a circle with a radius of 14 feet is cut into 8 equal pieces. how many square feet are 3 of the pieces? use 22/7 for tt

Answer:

3, 8, 6

Step-by-step explanation:

Please correct me if I am wrong!

The angles that have the same measure as angle 1 are ∠3, ∠6 and ∠8.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

A traversal line cuts two parallel lines.

So, ∠1 = ∠6. {From the property of opposite angles}.

And ∠1 = ∠3. {From the property of alternate interior angles}.

The property of opposite angles,

∠8 = ∠3.

So, the angle measures that are equal to ∠1 are:

∠3, ∠6 and ∠8.

Therefore, ∠3, ∠6 and ∠8 are the equal angle measures.

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Answer:

for example, 4x, 5x2, 7x4. An expression having two terms is called a binomial, like, 11x + 2xy, or, 13y + x3. An expression having three terms is called a trinomial, like, 4x + x2 + 9x3.

Step-by-step explanation:

In this problem, we are given a sample of 20 trials where the farmer tried to start her tractor on cold days, and we are assuming that the number of attempts required to start the tractor follows a geometric distribution. The probability mass function (PMF) of a geometric distribution with parameter theta is:

P(X = k) = (1-θ)^(k-1)θ

where X is the number of attempts required to start the tractor.

The likelihood function for the sample is given by taking the product of the PMFs for each trial:

L(θ) = ∏[P(Xi)] = ∏[(1-θ)^(Xi - 1)θ]

Taking the natural logarithm of both sides, we get:

ln(L(θ)) = Σ[ln(P(Xi))] = Σ[(Xi - 1)ln(1-θ) + ln(θ)]

Now, we differentiate ln(L(θ)) with respect to θ and set the result equal to zero to find the maximum likelihood estimate of theta:

d/dθ [ln(L(θ))] = Σ[(Xi - 1)/(1-θ) - 1/θ] = 0

Σ[(Xi - 1)/(1-θ)] = Σ[1/θ]

Σ[Xi - 1] = θΣ[1/(1-θ)]

Σ[Xi] - 20 = θ/(1-θ)

θ = (Σ[Xi] - 20)/(Σ[Xi] - 20 + 20)

Plugging in the values for the given data, we get:

θ = (1+3+5+1+2+3+1+5+7+2+3+9+5+3+5+2+4+2+2+6 - 20)/(1+3+5+1+2+3+1+5+7+2+3+9+5+3+5+2+4+2+2+6 - 20 + 20) = 0.375

Therefore, the maximum likelihood estimate of the parameter theta is 0.375.

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Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust          312

Thick crust          245

Stuffed crust          179

Pan style                  304

Based on this information, of the next  4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

\(\hat p = \frac{Thick\ crust}{Total}\)

\(\hat p = \frac{245}{312+245+179+304}\)

\(\hat p = \frac{245}{1040}\)

\(\hat p = 0.235577\)

For the next 4500;

\(n = 4500\)

The expected number of thick crust is (E(x)):

\(E(x) = \hat p * n\)

\(E(x) = 0.235577 * 4500\)

\(E(x) = 1060.0965\)

\(E(x) \approx 1060\)

A regular polygon with an interior angle of 162° has 20 sides.

To determine the number of sides of a regular polygon, we can use the formula for the interior angles of a regular polygon:

Interior angle = (n - 2) * 180° / n,

where n represents the number of sides.

For an interior angle of 160°:

160° = (n - 2) * 180° / n.

Let's solve this equation:

160°n = (n - 2) * 180°,

160n = 180n - 360,

20n = 360,

n = 360 / 20,

n = 18.

Therefore, a regular polygon with an interior angle of 160° has 18 sides.

For an interior angle of 162°:

162° = (n - 2) * 180° / n.

Let's solve this equation:

162°n = (n - 2) * 180°,

162n = 180n - 360,

18n = 360,

n = 360 / 18,

n = 20.

Therefore, a regular polygon with an interior angle of 162° has 20 sides.

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Answer:

8

Step-by-step explanation:

Answer:

Triangular prism;

Triangular base, 9 edges, 5 faces (2 triangular and 3 rectangular) and 6 vertices

Answer:

77 is the correct answer I think so

Answer:

a)77

Step-by-step explanation:

The two main ways in which marketers address the competition with their strategies are by satisfying a need better than the competition and by positioning the product . The correct option is B

Positioning is the process of forming a picture of the product in the target market's minds. To do this, a unique selling proposition (USP) must be developed that sets the product apart from the competition. A statement describing the advantages of the product and why it is superior to the competition is known as the USP.

Marketers use a variety of tools to position their products such as :

Therefore, the correct answer is B. positioning the product.

