Jake lives 15 times as far away from the mountains as Larry. If Larry lives 32 miles from the mountains, how many miles from the mountains does Jake live?

Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

4/5 = 0.8

0.8 is greater than 0.56

Answer:

-5,0

Step-by-step explanation:

Answer:

-5,0

Step-by-step explanation:

The probability that at least one of your lights is​ defective is .

The probability of precisely x successes on n repeated trials is known as a binomial probability, and X can only have two possible outcomes.

\(P(X=x)=^nC_rp^x(1-p)^{n-r}\)

Where \(^nC_r\) is the number of different combinations of x objects from a set of n elements and p is the probability.

Now, here 6% lights did not work, so

p=6/100=0.06

n=5

Now, finding the probability that at least one of your lights is​ defective. Either one bulb is defective or no one is defective.

\(P(X=0)+P(x\geq 1)=1\\P(x\geq 1)=1-P(X=0)\)

Now, finding probability of no defective,

\(P(X=0)=^5C_00.06^0(1-0.06)^{5}\\=0.7339\\P(X\geq 1)=1-0.7339\\=0.2661\)

Now, finding the percentage probability,

\(0.2661\times100=26.61\)%

Therefore, the probability that at least one of your lights is​ defective is 26.61%.

To learn more about Binomial Probability visit here:

https://brainly.com/question/9325204

#SPJ4

The given question is incomplete here is the complete question:

You purchased a​ five-pack of new light bulbs that were recalled because 6​% of the lights did not work. What is the probability that at least one of your lights is​ defective?.

Answer:

200+10+6=216

Step-by-step explanation:

2 hundred and 16 is in word form

Since 200 can be written as a sum of 2 100's, hence there are two hundred in the expression given,

Given the expression 200 + 10 + 6

Each term can be written in words as shown:

200 is two hundred

200 = 100 + 100

Since 200 can be written as a sum of 2 100's, hence there two hundred in the expression given,

Learn more here: https://brainly.com/question/24588842

The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.

The bottleneck time is the longest time it takes to complete any task in the assembly line. In this case, the longest time needed is 10, which is the last station. This means that all the other tasks must be completed within 10 seconds in order for the entire assembly line to proceed.

The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

Learn more about recurrence relation

https://brainly.com/question/4082048

#SPJ1

Answer:

8p^3 ( 2p -3)

Step-by-step explanation:

16p^4 - 24p^3

8*2* p^3 *p - 3*8*p^3

Factor out the common terms

8p^3 ( 2p -3)

Answer:

the equation would be p-3$

Step-by-step explanation:

Answer:

20π m³

Step-by-step explanation:

Volume of cylinder = π r ² h

= π (2)² (5)

= (4)(5)π

= 20π m³

Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.

Answer:23.7

Step-by-step explanation:

In a hypothesis testing context, before examining the data, one should typically decide whether the alternative hypothesis is one-sided or two-sided. This decision is based on the specific research question and the expected direction of the effect being tested.

It helps determine the appropriate statistical test and the formulation of the null and alternative hypotheses.

The computation of the p-value and the decision of whether or not to reject the null hypothesis are made after examining the data and conducting the statistical analysis. The p-value is a measure of the strength of the evidence against the null hypothesis, and it is compared to a predetermined significance level to make a decision. If the p-value is below the significance level, the null hypothesis is typically rejected in favor of the alternative hypothesis.

Therefore, the correct answer is (c) decided whether the alternative hypothesis is one-sided or two-sided.

To learn more about  Hypothesis - brainly.com/question/31319397

#SPJ11

Answer:

170 degrees

Step-by-step explanation:

110+ 60= 170

x angle = 170 degrees

Answer:

The old tower has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

Learn more about Regular Expression

brainly.com/question/32344816

#SPJ11

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

229

Step-by-step explanation:

363 -892=229

229+363=892

Answer:

boom bam

Step-by-step explanation:

x - 50 = 15

x - 50 + 50 = 15 + 50

x = 65

Equation #2

x - 50 = -15

x - 50 + 50 = -15 + 50

x = 35

The least amount is 35 dollars and the biggest amount is 65 dollars.

Answer: $45

EXPLANATION:If you have 50 dollars, to find the least amount SUBTRACT the $15 not add.

50 - 15 = $45.

Answer:

16/9

Step-by-step explanation:

(11/9) + (5/9) = 11/9 + 5/9 = 16/9

16/9 is already in simplest form, so the answer is 16/9

Answer: (11/9) + (5/9) = (11 + 5)/9 = 16/9

Step-by-step explanation:

We have to find a common denominator for the two fractions. Since both fractions have a denominator of 9, we can add the numerators directly.

Add the numerators of the two fractions: 11 + 5 = 16.

Write the sum over the common denominator: 16/9.

Simplify the fraction if possible. In this case, it is already in simplest form.

Therefore, (11/9) + (5/9) = 16/9.

Therefore, the value of F is approximately 18.92 degrees.

An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex of the angle. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees or radians and can be classified based on their measure as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (between 90 and 180 degrees), or straight (exactly 180 degrees). Angles are an important concept in geometry and have many real-world applications, including in physics, engineering, and architecture.

