Mathematics College

Which of the following are equivalent to 85%? 0.085, 0.85, 85/100, 19/20 ? chose all that apply?

Answers

Answer 1

.85 and 85/100 are the only ones within the question that are equivalent to 85%.

Related Questions

0/17 into a decimal using long division

Answers

The decimal would be 0 because it doesn't have anything to give.

Brainliest please?

0 divided by 17 would result in 0. Therefore, not resulting in a decimal.

A Punnett square is used to _______.

predict the genotypic and phenotypic probabilities of possible offspring

determine if a trait runs in a family

track inherited traits through many generations

identify organisms that are carriers of a specific trait

Answers

Hello,

The answer is option A "predict the genotypic and phenotypic probabilities of possible offspring".

Reason:

A Punnett square is used to determine (predict) the genotype, and phenotype of a organism. Phenotype is the physical features of a organism fur, ears, nose, etc.... Genotype is most likely the height, eye color, etc....

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Final answer:

A Punnett square is used to predict the genotypic and phenotypic probabilities of possible offspring. It helps in illustrating how combinations of alleles might come together during fertilization. However, it cannot determine if a trait runs in a family or track inherited traits through generations.

Explanation:

A Punnett square is a common tool used in genetic studies to predict the genotypic and phenotypic probabilities of possible offspring when the genetic information of both parents is known. It is not used to determine if a trait runs in a family, track inherited traits through many generations, or identify organisms that are carriers of a specific trait. A Punnett square can help illustrate how different combinations of alleles might come together during fertilization and what traits these combinations could produce. For instance, if both parents carry a recessive trait, a Punnett square can show the possibility of their offspring inheriting that trait.

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Suppose x follows a distribution with density function: \begin{equation} f\left(x\right) = \left\{\begin{array}{rl} c\left|x - 2\right|,& 0 \le x \le 3\\ 0, & \text{otherwise}\\ \end{array}\right. \end{equation} (note: for this question you can enter your answer in decimals as well as fractions.) what must the value of c be so that f(x) is a probability density function? tries 0/5 find the cumulative distribution function of f(x) for $ 2 \leq x \leq 3 $. [ the accepted form of answer is an algebraic expression in terms of "x". all algebraically equivalent expressions to the correct answer are accepted. write product as *
e.g 2*3 or 3*x, index/power as superscript,
e.g 2^3 for 2 raised to the power 3, the exponential function as exp(x), the logarithm function as log(x) (and not as ln(x)) ] tries 0/5 find the median of the probability distribution of x tries 0/2 find e(x) tries 0/5 find the cumulative distribution function of f(x) for $ 0 \leq x \leq 2 $. [ the accepted form of answer is an algebraic expression in terms of "x". all algebraically equivalent expressions to the correct answer are accepted. write product as *
e.g 2*3 or 3*x, index/power as superscript,
e.g 2^3 for 2 raised to the power 3, the exponential function as exp(x), the logarithm function as log(x) (and not as ln(x)) ]

Answers

The question is a bit of a mess, so here's an attempt at parsing out the relevant information.

Given the PDF of a random variable [tex]X[/tex]:

[tex]f_X(x)=\begin{cases}c|x-2|&\text{for }0\le x\le3\\0&\text{otherwise}\end{cases}[/tex]

Find [tex]c[/tex], the CDF, the median of [tex]X[/tex], and the expectation of [tex]X[/tex] (in no particular order).

For [tex]f_X(x)[/tex] to be valid PDF, we require

[tex]\displaystyle\int_{-\infty}^\infty f_X(x)\,\mathrm dx=1[/tex]

Note that

[tex]|x-2|=\begin{cases}x-2&\text{for }x\ge2\\2-x&\text{for }x<2\end{cases}[/tex]

We have

[tex]\displaystyle\int_{-\infty}^\infty f_X(x)\,\mathrm dx=c\int_0^3|x-2|\,\mathrm dx=c\int_0^2(x-2)\,\mathrm dx+c\int_2^3(2-x)\,\mathrm dx[/tex]
[tex]\implies\dfrac{5c}2=1\implies c=\dfrac25[/tex]

The CDF is defined by

[tex]F_X(x)=\mathbb P(X\le x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt[/tex]

To find the CDF, we compute the integral above for the four possible cases:

[tex]x<0\implies\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=0[/tex]
[tex]0\le x<2\implies\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=c\int_0^x|t-2|\,\mathrm dt=\frac{4x-x^2}5[/tex]
[tex]2\le x<3\implies\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\frac45+c\int_2^x|t-2|\,\mathrm dt=\frac45-c\int_2^x(2-t)\,\mathrm dt=\frac{8-4x+x^2}5[/tex]
[tex]x\ge3\implies\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=1[/tex]

So the CDF is

[tex]F_X(x)=\begin{cases}0&\text{for }x<0\\\\\dfrac{4x-x^2}5&\text{for }0\le x<2\\\\\dfrac{8-4x+x^2}5&\text{for }2\le x<3\\\\1&\text{for }x\ge3\end{cases}[/tex]

The median is the value [tex]M[/tex] such that [tex]\mathbb P(X\le M)=\dfrac12[/tex]. From the PDF, we can gather that the median must fall somewhere in [tex]0\le x\le2[/tex]. The CDF then tells us that

[tex]\mathbb P(X\le M)=F_X(M)=\dfrac12=\dfrac{4M-M^2}5\implies M=2-\sqrt{\dfrac32}\approx0.775[/tex]

The expected value of [tex]X[/tex] is given by

[tex]\mathbb E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx[/tex]

We have

[tex]\mathbb E[X]=\displaystyle\frac25\int_0^2x(x-2)\,\mathrm dx+\frac25\int_2^3x(2-x)\,\mathrm dx=\frac{16}{15}[/tex]

In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are 48 charter schools in the county. How many alternative schools are in the county?

Answers

1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:

- The number of charter schools is 4 less than twice the number of alternative schools.
- There are 48 charter schools in the country.

2. So, you have:

x=2y-4 (i)

x=48 (ii)

3. Then, when you substitute x=48 into the equation (i), you obtain:

x=2y-4
48=2y-4

4. Now, you must clear "y, as below:

48+4=2y
2y=52
y=52/2
y=26

How many alternative schools are in the county?

The answer is: There are 26 alternative schools.

Which of the following is the inverse of y=6^x ?
A. Y=log 6x
B. Y=Log x6
C. YLog1/6X
D. Y=Log 6. 6x

Answers

we have that
y=6^x
we know
to find the inverse
replace x with y and y with x,
x=6^y

we know that
y=logb(x)----------> x=b^y

therefore
x=6^y---------------> y=log6(x)

the answer is the option A.) Y=log 6x

y=6^x
log y = log 6^x
log y = x log 6
(log y) / (log 6) = x
Inverse: y = (log x) / (log 6)

Latrell is comparing two job opportunities one job will pay $12 an hour and he will work 40 hour a week. The other one pays an annual salary of $22,00 and he will work 45 hours a week. which job pays more?

Answers

To compare these two jobs, you need to have a common point. In this problem, you have to solve for the annual salary of the first job and compare it with the annual salary of the second job which is already given.

$12 per hour x 40 hours per week x 48 weeks in a year = $23,040

First job’s annual salary is $23,040

Second job’s annual salary is $22,000

Therefore, the job which pays $12 an hour pays more.

Latrell will earn more at the job that pays $12 per hour for a 40-hour workweek, which totals $24,960 per year, compared to the annual salary of $22,000 for a 45-hour workweek.

To determine which job pays more between an hourly wage job and an annual salary job, we need to calculate the total annual income for each option.

For the hourly wage job at $12 per hour for 40 hours a week:

$12/hour times 40 hours/week = $480/week$480/week times 52 weeks/year = $24,960/year

For the annual salary job of $22,000 for 45 hours a week, the total annual income is:

$22,000/year (no further calculation is needed)

Comparing the two annual incomes:

Hourly wage job = $24,960/yearAnnual salary job = $22,000/year

Therefore, the job that pays $12 per hour for 40 hours a week offers a higher annual income than the job with an annual salary of $22,000 for 45 hours a week.

A lot of 100 semiconductor chips contains 15 that are defective. three chips are selected at random from the lot without replacement. what is the probability that the third chip is defective?

