The set of all possible outcomes of a random experiment is called the …… associated with the experiment.
A Sample space
B Outcomes
C Event
D Experiment

Answer:

100

Step-by-step explanation:

1+3+5+7+9+11+13+15+17+19

=1+19 +3+17 ... + 9+11

= 20+20+...20

=5*20 =100

The radius of the hemisphere is 3.15 cm.

Given that we need to find the radius of a hemisphere with a volume of 66 cm³.

So, the volume of a hemisphere = 2/3 π × radius³

So,

66 = 2/3 π × radius³

99 / 3.14 = radius³

radius³ = 31.52

radius = 3.15

Hence the radius of the hemisphere is 3.15 cm.

Learn more about hemisphere click;

https://brainly.com/question/13625065

#SPJ1

Answer: It can be written as a/b

Step-by-step explanation:

A rational number must be able to written as a/b.

Zero is a rational number because zero written in a/b form is 0/1

Answer:

The significance test result using technology gave a P-value of 0.031. Based on the conventional level of significance of 0.05, this suggests that we reject the null hypothesis and conclude that there is strong evidence to support the alternative hypothesis. In other words, the result is statistically significant, indicating that there is a significant relationship or difference between the variables being tested. Therefore, we can confidently say that the result is not due to chance and provides reliable evidence to support the alternative hypothesis.

The new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)

Given that the points M(-4,3) N(12, 0) P(6, -11) are dilated by a scale factor of 1/2.

We need to find the new coordinates of the dilation of the points.

We know that if a point (x, y) is dilated by a scale factor k, then the new points will be (kx, ky).

Therefore,

M(-4,3) = M'(-4/2, 3/2) = M'(-2, 1.5)

N(12, 0) = N(12/2, 0/2) = N'(6, 0)

P(6, -11) = P'(6/2, -11/2) = P'(3, -5.5)

Hence the new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)

Learn more about dilation, click;

https://brainly.com/question/13176891

#SPJ4

a. The average acceleration in the time interval t = 0 to t = 2.0 s is -10 m/s². b. The acceleration at t = 2.0 s is -20 m/s².

a. To find the average acceleration in the time interval t = 0 to t = 2.0 seconds, we need to first find the initial and final velocities:

Initial velocity (t = 0 s):
v0x = (40 - 5(0)²) m/s = 40 m/s

Final velocity (t = 2.0 s):
v2x = (40 - 5(2)²) m/s = (40 - 5(4)) m/s = 20 m/s

Average acceleration is defined as the change in velocity divided by the change in time:
a_avg = (v2x - v0x) / (t2 - t0) = (20 m/s - 40 m/s) / (2.0 s - 0 s) = -20 m/s² / 2.0 s = -10 m/s²

b. To determine the acceleration at t = 2.0 s, we need to find the derivative of the velocity expression with respect to time (t):

v_x(t) = 40 - 5t²

Taking the derivative with respect to time:
a_x(t) = dv_x(t)/dt = -10t

Now, we can find the acceleration at t = 2.0 s:
a_x(2.0) = -10(2.0) = -20 m/s²

learn more about acceleration here: brainly.com/question/27973611

#SPJ11

The equation represents the relationship between c, the total cost of napkins, and n is 750c = 300n.

Since, equation is an expression that shows the relationship between two or more numbers and variables.

Given that manager of a restaurant ordered 300 linen napkins from a supplier for $750.

Thus, the equation represents the relationship between c, the total cost of napkins, and n, the number of napkins purchased.

750c = 300n

Hence, the equation represents the relationship between c, the total cost of napkins, and n is 750c = 300n.

The answer is A.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

The statement that best describes the depth of the fish, given this equation, is this: C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

The first description of this statement should indicate the depth from which the fish descends. From the equation, y is equal to -7x -3. The minus in this case is indicative of descent.

7 is the rate at which the fish travels with respect to time and 3 is indicative of the distance from sea level and the starting point from which the fish moves.

Learn more about the rate of movement here:

https://brainly.com/question/3421105

#SPJ1

Answer:

Okay, here are the steps to find the total balance in Mia's account in January 2019:

Mia deposited $1,200 in January 2007. This is the initial principal balance.