Here,

If we look at the diagram, we can see that angles d° and e° are vertical angles, which means they are equal in measure. Similarly, angles (9-86)° and 45° are supplementary angles, which means they add up to 180°. Using this information, we can set up an equation:

d = e (since they are vertical angles)

(9-86) + 45 + e + (6f) + 15 = 180 (since the sum of angles in a triangle is 180°)

Simplifying the equation, we get:

-32 + e + 6f + 60 = 180

e + 6f + 28 = 180

e + 6f = 152

Substituting d = e, we get:

d + 6f = 152

But we know that d + e + (9-86) = 180 (since the sum of angles in a straight line is 180°)

Substituting d = e, we get:

2d + (9-86) = 180

2d = 77

d = 38.5

Substituting d = e = 38.5 in the equation e + 6f = 152, we get:

38.5 + 6f = 152

6f = 113.5

f = 18.92

To know more about angle,

https://brainly.com/question/14569348

#SPJ1

Answer:

See below

Step-by-step explanation:

Change in y   is   6    for each   2  change in  x   (from the table)

Slope is rise / run        rise is the change in y     'run' is the change in 'x'

         slope = 6/2 = 3  

Answer:

Option D.

Step-by-step explanation:

A  function is a relation in which one input (x-value) is assigned to exactly one output (y-value).

Since option D's x-values do not repeat, then it is a function.

Hope this helps.

we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

So we have a square with an area of 16 square units, then the side length of that square will be given by:

S^2 = 16 square units

Now, there are two solutions for the above equation, these are:

S = 4 units

S = -4 units.

But being a solution of the equation does not mean that the solutions have sense in the context of the problem.

When we talk about dimensions of figures, negative numbers are not really well defined. We can't say that a square has a side length of "negative 4 units"

That does not make sense, remember that math is just a language, and it should be used to communicate things to others.

So the logical solutions (4 and -4) is not the only thing we need to look at when we state the solutions of a problem, but also the problem itself.

That is why we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

If you want to learn more about square roots:

https://brainly.com/question/98314

#SPJ1

There are a total of 5! (5 factorial) ways to arrange 5 different flowers in a circle. However, since the arrangement is in a circle, we need to divide by the number of flowers to account for rotational symmetry.

So the formula for the number of ways to arrange n different flowers in a circle is:

(n-1)!

Plugging in 5 for n, we get:

(5-1)! = 4! = 4 × 3 × 2 × 1 = 24

Therefore, there are 24 different ways to plant 5 different flowers in a circle.

I hope this helps! Let me know if you have any further questions.

Learn more about flowers:

https://brainly.com/question/27280718

#SPJ11

The price of the orange candle is $1.60π, where π is approximately equal to 3.14.

The price of the orange candle can be determined by calculating the volume of the cone-shaped candle and multiplying it by the price per cubic inch.

The volume of a cone can be calculated using the formula:

Volume = (1/3) * π * r^2 * h

Given that the radius (r) is 1 inch and the height (h) is 12 inches, we can substitute these values into the formula:

Volume = (1/3) * π * 1^2 * 12

Volume = (1/3) * π * 1 * 12

Volume = 4 * π

The volume of the cone-shaped orange candle is 4π cubic inches.

To find the price of the candle, we multiply the volume by the price per cubic inch:

Price = Volume * Price per cubic inch

Price = 4π * $0.40

Price = $1.60π

Therefore, the price of the orange candle is $1.60π, where π is approximately equal to 3.14.

Learn more about price here

https://brainly.com/question/29023044

#SPJ11

Answer:

Semi circle:39.26990817

Trapezoid:27

Triangle:15

Figure:81.26990817

I personally think this is F,unless I did it wrong,was I supposed to multiply the shapes together or add the areas of the shapes together? Even if I multiplied, it would still not be listed....

Step-by-step explanation:

Answer:

F) not listed

Step-by-step explanation:

We can break this down into 3 separate shapes

top = semi-circle

middle = trapezoid

bottom = triangle

the area formulas for each are as follows

semi-circle = (1/2)pi r^2 : r = radius

trapezoid = (1/2)h(a+b) : h = height a = top base b = bottom base

triangle = (1/2)bh : b = base h =height

top calculation:

(1/2)pi(5)^2 = (1/2)pi(25) = 39.23

middle calculation:

(1/2)(3)(10+8) = 27

bottom calculation:

1/2(8-1.5-1.5)(6) = 15

39+27+15 = 81 in^2

14 and 21 and 18

is three of them

Answer: 6/7 (2/2) = 12/14

(3/3) = 18/21

(4/4) = 24/28

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ1

The probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

When rolling four dice, each die can have six possible outcomes, ranging from 1 to 6. To find the probability of obtaining a sum of 18, we need to determine the number of favorable outcomes. In this case, we are interested in the three highest values summing up to 18.

To calculate this, we can use combinations. The three highest values that can result in a sum of 18 are 6, 6, and 6. We can choose these three values from the four dice in only one way. The remaining die can have any value from 1 to 6, giving us six possible outcomes.

Therefore, the number of favorable outcomes is 1, and the total number of possible outcomes is 6^4 (since each die has six possible outcomes and we are rolling four dice). Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability: 1/(6^4) ≈ 0.00077, or approximately 0.077%. Thus, the probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values is very low.

Learn more about outcomes here:

https://brainly.com/question/32511612

#SPJ11

Answer:

all angles are congruent, the smaller is just a dilation, but the angles are all congruent

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Yes.

all the internal angles on both similar triangle are congruent.