Answers

D=event that chip selected is defective
d=event that chip selected is NOT defective

Four possible scenarios for the first two selections:
P(DDD)=15/100*14/99*13/98=13/4620
P(DdD)=15/100*85/99*14/98=17/924
P(dDD)=85/100*15/99*14/99=17/924
P(ddD)=85/100*84/99*15/98=17/154

Probability of third selection being defective is the sum of all cases,
P(XXD)=P(DDD)+P(DdD)+P(dDD)+P(ddD)
=3/20

Chord AC intersects chord BD at point P in circle Z.

AP=3.5 in.
DP=4 in.
PC=6 in.

What is BP?

Enter your answer as a decimal in the box.

Answers

The answer to this is 5.25.

Answer: The value of BP is 5.25.

Step-by-step explanation:

Here's why:

Find the ratio between the two different groups of line segments. If you do it in decimal or fraction, it's the same. So, 4/6 = 0.666666667. Then you must find the number that when 3.5 is divided by it, gives you 0.666666667. So that number is 5.25.

Point P (-3,-1) is the preimage. Point P’(3,-1) is the image after a reflection is performed. Give the line of reflection.

Answers

The perpendicular bisector of these two points is the vertical line x = 0.

x = 0 is the line of reflection.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high?

Answers

1. You have that the rate is10 ft³/min. Then:

dV/dt=10

2. The formula for calculate the volume of a cone, is:

V=1/3(πr²h)

"r" is the radius and "h" is the height.

3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:

r=diameter/2

diameter=3h

r=3h/2

4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:

V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12

5. Therefore:

dV/dt=(9πh²/4)dh/dt

h=12

dV/dt=10

6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:

dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)

7. Finally, you obtain:

dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min

Final answer:

The problem involves the concept of related rates in Calculus. By using the relationship between the height and radius of the cone and the rate of change of the volume, we set up a differential equation. Upon solving, we find the rate at which the height of the pile changes is 5/(18π) feet per minute when the pile is 12 feet high.

Explanation:

The subject matter of this question is related to Calculus, specifically the concept of related rates. In this scenario, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. Here, the given rate is the rate of change of the volume of the sand pile. The diameter of the base of the cone is approximately three times the altitude, which gives the relationship between the height and the radius of the cone: r=h/3. The student is asked to find at what rate the height of the pile is changing when the pile is 12 feet high.

First, let's recall the formula for the volume of a cone, which is V=(1/3)*π*r²*h. Based on the relationship between the radius and the height, we can substitute r with h/3. Therefore, the volume V=(1/3)*π*(h/3)²*h = (1/27)*π*h³. By differentiating this equation with respect to time t, we get dV/dt = (1/9)*π*h²*dh/dt.

We are given that dV/dt is 10 cubic feet per minute, and we want to find dh/dt when h = 12 feet. Substituting these values into the differentiated equation, we get 10 = (1/9)*π*(12²)*dh/dt. Solving this for dh/dt, we find that dh/dt = 10 / [(1/9)*π*(12²)] = 5/(18π) feet per minute.

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Rob cuts a 15-foot wire into 8 equal pieces. About how long is each piece ? 1.) Between 1 and 2 feet 2.) Between 3 and 4 feet 3.)Between 2 and 3 feet 4.) Between 2 and 3 feet

Which one is the answer?

Answers

Since 15/8=1.875, the answer would be #1 because 1.875 is more than 1 but less than 2

I don’t know what todo someone help me

Answers

Try this solution (this is one way):
1. The area of the shaded region is the area of the shaded triangle.
2. SΔ=0.5*(14-8)*8=0.5*6*8=24 m².

The Silver Town people went to a fancy restaurant after the big event. Grammy gave the server a $15 tip. If the tip was 20% of the cost of dinner, how much was dinner? Choose Answer:A.$60 B.$45 C.$75 D.$50

Answers

The sender is $75 because 75X.20 is 15 so 75 is the answer

Team tool Bella canoed 15 3/4 miles in 5 1/4 hours. What was their average rates of speed in miles per hour?

Answers

you would divide the distance by the time and then you would get 3 because 15 3/4 divided by 5 1/4 in 3

Answer:

3 miles per hour

Step-by-step explanation:

Using speed formula:

[tex]\text{Speed} = \frac{\text{Distance}}{\text{Time}}[/tex]

As per the statement:

Team tool Bella canoed 15 3/4 miles in 5 1/4 hours.

