A coin is tossed three times. What is the probability of getting heads on each toss? Express the answer as a reduced fraction.​

Answer:2:1

Step-by-step explanation:

6.5:3.25

6.5/3.25=2/1

6.5:3.25=2:1

therefore n=2

Answer:

ayy sensya na po Yan din po hanap Kong answer

Answer: r=2.0%

Step-by-step explanation:

Step-by-step explanation:

When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).

\(3(2x^2+8x-4)= 6x^2+24x-12\)

\(2(5x+6) = 10x+12\)

Now, we subtract f(x) from g(x) after being multiplied.

\((6x^2+24x-12)-(10x+12)\)

\(6x^2+14x-24\)

Given:

The graph of the parabola is given.

Required:

Find the correct option that represents the equation of the parabola.

Explanation:

The graph of the parabola is opening to the negative x-axis. The equation of the parabola in this form is

We observe the equation of the form from the options is

Final Answer:

Option A is the correct answer.

The interest rate on the loan is 5.25%.

It should be noted that the formula for calculating the simple interest is given as:

Interest = (Principal × Rate × Time) / 100

In this case,

Interest = 65625

Principal = 125000

Time = 10

Interest = (Principal × Rate × Time) / 100

65625 = (125000 × R × 10)/100

Cross multiply

6562500 = 1250000R

Divide

R = 6562500 / 1250000

R = 5.25

The rate is 5.25%

Learn more about interest on:

brainly.com/question/25793394

#SPJ1

The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.

The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:

X² = ∑(observed - expected)² / expected

The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.

To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.

Category 1: expected frequency = 49, observed frequency = 12

Category 2: expected frequency = 49, observed frequency = 22

Category 3: expected frequency = 49, observed frequency = 65

Category 4: expected frequency = 49, observed frequency = 97

Using the formula above, we can calculate the test statistic:

X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]

X² = 37.96

To know more about test statistic here

https://brainly.com/question/14128303

#SPJ4

Complete Question:

An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.

\(\huge\fcolorbox{blue}{aqua}{Answer:}\)

═════════════════════

1.\(- 5x - y = 8\)

\(-5x-y=8\)

\(-5x=8+y \)

\(-5x=y+8 \)

\(\frac{-5x}{-5}=\frac{y+8}{-5} \)

\(x=\frac{y+8}{-5} \)

\(x=\frac{-y-8}{5} \)

\(-5x-y=8\)

\(-y=8+5x \)

\(-y=5x+8 \)

\(\frac{-y}{-1}=\frac{5x+8}{-1} \)

\(y=\frac{5x+8}{-1} \)

\(y=-5x-8 \)

────────────────────

2.\(-4x-y=2 \)

\(-4x-y=2 \)

\(-4x=2+y \)

\(-4x=y+2 \)

\(\frac{-4x}{-4}=\frac{y+2}{-4} \)

\(x=\frac{y+2}{-4} \)

\(x=-\frac{y}{4}-\frac{1}{2} \)

\(-4x-y=2\)

\(-y=2+4x \)

\(-y=4x+2 \)

\(\frac{-y}{-1}=\frac{4x+2}{-1} \)

\(y=\frac{4x+2}{-1} \)

\(y=-4x-2 \)

════════════════════

Explanation:

#Carry on learning

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

for such more questions on  weight

https://brainly.com/question/29892643

#SPJ8

9514 1404 393

Answer:

  d  no

Step-by-step explanation:

The equation of direct variation is a linear (1st-degree) equation. This is a quadratic (2nd-degree) equation, so is not direct variation.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

For more such questions on Parameters

https://brainly.com/question/29673432

#SPJ8

Answer:

C) 18

Step-by-step explanation:

so, if 8 over 6 is the same ratio as 4 over 3, and 24 divided by 6 is 4, you need to figure out 3*6, which is 18

the ratio of 24 to 18 is the same as 8 to 6

Answer:

C) 18

hope it helps

thank tou

Answer:

C

Step-by-step explanation:

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

To learn more about increase:

https://brainly.com/question/9895771

#SPJ1

Answer:

The value of \(x\) is 16.667.

Step-by-step explanation:

In this exercise, we know that the two triangles described in the figure are similar. If both are similar, the following ratio is constructed:

\(\frac{x}{25} = \frac{26}{39}\) (1)

\(x = 16.667\)

The value of \(x\) is 16.667.

The ratio of males to females in the cage is 2:3.

According to the question,

We have the following information:

For every 4 male birds in a cage there are 6 females.

The ratio of males to females = Number of males in the cage: number of females in the cage

Ratio of males to females = 4:6

We can convert this ratio into the simplest form by dividing both the numbers by 2 and this will also be the equivalent ratio of this obtained ratio.

Ratio of males to females = 2:3

Hence, the ratio of males to females in the cage is 2:3.

To know more about ratio here

https://brainly.com/question/12681285

#SPJ9

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

Answer:

72 .22 inches is the answer bro

Answer:

72.22 inches

Step-by-step explanation:

Formula for circumference given diameter is:

c = πd

If you use 3.14 for pi, you get 72.22 inches:

c = 3.14(23)

c = 72.22

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

For similar question on displacement-time.

https://brainly.com/question/28357012  

#SPJ8

Answers:

x = 108

y = 111/5 = 22.2

========================================================

Explanation:

The angles 72 and x form a 180 degree straight line.

72+x = 180

x = 180-72

x = 108

Angles x and 5y-3 are congruent corresponding angles assuming the lines pointing to the northwest are parallel

5y - 3 = x

5y - 3 = 108

5y = 108+3

5y = 111

y = 111/5

y = 22.2

Answer:

x = 108°

y = 22.2°

Step-by-step explanation:

Angles on a straight line sum to 180°.

\(\implies 72^{\circ} + x = 180^{\circ}\)

\(\implies 72^{\circ} + x - 72^{\circ} = 180^{\circ} - 72^{\circ}\)

\(\implies x = 108^{\circ}\)

Corresponding Angles Theorem

When a straight line intersects two parallel straight lines, the angles in the same relative position are congruent.

Assuming the two lines that appear parallel in the given diagram are parallel:

\(\implies (5y - 3)^{\circ} = x^{\circ}\)

\(\implies 5y - 3 = 108\)

\(\implies 5y - 3 + 3 = 108 + 3\)

\(\implies 5y = 111\)

\(\implies 5y \div 5 = 111 \div 5\)

\(\implies y = 22.2^{\circ}\)

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

For more such questions on dilated,click on

https://brainly.com/question/30240987

#SPJ8  

Answer:

a) n+5

6, 7, 8, 9, ..., 15

b) 2n-1

1, 3, 5, 7, ..., 19

Answer:

a) n+5

6, 7, 8, 9, ... , 15

b) 2n-1

1, 3, 5, 7, ... , 19

Just add in the # of terms as n and plug it into the formula given.

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer:

x comes before y (x, y). One way to remember is 'you go along the hallway before you go up the stairs'.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: