order the numbers from least to greatest 1 1/3 2 1/3 -1/2 -3.7 1.6 and -1.9

Answer:

second marble is blue and  first marble is white is  [tex]\frac{1}{7}[/tex]

Step-by-step explanation:

given data

two marbles

box = 1 blue, 3 white, 2 green, and 2 red marbles

solution

we get here second marble is blue and given that the first marble is white

= P(3c1 × 1c1) ÷ P(3c1 × 7c1)          ................................................1

= 1c1 ÷ 7c1

= 1 ÷ 7

so second marble is blue and  first marble is white is  [tex]\frac{1}{7}[/tex]

Step-by-step explanation:

amount left for the money to reach $40

=40-3.75

=36.25

using a method of proportion,

If $4 : 1 hour,then

$36.25 : ?

if more, less divides.

= 36.25 / 4 ×1

=36.25/4

=9.0625 approximately 9 hours

Roberto should work for 6.25 hours to earn the money he needs, solved using linear equations in one variable.

Linear equations in one variable are a relation between two algebraic expressions, involving not more than one variable.

The expressions are a combination of terms and terms are combinations of variables and constants. These terms are separated by mathematical operations.

In the question, we are informed that Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hours at $3.75 an hour. He is now working at a job that pays $4.00 an hour.

We are asked how many hours he needs to work to earn the money he needs.

First, we calculate how much he earned from working in the first place.

He worked there for 4 hours at $3.75 an hour.

Therefore, his total income = Time * Income per unit time = $ (4 * 3.75) = $ 15.00.

Now, we calculate how much more money he needs.

More money needed = Total money needed - Money already earned,

or, more money needed = $40 - $15 = $25.

Therefore, Roberto works in second place to earn $25.

The rate at which he was working = $4 per hour.

We assume the time he worked for was x hours.

Therefore, his total income = Time * Income per unit time,

or, His total income = $ (x*4) = $4x.

As his total requirement is $25, we equate his earnings to his requirement to get the required linear equation in one variable:

4x = 25.

We find the hours he will work for, by solving this equation, by dividing both sides by 4:

4x/4 = 25/4,

or, x = 6.25.

Therefore, Roberto should work for 6.25 hours to earn the money he needs, solved using linear equations in one variable.

Learn more about linear equations in one variable at

https://brainly.com/question/1640242

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Answer:

28.26

Step-by-step explanation:

The area of the circle with radius XT is πr² = 25π (the radius is 4 + 1 = 5) and the area of the circle with radius XP is 16π so the shaded area is 25π - 16π = 9π = 9 * 3.14 = 28.26.

Answer:

Step-by-step explanation:

x + 40/100 × x = 60

x + 40/100x = 60

x + 0.4x = 60

Combine like terms.

1.4x = 60

Divide both sides by 1.4.

x = 42.857143

x = 300/7

Answer:

The average airspeed of the two planes is [tex]406.25\; \rm mph[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denotes the average airspeed (in miles-per-hour) of the two planes. Let [tex]y[/tex] denote the average speed of wind (also in miles-per-hour) along that route.

John is travelling against the head wind. Therefore, his ground speed would be the difference between his airspeed and the speed of the wind. That is:

[tex]\begin{aligned} & v(\text{John, ground speed})\\ =& v(\text{John, airspeed}) - v(\text{wind speed}) \\=& x - y\end{aligned}[/tex].

On the other hand, Debby is travelling in the tail wind. Assume that Debby and John are taking the same route but in the opposite directions. The ground speed of Debby would be the sum of her airspeed and the speed of the wind:

[tex]\begin{aligned} & v(\text{Debby, ground speed})\\ =& v(\text{Debby, airspeed}) + v(\text{wind speed}) \\=& x + y\end{aligned}[/tex].

Keep in mind that:

[tex]\text{Distance Traveled} = \text{Average Speed} \times \text{Time}[/tex].

This equation can help relate time and ground speed to distance.

