Solve for X exterior Angle Theorem
ayuda help​

Answer:

Option 2: 1.5 is the correct answer.

Step-by-step explanation:

Given information is:

Mean = μ = $27

SD = σ = $5.50

A z-score simply tells us how far a selected data value from the mean is.

Z-score is denoted by z and is given by the formula:

\(z = \frac{x-mean}{SD}\)

Let x = $35.25

Putting the values of mean and SD we get,

\(z = \frac{35.25-27}{5.50}\\z = \frac{8.25}{5.50}\\z =1.5\)

The value of z-score for a price of $35.25 per barrel is 1.5

Hence,

Option 2: 1.5 is the correct answer.

Answer:

82+41=awnser

Step-by-step explanation:

82+41= smart

The 'x' and 'y' variables and the 4 angles are highlighted in the boxes

The cost of each company would be the same for 6 hours of landscaping.

Finding the intersection of the two lines, which reflects the number of hours where the costs of the two companies are equal, requires setting the two equations equal to one another. This is because the y-values of the two equations—i.e., the costs—are identical at that moment.

Given that, Company A charges $50 per hour and a $150 equipment fee.

The equation is:

A = 50t + 150

For company B:

B = 25t + 300

To graph the function find different values of A and B by substituting different values of t.

The two equations would make the same cost at the intersection of the two equations on the graph.

Or, through the equation we can calculate the same cost as:

50t + 150 = 25t + 300

25t = 150

t = 6

The two lines intersect at point t = 6.

Hence, the cost of each company would be the same for 6 hours of landscaping.

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Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

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

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

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

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

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

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

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

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

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Answer:P= 16 + 2\|65 units; A= 56 units2

Step-by-step explanation:

By answering the presented question, we may conclude that P(990< X <1150) = normal distribution  P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

The normal distribution is an example of a continuous probability distribution, in which the majority of data points cluster at the middle of the range and the remaining ones drop symmetrically towards one of the extremes. The mean of the distribution is another term for the range's centre. According to the normal distribution, also known as the Gaussian distribution, which is symmetrical around the mean, data that are close to the mean are more frequent than data that are far from the mean. I'm utilising heuristics in normal distribution to obtain a student's SAT scores from a new exam prep course. The data exhibit a normal distribution with a mean (M) of 1150 and a standard deviation (SD) of 150.

Question 1:

a) P(Z<1.72) = 0.9582 (using standard normal distribution table or calculator)

b) P(Z>1.1) = 0.1357

c) P(1.1<Z<1.70) = 0.0808

Question 2:

a) P(X<1070) = P(Z<(1070-1000)/100) = P(Z<0.7) = 0.7580

b) P(990< X <1150) = P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

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Answer: i think C correct me if i am wrong

Step-by-step explanation:

Answer:

7) 3x=45( corresponding angles formed on parallel lines)

x=45/3

x=15

8)120=2x+10(corresponding angles formed on parallel lines)

or,120-10=2x

or,110/2=x

or,x=55

We have with a  study the diagram of the diagram below and the explanations that follows the correct answers are

Generally

1)

OP is a segment bisector.

NO

OP is not a segment bisector because it those not divide segment LKMN in to two equal parts.

2)

OP is a perpendicular bisector.

NO

OP is not a perpendicular bisector because a perpendicular bisector is a bisector that cuts a segment into two equal parts and create an angle to the normal

3)

OP is an angle bisector

NO.

Because OP those not divide any angles into two equal parts

4)

O is the vertex of a pair of congruent angles in the diagram.

YES

Because O lines in between two angles of the same degree()

5)

O is the vertex of a right angle.

NO

Because O those not exist at a right angle

6)

The midpoint of a segment in the diagram

The mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.

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To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Therefore, the line integral of F along the straight line path C1 is 9/2. Therefore, the line integral of F along the curved path C2 is 4/5.

a. To find the line integral of F along the straight line path C1: r(t) = ti + tj + tk from (0,0,0) to (1,1,1), we can parameterize the path and evaluate the integral:

r(t) = ti + tj + tk

dr/dt = i + j + k

The line integral is given by:

∫ F · dr = ∫ (3y)i + (2x)j + (4z)k · (dr/dt) dt

= ∫ (3t)(j) + (2t)(i) + (4t)(k) · (i + j + k) dt

= ∫ (2t + 3t + 4t) dt

= ∫ 9t dt

= (9/2)t^2

Evaluating the integral from t = 0 to t = 1:

∫ F · dr = (9/2)(1^2) - (9/2)(0^2) = 9/2

b. To find the line integral of F along the curved path C2: r(t) = ti + t^2j + t^4k from (0,0,0) to (1,1,1), we follow a similar process:

r(t) = ti + t^2j + t^4k

dr/dt = i + 2tj + 4t^3k

The line integral is given by:

∫ F · dr = ∫ (3y)i + (2x)j + (4z)k · (dr/dt) dt

= ∫ (3t^2)(j) + (2t)(i) + (4t^4)(k) · (i + 2tj + 4t^3k) dt

= ∫ (4t^4) dt

= (4/5)t^5

Evaluating the integral from t = 0 to t = 1:

∫ F · dr = (4/5)(1^5) - (4/5)(0^5) = 4/5

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There are 4 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars

The coins to select from are nickels, dimes, quarters, and half-dollars.