The interest rate is 3% per year, compounded annually.

In January 2008, the balance will be $1,200 * 1.03 = $1,236. (Interest is 3% of $1,200)

In January 2009, the balance will be $1,236 * 1.03 = $1,273.96

In January 2010, the balance will be $1,273.96 * 1.03 = $1,316.59

In January 2011, the balance will be $1,316.59 * 1.03 = $1,362.81

In January 2012, the balance will be $1,362.81 * 1.03 = $1,411.59

In January 2013, the balance will be $1,411.59 * 1.03 = $1,463.72

In January 2014, the balance will be $1,463.72 * 1.03 = $1,518.23

In January 2015, the balance will be $1,518.23 * 1.03 = $1,574.97

In January 2016, the balance will be $1,574.97 * 1.03 = $1,634.92

In January 2017, the balance will be $1,634.92 * 1.03 = $1,697.05

In January 2018, the balance will be $1,697.05 * 1.03 = $1,761.44

In January 2019, the balance will be $1,761.44 * 1.03 = $1,828.78

Therefore, the total balance in Mia's account in January 2019 is $1,828.78

Step-by-step explanation:

The length of the garden is 3x - 4 feet.

Because the garden is square, we must take the square root of the area to determine its length.

The square garden's area is given by: 9x2 - 24x + 16

This expression can be factored as (3x - 4)(3x - 4)

We get 3x - 4 by taking the square root of this expression.

Hence, the garden's length is 3x - 4 ft.

Learn more about length at https://brainly.com/question/26589728

#SPJ1

The vakue of the equation 5 × (42 + 2 – 12) is 160.

It should be noted that to simplify the equation 5 × (42 + 2 – 12), you'll need to follow the order of operations, which is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

5 × (42 + 2 – 12)

42 + 2 – 12 = 32

Now, the equation is 5 × 32, which can be solved by multiplying 5 and 32:

5 × 32 = 160

Therefore, the simplified equation is 160.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Can someone simplify this equation for me 5 × (42 + 2 – 12)

Answer:

Step-by-step explanation:

If one bottle of perfume holds 5 millimeters and we only have two, we would only be able to fill the bottle 2/5 of the way.

Answer: 187.5 yards2

Step-by-step explanation:

how many square yards of rubber will be needed for this park? that means we have to find out the total area of this trapezoid.

Area of a Trapezoid (A) = (a +b)/2*h

Where: a = length of base 1 (20 yards)

b = length of base 2 ( 10 yards)

h = height of the trapezoid ( 12.5 yards)

* = times

/ = divided by

now plug in all the values in this formula to get the answer.

A = (20 yards + 10 yards)/2* 12.5 yards

= 30 yards/2 * 12.5 yards

= 15 yards * 12.5 yards

= 187.5 yards 2

If Craig wants to identify the spread of the data mean, he should use the standard deviation. The standard deviation measures the dispersion or spread of a set of data points around the mean. It quantifies how much the individual data points deviate from the average.

By calculating the standard deviation of the race times recorded by each runner, Craig can determine how much the race times vary from the mean race time. A larger standard deviation indicates a greater spread of data points, indicating that the race times are more dispersed around the mean. Conversely, a smaller standard deviation indicates a smaller spread of data points, indicating that the race times are more closely clustered around the mean.

Know more about standard deviation here:

https://brainly.com/question/23907081

#SPJ11

The 95% confidence interval for the mean time (in minutes) the adults spend reading newspapers is given as follows:

(8.2, 10).

As 10.5 minutes is not part of the confidence interval, it would be unusual for a person to spend 10.5 minutes reading the newspaper.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

The sample in this problem is given as follows:

11, 9, 8, 10, 10, 9, 7, 11, 11, 7, 6, 9, 10, 8, 11.

Inserting these values into a calculator, the parameters are given as follows:

[tex]\overline{x} = 9.1, s = 1.59, n = 15[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 15 - 1 = 14 df, is t = 2.1448.

