What is the area of both? Lmk pls

Answer:

\(144\) \(inches^2\)

Step-by-step explanation:

Hey there!

In order to find the area of a triangle, you need to:

Multplipy the base by the height

Then you take that product and multiply it by 1/2 (basically divide it by 2)

Then you get your area!

Base: 19

Height: 12

19 x 12

228

228 x 1/2

228/2

114

So the area of this triangle is \(144\) \(inches^2\)

Answer:

$14.43

That's just the answer

By subtracting 62 - 47.57

If a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The total cost of a washer and dryer combined = $750

The cost of the dryer = x

The cost of the washer is two times the cost of the dryer.

The cost of the washer = 2x

Then the equation will be

x + 2x = 750

Add the like terms of the equation

3x = 750

Move 3 to the right hand side of the equation

x = 750/3

x = $250

Hence, if a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The complete question is:

A washer and dryer cost $750 combined the cost of the washer is two times the cost of the dryer what is the cost of the dryer?

Learn more about equation here

brainly.com/question/14603559

#SPJ4

The number of employees that must be included in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean is 107 employees.

To estimate the mean number of hours worked by all grocery store employees in the county with 95% confidence and a margin of error of 1.5 hours, we can use the sample size formula:

n = (Z * σ / E)²

where:
- n is the required sample size
- Z is the critical value (1.96 for a 95% level of confidence)
- σ is the population standard deviation (7.9 from the previous study)
- E is the margin of error (1.5 hours)

Plugging in the given values:

n = (1.96 * 7.9 / 1.5)²

n ≈ 106.56

Since you cannot have a fraction of an employee, you need to round up to the nearest whole number. Therefore, the researcher must include 107 employees in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean.

Learn more about sample size here: https://brainly.com/question/29766751

#SPJ11

Answer 5795

Step-by-step explanation:

The probability that the claim will be rejected assuming the manufacturer's claim is true can be approximated using the normal distribution. The probability of at least 80 patients being cured out of 100 can be calculated using the binomial distribution and then approximated using the normal distribution.

Let's define the success as a patient being cured and the probability of success as 0.84, as stated by the manufacturer's claim. We want to find the probability of at least 80 successes out of 100.

Using the binomial distribution, we can calculate the probability as follows:

P(X ≥ 80) = P(X = 80) + P(X = 81) + ... + P(X = 100)

Since calculating this probability directly using the binomial distribution is cumbersome, we can approximate it using the normal distribution. The conditions for approximating a binomial distribution with a normal distribution are satisfied when n (number of trials) is large and p (probability of success) is not too close to 0 or 1. In this case, n = 100 and p = 0.84, so the approximation is valid.

To approximate the probability, we calculate the mean (μ) and standard deviation (σ) of the binomial distribution:

μ = np = 100 * 0.84 = 84

σ = sqrt(np(1 - p)) = sqrt(100 * 0.84 * (1 - 0.84)) = 3.12

We then use the normal distribution with mean μ and standard deviation σ to find the probability of at least 80 successes:

P(X ≥ 80) ≈ P(Z ≥ (80 - μ) / σ)

Using standard normal distribution tables or a calculator, we can find the probability associated with the Z-score calculated above. This probability represents the likelihood of rejecting the claim assuming the manufacturer's claim is true.

Learn more about binomial here:

https://brainly.com/question/30339327

#SPJ11

The approximate shape of the sampling distribution of the sample mean in this scenario will be normal.

When a large sample (n ≥ 30) of observations is selected from a right-skewed population, the Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normal, regardless of the underlying distribution of the population.

This is because as the sample size increases, the sample mean becomes more and more normally distributed, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Therefore, the approximate shape of the sampling distribution of the sample mean in this scenario will be normal.

To know more about sampling distribution refer here:

https://brainly.com/question/31465269?#

SPJ11

Answer:

21

Step-by-step explanation:

10.5 ÷ 3 = 3.5

3.5 × 6 = 21

There is a 37.5% chance that a student who studied 3-5 hours received a B grade.

To find the probability of a student studying 6-8 hours and receiving a grade of C, you need to divide the number of students who studied 6-8 hours and received a C grade by the total number of students. Let's say you have a dataset with 1000 students, and 200 of them studied 6-8 hours and received a C grade. In this case, the probability would be:

P(study 6-8 hours and receive C) = 200/1000 = 0.2 or 20%

To find the probability that a student received a grade of B given that they studied 3-5 hours, you need to use Bayes' theorem. Bayes' theorem is a formula that helps you update your prior belief (in this case, the probability of receiving a B) based on new information (in this case, the number of hours studied). The formula is:

P(B|3-5 hours) = P(3-5 hours|B) * P(B) / P(3-5 hours)

P(B|3-5 hours) is the probability of receiving a B given that the student studied 3-5 hours.

P(3-5 hours|B) is the probability of studying 3-5 hours given that the student received a B.

