Which of these contexts describes a situation that is an equal chance or 50-50?
A. Rolling a number between 1 and 6 (including 1 and 6) on a standard six-sided die, numbered from 1 to 6.

B. Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on yellow or blue or green.

C. Winning a raffle that sold a total of 100 tickets if you bought 50 tickets.

D. Reaching into a bag full of 5 strawberry chews and 15 cherry chews without looking and pulling out a strawberry chew. ​

Answer:

10. 23.7 m^2
11. 39.25 cm^2

12. 74.4 mm^2
13. 12.96 mm^2

Step-by-step explanation:

Answer:

10. 23.7 m^2

11. 39.25 cm^2

12. 37.2 mm^2

13. 25.92 mm^2

Step-by-step explanation:

10. 7.9 x 6 = 47.4 m.

47.4/2 = 23.7 m.

A = 23.7 m.

11. A = a+b/2 x h

8.5 + 7.2 = 15.7

15.7/2 = 7.85

7.85 x 5 = 39.25

A = 39.25 cm.

12. A = bh

18.6 x 4 = 37.2

A = 37.2 mm.

13. A = bh

3.6 x 2 = 7.2

1.8 x 2 = 3.6

7.2 x 3.6 = 21.6 + 4.32 = 25.92

A = 25.92 mm.

Answer:

V=150cm³

Step-by-step explanation:

Formula: w×h×l

V rectangular prism: 10×3×5= 150cm³

The coterminal angle is 299°, lies in the IV quadrant and the reference angle is 61°.

Coterminal angles: are angles in standard position (angles with the initial side on the

positive x-axis) that have a common terminal side. For example, the angles 30°, –330°

and 390° are all coterminal.

For angle 659°,

coterminal angle = 659 - 360

                            = 299°

For quadrant,

299/90 = 3.32

After truncating it's equal to 3.

Therefore, it lies in the IV quadrant.

A reference angle is the size of the smallest acute angle, t, formed by the terminal side of the angle t and the horizontal axis.

659 = 2*360-61

Therefore, the reference angle is 61°.

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Answer:

75 degrees Celsius

Step-by-step explanation:

-114 - -39 = -75

Answer

Option A is correct.

B' (15, 6) is the answer.

Explanation

To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).

So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain

B (5, 2) = B' (5×3, 2×3) = B' (15, 6)

Hope this Helps!!!

Answer: The actual height of the tower is 91m

\(\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m\)

The actual height of the tower is 91 m.

An indication of the relationship between the distances on a map and the corresponding actual distances.

Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.

Since, 2 cm = 13 m

1 cm = 13 /2 m

Therefore, 14 cm = 14 × 13/2 = 91 m

Hence, the actual height of the tower is 91 m.

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Answer:

Pam laid 60 tiles on Saturday and 20 on Sunday.

Step-by-step explanation:

Given that Pam laid three times as many tiles on Saturday as she laid on Sunday, if Pam laid 80 tiles over the weekend altogether, to determine how many tiles did she lay on Saturday the following calculation must be performed:

3X + X = 80

4X = 80

X = 80/4

X = 20

Therefore, Pam laid 60 tiles on Saturday and 20 on Sunday.

Answer:

The value of it is

Step-by-step explanation:

Value og x =-1

The top remaining after 18 yearly payments have been made on a$ 15,000 five- time loan is$ 11,397. The periodic interest rate is 12 nominal compounded yearly. thus, option D is the correct answer.

In order to calculate the top remaining after 18 yearly payments have been made on a$ 15,000 five- time loan with an periodic interest rate of 12 nominal compounded monthly, we can follow these way

First, we need to determine the number of payments made after 18 months of payments.

Since there are 12 months in a time and the loan is for five times, the total number of payments is 5 × 12 = 60 payments.

After 18 months, the number of payments made is 18 payments.

We can calculate the yearly interest rate by dividing the periodic interest rate by 12 12/ 12 = 1 per month.

Using the formula for the present value of a subvention, we can find the m

PV = PMT ×(( 1 −( 1 r)- n) ÷ r)

where PV is the present value of the loan, PMT is the yearly payment, r is the yearly interest rate, and n is the total number of payments. We can rearrange this formula to break for PV

PV = PMT ×(( 1 −( 1 r)- n) ÷ r)

PV = $ 15,000 − PMT ×(( 1 −( 10.01)- 18) ÷0.01)

We do not know the yearly payment, but we can use the loan information to calculate it.

Since the loan is for five times and the periodic interest rate is 12, we can use a loan calculator to find the yearly payment.

This gives us a yearly payment of$333.15.

Substituting this value into the formula, we get

PV = $ 15,000 −$333.15 ×(( 1 −( 10.01)- 18) ÷0.01)

PV = $ 11,396.70.