The lower bound of the interval is given as follows:

9.1 - 2.1448 x 1.59/sqrt(15) = 8.2.

The upper bound of the interval is given as follows:

9.1 + 2.1448 x 1.59/sqrt(15) = 10.

More can be learned about the t-distribution at brainly.com/question/17469144

#SPJ1

a) The probability of picking S and S is 1/64

b) The probability of picking D and T is 1/64

c) The probability of picking S and T is 1/64

d) The probability of picking a vowel and a consonant is 3/16.

The word STUDENTS contains 8 letters. Each time we pick a letter from the bag, we replace it back, so the total number of outcomes for the first letter and the second letter is 8.

a) To find the probability of picking S and S, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking S in the second draw (1/8), since we replace the letter after each draw:

P(S,S) = (1/8) x (1/8) = 1/64

b) To find the probability of picking D and T, we can multiply the probability of picking D in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(D,T) = (1/8) x (1/8) = 1/64

c) To find the probability of picking S and T, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(S,T) = (1/8) x (1/8) = 1/64

d) To find the probability of picking a vowel and a consonant, we need to count the number of vowels and consonants in the word STUDENTS. There are 2 vowels (U and E) and 6 consonants (S, T, D, N). The probability of picking a vowel is 2/8 = 1/4, and the probability of picking a consonant is 6/8 = 3/4.

Since we replace the letter after each draw, the probability of picking a vowel and a consonant is:

P(vowel, consonant) = (1/4) x (3/4) = 3/16

To learn more about probability click on,

https://brainly.com/question/27628444

#SPJ1

The results of hypothesis testing, as p-values and significance levels are merely tools to help guide decision-making.

When conducting a hypothesis test, the null hypothesis is the default position or assumption.

It is the hypothesis that there is no significant difference between the two groups being compared.

The alternative hypothesis, on the other hand, is the hypothesis that there is a significant difference between the two groups.
To decide whether to reject or accept the null hypothesis, we need to consider the significance level and the p-value.

The significance level (alpha) is the probability of rejecting the null hypothesis when it is actually true.

A common significance level is 0.05, which means that there is a 5% chance of making a type I error (rejecting the null hypothesis when it is true).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true.

If the p-value is less than the significance level, then we reject the null hypothesis and accept the alternative hypothesis.

If the p-value is greater than the significance level, we fail to reject the null hypothesis.
Therefore, you should reject the null hypothesis when the p-value is less than the significance level (alpha).

This indicates that the results are statistically significant and support the alternative hypothesis.

On the other hand, you should not reject the null hypothesis when the p-value is greater than the significance level.

This means that the results are not statistically significant, and there is not enough evidence to support the alternative hypothesis.

For similar question on hypothesis testing:

https://brainly.com/question/30588452

#SPJ11

Answer:

x=13

Step-by-step explanation:

if A//B, then the angles 9x+24 and 3x are supplementary, meaning they add up to 180°

9x+24+3x=180

12x+24=180

12x=156

x=13

69

Step-by-step explanation:

9 x 5 + 24 = 69, why does it equal 69? Because 9 x 5 is 45 and 45 + 24 = 69

For the shape of the distribution of the sample proportion to be approximately normal, it is required that np(1-p) ≥ 10. Suppose the proportion of a population that has a certain characteristic is p.

The mean of the sampling distribution of [tex]\hat{p}[/tex]  (sample proportion) from this population is p.

The shape of the distribution of the sample proportion is important in statistics as it affects the interpretation and reliability of the results. In order for the distribution of the sample proportion to be approximately normal, the sample size needs to be sufficiently large, and the distribution of the population needs to be symmetric or not heavily skewed.

To determine whether the shape of the distribution of the sample proportion is approximately normal, we use the criterion of np(1-p) ≥ 10, where n is the sample size and p is the proportion of the population that has the characteristic of interest. This means that the product of n, p, and (1-p) should be greater than or equal to 10.

When this criterion is met, we can assume that the distribution of the sample proportion is approximately normal, even if the distribution of the population is not.

The mean of the sampling distribution of the sample proportion, denoted as p-hat, is equal to the proportion of the population that has the characteristic of interest, denoted as p.

