What is the conversion of 39 degrees c to f ?

Answer: True, False, False

Step-by-step explanation:

Answer:

8. true

9. false

10. false

In reference to the given question, the pairs of polygons that  are congruent is  pairs 1 and 3. Hence, the correct answer is D, pairs 1 and 3.

Congruent polygons are polygons that have the same size and shape.

Pair 1 has two same L-shaped shapes, which are not congruent to any other pair.

Pair 2 has two T-shaped shapes with unequal height, which are not congruent to any other pair.

Pair 3 has two same triangles, which are congruent to each other.

Pair 4 has two unequal triangles, which are not congruent to each other or to any other pair.

Therefore, the only pairs of polygons that are congruent are pair 3, which has two same triangles, and pair 1, which has two L-shaped shapes that are the same. So the correct answer is D, pairs 1 and 3.

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Answer:

w² + 5w - 7

b = 5

c = -7

Step-by-step explanation:

(10w + 3)(w - 1) - (2 - 3w)² (distribute)

10w² - 10w + 3w - 3 - (2 - 3w)² (combine like terms)

10w² - 7w - 3 - (2 - 3w)² (expand (2 - 3w)²)

10w² - 7w - 3 - ((2 - 3w)(2 - 3w)) (distribute)

10w² - 7w - 3 - (4 - 6w - 6w + 9w²) (combine like terms)

10w² - 7w - 3 - (4 - 12w + 9w²) (distribute the negative)

10w² - 7w - 3 - 4 + 12w - 9w² (combine like terms)

w² + 5w - 7

Therefore, b = 5 and c = -7.

The method of paying off the credit card that will take the longest period of time is B. Paying the minimum balance each month.

Paying the minimum balance each month will take the longest period of time to pay off the credit card. The minimum payment is typically a small percentage of the outstanding balance, which means that it will take a longer time to pay off the entire balance.

Additionally, interest charges will continue to accrue on the remaining balance, which can increase the total amount owed over time. Making fixed payments each month and snowballing payments according to the highest interest rate or the lowest balance can help to pay off the credit card more quickly.

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The proportion of sampled smokers that like risky things is 0.555.

The propotion of smokers that like risky things will be obtained by dividing the total number of smokers that like risky things by the total number of boys that were sampled.

To obtain this, we will have

Total number of smokers that like risky things= 45

Total number of smokers that don't like risky things = 36

Total number of smokers = 81

So, 45/81

= 0.555

Since we are asked to keep the result in decimal form, we will divide the figure to obtain 0.555.

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Answer:

B. Jamie is incorrect. Since spinning a number from 1-3 is certain, the probability is 1.

Step-by-step explanation:

Probability is on a scale of 0 to 1, with 0 being impossible, and 1 being certain.

As the possibility of spinning and landing on a number less than or equal to 3 is 100%, as all numbers on there are less than or equal to 3, the probability would be 1, not 3.

Answer:

here are signs for (A), (B) and (C) hope this helps :)

Step-by-step explanation:

(a) The signs of two rational numbers whose sum is positive can be either both positive or both negative. If the signs are different, the absolute value of one number is greater than the absolute value of the other.

Example:

1/2 + 3/4 = 1/4 (positive sum, both numbers are positive)

-2/3 + 4/5 = 2/15 (positive sum, both numbers are negative)

(b) The signs of two rational numbers whose product is positive can be either both positive or both negative.

Example:

1/3 * 4/5 = 4/15 (positive product, both numbers are positive)

-2/7 * -3/4 = 3/14 (positive product, both numbers are negative)

(c) The signs of two rational numbers whose quotient is positive can be either both positive or both negative.

Example:

2/3 ÷ 1/4 = 8/3 (positive quotient, both numbers are positive)

-5/6 ÷ -2/3 = 5/4 (positive quotient, both numbers are negative)

A p-value two-tailed calculator is a statistical tool used to calculate the p-value for a two-tailed test of a population mean or proportion.

A p-value two-tailed calculator is an online tool used in statistical analysis to determine the probability value of a two-tailed hypothesis test. This calculator helps researchers and analysts to determine if there is a significant difference between two population means or proportions. It calculates the p-value, which is the probability of obtaining results as extreme or more extreme than the observed results under the null hypothesis.