Thus, the top remaining after 18 yearly payments have been made on a $ 15,000 five- time loan is$ 11,397. The correct answer is optionD.

The top remaining after 18 yearly payments have been made on a          $ 15,000 five- time loan is$ 11,397. The periodic interest rate is 12 nominal compounded yearly. thus, option D is the correct answer. The result to this problem was attained using the formula for the present value of an subvention.

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Answer:

6.2

Step-by-step explanation:

Rounding to the nearest whole number, we get x = 2524.

a. Using the standard normal distribution table, we can find the corresponding z-score for the given probability:

P(X ≤ x) = P((X-μ)/σ ≤ (x-μ)/σ) = P(Z ≤ (x-μ)/σ) = 0.9382

From the standard normal distribution table, the closest probability to 0.9382 is 0.9382, which corresponds to a z-score of 1.56. Therefore:

(x - μ) / σ = 1.56

Substituting in the given values for μ and σ, we get:

(x - 2500) / 800 = 1.56

Solving for x, we get:

x = 2500 + 1.56 * 800 = 2728

Rounding to the nearest whole number, we get x = 2728.

b. Again, using the standard normal distribution table, we can find the corresponding z-score for the given probability:

P(X > x) = P((X-μ)/σ > (x-μ)/σ) = P(Z > (x-μ)/σ) = 0.025

From the standard normal distribution table, the closest probability to 0.025 is 0.0249979, which corresponds to a z-score of -1.96. Therefore:

(x - μ) / σ = -1.96

Substituting in the given values for μ and σ, we get:

(x - 2500) / 800 = -1.96

Solving for x, we get:

x = 2500 - 1.96 * 800 = 1144

Rounding to the nearest whole number, we get x = 1144.

c. We can use the same approach as in part (a), but this time we need to find the z-score for the probability between two values:

P(2500 ≤ X ≤ x) = P((X-μ)/σ ≤ (x-μ)/σ) - P((X-μ)/σ ≤ (2500-μ)/σ) = P(Z ≤ (x-μ)/σ) - P(Z ≤ -0.63) = 0.1217

From the standard normal distribution table, the closest probability to 0.1217 is 0.1217, which corresponds to a z-score of 1.17. Therefore:

(x - μ) / σ = 1.17

Substituting in the given values for μ and σ, we get:

(x - 2500) / 800 = 1.17

Solving for x, we get:

x = 2500 + 1.17 * 800 = 3056

Rounding to the nearest whole number, we get x = 3056.

d. We can use the same approach as in part (a):

P(X ≤ x) = P((X-μ)/σ ≤ (x-μ)/σ) = P(Z ≤ (x-μ)/σ) = 0.4840

From the standard normal distribution table, the closest probability to 0.4840 is 0.4838, which corresponds to a z-score of 0.03. Therefore:

(x - μ) / σ = 0.03

Substituting in the given values for μ and σ, we get:

(x - 2500) / 800 = 0.03

Solving for x, we get:

x = 2500 + 0.03 * 800 = 2524

Rounding to the nearest whole number, we get x = 2524.

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Answer:

add 20 subtract 20 multiply by 3 divide by 3 add 1

Answer:

45

Step-by-step explanation:

25 plus 7 is 32

32 minus 3 is 29

29 plus 16 is 45

hmmm well that's a  lil too hard for my smol brain to process but hmmm well when I think about it, it really gets my brain thinking and ummm well you see it's uh hmm you add the yeah to that and hmmmm well ahhh that looks to be about right uuuuuuuuuh

45....

.....or is it?

hmmmmmmmmmmmmmmm

Answer:

\(\frac{8}{5}\)

Step-by-step explanation:

Find two points on the line (-4,-4) and (1,4)  If you start at (-4,-4) and go up vertically 8 spaces and then go right horizontally 5 spaces.  You will end up at the point (1,4).  This is our slope.  The rise over the run.  \(\frac{8}{5}\)

Answer:

275 adults

130 children

Step-by-step explanation:

Answer:

275 adults, 130 children

Step-by-step explanation:

Answer:

y=x2 -10

Step-by-step explanation:

it is because x is squared

Answer:

From the given data:

\(\large\begin{array}{| c | c | c |}\cline{1-3} \sf No.\:of\:red\:dresses & \sf Tally & \sf Frequency\\\cline{1-3} 1 & \sf llll & 4 \\\cline{1-3} 2 & \sf llll & 4 \\\cline{1-3} 3 & \sf llll & 4 \\\cline{1-3} 4 & \sf ll & 2 \\\cline{1-3} 5 & \sf ll & 2 \\\cline{1-3} 6 & \sf l & 1 \\\cline{1-3} 7 & \sf l & 1 \\\cline{1-3} 8 & \sf ll & 2 \\\cline{1-3} 9 & \sf l & 1 \\ \cline{1-3}\end{array}\)

More than half of the students own the least number of red dresses, so the data is positively skewed (skewed to the right).

