3/2 x 7/8 =


Simplify if needed:

The probability of randomly selecting an orange hat is 1/12 or 0.0833.

In the sample, there are total of 4 pieces of clothing and 3 colors.

The possible outcomes is:

= 4 x 3

= 12

So, the outcomes when randomly selecting a piece of clothing and a color is 12.

From 12 possible outcomes, there is only one outcome where you end up with an orange hat.

So, the probability of randomly selecting an orange hat is:

= 1/12

= 0.0833.

Correct question "You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 pieces of clothing (shirt, pants, socks, or hat) and 3 colors (purple, blue, or orange). If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?"

Read more about probability

brainly.com/question/23044118

#SPJ1

Answer:

\(\boxed{3520\ ft/min}\)

Step-by-step explanation:

1 miles per hour = 88 feet per minute

Multiplying both sides by 40

40 miles per hour = 88*40 ft/min

40 mi./hr = 3520 ft/min

Answer:

3520 feet/min

Step-by-step explanation:

the speed of the car in feet per minute:

first convert miles to feet ( 1 mile =5280 feet) and hours to minutes(1hr=60min.)

(40*5280)/1*60=3520 feet/min

Answer:

m<CAB = 54°

m<ABC = 21°

m<ACB = 105°

m<DCB = 75°

Step-by-step explanation:

Part 1: Solve for x

The sum of the 3 interior angles of a triangle always equals 180°.

** Take note

Lets call m<CAB, angle A.

Lets call m<ABC, angle B.

Lets call m<ACB, angle C.

Lets call m<DCB, angle D.

So A + B + C = 180

Therefore we have

\((13x-11)+(4x+1)+C=180\)

We have 1 more angle.

They gave us an exterior angle to help us find angle C.

A straight line is 180°.

They gave us one of 2 angles.

So

\(180-(18x-15)=C\)

We can substitute \(180-(18x-15)\) for \(C\) in our first equation.

All together we have.

\((13x-11)+(4x+1)+(180-(18x-15))=180\)\(13x-11+4x+1+180-(18x-15)=180\)

Now lets simplify and solve for \(x\).

Simplify each term.

Apply the distributive property.

\(13x-11+4x+1+180-(18x)--15=180\)

\(13x-11+4x+1+180-18x+15=180\)

Simplify by adding like terms.
Add \(13x\) and \(4x\).

\(17x-11+1+180-18x+15=180\)

Subtract \(18x\) from \(17x\).

\(-x-11+1+180+15=180\)

Simplify by adding numbers.

Add \(-11\) and \(1\).

\(-x-10+180+15=180\)

Add \(-10\) and \(180\).

\(-x+170+15=180\)

Add \(170\) and \(15\).

\(-x+185=180\)

Move all terms not containing \(x\) to the right side of the equation.

Subtract \(185\) from both sides of the equation.

\(-x=180-185\)

Subtract \(185\) from \(180\)

\(-x=5\)

Divide each term by − 1 and simplify.

\(\frac{-x}{-1} =\frac{-5}{-1}\)

\(x=5\)

Part 2: Find the numerical value of each angle

We can now substitute 5 for x into the equations from the picture.

\((13*5-11)+(4*5+1)+C=180\)

Angle A is \(13x-11\)

So A equals 54°

Angle B is \(4x+1\)

So B equals 21°

Remember \(A + B + C = 180\). We can solve for \(C\) and we get.

\(C=180-A-B\)

\(C=180-54-21\)

So C equals 105°

Remember a straight line is 180°.

We have 2 angles on the straight line.  C and D

Therefore, \(C+D=180\)

\(D=180-C\)

\(D=180-105\)

So D equals 75°

We can check. It gave us \(D=18x-15\)

\(D=18*5-15\)

\(D=90-15\)

\(D=75\)

For the arithmetic series, The first number of the 20th line is 575, and the last number is 634 and the next two lines of the pattern are:

23 26 29

32 35 38 41 .

What is a arithmetic series?

An arithmetic series is a sequence of numbers in which each term is obtained by adding a constant value (called the common difference) to the previous term. The general form of an arithmetic series is:

a, a + d, a + 2d, a + 3d, ...

where "a" is the first term and "d" is the common difference between consecutive terms.

Now,

a) To continue the pattern, we add 3 to the first number of each line, and then add 3 to that sum to get the next number in the sequence. Therefore, the next two lines of the pattern are:

23 26 29

32 35 38 41

b) To find the first number of the 20th line, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁+ (n - 1)d

where aₙ is the nth term, a₁ is the first term, n is the number of terms, and d is the common difference between consecutive terms.

In this case, we know that the common difference is 3, and we want to find the first term of the 20th line. To do this, we need to find the number of terms in the first 19 lines of the pattern. The first line has 1 term, the second line has 2 terms, the third line has 3 terms, and so on. Therefore, the number of terms in the first 19 lines is:

1 + 2 + 3 + ... + 18 + 19 = (19/2)(1 + 19) = 190

So, the first number of the 20th line is:

a₁ = 5 + (190)(3) = 575

To find the last number of the 20th line, we can use the formula:

aₙ = a₁+ (n - 1)d

where n is the number of terms in the 20th line, and d is still the common difference of 3.

The number of terms in the 20th line is 20, so the last number is:

a₂₀ = a₁+ (n - 1)d = 575 + (20 - 1)(3) = 634

Therefore, the first number of the 20th line is 575, and the last number is 634.

To know more about arithmetic series visit the link

brainly.com/question/1452631

#SPJ1

35% of the circle would represent the food budget.

The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics

Given are the vacation expenses budgets labeled in a circle graph.

We can write the total budget as equivalent to the Area of the circle as -

${600 + 450 + 270} → πr²

$1320 → πr²

$1 → πr²/1320

$450 →  πr²/1320 x 450 = 0.35 πr²

Therefore, 35% of the circle would represent the food budget.

To solve more questions on fractions, visit the link below -

https://brainly.com/question/1301963

#SPJ1

The length of the photo is shorter by 11/16 inches.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Top cutoff length = 5/16 inch

Bottom cutoff length = 3/8 inch

Now,

The length of the photo is shorter by:

= 5/16 + 3/8

= (5 + 6) / 16

= 11/16 inch

Thus,

The photo is shorter by 11/16 inches.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ1

The base value of a numeral system can be founded by counting the number of unique digits or symbols used in the system.

The base value of a numeral system can be determined by counting the number of unique digits or symbols used in the system. For example, in the base 10 numeral system, which is commonly used in everyday life, the base value is 10 because it uses the digits 0 through 9. In the base 2 numeral system, which is also known as binary, the base value is 2 because it only uses the digits 0 and 1.

Another way to find the base value is to look at the exponent of the highest power of the base in the numeral system. For example, in the number 42 in base 10, the highest power of 10 is 10¹, which is 10. Therefore, the base value is 10. Similarly, in the number 1010 in binary, the highest power of 2 is 2³, which is 8. Therefore, the base value is 2.

It's important to note that when working with different numeral systems, it is essential to know the base value in order to understand the value of the number being represented.

Learn more about Find the Base Value here:

https://brainly.com/question/16072321

#SPJ4

Answer:

i think it's a quadrilateral it's a rhombus.

Step-by-step explanation:

hope this helps

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

d Because I just took the test and got it right

Answer:

\(m= -2\frac{1}{13}\)

Step-by-step explanation:

2m-27/3=5m

x3.             x3

2m-27=15m

-2m.     -2m

-27=13m

/13.   /13

-27/13=m

-2 1/13=m

Hopes this helps please mark brainliest

Answer:$8,000

Step-by-step explanation:

YEah im too lazy to say hiow i sovled jt

Answer: d= 412

i did 267+145 and that was 412 then i did 212-267 and got 145

Answer:

3(-x+2)(x+2)

Step-by-step explanation:

1.-3x^2+12

2.-3x^2+2^2x3

3.3(- 3x^2/3 +2^2 x3/3)

4.3(-x+2)(x+2)

Answer:

k < 9/8

Step-by-step explanation:

let me know if you want an explanation :))

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

To know more about the residual, here

https://brainly.com/question/1447173

#SPJ4

Answer: a.83

Step-by-step explanation:

apoooxe

As the sample size gets larger, the z value increases therefore we will more likely to  less likely to fail to reject the null hypothesis, thus the power of the test increases.

Statistical tests provide a mechanism for making quantitative decisions about one or more processes. The intent is to determine whether there is sufficient evidence to "reject" speculations or hypotheses about the process. If you want to keep pretending that you "believe" the null hypothesis is true, then not rejecting it can do you good. Alternatively, it may indicate that there is not yet enough data to "prove" something by rejecting the null hypothesis. A classic application of statistical testing is process control studies. Suppose a manufacturing process is interested in  a photomask with an average linewidth of 500 microns. The null hypothesis in this case is that the average linewidth is 500 microns. This statement implies the need to characterize photomasks with average linewidths much larger or  smaller than 500 microns. This leads to the alternative hypothesis that the average linewidth is not equal to 500 microns. This is a two-way substitution as it protects against substitution in the opposite direction. In other words, the line width is either too small or too large.

learn more about statistical test here:

brainly.com/question/14128303

#SPJ4

Answer:

11,5,-2

is the answer. I hope it will help you.

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

To know more about Investor, visit

brainly.com/question/29797771

#SPJ11

To solve this problem, we need to use the formula for permutations, which is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are choosing. In this case, we are choosing 5 digits from a set of 6 digits (since we can't repeat any digit), so we have:

6P5 = 6! / (6 - 5)! = 6 x 5 x 4 x 3 x 2 = 720

Therefore, there are 720 5-digit numbers that can be formed using only the digits 3, 8, 1, 2, 5, and 7, where no digit is used more than once.
To form a 5-digit number using the digits 3, 8, 1, 2, 5, and 7 without repetition, follow these steps:

1. Choose a digit for the first position: You have 6 options (3, 8, 1, 2, 5, or 7).
2. Choose a digit for the second position: You now have 5 remaining options (since you cannot repeat the digit chosen in step 1).
3. Choose a digit for the third position: You have 4 remaining options (excluding the digits chosen in steps 1 and 2).
4. Choose a digit for the fourth position: You have 3 remaining options (excluding the digits chosen in steps 1, 2, and 3).
5. Choose a digit for the fifth position: You have 2 remaining options (excluding the digits chosen in steps 1, 2, 3, and 4).

Now, multiply the number of options for each position: 6 × 5 × 4 × 3 × 2 = 720

So, there are 720 different 5-digit numbers that can be formed using the digits 3, 8, 1, 2, 5, and 7 without repetition.

To learn more about permutations : brainly.com/question/30649574

#SPJ11

Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

To know more about geometric solids: https://brainly.com/question/29161618

#SPJ11

Answer:

B. perpendicular

Step-by-step explanation:

the lines AC and CH touch creating a 90 degree angle, so they are perpendicular lines

The rate at which the people are moving apart 15 minutes after person B starts walking is √2660 feet per second. To the nearest tenth of a foot per second, this is 51.3 feet per second.

Let's call the rate at which the people are moving apart "d".

15 minutes after person B starts walking, person A has been walking for 15 + 5 = 20 minutes, for a total distance of 20 * 4 = 80 feet north from point P.

At the same time, person B has been walking for 15 minutes, for a total distance of 15 * 5 = 75 feet south from point 500 feet due east of P.

The distance between the two people is the square root of the sum of the squares of their north-south and east-west separations, or:

d = √(80^2 + (500)^2) = √(80^2 + 250000) = √250100 = 500

Since the rate at which they are moving apart is the derivative of their separation with respect to time, we can find it by taking the derivative of the above equation with respect to time:

d/dt = √(2 * 80 * 4dt / dt + 2 * 500 * 5dt / dt) = √(160 + 2500) = √2660

To the nearest tenth of a foot per second, this is 51.3 feet per second.

To learn more about distance please click on below link        

https://brainly.com/question/15172156

#SPJ4

The parameter u in a paired t procedure represents the mean difference in the responses to the two groups within pairs of subjects in the entire population.

This means that u captures the average change or effect observed when comparing the two related groups.

To elaborate further:

The parameter u represents a specific measure of interest in a paired t procedure.  In a paired t procedure, the data consists of paired observations, where each observation is made on the same subject or item under different conditions.

The parameter u represents the mean difference between the paired observations for the entire population. It quantifies the average change or effect observed between the two groups being compared within the pairs of subjects. By estimating the value of u from a sample, we can make inferences about the population parameter and test hypotheses regarding the difference between the two groups.

To learn more about mean click here:

brainly.com/question/31101410

#SPJ11

Answer:

\(\dfrac{10}{7}\)

Step-by-step explanation:

To solve this problem, we first have to understand some exponent rules.

1. When an exponent is a fraction, the exponent's numerator is how many instances of the base there are, and its denominator is the root of those instances.

For example,

\(5^{2/3} = \sqrt[3]{5^2} = \sqrt[3]{25}\)

2. When an exponent is negative, the resulting value is reciprocated.

For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}\)

Using these rules, we can rewrite the given expression.

\(\left(\dfrac{49}{100}\right)^{-1/2} = \dfrac{1}{\sqrt{\dfrac{49}{100}}}\)

Then, we can simplify the denominator by solving for the square root of the  fraction 49/100.

\(\dfrac{1}{\sqrt{\dfrac{49}{100}}} = \dfrac{1}{\dfrac{7}{10}}\)

Finally, we can apply the fraction division rule.

\(A \div \dfrac{B}{C} = A \times \dfrac{C}{B}\)

\(\dfrac{1}{\dfrac{7}{10}} = 1 \cdot \dfrac{10}{7} = \dfrac{10}{7}\)

Answer:

6.5 × 10^-3

Step-by-step explanation:

there 3 decimal points to make it 6.5 so it makes it -3

Answer:

10

Step-by-step explanation:

3u = 15
1u = 15/3
   =5
2u = 5 x 2
    = 10