12 5 x-10 what is the value of x

We know that

l² = r² + h²

l² = (10.5)² + (36)²

l² = 110.25 + 1296

l² = 1406.5

l = √(1406.5)

l = 37.5 cm

Now,

CSA of cone = πrl

=> 22/7 × 10.5 × 37.5

=> 22 × 1.5 × 37.5

=> 1237.5 cm²

Area of 20 caps = 20 × 1237.5

=> 24750 cm²

Answer:

24740 cm²

Step-by-step explanation:

First let us find the slant height (l) of the corn

l²  =  r²  +  h²

l²  =  (10.5)² + (36)²

l²  =  110.25 +  1296

l²  =  1406.25

l  =  √1406.25

l  = 37.5 cm

Now let us use this formula to find the area of a corn

π r l

π × 10.5 × 37.5

1237.00 cm²

And now let's find the area of 20 caps or corns

1237.00 × 20

24740 cm²

Hope this helps you :-)

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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The temperature at 7pm is -4 degree Fahrenheit.

What is temperature?

Temperature is a measure of the degree of hotness or coldness of an object or substance. It is a physical quantity that expresses the amount of thermal energy present in a system, and is usually measured using a thermometer in units such as Celsius, Fahrenheit or Kelvin.

Starting with a temperature of 4 degree Fahrenheit at 3pm, the temperature falls by 2 degree Fahrenheit every hour for 4 hours. So, we can use the following formula to find the temperature at 7pm:

Temperature at 7pm = Starting temperature - (rate of decrease per hour x number of hours)

Using this formula, we get:

Temperature at 7pm = 4 - (2 x 4)

= 4 - 8

= -4

So, the temperature at 7pm is -4 degree Fahrenheit.

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The answer is D.

The formula to find area of a circle is : πr²

Here, we are given the diameter, but we need the radius. Always remember that the radius is always half the diameter.

Let's find the area.

The variable in the study is "miles walked per week", which represents the estimated distance that 150 people living in coastal regions of California walk each week.

The study aimed to understand the walking habits of people living in coastal regions of California by measuring the number of steps they take using pedometers. These steps were then converted into an estimate of distance traveled, and this estimate was used as the dependent variable in the study, referred to as "miles walked per week".

The goal of the study was to better understand the physical activity patterns of the participants and how it might relate to other factors, such as their health, lifestyle, and environment. The data collected could be analyzed to identify trends and make recommendations for promoting healthy physical activity.

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Given statement solution is :- The set of ordered pairs (-1, -3) and (5, 5) determine a line with a slope of 4/3, according to the given statement's answer.

To determine the slope of a line given two ordered pairs (x1, y1) and (x2, y2), we use the formula:

slope is equal to y2 - y1 / x2 - x1.

Let's calculate the slopes for each set of ordered pairs:

A. (5, -3) (2, 3)

slope = (3 - (-3)) / (2 - 5)

= 6 / (-3)

= -2

B. (3, 10) (-3, -2)

slope = (-2 - 10) / (-3 - 3)

= -12 / (-6)

= 2

C. (3, -5) (-3, -7)

slope = (-7 - (-5)) / (-3 - 3)

= (-2) / (-6)

= 1/3

D. (-1, -3) (5, 5)

slope = (5 - (-3)) / (5 - (-1))

= 8 / 6

= 4/3

Option D's set of ordered pairs, (-1, -3) and (5, 5), results in a line with a slope of 4/3.

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Answer:

10 - 3x

Step-by-step explanation:

Decreased = Subtraction

                               -

10 DECREASED by 3x, is

10 SUBTRACTED by 3x, is

10 - 3x

The correct expression for 10 decreased by 3x is 10 - 3x

The term decrease in the question means to subtract. The sign used to represent subtraction is -. Subtraction is one of the four basic mathematical operations. The other basic mathematical operations are addition, multiplication and division.

To subtract means to remove a value from another value. For example, 10 decreased by 4, means ten subtracted from four or ten less less four. This can be presented with this expression: 10 - 4. 10 decreased by 3x can also be written as 10 - 3x.

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Answer:

\(1) \frac{ {a}^{8} }{ {a}^{6} } \\ = {a}^{8} \times {a}^{ - 6} = {a}^{2} \\ 2) {m}^{2} {m}^{ - 4} = {m}^{ - 2} \\ thank \: you\)

Answer:

8. a^2

9. 1/m^2

Step-by-step explanation

8. Subtract the powers

9. Subtract the powers (2-4) and get m^-2, which is 1/m^2

The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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Answer:

2s+3b=154

s=2b

solving: s= 44, b= 22

Step-by-step explanation:

s=number of sundaes sold

b=number of banana splits sold

2s+3b=154

s=2b

to solve:

substitute s=2b into the first equation

2(2b)+3b=154

4b+3b=154

7b=154

divide both sides by 7

7b/7=154/7

b=22

s=44

Answer:

2.75

Step-by-step explanation:

0.3,1.5,1.5,1.5,2.6,2.9,3.8,3.8,4.2,9.1

(smaller to greater)

middle of this is 2.6 and 2.9

so, 2.6+2.9=5.5

now we divide it by 2

so, 5.5/2=2.75

Answer: About 7%

Step-by-step explanation:

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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The type II error occurs in the example.

