what is the probability of hitting a target if, in the long run, 6 out of every 35 attempts actually hit the target?

The length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm

Rhombus is a special type of parallelogram in which all four sides are congruent. The opposite angles of a rhombus are also congruent, and the diagonals bisect each other at right angles.

Now, let's consider the given rhombus abcd, where ad = 8cm and m∠ade=20°. We need to determine the length of diagonals ac and bd.

First, let's use the law of cosines to find the length of side ae. We know that ad = 8cm, and m∠ade=20°, so we can use the formula:

ae² = ad² + de² - 2ad(de)cos(m∠ade)

Substituting the values, we get:

ae² = 8² + de² - 2(8)(de)cos(20°)

Next, we can use the fact that a rhombus has all sides congruent to find the length of side de. Since abcd is a rhombus, we know that ac and bd are also congruent diagonals that bisect each other at right angles. Therefore, we can draw diagonal ac and use the Pythagorean theorem to find the length of ac:

ac² = (ae/2)² + (de/2)²

Substituting ae² from the previous equation, we get:

ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²

Simplifying the equation and using the fact that ac and bd are congruent, we get:

bd² = ac² = (8² + de² - 2(8)(de)cos(20°))/2

Finally, we can use the Pythagorean theorem to find the length of diagonal bd:

bd² = ab² + ad²

Substituting ab = ac/2 and ad = 8cm, we get:

bd² = (ac/2)² + 8²

Substituting ac² from the previous equation, we get:

bd² = ((8² + de² - 2(8)(de)cos(20°))/8)² + 8²

Simplifying the equation, we get:

bd ≈ 12.22 cm

Similarly, we can solve for ac using the equation we derived earlier:

ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²

Substituting de ≈ 9.84cm (which we can solve for from the equation ae² = 8² + de² - 2ad(de)cos(m∠ade)), we get:

ac ≈ 15.58 cm

Therefore, the length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm

To know more about Diagonals here

https://brainly.com/question/22388713

#SPJ4

\(6^2+3\) × \(7-9\)

\(=36+3\) × \(7-9\)

\(=36+21-9\)

\(=57-9\)

\(=48\)

Answer:

\( {6}^{2} + 3 \times 7 - 9 = 48\)

\( = 36 + 3 \times 7 - 9\)

\( = 36 + 21 - 9\)

\( = 57 - 9\)

\( = 48\)

Answer:

\( - 6 \\ - 9 \\ 6 \\ 42 \\ - 30 \\ 4 \\ - 6 \\ - 14\)

Answer:

look below

Step-by-step explanation:

- have you already answered this

The probability of ordering a caramel macchiato or a muffin is 82%.

Let us denote the Probability of ordering a caramel Macchiato as P(C), the Probability of ordering a muffin as P(M), the probability of ordering both a caramel macchiato and a muffin as P(C ∩ M), and the probability of ordering a caramel macchiato or a muffin P(C ∪  M).

It is given that:

P(C)=72%

P(M)=32%

P(C ∩ M)=22%

We need to find P(C ∪  M).

According to the Union Law of probability, the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

In this case:

P(C ∪ M)=P(C)+P(M)-P(C ∩ M)

Upon substituting the given values;

P(C ∪ M)=72%+32%-22%=82%

Hence, the probability of ordering a caramel macchiato or a muffin =

P(C ∪  M) is 82%.

To learn more about the Union Law of probability:

brainly.com/question/32374483

Choices made by consumer leads to financial irresponsibility are as follow:

As given in the question,

Choices made by consumer leads to financial irresponsibility are as follow:

When a person is spending money just on emotional feeling and buying large gifts for children which is beyond the budget. Due to this habits a person may have to take debt.

When a person is not saving enough money for the time of emergency, it can be a medical emergency then it is financial  irresponsible behavior.

When you are not making any budget and spending money ,it might possible at the end of the month or some time you have to face financial crises.

Don't compare yourself with anyone, this might lead you to take loan or debts which lead your life in facing financial trouble.