P(B) is the prior probability of receiving a B.

P(3-5 hours) is the probability of studying 3-5 hours.

To find these values, you need to analyze your dataset and count the number of students who fall into each category. Once you have those numbers, you can plug them into the formula and calculate the probability.

For example, let's say you have a dataset with 1000 students, and 300 of them received a B, 400 of them studied 3-5 hours, and 150 of them received a B and studied 3-5 hours. In this case, the probabilities would be:

P(B) = 300/1000 = 0.3 or 30%

P(3-5 hours) = 400/1000 = 0.4 or 40%

P(3-5 hours|B) = 150/300 = 0.5 or 50%

Now you can plug these values into Bayes' theorem and calculate the probability:

P(B|3-5 hours) = 0.5 * 0.3 / 0.4 = 0.375 or 37.5%

For more such questions on Probability

https://brainly.com/question/24756209

SPJ4

Answer:

1st is -120-x

2nd is -x-12

It says, 

|x| = x, for any x >= 0 and

|x| = -x, for any x < 0 Now, instead of x, we have the expression x+120 inside the absolute value brackets:

|x+120|

Play the same game as above - what is the absolute value here?

|x+120| = x+120 for (x+120)>=0 and|x+120| = -(x+120) for (x+120)<0

Step-by-step explanation:

hope this helps. And please give me brainliest

Answer:

C) 3^3*x^-3

Step-by-step explanation:

okay, so let's just find the numerator and denominator separately

So 27 is equal to 3^3. Numerator done.

Now for the denominator:

You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.

So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.

This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.

In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3

I hope this made sense and was helpful :))

The difference of the numbers that are given will be:

a. -20

b. -12

c. 11

d. -8

It is important to note that the difference simply means the subtraction of the numbers given. In this case, this will be illustrated thus:

a. -8 - 12

= -20

b. 4 - 16

= -12

c. 3 - (-8)

= 3 + 8

= 11

d. -12 - (-4)

= -12 + 4

= -8

It is important to note the following when solving operations:

(minus) × (minus) = plus

(plus) × (minus) = minus

(plus) × (plus) = plus

Learn more about number line on:

brainly.com/question/24644930

#SPJ1

Answer:

=62/63

=\(\frac{62}{63}\)

Step-by-step explanation:

Convert everything to a denominator 63

=\(=\frac{3*9}{63} +-\frac{2*7}{63} +\frac{7*7}{63}\)

=\(\frac{27}{63} +\frac{-14}{63} +\frac{49}{63}\\\)

Add up the numerators

= \(\frac{62}{63}\)

Answer:

68%

In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.

Step-by-step explanation:

I believe it is about 68%

Answer:

2

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y = 4x + 13

Step-by-step explanation:

First of all, if they are parallel, they must have the same slope, so the 4x is the same. all we need to do now is to change the b to make it cross the point (-3, 1). Doing so, we see that the y-intercept becomes 13. Therefore, the equation is y = 4x + 13.

The first six terms of the sequence defined by an = (5n -1 )/3n+1 Q1 = a1= 1, a2=1.286 , a3=1.4, a4=1.462 , a5=1.5 ,a6=1.526 . Therefore, the sequence has a limit of 5/3.

To find the first six terms of the sequence defined by an = (5n -1 )/3n+1, we need to substitute the values of n=1, 2, 3, 4, 5, and 6 into the expression given.

Then we will have the values of the first six terms of the sequence:

a1 = (5(1) - 1)/(3(1) + 1) = 4/4 = 1

a2 = (5(2) - 1)/(3(2) + 1) = 9/7 ≈ 1.286

a3 = (5(3) - 1)/(3(3) + 1) = 14/10 = 1.4

a4 = (5(4) - 1)/(3(4) + 1) = 19/13 ≈ 1.462

a5 = (5(5) - 1)/(3(5) + 1) = 24/16 = 1.5

a6 = (5(6) - 1)/(3(6) + 1) = 29/19 ≈ 1.526

To find whether the sequence appears to have a limit or not, we can observe the values of the sequence. As we can see, the values of the sequence are increasing, but they do not seem to be increasing without bound.

Therefore, the sequence appears to have a limit. Using the limit formula, we can find the limit of the sequence as follows: lim n→∞ (5n - 1)/(3n + 1) = lim n→∞ [(5/n) - (1/n)] / [(3/n) + (1/n)] = lim n→∞ [5 - 1/n] / [3 + 1/n] = 5/3

So, the sequence has a limit of 5/3.

Learn more about  sequence here:

https://brainly.com/question/30262438

#SPJ11

Answer:

995 pounds took the test got it right

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

% (percent) means 100

0.5% of (1000 pounds)

= 0.5% × (1000 pounds)

= 0.5 ÷ 100 (1000 pounds)

=  5 pounds

Answer:

The four ancient centers are the triangles centroid, incenter, circumcenter, and orthocenter.

