[tex] x = 30-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.95(30-y) +2.85 y = 78.30[/tex]

And solving for y we got:

[tex] 58.5 -1.95 y +2.85 y = 78.30[/tex]

[tex] 0.9 y = 19.8[/tex]

[tex] y = 22[/tex]

And then solving for x we got:

[tex] x = 30-22 = 8[/tex]

So then we have 8 donuts and 22 cupcakes

Step-by-step explanation:

Let x the number of donuts and y the number of cupcakes, from the info given we can set up the following equations:

[tex] x+y = 30[/tex]   (1)

[tex] 1.95x+ 2.85y = 78.30[/tex]   (2)

From equation (1) we can solve for x and we got:

[tex] x = 30-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.95(30-y) +2.85 y = 78.30[/tex]

And solving for y we got:

[tex] 58.5 -1.95 y +2.85 y = 78.30[/tex]

[tex] 0.9 y = 19.8[/tex]

[tex] y = 22[/tex]

And then solving for x we got:

[tex] x = 30-22 = 8[/tex]

So then we have 8 donuts and 22 cupcakes

Answer:

yeyeyeyeyeyeyeyeyeye

Answer:

Step-by-step explanation:

Answer:

[tex]216\sqrt{3}[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

Length of edge:

[tex]12[/tex]

Length of apothem:

[tex]\frac{\sqrt{3}}{2}*12[/tex]

[tex]6\sqrt{3}[/tex]

3 × Length of edge × Length of apothem:

[tex]3*12*6\sqrt{3}[/tex]

[tex]216\sqrt{3}[/tex]

The answer is 96√3 cm²

Answer:

0.5%

Step-by-step explanation:

The number of faces of each die what it indicates is the total number of events.

On the first die, it has 10 sides and an 8 must come out, that is, 1 event out of 10 possible, therefore the probability is:

1/10

On the second die, which has 20 sides, 19 or 20 can come out, that is 2 events out of 20 possible, so the probability is:

2/20

And on the third die, which is 12 sides, they tell us that an odd number can come out, the odd numbers would be 1, 3, 5, 7, 9, 11; that is, 6 events out of 12 possible, the probability would be:

6/12

Now the final probability would be the product of all:

(1/10) * (2/20) * (6/12) = 0.005

In other words, the probability of this happening is 0.5%

Answer:

Step-by-step explanation:

Hello!

The random sample of n= 16 participants was asked to taste test two different sodas cans and rate them on a scale from 1 to 10. The cans contained the same type of soda but differ in color.

Since each participant tasted and ranked the two types of soda cans, you have per person a pair of data (X₁;X₂):

Where

X₁: Rank given to the red soda.

X₂: Rank given to the blue soda.

As said, the data is arranged in pairs per experimental unit, so these two variables are dependent, to study them is best to determine a third variable, the difference between X₁ and X₂:

Xd: X₁ - X₂

Assuming Xd~N(μd;σd²)

The objective is to test if there is any difference between the ratings based on the can color. The statistic hypotheses are:

H₀: μd=0

H₁: μd≠0

To calculate the descriptive statistics you have to calculate first the difference of each pair of ratings (see table in attachment)

Mean:

X[bar]d= ∑Xd/n= -6/16= -0.38

Variance

[tex]S_d^2=\frac{1}{n-1} [sumX_d^2-\frac{(sumXd)^2}{n} ]= \frac{1}{15}[64-\frac{(-6)}{^16} ]= 4.12[/tex]

Standard deviation

Sd= √4.12= 2.03

Statistic [tex]t= \frac{X[bar]_d-Mu_d}{\frac{Sd}{\sqrt{n} } } ~~t_{n-1}[/tex]

Df: n-1= 16-10 15

[tex]t_{H_0}= \frac{-0.38-0}{\frac{2.03}{4} } = -0.74[/tex]

P-value:

P(t₁₅≤-0.74) + P(t₁₅≥0.74)= P(t₁₅≤-0.74) + (1 - P(t₁₅≤0.74))= 0.2354 + (1 - 0.7646)= 0.4708

The decision rule for the p-value approach is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

α: 0.05

The p-value is greater than the level of significance, the decision is to not reject the null hypothesis.

At a 5% significance level, there is no significant evidence to reject the null hypothesis. You can conclude that there is no difference between the rankings of the red and blue cans. I.e. there is no evidence to suggest that the can color changes the average ranting of the soda.

I hope this helps!

Answer:

B

Step-by-step explanation:

Option A is volume, which is the total space inside a object

Option B refers to the sum of area of planes on the exterior of an object only.

Refer to picture attached for a clearer visual.

Answer:

[tex]T_{3}, _{-2} (x,y)[/tex]

Answer:

T3, –2(x, y)

Step-by-step explanation:

I took the test lol

Answer:

Hospital A is less likely to record an average birth weight of at least 3400 g.

Step-by-step explanation:

Applying the Central Limit Theorem and the normal probability distribution.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Applying the Central Limit Theorem to find the z-score.

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

Probability of an average birth weight of at least 3400 g?

This probability is 1 subtracted by the pvalue of Z when X = 3400.

Mean is 3100, so [tex]\mu = 3100[/tex]

Suppose s is the same for both.

Hospital A:

n = 50. So

[tex]Z = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

[tex]Z = \frac{3400 - 3100}{\frac{s}{\sqrt{50}}[/tex]

[tex]Z = \frac{300\sqrt{50}}{s}[/tex]

Hospital B:

n = 10. So

[tex]Z = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]

[tex]Z = \frac{3400 - 3100}{\frac{s}{\sqrt{10}}[/tex]

[tex]Z = \frac{300\sqrt{10}}{s}[/tex]

Comparasion:

[tex]\frac{300\sqrt{50}}{s} > \frac{300\sqrt{10}}{s}[/tex]

This means that hospital A has the higher z-score.

The higher the z-score, the higher the pvalue.

So, for A, 1 subtracted by the pvalue of Z when give a lower value than the 1 subtracted by the pvalue of Z in b. This means that hospital A is less likely to record an average birth weight of at least 3400 g.

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = [tex]\frac{1}{2}(m\angle ECD)[/tex] [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = [tex]\frac{1}{2}(68)[/tex]

                               = 34°

Therefore, Option (1) 34° will be the answer.

Answer:

34 (100% Correct)

Step-by-step explanation: