14) -3x+3y=3
-5x + y = 13

Perimeter would be approximately 23.57 ft

Consider triangle ABC is an isosceles triangle,

In which AB = AC,

And, m∠A = 150°,

∵ AB = AC ⇒ m∠B = m∠C,

Now sum of all interior angles of a triangle is 180°,

i.e. m∠A + m∠B + m∠C = 180°,

150°+ m∠B + m∠B= 180°,

2m∠B + 150° = 180°

2m∠B = 30°

⇒ m∠B = 15°

Let D ∈ BC such that AD ⊥ BC,

∵ Altitude of an isosceles triangle is its median,

i.e, BD = DC or BD = (1/2) BC

In triangle ADB,

⇒ Tan 15 = AD/BD

⇒ Tan 15 = 2AD/BC

⇒ AD = (BC tan15)/2     ......(i)

Now, area of triangle ABC = (1/2)xBCxAD

If area = 9 square ft,

From equation (1),

(1/2)x(BC tan15)/2 x  BD =  9

⇒ BC² = 36/tan15 = 134.35

⇒ BC = 11.59 ft

From equation (1),

AD = 1.55

Using Pythagoras theorem,

⇒ AB = √(AD² + BD²)

⇒ AB = 5.99 ft

Hence, perimeter of the triangle ABC= AB + BC + CA

= 5.99 + 11.59 + 5.99

= 23.57 ft

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(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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Answer:

The answer is b, line segment AC.

Step-by-step explanation:

This is because it goes all the way through the circle and the radius would be line segment A F or CF

Hope this helps! :)

Answer:

Line Segment AC

Step-by-step explanation:

the diameter is the length across a circle, and you have two line segments matching this criteria, AC and EB, but EB is not listed so it's AC. :)

The value of the inequality: 6 > - 3x is 1. x < -2

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

From the information, 6 > - 3x. This will be:

6 > - 3x.

Divide

x < 6 / -3

x < -2

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Complete question

Solve the inequality: 6 > - 3x.

1. x < -2

2. x > -2

3. x < 12

4. x > 12

Answer:

3(x+4)

Step-by-step explanation:

The " sum of a number and 4" means ADD them:

→ x+4

Triple that means multiply by 3

→ 3(x+4)

NOte that this is different from.

"The sum of triple a number and 4" which would be

3x+4

Answer:

x= 1/2

Step-by-step explanation:

2(x+1.25)=3.5

(2)(x)+(2)(1.25)=3.5(Distribute)

2x+2.5=3.5                 2x+2.5−2.5=3.5−2.5

2x=1          2x /2  =  1 /2

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

The formula for area of a parallelogram is A=bh

x=10.3

Step-by-step explanation:

We don't have the base but we have the height.

the base is x and the height is 5

if the area is 51.5

we should divide the height to find the base.

51.5÷5=10.3

so the base is 10.3

Check if answer is correct:

b=10.3

h=5

a= 51.5

10.3(5)=51.5

a= 51.5cm²

I hope this helps as long as you know the formula it's easy :D

Answer: 56 yd

Step-by-step explanation: if you continue the 8 yd line across, it would show that the missing side is 4yd less than the 13 yd side, meaning the missing side is 9 yd long. So after adding 7 + 13+ 15+ 4 + 8 + 9= 56 yd

The probability that the baseball player has exactly 1 hit in his next 7 at-bats is 0.2908, rounded to 4 decimal places.

It is a statistic that measures the performance of baseball players. It is the ratio of the number of hits to the number of at-bats.

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1.

Static means the precise value of something, without approximation or estimation.

It is a process of approximating a number to a specific number of decimal places.

A baseball player has a batting average of 0.365. The probability that he has exactly 1 hit in his next 7 at-bats is to be found.

Step 1: Calculate the probability of getting a hit in one at-bat. The probability of getting a hit in one at-bat is equal to the batting average of the player.

P(hit) = 0.365

Step 2: Calculate the probability of not getting a hit in one at-bat. The probability of not getting a hit in one at-bat is equal to the difference between 1 and the batting average.

P(not hit) = 1 - 0.365 = 0.635

Step 3: Calculate the probability of getting exactly 1 hit in 7 at-bats. The probability of getting exactly 1 hit in 7 at-bats can be calculated using the binomial probability formula:

P(1 hit in 7 at-bats) = 0.2908 (rounded to 4 decimal places)

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Answer:

5x cm

Step-by-step explanation:

Total length of AE = 2x + 3x

= 5x cm

Answer:

x=-r-p/q

Step-by-step explanation:

To construct an open-topped box with a volume of 1,568 in3, the original piece of cardboard must have dimensions of 20 in. by 20 in

The open-topped box can be constructed from a square piece of cardboard by removing a square of size 2 inches from each corner and turning up the edges. To determine the size of the original piece of cardboard, we can use the formula for the volume of a rectangular prism.

The volume of a rectangular prism is equal to the length times the width times the height. Therefore, we can solve for the original piece of cardboard as follows:

1,568 in3 = \((L - 4)(W - 4)h\)

We can rearrange this formula to solve for the length, width, and height:

\(L = (1,568 + 16) / h\)
\(W = (1,568 + 16) / h\)
\(h = 1,568 / (L - 4)(W - 4)\)

For the open-topped box to hold 1,568 in3, the length, width, and height must all equal 16 in. Thus, the original piece of cardboard must have dimensions of 20 in. by 20 in.

To construct the box, we must remove a square of size 2 inches from each corner of the cardboard. This leaves a square with dimensions of 16 in. by 16 in. To turn up the edges, we must add an additional 2 in. in height to each side, creating a rectangular prism with dimensions of 16 in. by 16 in. by 4 in.

In summary, to construct an open-topped box with a volume of 1,568 in3, the original piece of cardboard must have dimensions of 20 in. by 20 in. To construct the box, we must remove a square of size 2 inches from each corner of the cardboard and turn up the edges to create a rectangular prism with dimensions of 16 in. by 16 in. by 4 in.

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Answer:

3

Step-by-step explanation:

1. Subtract 2 y-coordinates.

11 - 8 = 3

2. Subtract the corresponding x-coordinates in the same order.

-1 - (-2) = -1 + 2 = 1

3. slope = (difference in y)/(difference in x) = 3/1 = 3

Answer: h= V/2πr^2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Answer:

x = 121°

Step-by-step explanation:

The lower left interior angle of the triangle is adjacent to 115° and are supplementary, thus

interior angle = 180° - 115° = 65°

The angle round a point is 360°

The vertex interior angle = 360° - 304° = 56°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Answer:

2

Step-by-step explanation:

4/2=2

2+2=4

4-2=2

Answer:

2

Step-by-step explanation:

(No step-by-step explanation)

a. The probability P(X < 10) is U(0, 50) is 0.20.

b. The probability P(X > 595) is U(0, 1,000) is 0.405.

c. The probability P(21 < X < 49) is U(19, 68) is 0.4762.

a. For a uniform continuous distribution U(0, 50), the probability of an event X < 10 can be calculated by dividing the length of the interval [0, 10] by the length of the entire interval [0, 50]. Since the lengths of both intervals are equal, the probability is 10/50 = 0.20.

b. Similarly, for a uniform continuous distribution U(0, 1,000), the probability of an event X > 595 can be calculated by dividing the length of the interval [595, 1,000] by the length of the entire interval [0, 1,000]. The length of the interval [595, 1,000] is 1,000 - 595 = 405, and the length of the entire interval is 1,000 - 0 = 1,000. Thus, the probability is 405/1,000 = 0.405.

c. For a uniform continuous distribution U(19, 68), the probability of an event 21 < X < 49 can be calculated by dividing the length of the interval [21, 49] by the length of the entire interval [19, 68]. The length of the interval [21, 49] is 49 - 21 = 28, and the length of the entire interval is 68 - 19 = 49. Therefore, the probability is 28/49 = 0.5714.

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42 two- digit numbers can be made using 1 through 7.

Two digit Number:

2-digit numbers are the numbers that have two digits and they start from the number 10 and end on the number 99. They cannot start from zero because in that case it will be considered as a single-digit number. The digit on the tens place can be any number from 1 to 9. For example, 45, 78, 12 are two-digit numbers.

Now,

According to the Question

The numbers are 1,2,3,4,5,6 and 7. Thus, we have 7 numbers. Then we want to form two-digit numbers without repetition. There are 7 number that is possible to occupy first digit,  1,2,3,4,5,6 or 7. Because it’s without repetition, so the number that have been filled the first digit cannot be the second digit. Thus, the numbers that is possible to occupy second are 5 digits. Thus, there are 7 x 6 = 42 numbers that can we form from those 7 numbers: 1,2,3,4,5,6 and 7 without repetition or by using permutation, there are two place would be filled by six number, so the permutation is ⁶P₂ = 7!/ (7–2)!

                               = 7!/5!

                               = 7 x 6 = 42.

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Answer:

3$

Step-by-step explanation:

If the chicken was 4 times the amount of potatoes you would have to divide 12 by 4 to get you answer which would be 3$

12/4 = 3

potato's = 3$

to check you answer you would do 3 times 4 and if it gives you the cost of chicken (12) then it is correct.

Answer: $3

Step-by-step explanation:

If the chicken is 4 times as much, you can divide the cost of the chicken, which is $12. So, 12 divided by 4 is 3. The potatoes cost 3 dollars.

If the interior angle of a regular polygon is 108°.The polygon has five (5) sides.

Method 1: Each exterior angle of a regular polygon is equal to 180-108°, or 72°, if each internal angle is 108°.Regardless of the number of sides, any figure's outer angles add up to 360 degrees.

The figure has 360/72 or 5 sides since each outer angle is 72 degrees. Therefore, the polygon is a standard pentagon. Answer.

Method 2: Using n isosceles triangles, a regular polygon with n sides is created. 54° is the basis angle, or 108/2. Each vertical angle is equal to 2*36°, or 72°, which is the semi-vertical angle of 90-54°. 360/72 equals 5, the number of isosceles triangles. Therefore, the polygon is a standard pentagon.

Method 3: [n-2]*180 or 108n, which is the sum of the internal angles of a regular polygon.

[n-2]*5=3n, or

5n-10 = 3n, or

5n-3n = 2n = 10, or

n = 5.

The polygon is a regular pentagon as a result.

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Answer:

The value of x is 11.5

Step-by-step explanation:

Here, we want to find the value of x

Since Q bisects PR, it means it divides PR into ii equal angles

Thus PR = PQ

28 = 2x + 5

2x = 28-5

2x = 23

x = 23/2

x = 11.5

Answer:

+3.16i, -3.16i

Step-by-step explanation:

This has complex roots.

ax² + bx + c = 0

a = 1

b = 0

c = 10

Roots:  +3.16i, -3.16i

The drive-thru is able to estimate their wait time more consistently will be A. Burger Quick, because it has a smaller IQR.

The range of values in the middle of the scores is known as the interquartile range, or IQR. The appropriate measure of variability is the interquartile range when a distribution is skewed and the median is used instead of the mean to show a central tendency.

The correct option here is Burger Quick, because it has a smaller IQR (Interquartile Range). IQR is the difference between the third quartile and the first quartile, which is represented by the box in the box plot. In this case, the IQR for Burger Quick is 24 - 9.5 = 14.5, while the IQR for Fast Chicken is 14.5 - 10 = 4.5. A smaller IQR indicates that the data is more consistent and less spread out.

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The perpendicular distance from point P to the line connecting stations Shore and Rock is approximately 668,389.33 feet.

To find the perpendicular distance from point P to the line connecting stations Shore and Rock, we can use the formula for the distance between a point and a line.

The equation of the line connecting stations Shore and Rock can be determined using the slope-intercept form of a straight line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's calculate the slope of the line:

slope = (Y2 - Y1) / (X2 - X1)

     = (392,133.86 - 394,087.52) / (652,531.72 - 654,127.26)

     = -1,953.66 / -1,595.54

     ≈ 1.224

Next, we can find the y-intercept (b) by substituting the coordinates of either station (e.g., Rock) into the slope-intercept form and solving for b:

392,133.86 = 1.224 * 652,531.72 + b

b ≈ 392,133.86 - 799,247.25

b ≈ -407,113.39

So, the equation of the line connecting Shore and Rock is:

y ≈ 1.224x - 407,113.39

Now, let's calculate the perpendicular distance from point P to the line using the formula:

distance = |Ax + By + C| / sqrt(\(A^2\) + \(B^2\))

where A, B, and C are the coefficients of the line equation in the form Ax + By + C = 0. In this case, the equation of the line can be rewritten as:

-1.224x + y + 407,113.39 = 0

Therefore, A = -1.224, B = 1, and C = 407,113.39. Plugging in the coordinates of point P (653,594.81, 393,436.47) into the formula, we get:

distance = |-1.224 * 653,594.81 + 1 * 393,436.47 + 407,113.39| / sqrt((-1.224)^2 + 1^2)

        = |-799,103.63 + 393,436.47 + 407,113.39| / sqrt(1.497)

        = |1,001,446.23| / 1.225

        ≈ 818,003.79 / 1.225

        ≈ 668,389.33

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Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

7x + -4 = 3(x - 7) + 25

Step 2: Solve for x

The probability that the next chew Myesha removes from the bag will be a flavor other than lime is 82%.

What is probability?

Probability is the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. Probabilities between 0 and 1 represent the degree of uncertainty about whether the event will occur or not.

Out of the 17 times Myesha performed the experiment, a lime chew was selected 3 times. Therefore, the probability that the next chew Myesha removes from the bag will be a lime chew is 3/17.

To find the probability that the next chew Myesha removes from the bag will be a flavor other than lime, we need to subtract the probability of getting a lime chew from 1.

P(flavor other than lime) = 1 - P(lime)

P(flavor other than lime) = 1 - 3/17

P(flavor other than lime) = 14/17

To express this probability as a percent to the nearest whole number, we multiply by 100 and round to the nearest integer:

P(flavor other than lime) = 14/17 x 100

P(flavor other than lime) = 82.35

P(flavor other than lime) ≈ 82%

Therefore, the probability that the next chew Myesha removes from the bag will be a flavor other than lime is approximately 82%.

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