Step-by-step explanation:

Note that most, but not all, special triangle points therefore qualify as triangle centers

The centers of the triangles are :- Incenter, Orthocenter,  Centroid, Circumcenter, Centroid, Centroid, Orthocenter, Circumcenter, Incenter and Circumcenter.

A triangle center or triangle center is a point in the triangle's plane that is in some sense in the middle of the triangle.

Given that, are triangles, we need to identify the type of the center,

The given types are :- circumcenter, incenter, orthocenter and centroid.

Circumcenter :-

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Incenter :-

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

Orthocenter :-

The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other.

Centroid :-

The centroid is the center point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Therefore,

1) Angle bisector :- Incenter     4) Perpendicular bisector :- Circumcenter

2) Perpendicular drawn :- Orthocenter   5) Centroid

3) Medians intersecting :- Centroid      6) Medians intersecting :- Centroid

7) Perpendicular drawn :- Orthocenter

8) Perpendicular bisector :- Circumcenter

9) Angle bisector :- Incenter   10) Perpendicular bisector :- Circumcenter

Hence, the centers of the triangles are :- Incenter, Orthocenter,  Centroid, Circumcenter, Centroid, Centroid, Orthocenter, Circumcenter, Incenter and Circumcenter.

Learn more about center of triangle, click;

https://brainly.com/question/15503404

#SPJ2

Answer:

Kayak and Canoe rented for 3 hours

Step-by-step explanation:

Let the time for which they rent canoe & kayak = x hours  

Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x  

Given] Total canoe & kayak cost = 78.92

So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92

20.49 + 17.99 + 7.49x + 5.99x =  78.92 ; 38.48 + 13.48x = 78.92

13.48x = 78.92 - 38.48 ; 13.48x = 40.44

x = 40.44 / 13.48 ; x = 3

3 hours

Answer: 100 $

Step-by-step explanation:

300 divided by 3 is 100

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

To know more about area,

https://brainly.com/question/31479047

#SPJ11

Ruby's total earning for the month will be $4,020.

It is given that -

Ruby's monthly salary =$1,800

Ruby's  commission on sales= 6%

Ruby's last month sales= $37000

Ruby's monthly salary =$1,800

Ruby's  commission on sales= 6%

Ruby's last month sales= $37000

Amount Ruby earned as a commission = \(\dfrac{37000\times6}{100}\) =  $2220

Ruby's total earning will be = Salary + commission

                                               = 1800+2220

                                                = $4020

Hence Ruby's total earning for the month will be $4,020.

To know more about percentage follow .

https://brainly.com/question/19247356

Answer:

2  171717/100000

Part A: It can be written as y = sin(x - c), where c represents the amount of phase shift. Part B: We can use the equation y = sin(x - a), where a represents the amount of rightward shift. Part C: The period is the distance between corresponding points on the graph, such as two peaks or two troughs. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself.

1. Part A: To introduce a phase shift to the parent sine function y = sin(x), we subtract a constant value c from the input variable x. The equation y = sin(x - c) has an identical graph to the parent sine function, but it is shifted horizontally by an amount of c units to the right or left. The value of c determines the amount of phase shift, where a positive value shifts the graph to the right, and a negative value shifts it to the left.

2. Part B: To map the parent sine function onto itself by shifting it to the right, we can use the equation y = sin(x - a), where a represents the amount of rightward shift. By subtracting a constant value a from the input variable x, the graph is shifted a units to the right while maintaining the same shape.

3. Part C: The equations in parts A and B indicate that the period of the sine function remains the same. The period of the sine function is the distance between corresponding points on the graph, such as two peaks or two troughs. Introducing a phase shift or rightward shift does not alter the period; it only changes the starting point or position of the graph.

4. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself. By combining different values of phase shifts and rightward shifts, we can obtain various equations. The sine function is periodic, meaning it repeats itself indefinitely. Any combination of phase shift and rightward shift will result in the same graph repeating after a specific interval, which is the period of the sine function. Therefore, there is no limit to the number of equations that can be written to achieve this mapping.

Learn more about parent sine function here: brainly.com/question/29018154

#SPJ11

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

TO learn more about trigonometric ratio refer the below link

https://brainly.com/question/24349828

#SPJ4

Answer:

given

hope it helps!

Step-by-step explanation:

(10x^3y^2/5x^-3y^44)

= (10/5)(x^3/x^-3)(y^2/y^44)

= (2)(x^6)(y^-42)

= 2x^6y^-42

(2x^6y^-42)^3

= 8x^6*3y^-42*3

= 8x^18y^-126

Answer:

8x^18/ y^126.

Step-by-step explanation:

(10x^3y^2/5x^-3y^44)^3

= 1000x^9 * (0.2x^3)^3y^6 / y^132

= 1000x^9 * 0.008x^9 / y^126

= 8x^18/ y^126