John traveled [tex]2100[/tex] miles in [tex]5.6[/tex] hours at a ground speed of [tex](x - y) \; \rm mph[/tex]. Therefore:

[tex]5.6\; (x - y) = 2100[/tex].

Similarly, Debby traveled [tex]2100[/tex] miles in [tex]4.8[/tex] hours at a ground speed of [tex](x + y)\; \rm mph[/tex]. Therefore:

[tex]4.8\; (x + y) = 2100[/tex].

Combine these two equations to obtain:

[tex]\left\lbrace\begin{aligned}& 5.6\; (x - y) = 2100 \\ & 4.8\; (x + y) = 2100\end{aligned}\right.[/tex].

Solve this system of equations for [tex]x[/tex] and [tex]y[/tex]:

[tex]\left\lbrace\begin{aligned}&x = 406.25 \\ &y = 31.25\end{aligned}\right.[/tex].

In other words:

Answer:

Answer is 4

Step-by-step explanation:

It is not 1 or 2 right off the bat

3 is not right

Answer:

25%

Step-by-step explanation:

Total cards = 4

The number 4 = 1

p(4) = 1/4

In %age:

=> 25%

Answer:

25%

Step-by-step explanation:

There is only 1 four card from the 4 cards.

1 card out of 4 cards.

1/4 = 0.25

P(4) = 25%

Answer:

Step-by-step explanation:

Given the system of equations y=30x+10 y=and 5x²−25, since both functions are written in terms of  a varaible y, we will equate the two functions to gether and firt alculate the value of x as shown;

30x+10 =  5x²−25,

Equating the expression to zero;

5x²−25-30x-10 = 0

5x²−30x-25-10 = 0

5x²−30x-35 = 0

Dividing through by 5;

x²−6x+7 = 0,

On factoring;

x = -b±√b²-4ac/2a

a = 1, b = -6 and c = 7

x = 6±√(-6)²-4(1)(7)/2(1)

x = 6±√36-28/2

x = 6±√8/2

x = 6±2√2/2

x = 3±√2

x = 3+√2 or 3-√2

Substituting x = 3+√2 into y = 30x+10

y = 30(3+√2 ) + 10

y = 10(3(3+√2)+1)

y = 10(9+1+3√2)

y = 10(10+3√2)

Answer: The 1 because it’s value is The Thousands place.

Each Value Broken down and then Added together:

1000 + 500 + 60 + 7 = 1567

As you can visually see here the 1 is the greatest value number.

Answer:1

Step-by-step explanation: 1 takes place in the thousands place which is greater than 5 (hundreds) , 6 (tenths) , and 7 (ones)

Answer:

Option D is correct.

This statement shows the use of relative difference.

Step-by-step explanation:

Taking each of the answer choices one at a time

- Absolute Change

This expresses the exact value of alterations or modifications that happen to a particular quantity. It gives exactly how much the value of the same quantity has changed at different times or conditions. The statement in this question compares two different quantities (price of new CD burner at two different stores), hence it doesn't give the absolute change.

- Absolute Difference

This expresses the exact value of the difference between two quantities. The statement in the question on its own cannot give us the absolute value of the difference between the cost of new CD burner at the two stores being compared. Hence, this isn't the correct answer.

- Relative Change

Thìs expresses how much a particular quantity has changed with respect to its value at some other period of time or under some other condition(s). The question in this statement compares two different quantities and isn't the right answer.

- Relative Difference

This expresses the difference between two quantities wit respect to or relative to one of the two quantities being compared. This is exactly what the statement in the question expresses by saying that the new CD burner costs 12% less at the new electronics store.

It compares the telative difference of the new CD burner at the new and old electronics store.

Hope this Helps!!!

Answer:

A lies along the positive x-axis and B lies along negative x - axis .

Step-by-step explanation:

They tell us that we have two vectors, A and B. And they give us a series of conditions for this, now, what would be the correct possibility.

A lies along the positive x-axis and B lies along negative x - axis .

This is because when both vectors will be in x axis but opposite to each other, then the angle between them will be 180 ° and cos180 ° is -1.

