Given two planes P: 2.0 - -:+1 = 0 and P: 1-3y +2:+3 = 0, (a) find the distance from the point P(1. -1,2) to the intersection of P, and Pz: (b) find the distance from the point P(1.-1.2) to P, and the point on P that realizes the distance.

When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.

The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.

In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.

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Answer:

Step-by-step explanation:

4x-2 +3x+7 = 180

7x + 5 = 180

7x = 175

x = 25

3(25) + 7 = 82

Answer:

82 (degrees)

Step-by-step explanation:

4x-2+3x+7=180=7x+5...175=7x...x=175/7... x=25

This is both angles combined which we know adds up to half of the entire quadrilateral (180 degrees). Then solve.

3(25) +7=82 which is equal to f

f=82

(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer:

differentiate

for example what is difference between this and that

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

1x + 2y = z

Step-by-step explanation:

Here x is the price of jeans and y is the price of T-shirts

z is total money spend

Answer:

270%

Step-by-step explanation:

Hey there!

Step by step explanation:

2.7 is break apart to 200% and 70%. In decimal form, the 7 is 70. 1.0 is also known as 100. This means that 200 would be 200% since 1.00 is equal to 100 and 100 is equal or known as 100%. Now we can add 200% and 70% which would be 270%.

This means that 2.7 in a percent form is 270%.

Answer: Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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3 times 3 is 9. And then we have negative 2 times the negative 2 here makes positive 4 equals

Answer:

1. No, repeating decimal

2. No, doesn't terminate or repeat

3. No, doesn't terminate or repeat

4. Yes, This is a terminating fraction

Step-by-step explanation:

Repeating decimals/numbers are those which repeat their (usually last) digits forever but can be very closely approximated as fractions (such as how 1/3 is equal to 1.333 repeating). Terminating decimals are those that, simply put, end. This is most decimals because few are irrational or repeating. And finally, if the number matches neither of these, it is most likely an irrational number, which means that it cannot be expressed as the ratio of two integers (such as the infinite π).

Given:

Number of orange balls = 3

Number of yellow balls = 3

Number of red balls = 4

To find:

The probability of:

1) 2 orange balls

2) 2 yellow balls

3) 1 red and 1 yellow ball

Solution:

We know that,

\(\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

The total number of balls is

\(3+3+4=10\)

Using the above formula, we get

\(P(Orange)=\dfrac{3}{10}\)

\(P(Yellow)=\dfrac{3}{10}\)

\(P(Red)=\dfrac{4}{10}\)

The ball drawn first is replaced before the second is drawn. So, the probabilities remains unchanged.

1) The probability of getting the 2 orange balls is

\(P(\text{Orange and orange})=\dfrac{3}{10}\times \dfrac{3}{10}\)

\(P(\text{Orange and orange})=\dfrac{9}{100}\)

\(P(\text{Orange and orange})=0.09\)

Therefore the probability of getting the 2 orange balls is 0.09.

2) The probability of getting the 2 yellow balls is

\(P(\text{yellow and yellow})=\dfrac{3}{10}\times \dfrac{3}{10}\)

\(P(\text{yellow and yellow})=\dfrac{9}{100}\)

\(P(\text{yellow and yellow})=0.09\)

Therefore the probability of getting the 2 yellow balls is 0.09.

3) The probability of getting the 1 red and 1 yellow ball is

\(P(\text{Red and yellow})=\dfrac{4}{10}\times \dfrac{3}{10}\)

\(P(\text{Red and yellow})=\dfrac{12}{100}\)

\(P(\text{Red and yellow})=0.12\)

Therefore the probability of getting the 1 red and 1 yellow ball is 0.12.

5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Step-by-step explanation:

sper ca team ajutat

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and 45° are vertically opposite angles and are congruent , so

∠ 6 = 45°

The 15 foot ramp must make an angle 19.45° with the ground to reach the same window.

Since the height of the window above ground remains constant in both cases, it follows that by means of trigonometric identity sine; we have;

10sin30° = 15sinx

sinx = 5/15 = 0.333

x = sin-¹(0.333)

x = 19.45°.

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The system of linear equations that represents the situation is: 5x - 8y = 775 and x + y = 125.

The given situation involves Monica's school band organizing a car wash to raise money for a trip to a parade in New York City. They washed a total of 125 cars and made $775 from a combination of $5.00 quick washes and $8.00 premium washes.

To represent this situation using a system of linear equations, we need to assign variables to the number of quick washes (x) and the number of premium washes (y).

First, we can express the total amount earned from the car washes. Since each quick wash earns $5.00 and each premium wash earns $8.00, the equation becomes:

5x + 8y = 775.