Users input sample data, population parameters, significance level, and type of test to obtain the calculated p-value. This tool is essential in hypothesis testing in fields such as psychology, medicine, and economics.

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Each angle in a regular polygon with 5 sides measures 108 degrees.

A polygon is a closed shape with straight sides. A regular polygon is a polygon where all sides are of equal length and all angles are of equal measure.

To find the measure of each angle in a regular pentagon, we can use the formula:

angle measure = (n-2) x 180 / n

where n is the number of sides.

Substituting n=5 into the formula gives:

angle measure = (5-2) x 180 / 5

Subtract the terms

= 3 x 180 / 5

= 540 / 5

Divide the numbers

= 108 degrees

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Answer:

x = 50°

d = 40°

Step-by-step explanation:

  Quadrilaterals are four-sided polygon and the sum of all the interior angles is 360°

      Sum of all angles of quadrilateral = 360°

                    60° + x + 3x + 2x = 360

                                  60 + 6x = 360

Subtract 60 from both sides,

                                          6x = 360 - 60

                                          6x = 300

Divide both sides by 6

                                            x = 300 ÷ 6

                                            x = 50°

b)  120° + 110° + 90° + d= 360°

                       320 + d  = 360

   Subtract 320 from both sides,

                                  d = 360 - 320

                                  d = 40°

The statement "The Central Limit Theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small. " is false.

What is meant by the central limit theorem?

According to the central limit theorem, a statistical theory, samples with large sample size and a finite variance will have a normal distribution and a mean that is about equal to the mean of the entire population. The central limit theorem proves that, in many circumstances, given identically distributed independent samples, the standardised sample mean tends towards the conventional normal distribution even though the original variables themselves are not normally distributed.

Since the given sample is small, the histogram will not have a bell shape.

This is because according to central limit theorem, the normal approximation may not be very accurate when the sample size is small, Yet, the normal approximation gets better as the sample size increases.

Therefore the statement "The Central Limit Theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small. " is false.

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Answer:

12 feet

Step-by-step explanation:

Let h be the height of the tree. We set up and solve this proportion:

[tex] \frac{h}{24} = \frac{3}{6} [/tex]

[tex]6h = 72[/tex]

[tex]h = 12[/tex]

Note that the prompt is geared at testing the ability of the to understand certain vocabulary terms. The terms are given as follows:

The completed paragraphs are given below.

The first paragraph is completed as follows:

When Dr. Carter is not fulfilling his duties as the professor of paleontology at Ganton College, he is in the jungles of South America supervising excavations of ancient creatures. During the last dig, Dr. Carter recoiled when a poisonous snake tried to bite him. Now he wears tall boots and gloves to obviate the risk of dangerous animals endemic to the region.

He will definitely elicit the need for such safety measures. Some of the incoming scientists will accuse him of self-aggrandizement despite the fact that the sociable doctor always avoids using too much panache when speaking about safety; he'll flaunt his amazing findings when he returns to the campus at the end of the summer. He can put his bombast to better use in the classroom.

The second paragraph is completed as follows:

Baker deigned to give a semi-friendly nod to his Nazi captors, and he immediately suffered the consequences. Baker then endured the loud paroxysm of his cellmates: "What was that? What, are you working for them, too?"

He understood their paranoia. Just weeks before, a(n) mendacious rebel captive had revealed the escape plan to the guard. The prisoners, including Baker, had to abandon months of secrecy and labor that went into the construction of the tunnel. They had not yet regrouped; most of the saturnine prisoners simply lay in their cells, defeated.

Baker sat against the wall and thought about his capture. He had misused the shibboleth that the Nazis used to identify foreign spies. and the lack of orthography on his forged travel documents instantly signaled that he was not the German officer he claimed to have been. They must need information, he reasoned, or they would have executed him by now.

