What is the measure of the unknown angle?

Image of a full circle divided into two angles. One angle is one hundred twenty degrees and the other is unknown

210°
220°
230°
240°

Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

Answer: Hi!

To find the distance of the point from each axis, all we have to do is look at the x and the y coordinates of the points. If we wanted to find the distance that point P was from the x axis, we would look at our y - coordinate:

(x, y) = (3, 4) So, point P is 4 units away from the x -axis.

Now we need to look at the x - coordinate to find the distance that point P is from the y axis:

(x, y) = (3, 4) So, point P is 3 units away from the y - axis.

Hope this helps!

Answer:

32/40, 4/5

Step-by-step explanation:

All these ratios are follow the ratio 4:5 meaning they are equivalent to "64:80".

8:12=0.666667

16"24=0.666667

120:160=0.75

Answer:

32/40 and 4/5

Step-by-step explanation:

I took the test (sadly) :}

Answer:

Cal can buy seven tickets for $57.75

Rounding to the nearest whole number, we get that the score a student would need to have a 30th percentile score on the SAT is 1345.  Correct option is B.

To find the score corresponding to the 30th percentile, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the SAT score to a standard normal score using the formula:

z = (x - μ) / σ

where x is the SAT score, μ is the mean score (1509), and σ is the standard deviation (312).

To find the score corresponding to the 30th percentile, we need to find the z-score that has an area of 0.30 to its left. Using a standard normal table or calculator, we can find that the z-score corresponding to a 30th percentile is approximately -0.52.

Now we can use the formula to find the corresponding SAT score:

-0.52 = (x - 1509) / 312

Solving for x, we get:

x = -0.52 * 312 + 1509 = 1345.36

Therefore, the answer is (b) 1345.

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Complete question is:

What score would a student need to have a 30th percentile score on the SAT? Recall that the mean score was 1509, and the standard deviation of the scores is 312.

Group of answer choices

a. 1244

b. 1345

c. 1456

d. 1673

The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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The remainder when (10273 + 55) is divided by 111 is 55.

To find the remainder when (10273 + 55) is divided by 111, we can follow these steps:

Calculate the sum of the numbers: 10273 + 55 = 10328.

Divide 10328 by 111 to find the quotient and remainder:

10328 ÷ 111 = 93 remainders 55.

Therefore, the remainder when (10273 + 55) is divided by 111 is 55.

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a) In your model of the Empire State Building, if one block represents 2 feet, the number of blocks is 725, using a scale factor of 50%.

b) If one block in your model represents 5 feet of the Empire State Building, the number of blocks of the model is 290, using a scale factor of 20%.

c) The scale factors from Parts a and b above represent reductions of the Empire State Building.

A scale factor represents the ratio of the enlarged or reduced object in the model or scale drawing.

An enlarged scale factor increases the size from the actual size of the object.

On the other hand, a reduced scale factor decreases the size of the model based on the actual size.

The estimated height of the Empire State Building = 1,450 feet

a) If one block represents 2 feet, the number of blocks of the model = 725 (1,450/2).

Scale factor = 50% (725/1,450 x 100)

b) If one block represents 5 feet, the number of blocks of the model = 290 (1,450/5).

Scale factor = 20% (290/1,450 x 100)

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The Empire Building is about 1,450 feet and you plan to visit it by designing a model.

Answer:

Well you have a 1/8 chance to land heads 4 times in a row. So baisicly you are saying that 6/8 flips are tails, thus 2/8 are heads (simplfyed will be 1/4 or 25%).

Answer:

4min

Step-by-step explanation:

half full = 4min. disregard the doubles every min.

Answer:

7 minutes

Step-by-step explanation:

The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

The equation is given as:

3 − 2|0.5x + 1.5| = 2

Subtract 3 from both sides

-2|0.5x + 1.5| = -1

Divide both sides by -2

|0.5x + 1.5| = 0.5

Expand the equation

0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5

Subtract 1.5 from both sides

0.5x = -1 or 0.5x = -2

Divide both sides by 0.5

x = -2 or x = -4

Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

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Notice:

Unfortunately I’ve never written a two-column proof before. So I can’t do that. Let me know if what I can do helps at all though.

Step-by-step explanation:

A supplementary angle is an angle made up of two angles that have measures that add up to 180°. m∠2 = 45° because 45° added to 135° equals 180°. Therefore making it a supplementary angle. Meaning that m∠2 = 45° is true. Sorry if this doesn’t help. I tried my best.

Answer: The Gross Profit for Carly's Candles is $864.

Step-by-step explanation:

Step 1: Calculate Total Revenue

 Large Candles:   24 x $30 = $720

 Small Candles:   40 x $14 = $560

Total Revenue = $720 + $560 = $1,280

Step 2: Calculate Cost of Goods Sold (COGS)

 Large Candles:   24 x $9  = $216

 Small Candles:   40 x $5  = $200

COGS = $216 + $200 = $416

Step 3: Calculate Gross Profit

 Gross Profit = Revenue - COGS

 Gross Profit = $1,280 - $416 = $864

Answer:

$4000

Step-by-step explanation:

1 ticket = $4

Then,

1000 tickets = 1000 x 4 = $4000                  

Disruptive selection is a type of natural selection that favors extreme values of a trait while reducing the fitness of individuals with intermediate values. This pattern occurs when the environment or selective pressures favor individuals at both ends of the phenotype distribution.

Disruptive selection occurs when individuals with extreme phenotypes have higher fitness compared to those with intermediate phenotypes. This can happen in various scenarios. For example, in a habitat with two distinct resource types, individuals with specialized traits for each resource type may have higher survival or reproductive success, leading to the maintenance of two distinct phenotypes.