Therefore, choices made by consumer leads to financial irresponsibility are as follow:

Learn more about choices here

brainly.com/question/23417375

#SPJ1

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

More about the experiment link is given below.

https://brainly.com/question/11256472

#SPJ12

Answer:

2: 1 X

3: 1 X

4: 3 Xs

5: 3 Xs

Step-by-step explanation:

Remember that

The length of the diagonal of the inscribed square is equal to two times the radius of the circle

In this problem

The radius is 2 units

therefore

The length of the diagonal is 4 units

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

Answer:

i believe the answer is c

Step-by-step explanation:

Answer:

c) 45/60

Step-by-step explanation:

Given problem,

→ 5/6 × 9/10

Let's solve the problem,

→ 5/6 × 9/10

→ (5 × 9)/(6 × 10)

→ 45/60

Hence, option (c) is correct.

a) The null hypothesis (H0) states that the population average amount dispensed is equal to 8 ounces. The alternative hypothesis (Ha) states that the population average amount dispensed is different from 8 ounces.

b) To test the hypothesis, we can perform a one-sample t-test. The sample mean is 7.983 ounces, which is slightly below the hypothesized value of 8 ounces. We want to determine if this difference is statistically significant.

c) By conducting the one-sample t-test, we can calculate the p-value associated with the observed sample mean of 7.983 ounces. The p-value represents the probability of obtaining a sample mean as extreme as the observed value, assuming that the null hypothesis is true.

If the calculated p-value is less than the significance level (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis, indicating evidence that the population average amount dispensed is different from 8 ounces. If the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the population average is different from 8 ounces.

The interpretation of the p-value in this case is that it represents the probability of observing a sample mean of 7.983 ounces or a more extreme value, assuming that the true population mean is 8 ounces. A small p-value indicates that the observed sample mean is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, a small p-value provides evidence against the null hypothesis and suggests that the population average amount dispensed is likely different from 8 ounces.

Learn more about null hypothesis here:

brainly.com/question/16261813

#SPJ11

Answer:

7

Step-by-step explanation:

32 muffins that carlos sells - 25 = 7 muffins

Answer:

7

Step-by-step explanation:

Fewer in this question = Subtract

32-25=7

Hence, Carlos sell 7 fewer muffins.

[RevyBreeze]

The solution to the system of equations is (3, 2). This means that the two equations intersect at the point (3, 2) on the coordinate plane. Your solution is correct.

To explain it further, the given system of equations is:

y = -2x + 8 ...(1)

y = x - 1 ...(2)

To solve the system, you substitute the expression for y from equation (2) into equation (1) to get: x - 1 = -2x + 8

Simplifying this equation gives: 3x = 9

Dividing both sides by 3 gives: x = 3

Now, you substitute this value of x back into equation (2) to get:

y = 3 - 1

Simplifying this equation gives:

y = 2

Therefore, the solution to the system of equations is (3, 2). This means that the two equations intersect at the point (3, 2) on the coordinate plane.

To know more about coordinates click here

brainly.com/question/29189189

#SPJ1

Answer:

the answer is 3/4

Step-by-step explanation: 6/8 divided by 2 is 3/4

Answer:

1 and 7

2 and 8

Step-by-step explanation:

consecutive exterior angles theorem- a theorem stating that if parallel lines are cut by a transversal line, then consecutive exterior angles are supplementary. Like 1 and 7(they are both exterior angles); these angles are both right angles, so added together would make them a pair of supplementary angles.

supplementary angles- a pair of angles that add up to 180 degrees when added together.

I hope this helps

Answer:

.40

Step-by-step explanation:

convert the fraction to a decimal by dividing the numerator by the denominator.

The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

To find the point slope of an equation for the line graphed:

First you have to find the slope which is 4. To get that you get 2 points and do rise/run. I chose the 2 points (-2,-3) and (-1,1).