As the number of red dresses owned increases, the number of students owning this number of red dresses generally decreases.

The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Answer:

Step-by-step explanation:

read the question it says

a 10 mile bike rade is DIVIDED into 4 equal sections

10 DIVIDED BY 4

10÷4=104 miles

Answer:

Margie spent $6.25.

Step-by-step explanation:

1.5 * 2 + 1 * 1.60 + 1 * 1.65 = 6.25

The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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Answer:

Step-by-step explanation:

1/3 - 1/6

2/6 -1/6= 1/6

find common denominator

For  \(\dfrac{1}{3}-\dfrac{1}{6}\)  the fraction will be \(\dfrac{1}{6}\) .

Given to us,

\(\dfrac{1}{3}-\dfrac{1}{6}\)

To solve this, firstly we need to make the denominators the same, thus taking the LCM of both 3 and 6.

As we know the LCM of 3 and 6 is 6 itself.

So, multiplying and dividing by 2.

\(\dfrac{1}{3}\rightarrow \dfrac{1\times 2}{3\times 2}\rightarrow \dfrac{2}{6}\)

Now,

\(\dfrac{2}{6}-\dfrac{1}{6} = \dfrac{1}{6}\)

Hence, for  \(\dfrac{1}{3}-\dfrac{1}{6}\)  the fraction will be \(\dfrac{1}{6}\) .

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Answer:

56.3 =c

44.1 =a

Step-by-step explanation:

Using the law of sines

sin 102        sin 28

----------  = ----------

c                 27

Using cross products

27 sin 102 = c sin 28

Divide by sin 28

27 sin 102

------------   = c

sin 28

56.25470702= c

Rounding to the nearest tenth

56.3 =c

To find a

We need Angle A

A = 180 - 102 -28

A = 50

sin 50        sin 28

----------  = ----------

a                 27

Using cross products

27 sin 50 = a sin 28

27 sin 50

------------   = a

sin 28

44.0563425= a

Rounding to the nearest tenth

44.1 =a

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

An explicit formula for aₙ, the nth term of the arithmetic sequence is aₙ = 27 - 4(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 27

Second term, a₂ = 31

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 31 - 27

Common difference, d = 4.

Substituting the parameters into the mathematical expression, we have;

aₙ = 27 + (n - 1)(4)

aₙ = 27 - 4(n - 1).

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Given:

The number of times coin flipped is N = 60.

The number of heads is n(H) = 42.

The number of tails is n(T) = 18.

The objective is to find the theoretical probability of coin landing heads up.

Explanation:

The general probability of coin landing heads is,

On plugging the given values in equation (1),

To obtain the percentage of probability,

Hence, the probability of the coin landing heads up is 70%.

Answer:

about 35 years rounding its 36

Step-by-step explanation:

i converted evrything to positive and did 1371 minus 1296 to get 75 and i divided that by 2.0834

Answer:

Choice 4^th

Step-by-step explanation:

Given:

1/2+3/4+7/16 = __

To Solve:

Addition equation by finding a common multiple.

Solution:

Let the blank _ be x.

Then,

1/2+3/4+7/16 = x

Flip this equation:

Now solve for x.

Hence,

1/2+3/4+7/16 = 27/16

4^th Choice is accurate.

The 95% confidence interval would be given by (60.554;81.446)  

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population means that sits between an upper and lower interval is frequently stated as a percentage.

Here, we have

Given Data: 92 34 40  105 83 55  56 49 40  76 48 96  93 74 73  78 93 100  53 82

We can calculate the mean and the deviation from these data with the following formulas:

X = ∑ᵃ 1ⁿxₐn

s = √∑ᵃ = 1ⁿ(xₐ - X)²n -1

X = 71  represents the sample mean for the sample  

s=22.35 represent the sample standard deviation

n=20 represents the sample size  

The confidence interval for the mean is given by the following formula:

X ± tα/2 - √n...(1)

In order to calculate the critical value tα/2  we need to find first the degrees of freedom, given by:

df = n - 1 = 20 -1 = 19

Since the Confidence is 0.95 or 95%, the value of α = 0.05 and α/2 = 0.025

and we can use excel, a calculator, or a table to find the critical value. The excel command would be:

tα/2 = 2.09

Now we have everything in order to replace into formula (1):

71 - 2.09- 2.35√20 = 60.554

71 + 2.09- 2.35√20 = 81.446

Hence, the 95% confidence interval would be given by (60.554;81.446).

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