This means that the sample proportion is an unbiased estimator of the population proportion.

The standard deviation of the sampling distribution of p-hat, denoted as sigma(p-hat), is equal to the square root of [p(1-p)/n], where n is the sample size.

In summary, for the shape of the distribution of the sample proportion to be approximately normal, the sample size needs to be sufficiently large, and the distribution of the population needs to be symmetric or not heavily skewed.

The mean of the sampling distribution of the sample proportion is equal to the population proportion, and the standard deviation of the sampling distribution is equal to the square root of [p(1-p)/n].

For similar question on distribution.

https://brainly.com/question/24213960

#SPJ11

Answer:

23.8

Step-by-step explanation:

Using the Pythagorean theorem,

The height of the kite from the ground is 65 feet.

We have,

We can use the Pythagorean theorem to solve for the height of the kite.

Let h be the height of the kite from the ground.

Then we have a right triangle with legs 40 ft and h ft, and hypotenuse 85 ft (the length of the string).

Applying the Pythagorean theorem, we have:

h² + 40² = 85²

Simplifying and solving for h, we get:

h² = 85² - 40²

h² = 4225

h = 65

Therefore,

The height of the kite from the ground is 65 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

The time taken for the truck to travel on the course from A to B to C to D is 9.3 s.

The speed of an object is the ratio of the distance covered by the object while in motion to the time taken. It can be expressed as;

speed = distance/ time

So that given that ΔABD ≅ ΔCBD, then;

AB ≅ BC = 50 feet

Ad ≅ DC = 40 feet

BD = 30 feet

So that the total distance to be covered by the truck is;

AB + BC + CD = 50 + 50 + 40

                       = 140 feet

If the truck moves with a speed of 15 feet per second, time taken to cover the distance will be;

time = distance/ speed

       = 140/ 15

       = 9.3333

time = 9.33 seconds.

Therefore it will take the truck 9.3 seconds to cover the distance.

Learn more about speed of an object at https://brainly.com/question/6504879

#SPJ1

Answer:

A

Step-by-step explanation:

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

learn more about systemic toxicity here: brainly.com/question/28222646

#SPJ11

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

Know more about quadratic expression here:

https://brainly.com/question/31368124

#SPJ11

Answer:

$6

Step-by-step explanation:

To make the fruit punch, Alex needs to buy cranberry juice and lemon-lime soda. The recipe calls for 3.5 times as many bottles of lemon-lime soda as cranberry juice. If cranberry juice costs $2.80 per bottle and Alex has a budget of $16.80, he can buy a maximum of 6 bottles of cranberry juice. To find this, we first need to calculate how much Alex can spend on each type of beverage, which is $8.40. If Alex buys only lemon-lime soda, he could buy 3.5 x 6 = 21 bottles at $0.40 each. This equals $8.40, leaving no more money for cranberry juice. Therefore, he can only buy 6 bottles of cranberry juice.

Marie's commission for selling a $165,000.00 house is $9,900.00.

Since Marie receives a 6% rate of commission for selling a house, her commission is calculated by multiplying the sale price of the house by the commission rate as a decimal.

In this case, the sale price of the house is $165,000.00. To convert the commission rate from a percentage to a decimal, we divide it by 100:

6% ÷ 100 = 0.06

So Marie's commission for selling the house is:

$165,000.00 x 0.06 = $9,900.00

Therefore, Marie's commission for selling a $165,000.00 house is $9,900.00.

Learn more about commission here

https://brainly.com/question/24951536

#SPJ11

The percentage by which the price increased is 150% on re-selling the car on revised prices.

The percentage increase in price will be calculated by the formula -

Percentage increase = change in price/previous price × 100

Previous price = $12

New price = $30

Change in price = 30 - 12

Change in price = $18

Keep the values in percentage increase formula to find the value

Percentage increase = 18/12 ×100

Performing multiplication and division on Right Hand Side of the equation

Percentage increase = 150%

Hence, the percentage increase is 150%.

Learn more about percentage increase -

https://brainly.com/question/11360390

#SPJ1