Since the formula for point-slope form is:

Here \((y-y_{1}) = m(x-x_{1})\), the equation should pass through the point (-1,1)

Therefore, the point-slope form is:

y - 1 = 4 ( x + 1)

Hence the answer is, The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

To learn more about slope points click here https://brainly.com/question/24907633

#SPJ9

The value of k that makes the line passing through the points (k, 3) and (6, k) have a slope of 2 is k = 5

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

A line with a slope of 2 passes through the points (k, 3) and (6, k), hence:

2 = (k - 3) / (6 - k)

12 - 2k = k - 3

k = 5

The value of k that makes the line passing through the points (k, 3) and (6, k) have a slope of 2 is k = 5

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).

Answer:

Step-by-step explanation:

Used t find missing side angles when two sides are present. For example, if you have a short leg and a long leg, you can use the Pythagorean Theorem to find the hypotaneus and vse versa, using it to find the short or long leg if the other two are given.

Answer:

-1, 0, 1, 2

Step-by-step explanation:

-1 + 0 + 1 + 2 = 2

Answer:

Step-by-step explanation:

-1,0,1,2

give me brainliest pls

Answer:

LCM means Lowest Common Multiple

GCF means Greatest Common Factor

The unit of measurement used is A. Standard deviation is the unit of measurement used to describe how far a set of values are from the mean.

The degree of variation of data from the average, or mean, is gauged by the standard deviation. It provides us with information on the average amount by which each data point diverges from the mean.

A lesser standard deviation suggests that the data points gather closely around the mean, whereas a greater standard deviation signifies that the data points are further dispersed. To standardize a value, we subtract the mean from the value and then divide by the standard deviation.

Find out more on standard deviation at https://brainly.com/question/475676

#SPJ1

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

The value of x according to the attached image of circle is 19.46

The value of x is solved knowing that total sum of the angles made by the arcs is equal to 360 degrees

This is represented mathematically as

arc CD + arc ED + arc CE = 360

substituting the values

101 + 4x + 1 + 9x + 5 = 360

collecting like terms

4x + 9x = 360 - 101 - 1 - 5

13x = 253

isolating x by dividing through by 13

13x / 13 = 253 / 13

x = 19.4615

x = 19.46 (to the nearest hundredth)

Learn more on angles:

https://brainly.com/question/27865363

#SPJ1

Answer:

x = 19.46 (nearest hundredth)

Step-by-step explanation:

As angles around a point sum to 360°, the sum of the measures of the arcs is also 360°.  Therefore:

\(\overset\frown{CE}+\overset\frown{ED}+\overset\frown{CD}=360^{\circ}\)

\((9x+5)^{\circ}+\(4x+1)^{\circ}+101^{\circ}=360^{\circ}\)

\(9x+5+4x+1+101=360\)

\(9x+4x+101+5+1=360\)

\(13x+107=360\)

\(13x=253\)

\(x=19.4615384...\)

Therefore, the value of x is 19.46 to the nearest hundredth.

Answer:

2.3 repeating

Step-by-step explanation:

13x - 2(8 + 5x) = 12 - 11x

13x - 16 + 10x = 12 - 11x

23x - 16 = 12 - 11x

-11x                   -11x

12x - 16 = 12

      +16     +16

12x = 28

/12      /12

x = 2.3 repeating

The percentage of data within 2 standard deviations of the mean is given as follows:

100%.

Using a calculator, the measures for this problem are given as follows:

The bounds within two standard deviations of the mean are given as follows:

All the measures in this problem are within these bounds, hence the percentage is of 100%.

More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429

#SPJ1

the answer is a or b I am not sure

the probability that a student scored greater than 65 is 0.2389.

The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:

z = (x - mean) / standard deviation

Where x is the score of interest (65)

Mean is the average score of the students (70)

Standard deviation is the standard deviation of the scores (7).

Plugging in the values, we get

z = (65 - 70) / 7 = -0.714.

Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.

To know more about probablity click here:

https://brainly.com/question/30034780#

#SPJ11