⇒[tex]\text{Distance} = 15\frac{3}{4} = \frac{63}{4}[/tex] miles and

[tex]\tetx{Time} = 5\frac{1}{4} = \frac{21}{4}[/tex] hours

Using speed formula we have;

[tex]\text{Speed}= \frac{\frac{63}{4} }{\frac{21}{4}} = \frac{63}{4} \cdot \frac{4}{21} = \frac{63}{21}[/tex]

Simplify:

[tex]\text{Speed} =3[/tex] miles per hour

Therefore, their average rates of speed in miles per hour is, 3 miles per hour

convert 0.03 into a fraction

Answers

3/100 is one way to put it

Hello!

0.03 converted to a fraction would be [tex] \frac{3}{100} [/tex]

Enjoy.
~Isabella

Jordan places two boards end to end to make one shelf. The first one is 47/100 meter long. The second board is 5/10 meter long. What is the total length, in meters, of the two boards

Answers

The total length of the two boards will be given by:
Total=(length of board A)+(length of board B)
=47/100+5/10
making the fractions have the same denominator we multiply the numerator and denominator of the second fraction by 10, this will giv us the expression of:
47/100+50/100
=97/100 m

Final answer:

To calculate the total length of the boards, the first board at 47/100 meters (0.47 meters) is added to the second board at 5/10 meters (0.5 meters), resulting in a total length of 0.97 meters.

Explanation:

To find the total length of the two boards placed end to end, we simply add the lengths of the individual boards. The first board is 47/100 meters long, and the second board is 5/10 meters long.

The second board's length can be simplified as 5/10 is equivalent to 1/2, which is 0.5 in decimal form. Adding the lengths together, we get:

Length of board 1: 47/100 meters (or 0.47 meters)
Length of board 2: 5/10 meters (or 0.5 meters)

Total length = 0.47 meters + 0.5 meters
Total length = 0.97 meters

Therefore, the total length of the two boards when placed end to end is 0.97 meters.

Find the mode for the following distribution. Number Frequency 220 6 230 7 240 3 250 1 260 0 270 1 No mode 220 230 260 250 and 270

Answers

They do not occur more frequently than any other value in the distribution, the values 220, 260, 250, and 270 are not modes.

How to finding the value that appears the most frequently will help us determine the mode of a distribution.?

Distributed mode is the most common value. From the given frequency distribution we can see that both the values 220 and 230 occur with the highest frequencies of 6 and 7 respectively. Therefore, both 220 and 230 are modes of this distribution.

that the values 260, 250, and 270 are not modes, as they all have frequencies of 0 or 1. Also, the No Mode value is not a valid value in the distribution, indicating that there is no single mode value.

The values 220, 230, 240, 250, 260, and 270 all appear six times in this distribution, seven times each for values 230, seven times for values 240, one for value 250, zero for values 260, and one for value 270.

As a result, the value with the highest frequency—230—is the mode. Therefore, 230 is the mode for this distribution.

Due to the fact that they do not occur more frequently than any other value in the distribution, the values 220, 260, 250, and 270 are not modes.

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A flagpole 3 meters tall casta a shadow of 4 meters long at the same time a nearby building casts a shadow of 62 meters long. How tall is the building

Answers

To answer this question, you will set up a proportion of the flagpole actual height to the height of the shadow: 3m/4m. Then set up an equivalent ratio of x meters (height of the building)/62m (height of the shadow of the building). I would use cross products to solve this proportion. Please see the attached picture to see the work. The final answer is that the building is 46.5 meters tall.

Can you square a negative number

Answers

Yes, you can square a negative, however it can only give you a positive answer

however, you cannot root a negative number (if that was what you wanted)

hope this helps

Yes, you can square a negative number; however, the product will be a positive integer as a negative multiplied by a negative will result in a positive.

For example;
(-2) * (-2) = 4.

Edit: Seeing that you meant to square root a negative number-- no, you cannot square root a negative number as you cannot multiply a negative number by a negative number to get a negative product; it will always be positive.

I hope this helps!

(1+(0.065÷365))^365t=4

Answers

This is the future value quadrupled in t years at an annual interest rate of 6.5% compounded daily. We need to find t.