Next, we consider the total number of cars washed. Since the band washed a total of 125 cars, we can write the equation as:

x + y = 125.

Therefore, the system of linear equations that represents the situation is:

5x - 8y = 775

x + y = 125.

By solving this system of equations, we can find the values of x and y, which will provide the number of quick washes and premium washes respectively.

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Answer:

Rectangles! Nice.

Step-by-step explanation:

This is a very simple problem. Let's first represent the width of the rectangle as the variable x.

Then, we know that the length of the triangle is x+2. See where I'm going with this?

The formula for the perimeter of an rectangle is \(P=2*Length+2*Width\).

All we have to do next is just input our values for the length and width, and you'll be golden!

\(56=2(x+2)+2(x)\\56=4x+4\)

Next to subtract 4 from both sides and then to divide by 4!

\(52=4x\\x=13\)

There's your answer! Don't know why Brainly is bugged right now.

NOTE: If you can't read the answer above, the width is 13cm. This also means that the length is 15cm.

Hope this helps!

Stay safe!

Answer:

1/2x=40

Step-by-step explanation:

Answer: 19

Add 5 to both sides

t - 5 = 14

t - 5 + 5 =14 + 5

Simplify

T=19

Hope this helped

Answer:

x = 8

y = 36

Step-by-step explanation:

The triangle shown in the image is an isosceles triangle.

We can find the value of x using the above mentioned information:

∠B = ∠A

5x = 40 divide both sides by 5

x = 8

The sum of interior angles in a triangle is equal to 180°.

Since ∠B and ∠C are both 40°:

40 + 40 + 3y - 8 = 180 add/subtract like terms

72 + 3y = 180 subtract 73 from both sides

3y = 108 divide both sides by 3

y = 36

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

-----------------------------------------

A decaying linear function has the following format:

\(A(t) = A(0) - mt\)

In which

The equation is:

\(A(t) = 45 - 1.7t\)

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

\(11 = 45 - 1.7t\)

\(1.7t = 34\)

\(t = \frac{34}{1.7}\)

\(t = 20\)

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

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The largest interval I over which the solution is defined is:

I = (9 - ∞, 9 + ∞)

To solve the given initial-value problem, we need to rearrange the equation and separate the variables. The equation can be rearranged as follows:

y dx = (3y^2 + x) dy

Next, we need to separate the variables and integrate both sides of the equation:

∫y dx = ∫(3y^2 + x) dy

∫y dx = y^3 + xy + C

Now, we can use the initial condition x(9) = 1 to solve for C:

1 = 9^3 + 9(1) + C

C = -729

Therefore, the solution to the initial-value problem is:

y^3 + xy = 729

To find the largest interval I over which the solution is defined, we need to determine the values of x and y that make the equation true. Since the equation is a cubic equation, there are potentially three solutions for y. However, since we are looking for the largest interval, we only need to find the smallest and largest values of y that satisfy the equation. These values will be the endpoints of the interval I.

The smallest value of y occurs when x is at its largest value, which is infinity. Plugging in x = ∞ and solving for y gives us:

y^3 + ∞y = 729

y^3 = 729 - ∞y

y = 729^(1/3) - ∞^(1/3)

y = 9 - ∞

The largest value of y occurs when x is at its smallest value, which is negative infinity. Plugging in x = -∞ and solving for y gives us:

y^3 - ∞y = 729

y^3 = 729 + ∞y

y = 729^(1/3) + ∞^(1/3)

y = 9 + ∞

Therefore, the largest interval I over which the solution is defined is:

I = (9 - ∞, 9 + ∞)

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There are 720 possible horse combinations for the first 3 places in the race.

To solve this problem, let us break this down one by one.

There are 10 possible horses that could win in first place.

Therefore, this means that for each of these possibilities, there are now 9 horses that could come in second.

So there are 10 x 9 possible combinations for the first 2 places.

10 x 9 = 90.

And for each of those combinations, there are also 8 possible horses that could come in the third place. So

10 x 9 x 8 = 720

There are 720 possible horse combinations for the first 3 places in the race.

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Answer:

\(m^8-4\)

Step-by-step explanation:

\(Rule: a^b\cdot \:a^c=a^{b+c}\\=m^7m=m^{7+1}\\=m^{7+1}-4\\=m^8-4\)

Answer:

Your answer is: Self-help/Support group

Step-by-step explanation:

Answer:

2: decrease by 3

3: double total previous number

4: divide by haf of previous total

Step-by-step explanation:

2: decrease by 3

3: double total previous number

4: divide by haf of previous total

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