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Answer:

offering a lower price

Step-by-step explanation:

Answer:

y - 50

Step-by-step explanation:

Not sure if that's what you are looking for, but 50 less than a number is the number minus 50

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

A' (4, 3)

Step-by-step explanation:

you could use the coordinate rule for the rotation of 270 which is (b, -a) this doesnt mean u make the things negative or positive it means that you are switching the y coordinate to where the x coordinate is and making the x coordinate the opposite symbol of what it is, sorry if this make no sense lol

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Bisect typically means half but since we aren't given angle at the start so we can just have to solve for x.

(3x + 8) = (5x - 4)

3x = 5x - 12

-2x = -12

x = 6

Best of Luck!

Answer:

see below

Step-by-step explanation:

bisect angle

QRS = 3x + 8

SRT = 5x - 4

3x + 8 = 5x - 4

8 + 4 = 5x - 3x

12 = 2x

x = 12 / 2

x = 6

substitute x=6 back into the equation

QRS = 3x + 8

        = 3(6) + 8

        = 18 + 8

        = 26

SRT = 5x - 4

        = 5(6) - 4

        = 30 - 4

        = 26

The sequence converges to 0 as the limit.

The sequence is defined as sin\((2^n)\) / √(n), where n is a positive integer. As n increases, the term \(2^n\) grows exponentially, while the denominator √(n) grows at a slower rate. The sine function, sin\((2^n)\), oscillates between -1 and 1 as \(2^n\) increases.

However, the denominator √(n) becomes larger and larger. As a result, the ratio sin\((2^n)\) / √(n) approaches zero as n approaches infinity. This indicates that the sequence converges to 0. In other words, as more terms of the sequence are calculated, the values become increasingly closer to 0.

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the amount of $723, when earns interest at a rate of 2.9% compounded twice a year, then in 23 years it becomes $1401.95.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially—rather than linearly—over time.

Given is a boy named Elliot who deposited $723 in a savings account which earns interest at a rate of 2.9 % compounded twice a year.

The total amount of money in the account can be calculated using the formula -

A = P(1 + r/n)^nt

From the question, we can write -

P = $723

r = 2.9% = 0.29

n = 2         [n = number of times interest applied per time period]

t = 23 years

The final amount will be -

A = 723(1 + 0.29/2) ^ 2 x 23

A = 1,401.95

Therefore, the amount of $723, when earns interest at a rate of 2.9% compounded twice a year, then in 23 years it becomes $1401.95.

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Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

Volume of a Cube

Suppose we are given a cube of side L, the volume is calculated by:

\(V=L^3\)

If the volume is given, the side can be found by solving for L:

\(L=\sqrt[3]{L}\)

We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume =375 cube inches:

\(L_1=\sqrt[3]{375}=7.21\ inch\)

Block 2, volume= 648 cube inches:

\(L_2=\sqrt[3]{648}=8.65\ inch\)

Block 3, volume =1029 cube inches:

\(L_3=\sqrt[3]{1029}=10.10\ inch\)

Total height=\(7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch\)

The stack of blocks is 25.96 inches tall

Answer:

Around 2.23606798

Step-by-step explanation:

5 is not a perfect square. The only best option would be to insert it to a calculator, which would be 2.236 rounded to the nearest thousandth.

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

8) a) The new fastest time is 56.7 seconds, b) The overall percentage improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The overall percentage improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

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The histogram that has a mean smaller than the median is the histogram with a negatively skewed distribution.

In a histogram, the mean and median represent different measures of central tendency. The mean is the average value of the data, while the median is the middle value when the data is arranged in ascending or descending order. When the mean is smaller than the median, it indicates that the distribution is negatively skewed.

Negative skewness means that the tail of the histogram is elongated towards the lower values. This occurs when there are a few extremely low values that pull the mean down, resulting in a smaller mean compared to the median. The majority of the data in a negatively skewed distribution is concentrated towards the higher values.

To identify which histogram has a mean smaller than the median, examine the shape of the histograms. Look for a histogram where the tail extends towards the left side (lower values) and the peak is shifted towards the right side (higher values). This histogram represents a negatively skewed distribution and will have a mean smaller than the median.

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Answer:

The lowest rate is $5.00 for 4.

Step-by-step explanation:

To determine the lowest rate, we need to calculate the cost per item. For the first option, $6.20 for 4, the cost per item is $1.55 ($6.20 divided by 4). For the second option, $5.50 for 5, the cost per item is $1.10 ($5.50 divided by 5). For the third option, $5.00 for 4, the cost per item is $1.25 ($5.00 divided by 4). Finally, for the fourth option, $1.15 each, the cost per item is already given as $1.15.

Therefore, out of all the options given, the lowest rate is $5.00 for 4.

Answer:

−9.3¯6

Step-by-step explanation:

Convert it to a mixed number

-281/30

Divide the two numbers

−9.3¯6

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The exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.

(a) Tο find the exact prοbability that there wοuld be exactly 70 accidents at the intersectiοn in οne year, we can use the Pοissοn distributiοn fοrmula:

P(X = k) =( \(e^{(-λ)\) * \(λ^k\)) / k!

where X is the number of accidents, λ is the average rate of accidents per week (1.4), and k is the number of accidents we're interested in (70).