1*(1+0.065/365)^(365t)t=4
take log on both sides,
365t(log(1+0.065/365)=log(4)
=>
365t=log(4)/log(1+0.065/365)
t=(log(4)/log(1+0.065/365))/365
=(1.38629/.000178066)/365
=21.33 years

Check with the rule of 69, applicable to continuous compounding (an approximation to current problem) to double money, it take 69/interest rate in % years.
=69/6.5
=10.62 years
To double twice (quadruple), it takes twice 10.62
=21.24 years, not that far from 21.33 that we got earlier.

lotA has 4,000 spaces. Today Lot A has 2,500 cars in Lot A. Lot B has 2,000 spaces. If both lots have the same ratio of cars to spaces, how many cars are in parking lot B

Answers

Lot B has half the spaces of lot A, so will have half the cars: 1,250.

Can someone help me with these two questions?

Answers

1. use 6,8, 10 and then 7, 9,13

2. A=30, B= 70, b = 4

Hey guys 25 points!! to help me out
In △DEF, DF = 16 and m∠F=45. Find the length of a leg. Leave your answer in simplest radical form.

Answers

the answer is 8 root 2

we have here an isosceles right triangle because there is a right angle and a 45 degree angle, and the m<D=45 as well
the hypotenuse is 16
we use the formula c^2=a^2+b^2
now we have a=b because the triangle is isosceles
c^2=2(a^2)
256=2(a^2)
256/2=a^2
128=a^2
a= 11.31 and b=11.31

The triangles are isosceles and ΔABC : ΔJKL. What is the length of J-L?

5 cm

7.5 cm

8 cm

10 cm

Answers

You know ABC is isoceles, so AB = BC and BC = 2.5 cm.
That means that the scale factor is KL/BC = 2
So JL = 2AC = 8 cm

Answer:

Step-by-step explanation:

Solve 5+h>7 Graph the solution.

Answers

5 + h > 7

Subtract 5 from both sides

h > 2

What are the values of a and b? Please explain!

Answers

For this case what you should do is follow the following steps:
Step 1:
Pythagorean theorem to the big triangle.
Step 2:
Pythagorean theorem the small triangle.
Step 3:
Solve the system of two equations with two unknowns.
Answer:
option 1.
See attached image.

Brad has two lengths of copper pipe to fit together one has a length of 2 5/12 feet and the other has a length of 3 7 12 ft how many feet of Pop does he have

Answers

To find the total length of the two copper pipes, we need to add them together.

2 5/12 + 3 7/12 = 5 12/12

Since 12/12 = 1 or a whole, we can simplify this further.

5 12/12 = 6

Hope this helps!

what number multiplied by itself 3 times equals to 125?

Answers

Hello,

Here is your answer:

The proper answer to this question is "5".

Here is how:

All you have to do divide 125 by 3!

5*5*5=125

Exponent form:

=5^3

Your answer is 5!

If you need anymore help feel free to ask me!

Hope this helps!

Final answer:

The number that when multiplied by itself 3 times equals 125 is 5.

Explanation:

To find the number that when multiplied by itself 3 times equals 125, we need to find the cube root of 125. The cube root of 125 is 5, so the number is 5.

Work out the area of rectangle APQR.

Answers

The rectangle diagonally into 2 right triangles: one with base 5 and height 13, another with base 12 and height 5. Doubling their areas (5*13+12*5) gives 180!

The area of a rectangle with a base of 5 cm and a height of 13 cm is indeed 180 square centimeters..

Here's a simpler explanation:

Imagine slicing the rectangle diagonally into two right triangles. One triangle has base 5 cm and height 13 cm. The other triangle has base 12 cm and height 5 cm (using Pythagoras to find the missing side).

Now, the area of the rectangle equals the sum of the areas of these two triangles. Adding their areas (5 * 13 + 12 * 5) gives us 65 + 60, totaling 180 square centimeters.

Therefore, the true area of the rectangle is 180 square centimeters, not 65 or any multiple of the individual base and height alone. This hidden relationship between the diagonal and sides creates the surprising answer.

Can you explain how you got it as well?

Answers

Let "a" represent the percentage of acid in the mixture.
.. 15*40% +25*20% = (15+25)*a
.. 6 +5 = 40a
.. a = 11/40 = 27.5% . . . . . . selection C

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