According to the given conditions, the null thesis( H0) is that the food is safe, while the alternative thesis( Ha) is that the food isn't safe. The food inspectors are trying to test this thesis by examining samples of the food product and looking for any signs that it may be unsafe.

A type II error occurs when the examination process fails to descry an unsafe condition in the food product, indeed though it actually exists. In other words, the sample data suggests that the food is safe, but it's not. This means that the null thesis( H0) is accepted when it should have been rejected in favor of the alternative thesis( Ha).

In practical terms, a type II error in this environment could be dangerous, as it could affect unsafe food being distributed to consumers, potentially leading to illness or indeed death. thus, it's important for food inspectors to minimize the threat of type II crimes by using applicable slice styles and testing procedures to ensure the safety of the food products they check.

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Answer:

18 machines

Step-by-step explanation:

9 machines give 24 mins... You need to reduce the time by half by adding using double the machines..

So 9×2=18

Answer:

2.4 × 10^-3 =  0.0024

Step-by-step explanation:

= 2.4 × 10^-3

(scientific notation)

= 2.4e-3

(scientific e notation)

= 2.4 × 10^-3

(engineering notation)

(thousandth; prefix milli- (m))

= 0.0024

(real number)

Convert Scientific Notation to a Real Number

Multiply the decimal number by 10 raised to the power indicated.

Given:

1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.

Alonzo wants to make 3 12 batches.

Lets's find the number of chocolate chips he will need.

Number of batches he wants to make is = 3 x 12 = 36 batches

SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:

a) (a) The statement P(H∣G)=0.4 must be false because G and H are mutually exclusive events. b)  P(H OR G) is equal to 0.8. c)G and H are dependent events.

(a) The statement P(H∣G)=0.4 must be false because G and H are mutually exclusive events. Mutually exclusive events cannot occur together, meaning that if event G happens, event H cannot happen, and vice versa. Therefore, the conditional probability P(H∣G) (the probability of event H given that event G has occurred) is always 0 because the occurrence of one event excludes the possibility of the other.

(b) To find P(H OR G), we can use the formula for the union of two mutually exclusive events: P(H OR G) = P(H) + P(G). Given that P(H) = 0.3 and P(G) = 0.5, we can substitute these values into the formula:

P(H OR G) = 0.3 + 0.5

P(H OR G) = 0.8

Therefore, P(H OR G) is equal to 0.8.

(c) G and H are dependent events. The fact that they are mutually exclusive does not imply independence. Independence between two events means that the occurrence of one event does not affect the probability of the other event. In this case, since G and H are mutually exclusive, if one event occurs, the probability of the other event occurring becomes 0. This dependence indicates that the occurrence of G affects the probability of H and vice versa, making them dependent events.

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Given:

Perimeter of rectangle is 78 feet

Let the width of the rectangle be w

Then the length of the rectangle be 2w

Now, the perimeter is given by the formula:

Substitute l= 2w and b=w

Given perimeter = 78 feet so,

Hence, the width of rectangle is 13 feet

The length of rectangle is 2w= 2(13)=26 feet.

The probability that the two students are of the Opposite gender is 0.508

It is given that there are a total number of 32 students of which 18 are girls and 14 are boys. Let us assume that the Probability of getting a girl is indicated by P(G) and the probability of getting a boy is indicated by P(B).

Probability of getting a Girl and a boy = P(GB)

Probability of getting a boy and a girl = P(BG)

Sampling will be done without replacement

Now, the probability of getting two students of the opposite gender can be determined by:

=> P(GB) + P(BG)

First, we will find P(GB)

=> P(GB) = P(G) + P(B)

=> P(GB) = (18/32) + (14/31)

=> P(GB) = 0.2540

Similarly, for P(BG)

=> P(BG) = P(B) + P(G)

=> P(BG) = (18/32) + (14/31)

=> P(BG) = 0.2540

we will find out the probability of selecting two students by

=> P(GB) + P(BG)

=> 0.2540 + 0.2540

=> 0.508

Hence, the probability of selecting two students at random of the opposite gender will be 0.508

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Complete Question:

In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the opposite gender?

Based on the given information, we know that one bicycle trail in a new housing development is 3 miles long and the other trail is the same length as the first trail.

Therefore, the length of the second trail is also 3 miles.

Hence, the answer is: 3 miles

It seems like there's a missing piece of information in your question about the length of the second trail.

However, I will try my best to help you with the given information.
Two bicycle trails are developed in the housing development.

The first trail is 3 miles long, and we need to find the length of the second trail.

Unfortunately, there is no information provided about the second trail's length.