To find the probability of 70 accidents in one year, we need to adjust the value of λ to reflect the rate over a full year instead of just one week. Since there are 52 weeks in a year, the rate of accidents over a year would be 52 * λ = 72.8.

So, we have:

P(X = 70) = (\(e^{(-72.8)\)* \(72.8^(70)\)) / 70!

Using a calculatοr οr sοftware, we can evaluate this expressiοn and find that:

P(X = 70) ≈ 0.00382

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

(b) Tο use the nοrmal distributiοn as an apprοximatiοn, we need tο assume that the Pοissοn distributiοn can be apprοximated by a nοrmal distributiοn with the same mean and variance. Fοr a Pοissοn distributiοn, the mean and variance are bοth equal tο λ, sο we have:

mean = λ = 1.4

variance = λ = 1.4

Tο use the nοrmal apprοximatiοn, we need tο standardize the Pοissοn randοm variable X by subtracting the mean and dividing by the square rοοt οf the variance:

\(Z = (X - mean) / \sqrt{(variance)\)

Fοr X = 70, we have:

Z = (70 - 1.4) / \(\sqrt{(1.4)\) ≈ 57.09

We can then use a standard nοrmal table οr calculatοr tο find the prοbability that a standard nοrmal randοm variable is greater than οr equal tο 57.09. This prοbability is extremely small and practically 0, indicating that the nοrmal apprοximatiοn is nοt very accurate fοr this particular case.

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

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The approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) Using the Poisson distribution, the probability of exactly 70 accidents at this intersection in one year (i.e., 52 weeks) is:

P(X = 70) = (e^(-λ) * λ^x) / x!

where λ = average rate of accidents per week = 1.4

and x = number of accidents in 52 weeks = 70

Therefore, P(X = 70) = (e^(-1.4) * 1.4^70) / 70! ≈ 3.33 x 10^-23

(b) We can use the normal approximation to the Poisson distribution to approximate the probability that there would be exactly 70 accidents at this intersection in one year. The mean of the Poisson distribution is λ = 1.4 accidents per week, and the variance is also λ, so the standard deviation is √λ.

To use the normal distribution approximation, we need to standardize the Poisson distribution by subtracting the mean and dividing by the standard deviation:

z = (x - μ) / σ

where x = 70, μ = 1.452 = 72.8, σ = √(1.452) ≈ 6.37

Now we can use the standard normal distribution table to find the probability that z is less than or equal to a certain value, which corresponds to the probability that there would be exactly 70 accidents at this intersection in one year:

P(X = 70) ≈ P((X-μ)/σ ≤ (70-72.8)/6.37)

≈ P(Z ≤ -0.44)

≈ 0.3300

Therefore, the approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

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Injection-molding machine is used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. It is believed that the machine produces defective parts more than 6%. What hypotheses should they test?A hypothesis is a statement that is tested using statistical methods.

In statistical inference, null hypotheses are the initial statement that there is no relationship between two measured phenomena. The alternative hypothesis is the hypothesis that is tested against the null hypothesis. In this scenario, the most appropriate null and alternative hypotheses that can be tested are as follows:Null Hypothesis, H0: p ≤ 0.06 Alternative Hypothesis, Ha: p > 0.06Where p is the proportion of defective parts that the injection-molding machine produces.

From the statement of the problem, it is believed that the machine produces defective parts more than 6%, and hence, the null hypothesis states that the proportion of defective parts that the machine produces is less than or equal to 6%. Therefore, the alternative hypothesis states that the proportion of defective parts that the machine produces is greater than 6%.So, the most appropriate hypotheses to test are the null hypothesis H0: p ≤ 0.06 and the alternative hypothesis Ha: p > 0.06.

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From the figure, angle ACB anf angle BCD are complementary, that is,

∠ACB + ∠BCD = 90°

Replacing with data

61° + ∠BCD = 90°

∠BCD = 90° - 61°

∠BCD = 29°

From the picture, angle BCD and angle FCE are vertical angles, then they are congruent, which means that:

∠FCE = ∠BCD = 29°

Angle FCA is a right angle, that is, ∠FCA = 90°. Therefore:

∠FCE + ∠FCA = ∠ACE

29° + 90° = ∠ACE

119° = ∠ACE

Answer:

yes it has a right angle

Step-by-step explanation:

Answer: 87.6719183867

Step-by-step explanation:

Exact Form: √ 7686.3652736

Decimal Form: 87.67191838 …

Step-by-step explanation: The radical cannot be simplified, but it can be approximated.

Give me brainliest or a thank you pls :)

Answer: 2376

Step-by-step explanation:

                              7  2

        x             3  3

          -------------------------------------

                           2  1  6

        +     2  1  6  0

          --------------------------------------

        =     2  3  7  6

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9