Answer:

Null hypothesis:[tex]p \leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing we got:

[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]  

Step-by-step explanation:

Information given

n=344 represent the random sample taken

X=176 represent the anumber of boys babies

[tex]\hat p=\frac{176}{344}=0.512[/tex] estimated proportion of boys babies

[tex]p_o=0.5[/tex] is the value that we want to check

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypotheis to verify

We want to check if the true proportion of boys is less than 50% then the system of hypothesis are .:  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing we got:

[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]  

Answer:

p= 0.5

p>0.5

Step-by-step explanation:

Answer:

12.2%

Step-by-step explanation:

82 · [tex]\frac{100-x}{100}[/tex] = 72         When multiplied by a certain percent we get 72  

82(100-x) = 7200  

                            100(A whole as you may say) - *a percent* = the markdown

8200-82x=7200

82x = 1000

x ≈ 12.2

Tell me if you need further explanation

Answer:

12.20%

Step-by-step explanation:

$82 went down to $72.

$82 - $72 = $10

The price went down $10.

Now we find the percent that $10 is of $82.

percent = part/whole * 100%

percent = 10/82 + 100% = 12.195%

Answer: 12.20%

Answer:

75000lb

Step-by-step explanation:

There are 25000 residents. Times it by the 3lb of waste per person and that's how much waste is made from 25000 residents.

Answer:

Step-by-step explanation:

Answer:

Convergent. The sum is 2.

Step-by-step explanation:

First let's find the rate of the series. We can find it by dividing one term by the term before:

[tex]0.5 / 1 = 0.5[/tex]

[tex]0.25 / 0.5 = 0.5[/tex]

[tex]0.125 / 0.25 = 0.5[/tex]

So the rate of the series is 0.5. The series is convergent if the rate is between 0 and 1, so this series is convergent.

We can find its sum with the following equation:

[tex]S = a_1 / (1 - r)[/tex]

Where a_1 is the first term and r is the rate.

So we have that:

[tex]S = 1/ (1 - 0.5)[/tex]

[tex]S = 2[/tex]

The sum of the series is 2.

Answer:

The probability of "heads" is ½ and the probability of "tails" is ½.

This means that if we flip this coin several times, we expect it to land on "heads" for half of the time.

If we flip the coin 4000 times, we would expect it to land on "heads" 2000 times, because ½ × 4000 = 2000

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

Answer:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean [tex]\mu = 0.39[/tex] and standard deviation [tex]s = 0.0488[/tex]

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.39, n = 100[/tex]

Then

[tex]s = \sqrt{\frac{0.39*0.61}{100}} = 0.0488[/tex]

By the Central Limit Theorem:

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean [tex]\mu = 0.39[/tex] and standard deviation [tex]s = 0.0488[/tex]

Answer:

Hey there!

Slope of the line: [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope of the line: [tex]\frac{12}{4}[/tex], which is equal to 3.

Point slope form: y2-y1=m(x2-x1)

Point slope form: y-7=3(x-5)

Y intercept form: y-7=3x-15

Y intercept form: y=3x-8

Let me know if this helps :)

Answer:

11/21

Step-by-step explanation:

There are 10 even numbers that lie between 1 and 21 (2,4,6,8,10,12,14,16,18, and 20). These 10 balls, plus the 5-ball equals a total of 11 balls that could get picked. Therefore, the probability of picking one of these balls is 11/21.

Answer:4

Step-by-step explanation:

9-5 = 4

hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

4

Step-by-step explanation:

let the question mark be denoted as x.

x+5=9

x=9-5

x=4.