The definition of terms are given as follows:

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The radius of the circle is solved to be

The radius of the circle is using the formula for length of arc

= theta / 360 * 2πr

For angles in radian we have that

= theta * radius

Form the problem we have that

arc length is 11π/3

theta = 11π/6 radians

hence

11π/3 = 11π/6 * radius

radius = 2

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Answer:

67°

Step-by-step explanation:

Sum of the interior angles of a triangle = 180

To find x, set the sum of the supplementary angles to the 3 shown angles (x-6, x+9, x) equal to 180:

180 = (180-x+6) + (180-x-9) + (180-x)

180 = 536 - 3x

-357 = -3x

x = 119

119 - 6 = 113    this is the angle supplementary to ∠LMN, therefore:

m∠LMN = 180 - 113 = 67°

Answer:

(p • q)(x) =  3x² + 2x + 4

Step-by-step explanation:

(p • q)(x) same as p(q(x)) is the composite function obtained by applying the expression for q(x) in place of x in p(x)

We have
p(x) = x + 4

q(x) = 3x² + 2x

To find (p • q)(x)

wherever there is an x in p(x) substitute with 3x² + 2x

(p • q)(x)   =  x + 4

                =  (3x² + 2x) + 4

                =   3x²  + 2x + 4

The table mentioned in the question is not provided. However, we can use the following formula to find the probability of two independent events occurring together:

P(A and B) = P(A) x P(B)

Here, A represents the event of the coin landing heads up, and B represents the event of the pointer landing on either 1, 2, or 4.

Assuming that the spinner has equal sections, the probability of the pointer landing on either 1, 2, or 4 is 3/8 (since there are three out of eight possible sections on the spinner).

The probability of flipping a fair coin and getting heads is 1/2.

Therefore, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is:

P(A and B) = P(A) x P(B) = (1/2) x (3/8) = 3/16

So, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/16.

The probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/16.

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

Given that, a spinner is spined and coin is flipped,

P(A and B) = P(A) x P(B)

Here, A represents the event of the coin landing heads up, and B represents the event of the pointer landing on either 1, 2, or 4.

Assuming that the spinner has equal sections, the probability of the pointer landing on either 1, 2, or 4 is 3/8 (since there are three out of eight possible sections on the spinner).

The probability of flipping a fair coin and getting heads is 1/2.

Therefore, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is:

P(A and B) = P(A) x P(B) = (1/2) x (3/8) = 3/16

So, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/16.

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Inches to decimal is the conversion used in converting inches to decimal feet. So 1 inch = 0.0833 decimal feet.

By multiplying or dividing, a conversion factor aids in changing one set of units to another. It is the formula necessary to convert a measurement from one unit system to another unit system of the same measurement.

The conversion of inches to decimals is important in the conversion of feet. To convert inches to decimal of foot, multiply the given inches value by  0.0833. That is 1 inch = 0.0833 decimal feet. For example, 6 inches is converted as 6×0.0833=0.4998 decimal feet.

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The length of the guy wire is approximately 21 feet

From the question, we are to calculate the length of the guy wire.

To calculate the length of the guy wire,

First, we will determine the height of the tower.

Let the height of the tower be h

From the given diagram, we can write that

h/(9 +4) = 5/4

h/13 = 5/4

h = (13×5)/4

h = 65/4

h = 16.25 feet

Let the length of the guy wire be l

Then,

From the Pythagorean's theorem we can write that

l² = 16.25² + (9+4)²

l² = 264.0625 + 13²

l² = 264.0625 + 169

l² = 433.0625

l = √433.0625

l = 20.81015

l ≈ 21 feet

Hence, the length is approximately 21 feet

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Answer:

24 years old

Step-by-step explanation:

Jim = 2x + 4

Mark = x

Sum of their ages = 34

2x + 4 + x = 34

2x + x = 34 - 4

3x = 30

3x / 3 = 30 / 3

x = 10

Mark = 10 years old

Jim = 2x + 4

= 2 ( 10 ) + 4

= 20 + 4

= 24

Therefore, Jim is 24 years old

Answer:

The probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).