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The longer trail is outlook trail.

Mixed fractions are type of fractions which consist of a whole number part and a fractional part.

Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.

The lengths of these trails are given in the mixed number form.

First, converting it into improper fraction,

Length of lake trail = 4 3/5 mile = (4 × 5 + 3) / 5 = 23/5 miles

Length of outlook trail = 5 5/6 mile = (5 × 6 + 5) / 6 = 35/6 miles

Length of pinewood trail = 1 3/10 mile = (1 × 10 + 3) / 10 = 13/10 miles

35/6 > 13/10

Outlook trail is longer.

Hence the outlook trail is the longer trail.

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Consider the 50 odd numbers 1,3, 5, ..., 99.

For each one, form a box containing the number and all powers of 2 times

the number.

So the first box contains {1,2,4,8, 16,..}

the next box contains {3,6,12,24,48, ...}

Then among the 51 numbers chosen, the pigeonhole principle tells us that there are two that are contained in the same box. They must be of the form \(2^{m} k\) and \(2^{n} k\) with the same odd number k. So one will divide the other.

According to the pigeonhole principle, if n items are placed in m containers, with n > m, at least one container must contain more than one item.

For example, if you have three gloves (and none of them are ambidextrous/reversible), you must have at least two right-handed gloves or at least two left-handed gloves, because there are three objects but only two categories of handedness to put them into.

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Answer:

Store 1 Has a better deal as your paying 1.50 less which is 50 percent off

Step-by-step explanation:

Lets say a DVD costs 1.50

so if you bought 2 for the price of one it would be 1.50

3 for the price of 2 would be 3 dollars.

If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars

3 CDS for the price of 3 would be 4.50

The Amount of money depends on the cost of 1 CD.

Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.

sorry if this was confusing^^

Answer:

B. The 6 should be 30 in step two.

Step-by-step explanation:

Answer:

B: The 6 should be 30 in step 2 of the problem

Step-by-step explanation:

Step 1:

- 18 - 3x = 12  Equation

Step 2:

- 3x = 30    Add 18 on both sides

Step 3:

0 = 30 + 3x  Add 3x to both sides

Step 4:

- 30 = 3x    Subtract 30 on both sides

Step 5:

- 30 ÷ 3    Divide

Step 6:

x = - 10

Answer:

B: The 6 should be 30 in step 2 of the problem

Hope This Helps :)

The most appropriate choice for permutation and combination will be given by

Number of sequences obtained by drawing three balls = 8000

Number of sequences obtained by drawing four balls = 16000

What is permutation and combination?

When there is a case of ordering, the number of arrangements that can be made in a set is called permutation

When there is no case of ordering, the number of arrangements that can be made in a set is called combination.

Here,

For three balls

Total number of balls = 20

Number of balls drawn = 3

This problem is same as the problem for drawing of r balls from n balls with replacement

So number of choices for first place = 20

Number of choices for second place = 20

Number of choices for third place = 20

Total number of sequences obtained = \(20 \times 20 \times 20\)

                                                              = 8000

For four balls

So number of choices for first place = 20

Number of choices for second place = 20

Number of choices for third place = 20

Number of choices for fourth place = 20

Total number of sequences obtained = \(20 \times 20 \times 20 \times 20\)

                                                              = 16000

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Locating the smallest pie slice at 12 o'clock decreases the effectiveness of pie charts because it distorts the visual perception of relative proportions and makes accurate comparisons between slices more challenging.

Pie charts are graphical representations used to display data as a circular "pie" divided into slices, with each slice representing a category or proportion of a whole. The effectiveness of a pie chart lies in its ability to accurately convey the relative sizes of the different categories.

By locating the smallest pie slice at 12 o'clock, we introduce a visual distortion that can mislead viewers. When the smallest slice is at the top, it appears larger than it actually is due to the psychological effect of gravity and our tendency to perceive objects at the top as larger. This can lead to incorrect interpretations of the data and misrepresentation of the proportions.

To ensure the effectiveness of pie charts, it is generally recommended to order the slices based on their size, with the largest slice starting at 12 o'clock and proceeding clockwise in decreasing order. This allows viewers to easily compare the sizes of the slices and accurately understand the proportions they represent.

Therefore, locating the smallest pie slice at 12 o'clock decreases the effectiveness of pie charts by distorting the perception of relative proportions and making accurate comparisons more challenging.

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Yes, the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

The p-value is the probability of obtaining a statistic that is more or more extreme than that observed in experiment.

The p-value is calculated assuming the null hypothesis is true. Therefore, the lower the p-value, the stronger the evidence that the null hypothesis is false. That is, the lower the p-value, the stronger the evidence in favor of the alternative hypothesis.

The P-value is the observed test statistic (i.e., the data summary) that is as extreme as or more extreme than the currently observed test statistic under a statistical model that specifically assumes that the hypothesis is being tested. is the probability that It's true.

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Complete question

is the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

Answer & Step-by-step explanation:

We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.