Answer:

30 feet

Step-by-step explanation:

We can use ratios to answer this question:

8 foot shadow: 20 feet high

Therefore if we multiply both sides by 1.5

12 foot shadow: 30 feet high

Answer:

Hello please your question is in-complete attached is the complete question

degree of freedom = -62.90 ( e )

Step-by-step explanation:

The formula for calculating the F-statistic/test statistic is

test - statistic  = Coef ( LBW) / SE Coef ( LBW )

                       = -0.72399 / 0.01151

                       = - 62.90

the degree of freedom the F-statistic has = -62.90

F-statistic test is any statistical test in which the test statistic has an F-distribution under the null hypothesis. the value of the test can be gotten from running an ANOVA test or regression analysis on the statistical models

Using the definition of degrees of freedom, it is found that the F-statistic has 63 df.

When a hypothesis is tested, the number of degrees of freedom is one less than the sample size.

In this problem, the sample size is of n = 64.

Hence:

df = n - 1 = 64 - 1 = 63

The F-statistic has 63 df.

A similar problem is given at https://brainly.com/question/16194574

Answer:

21cm; 28cm; 14cm

Step-by-step explanation:

There is no info in the problem/s  text which one of the triangle's  side is 21 cm. That is why we have to try all possible variants.

Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.

Let O is AK and BM cross point.

Have a look to triangle ABM.  AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)

=> triangle ABM is isosceles => AB=AM  (1)

1. Let AC=21   So AM=21/2=10.5 cm

So AB=10.5 cm as well.  So BC= P-AB-AC=63-21-10.5=31.5 cm

Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill.  AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)

2. Let AB=21 So AM=21 and AC=42 .So  BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.

3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm

We know (1) that AB=AM so AC=2*AB.  So AB+AC=AB+2*AB=3*AB

=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.

Let check if this triangle exists ( if the triangle's inequality fulfills).

BC+AB>AC    21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.

This variant is the only possible solution of the given problem.

Answer:

x + 3 greater than or equal to 8 would be the solution

Answer:

its D

Step-by-step explanation:

2020 edge have a nice day!!!!!!!! <3

Answer:

[tex]sinx=-\dfrac{12}{13}[/tex]

[tex]cosx=-\dfrac{5}{13}[/tex]

[tex]cotx=\dfrac{5}{12}[/tex]

Step-by-step explanation:

Given that:

[tex]\dfrac{12}{5} = tan(x)[/tex]

[tex]\pi <x < 3\pi/2[/tex]

i.e. x is in 3rd quadrant. So tan is positive.

To find:

sin(x), cos(x), and cot(x).

Solution:

Given that:

[tex]\dfrac{12}{5} = tan(x)[/tex]

We know by trigonometric identities that:

[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]

Comparing with the given values:

[tex]\theta=x[/tex]

Perpendicular = 12 units

Base = 5 units

Using pythagorean theorem, we can find out hypotenuse:

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]\Rightarrow Hypotenuse=\sqrt{12^2+5^2}\\\Rightarrow Hypotenuse=\sqrt{169} = 13 units[/tex]

We can easily find out the values of:

[tex]sinx, cos x\ and\ cot x[/tex]

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sinx =\dfrac{12}{13}[/tex]

Given that x is in 3rd quadrant, sinx will be negative.

[tex]\therefore sinx =-\dfrac{12}{13}[/tex]

[tex]sin\theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]cosx =\dfrac{5}{13}[/tex]

Given that x is in 3rd quadrant, cosx will be negative.

[tex]\therefore cosx =-\dfrac{5}{13}[/tex]

[tex]cot\theta = \dfrac{1}{tan\theta}[/tex]

Given that x is in 3rd quadrant, cotx will be positive.

[tex]cotx = \dfrac{1}{\dfrac{12}{5}} = \dfrac{5}{12}[/tex]

Answer: 3 1/3 hours

Step-by-step explanation:

Tina rate: 1/5 job/hr

Together rate: 1/2 job/hr

Tyra rate: 1/x job/hr

---------

Equation:

rate + rate = together rate

1/5 + 1/x = 1/2

2x + 10 = 5x

3x = 10

x = 3 1/3 hrs (time for Tyra to do the job alone)

Answer:

3 1/3 hours

Step-by-step explanation:

The Answer is 171 kg m/s

Answer:

me too

Step-by-step explanation: