a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?​

\(\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}\)

Answer:

It is:475.19.

HOPE THIS HELPED

Answer:

475.19.

Step-by-step explanation:

The hundredths place is two places to the right of the decimal, or (0.01).

In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:

475.189 --> 475.19.

Answer: 12

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer:

C. I,II,III

Step-by-step explanation:

Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.

expected value is 2.96

it comes from the formula

E(x) is the expected value

x is the payout

p(x) is the probability

Graphs are used to represent real life situations

The x and the y coordinates of the graph are used to represent the following variables

This means that:

Point (1, 0.75) represents 1 cookie costs $0.75 and point (0,0) represents 0 cookie costs $0

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Answer: y=6x-1

Step-by-step explanation:

y=6x-1

x represents the time luke has been riding(hours) and the y represents the distance he has travelled (miles)

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

$7.27

Step-by-step explanation:

3.18 + 1.25 + 2.84 = 7.27

Answer:

4.29  (nearest hundredth)

Step-by-step explanation:

Given data set:

To find the mean absolute deviation:

Step 1

Calculate the mean:

\(\textsf{Mean}=\dfrac{15+5+12+14+18+16+4}{7}=12\)

Step 2

Calculate the absolute deviations - how far away each data point is from the mean using positive distances.

\(\begin{array}{c|c}\vphantom{\dfrac12} \sf Data \; point & \sf Distance \; from \; mean\\\cline{1-2} \vphantom{\dfrac12} 15 & |15-12|=3\\\vphantom{\dfrac12} 5 & |5-12|=7\\\vphantom{\dfrac12} 12 & |12-12|=0\\\vphantom{\dfrac12} 14 & |14-12|=2\\\vphantom{\dfrac12} 18 & |18-12|=6\\\vphantom{\dfrac12} 16 & |16-12|=4\\\vphantom{\dfrac12} 4 & |4-12|=8\end{array}\)

Step 3

Add the absolute deviations together:

\(\implies 3+7+0+2+6+4+8=30\)

Step 4

Divide the sum of the absolute deviations by the number of data points:

\(\implies \dfrac{30}{7}=4.29\)

Answer:

$102

Step-by-step explanation:

Answer:

The value of m is 3

Step-by-step explanation:

(5^4)m =5^12

M = 3

(5^4)3 =5^4*3=12

(5^4)3 = 5^12

Answer:

(5 ^4)^m = (5)^12

625^m = (5)^12

Taking logs of both sides

log(625) *m = log (5) *12

m = log (5) *12 / log(625)

m =  0.69897000434 * 12 / log (625)

m = 0.69897000434 * 12 / 2.7958800173

m = 0.69897000434 * 12 / 2.7958800173

m = 3 answer is B

Here's a handy logarithm calculator: https://www.1728.org/logrithm.htm

Step-by-step explanation:

Answer:

UV

Step-by-step explanation:

You just match the line from the 1st figure to the second to get the answer, the shapes have to match.

r= -0.9.

R is the correlation coefficient between the x variable and the y variable. This tells us how strong si the correlation between them. As we can see in the graph, the more you increase x, the more y decreases, this means that r is negative. Hence, weonly have 2 options left now.

If we keep looking at the points, we can notice that they don't form a perfect straight line, which if r=-1 they would form a perfect line, therefore, the best value to assign for r should be -0.9.

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer: D - Mr. Lopez and Mrs. Foster

Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

I'm going to give me answer is gradient/slope form :

To work out the gradient we make a triangle from the line and do :

change in y / change in x

You should get 1/2

Now we have y=1/2x + c

to work out c we substitute a point from the line and solve for c :

Point (1 , 1)

1 = 1/2(1) + c

1 = 1/2 + c

c = 1/2

So our final answer is y = 1/2x + 1/2

Hope this helped and have a good day

Answer:

55

Step-by-step explanation:

The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.

The correct option for the approximate value of \(\sf -12 + \sqrt{32}\)  is -6.3 to the nearest tenth.

An approximation is anything that is similar, but not exactly equal, to something else.

The given expression is:

\(\sf -12 + \sqrt{32}\)

The value of \(\sqrt{32}\) is given as 5.656

Since, after decimal 6 to the right of 5 is greater than 5

To the nearest tenth, we can write as 5.66

\(\sf \therefore \sqrt{32} = 5.66\)

For the required value of the expression we can write,

\(\sf -12 + \sqrt{32}\)

Put the value of \(\sf \sqrt{32} = 5.66\)

Putting values in expression we have,

\(\sf -12 + \sqrt{32} = -12 + 5.66\)

Solving them

\(\sf \rightarrow -12 + \sqrt{32} = -6.34\)

Hence, the approximate value of \(\sf -12 + \sqrt{32}\) is -6.3 to the nearest tenth.

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The height of the Arch at any given horizontal distance from the base can be calculated by plugging the distance into the equation and solving for y.

The Gateway Arch in St. Louis is a 630-ft tall monument modeled after a parabola, which is a type of curved line that opens up on both sides. The parabola can be expressed in mathematical terms by the equation y = x^2. In this equation, y is the height of the Arch and x is the horizontal distance from the base. The base of the Arch is also 630-ft.

To calculate the height of the Arch at any given horizontal distance from the base, we can plug the distance into the equation and solve for y. For example, if we wanted to calculate the height of the Arch at a horizontal distance of 200-ft from the base, we would plug this value into the equation and solve for y:

y = (200)^2

y = 40000

Therefore, the height of the Arch at 200-ft from the base is 40000-ft. This same equation can be used to calculate the height of the Arch at any horizontal distance from the base.

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Complete question:

What is the height of the Gateway Arch in St. Louis?

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

U probably don't need my answer anymore

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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We can use one simple formula, that is d=vt

d=distance

v=pace

t=time

So,

d=(7.3miles per hour)(0.75 hours)=5.475 miles

Step-by-step explanation:

5(h + 9) = 5×h + 5×9 = 5h + 45

Answer: 5h+9!

Step-by-step explanation: hope this helps!! -marina mae :)

Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

The area of the paved lunch region is 96 square feet. None of the answer is correct.

The pave lunch has a trapezoidal shape and the formula for calculating the area of a trapezoid is expressed as:

A = 1/2(a+b)h

Given that:

a = 8ft

b = 16ft

height "h" = 8ft

Substituting

A = 1/2(8+16)*8
A = 4(24)
A = 96 square feet

Hence the area of the paved lunch region is 96 square feet

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