Step-by-step explanation:

Given that Bob has a box of chocolates containing 6 chocolate covered almonds, 4 chocolate covered peanuts, and 8 plain chocolates, the total number of chocolates in the box is:

[tex]\implies \sf Total=6 + 4 + 8 = 18[/tex]

[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]

Therefore, the probability that the first chocolate Bob eats will have almonds is:

[tex]\implies \sf P(first\;almond)=\dfrac{6}{18}[/tex]

As Bob has eaten one almond chocolate there are now 5 chocolate covered almonds left and a total of 17 chocolates.  Therefore, the probability that the next chocolate Bob eats will have almonds is:

[tex]\implies \sf P(second\;almond)=\dfrac{5}{17}[/tex]

To find the total probability for two or more events, multiply the probabilities.  Therefore, the probability that the first two chocolates Bob eats will have almonds is:

[tex]\begin{aligned}\implies \sf P(first\;almond)\;and\;P(second\;almond) & =\dfrac{6}{18} \times \dfrac{5}{17}\\\\ &=\dfrac{30}{306}\\\\&=\dfrac{5}{51}\\\\&=0.0980392...\\\\&=9.80392...\%\end{aligned}[/tex]

Therefore, the probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).

The number of ways two names can be chosen from 76 in a raffle where only one entry is allowed is 3,025.

This can be calculated by using the combination formula: nCr = n!/(r!(n-r)!), where n is the total number of names (76) and r is the number of names to be chosen (2). The calculation for the same is written out below:

nCr = 76!/(2!(76-2)!)

= 76!/(2!*74!)

= 3,025.

This means that there are 3,025 possible combinations of two names that can be chosen from the 76 names if only one entry is allowed per person.

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Answer:

See below

Step-by-step explanation:

1. The sum of two numbers is 72. Lets say the two numbers are x and y:

   x + y = 72

If one number is 3 times the other,

  x = 3y

what is the largest number?

 Substitute the second into the first expression

x + y = 72

3y + y = 72

4y = 72

 y = 18

2.  From 6:30am to noon is 5 1/2 hours.  From noon to 1:30 is another 1 1/2 hours.  The sum is (5.5 + 1.5) = 7 hours

3.  I'm assuming the bottom two angles are the same (diffiuclt to read).  If so, we know that the sum of the interior angles of a triangle is 180 degrees.  

        2x + x + x = 180

        4x = 180

          x = 45 degrees

4.  (1.5 meters)*($22.50/meter) = $33.75

5.  (0.5 L)*(1000 ml/L) = 500 ml

From the given information provided, the total cost of olivia membership fee and her car wash is $82.

The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:

3 car washes x $14.00 per car wash = $42.00

So the total cost for Olivia's membership fee and three car washes would be:

$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00

Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?

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Answer:

h = 12 feet

Step-by-step explanation:

using the right triangle shown in the diagram.

the base of the triangle is half the measure of the base of the square side.

then base of triangle = [tex]\frac{1}{2}[/tex] × 32 = 16 feet and hypotenuse = 20 feet

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² + 16² = 20²

h² + 256 = 400 ( subtract 256 from both sides )

h² = 144 ( take square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12

the height h of the pyramid is 12 feet

The probability of drawing an even number and then a diamond out of the deck is 9. 8 %

The probability of drawing an even number out of a standard deck of cards is :

= Number of even numbers / Number of total numbers

= 20 / 52

= 5 / 13

The probability of drawing a diamond, assuming the even picked was not a diamond, is :

= Number of diamond cards / 51 cards

= 13 / 51

The probability of both :

= 5 / 13 x 13 / 51

= 9. 8 %

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Full question is :

What is the probability of drawing an even number then drawing a diamond out of the deck.

The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because mean 12 is the median. Hence, I went with 16 and 9.

The mean of a dataset, sometimes referred to as the arithmetic mean, is the sum of all results multiplied by the number of values . This is the most popular way to measure central tendency and is sometimes refereed to as the "mean." This is obtained by dividing the total total of values within the dataset by the sum of the values. Calculations may be performed using both raw data and information that has been compiled into frequency tables. The average of a number is referred to as average. Calculating the following is easy: After adding all the digits, divide by the number of digits. the sum split by the count.

The query is not complete. It would still be 9 and 16 if the question asked for the two numbers that may represent the lowest and highest scores.

9 numbers in total. List them in descending order. Your Median is the middle number. The gap between the greatest and the lowest number called the range. The probabilities are therefore 8-1, 9-2, 10-3, 11-4, 12-5, 13-6, 14-7, 15-8, 16-9, 17-10, 18-11, and 19-12. The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because 12 is the median. Hence, I went with 16 and 9.

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