In disruptive selection, the selection pressure against intermediate phenotypes reduces their fitness, causing a bimodal distribution where individuals at the extremes have higher relative fitness compared to those in the middle. Over time, disruptive selection can result in the divergence of the population into two or more distinct forms, potentially leading to the formation of new species if reproductive isolation occurs.

This type of selection can play a significant role in shaping the evolution and adaptation of populations by promoting and maintaining phenotypic diversity in response to selective pressures.

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Answer: A) 2 buses B) 7 vans C) 21 cars

Step-by-step explanation:

You divide 84 by the number of people the vehicle can take.

For a. 84/42=2, so you need 2 buses.

For b. 84/12=7, so you need 7 vans

For c. 84/4=21, so you need 21 cars

The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.

The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.

To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.

Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.

The coefficient of variation is then given by:

CV = (s / μ) x 100%

Substituting the values, we get:CV = (60 / 535) x 100%

= 0.1121 x 100%

= 11.21%

Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.

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The coefficient of variation for SAT scores at this school is approximately 11.21%.

The coefficient of variation for SAT scores at this school can be calculated using the following formula:

Coefficient of Variation = (Standard Deviation / Mean) x 100

Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is

60, we can plug these values into the formula:

Coefficient of Variation = (60 / 535) x 100

Now, let's perform the calculations:

Coefficient of Variation ≈ 11.21 %

So, the coefficient of variation for SAT scores at this school is approximately 11.21%.

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Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

The depth of the water in the Monterey Bay, California, can be modeled as a function of time in half-hours after midnight, denoted as y.

To find the equation that models the depth of the water in the Monterey Bay, we need more information about the function. Please provide the details or the equation that defines the relationship between the depth and time. To model the depth of the water in the Monterey Bay as a function of time, we need to gather data or information about the relationship between the two variables. Without this data, it is not possible to provide a specific equation. However, in general, the depth of the water in a bay can be influenced by several factors such as tides, weather conditions, and geography. Tides are primarily caused by the gravitational forces exerted by the moon and the sun on the Earth. The Monterey Bay is known for extreme tides due to its unique geography and the interaction of tidal currents with the underwater canyon system. The depth of the water can vary significantly throughout the day due to the tidal cycle. To accurately model the depth, it is necessary to consider the local tide tables or consult scientific studies that provide specific equations or formulas.

In conclusion, without specific information about the relationship between the depth of the water and time, it is not possible to provide an equation to model the depth of the water in the Monterey Bay accurately. To obtain accurate modeling, it is recommended to refer to local tide tables or consult scientific studies that provide specific equations or formulas based on the geographical and tidal characteristics of the bay.

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Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Certainly! To find the probability that exactly 10 out of the 50 executives say that older workers have blocked their career advancement, we can use the binomial probability formula. This is because the problem you described is a binomial experiment - there are a fixed number of trials (n=50), each trial has only two possible outcomes (either an executive says older workers have blocked their career advancement or not), the probability of success (saying older workers have blocked their career advancement) is constant (p=0.24), and the trials are independent.

The binomial probability formula is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k),

where:

- P(X = k) is the probability of having exactly k successes in n trials.

- n is the number of trials (in this case, 50).

- k is the number of successes (in this case, 10).

- p is the probability of success on a single trial (in this case, 0.24).

- (n choose k) is the number of ways to choose k successes out of n trials and is calculated as n! / (k! * (n-k)!), where "!" denotes the factorial function.

Plugging in the values:

P(X = 10) = (50 choose 10) * 0.24^10 * (1-0.24)^(50-10)

= (50! / (10! * (50-10)!)) * 0.24^10 * (1-0.24)^(50-10)

≈ 0.054.

This means there's approximately a 5.4% chance that if you randomly select 50 executives, exactly 10 of them will say that older workers have blocked their career advancement.

Answer:

(d)

Step-by-step explanation:

Given

See attachment for \(\triangle BCD\) and \(\triangle B"C"D"\)

Required

The transformations

Using B and B"" as points of reference, we have:

\(B = (1,4)\)

\(B"" = (5,-1)\)

The transformation is as follows:

First, reflect across y axis.

The rule is:

\((x,y) \to (-x,y)\)

So, we have:

\(B(1,4) \to B'(-1,4)\)

Next, translate 6 units right.

The rule is:

\((x,y) \to (x + 6,y)\)

So, we have:

\(B' (-1,4) \to B"(-1 + 6,4)\)

\(B' (-1,4) \to B"(5,4)\)

Lastly, translate 5 units down

The rule is:

\((x,y) \to (x,y-5)\)

So, we have:

\(B"(5,4) \to (5,4-5)\)

\(B"(5,4) \to (5,-1)\)

Hence; (d) is correct

Answer:

51

Step-by-step explanation:

3n means 3 × n

substitute n = 17 into the expression

3n = 3 × 17 = 51

Answer:

24 or 25

Step-by-step explanation:

Uh I'd say 2*4*3.14=8*3.14=25.12 or if I just rounded pi to 3 it'd be 24

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

\(\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5\)

Step 2

Cross multiply both sides

\(\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30\)

From the calculations above, the value of x is x = 6w + 30

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Answer:

45

Step-by-step explanation:

Plug in the values into the equation

4(12) - 3

48 - 3 = 45

Answer:

45

Step-by-step explanation:

4(12) - 3

48 - 3

45

Answer:

30 m

Step-by-step explanation:

3000cm ÷ 100 to get it in to metres which is 30m

Answer:

6 hope this was fast

Answer:

6

Step-by-step explanation:

\(\frac{3}{4}\) x 8 =

\(\frac{3}{4}\) × \(\frac{8}{1}\) = \(\frac{24}{4}\)

\(\frac{24}{4}\) = 6