So, we have:

Coins (n) = 4

The number of coin to select is:

Coin (r) = 3

The coin combination is then calculated using:

Combination = ⁴C₃

Apply the combination formula

Combination = 4

Hence, there are 4 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars

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Answer:

V = π(8^2)(31) = 6,232.9 m^3

The percent it needs to.grow each year is.4 percent because the investment wants.to.increase by factor.of.5. in 20 years. 20 divided by 5 would 4 percent each year.

The total number of bit strings of length 10 over the alphabet {a,b} that have exactly four a's and start with bb or end with bb is 510.

To solve this problem, we can use the principle of multiplication and addition.

First, we need to find the number of bit strings of length 10 with exactly four a's. We can place the four a's in any of the 10 positions, so we have 10 choose 4 (or 10C4) ways to do this. For each of these arrangements, the remaining six positions must be filled with b's, so there is only one way to do this.

Therefore, there are 10C4 = 210 bit strings of length 10 with exactly four a's. Next, we need to count the number of bit strings that start with bb or end with bb.

For bit strings that start with bb, the remaining eight positions can be filled with any combination of a's and b's, so there are 2^8 = 256 such bit strings.

Similarly, for bit strings that end with bb, the first eight positions can be filled with any combination of a's and b's, so there are also 256 such bit strings.

However, we have counted the bit string bbbbbbbbb and bbbaaaaaaa twice (once for each case). Therefore, we need to subtract 2 from the total count.

Thus, the total number of bit strings of length 10 over the alphabet {a,b} that have exactly four a's and start with bb or end with bb is 256 + 256 - 2 = 510.

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Answer:

  4^5

Step-by-step explanation:

You want the product (1/4^4)×(4^9) written with a single exponent.

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

  \(\dfrac{1}{4^4}\times4^9 = \dfrac{4^9}{4^4}=4^{9-4}=\boxed{4^5}\)

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Answer: 8

Step-by-step explanation:

We know that scale factor = (image)/(preimage).

Substituting in what we have,

\(5=\frac{R'S'}{RS}\\\\5=\frac{40}{RS}\\\\RS=\boxed{8}\)

Answer:

Step-by-step explanation:

We know that r's't' was formed by a scale factor of 5.

This means rst was multiplied by 5 to create r's't'.

Dividing the sides of r's't' by 5 will give us the sides of the

pre-image.  If r's' = 40 - dividing 40 by 5 = 8.

So rs is 8.

Answer:

v=π×(12÷2)^2×h=36πh ft^3

Step-by-step explanation:

v=π(d÷2)^2×h(formula)

13.2

Step-by-step explanation:

r = 2.1

circumference of circle = 2πr

=2 × 22/7 × 2.1

= 13.2

Answer: Option B

Step-by-step explanation: The slope is positive because it is going up from left to right. Therefore, it cannot be negative.

Answer: (B) The slope of the line is \(-\frac{3}{5}\).

Step-by-step explanation:

     Since this line is going from the bottom left to the top right, the slope is positive. This means that option B is incorrect, therefore meaning statement B is our answer as it's not true.

           The slope is \(\frac{3}{5}\), not \(-\frac{3}{5}\).

a)

{8, 16, 24, 32, 40, 48, -8, -16, -24, -32, -40, -45}

b)

S = {-5, 1}

c)

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

d)

S = Ф

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

(a)

The set of integers between 1 and 50 is divisible by 8.

= {8, 16, 24, 32, 40, 48, -8, -16, -24, -32, -40, -45}

(b)

The set S = {x | x² + 4x − 5 = 0}.

Solve for x.

x² + 4x - 5 = 0

x² + (5 - 1)x - 5 = 0

x² + 5x - x  - 5 = 0

x(x + 5) - 1(x + 5) = 0

(x + 5) (x - 1) = 0

x = -5x + 5 = 0

x - 1 = 0

x = 1

So,

S = {-5, 1}

(c)

The set of outcomes is when a coin is tossed until a tail or three heads appear.

A coin is tossed 3 times.

{H, T} {H, T} {H, T}

= {HH, HT, TH, TT} {H, T}

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

(d)

The set S = {x | 2x − 4 ≥ 0 and x < 1}.

When x = 0,

2 x 0 - 4

= - 4 ≥ 0 (not true)

When x = -1,

2 x (-1) - 4

= -2 - 4

= -6 ≥ 0 (not true)

We see that there are no such x values.

So,

S = Ф (null set) = empty set.

Thus,

The solution for each part is given above.

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Answer:

456

Step-by-step explanation:

The volume of the triangular prism is equal to 456 cubic units.

A triangular prism is a polyhedron constructed of two triangular bottoms and three rectangular flanks. It is a three-dimensional body that has three flank faces.

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces.

The volume of the rectangular prism will be calculated by the formula given below:-

V = Bh

B = Area of the base.

h = height of the prism.

From the figure, we can see that the triangular base has a height of 6 and a base of 8 units.

Area of the Base = 6 x 8 = 48 square units.

The volume of the prism will be,

V = 48 x 19

V = 456 cubic units.

Therefore, the volume of the triangular prism is equal to 456 cubic units.

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Answer:

Ray A,C,E,F, are all angle bisectors

Step-by-step explanation:

Answer: 67

Step-by-step explanation:

yeah lol

Answer:

15.60 for the t-shirts

48.80 for the jumpers

So 64.40 in total

Answer:

2/5

Step-by-step explanation: