You roll a 6-sided die two times.
What is the probability of rolling a 5 and then rolling a 3?
Write your answer as a fraction or whole number.

Answer:

4# |  267

Step-by-step explanation:

There are  3 numbers in the 40's in the data:

42, 46 and 47.

Answer:

the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah

Answer:

$648

First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost

Answer:

$62

Step-by-step explanation:

First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248

Now create a ratio to find the total cost:

[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]

Solve for x by cross multiplying -

x=62

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36 ⇒ ( 1 )

y = - 1/2x + 8 ⇒ ( 2 )

( 2 ) × 2

2y = -x + 16 ⇒ ( 3 )

2y + x = 16

x = 16 - 2y ⇒ ( 4 )

Let us replace x with ( 16 - 2y ) and the value of y.

For that, let us use the equation (1).

3x + 4y = 36

3 ( 16 - 2y )  + 4y = 36

48 - 6y + 4y = 36

48 - 2y = 36

48 - 36 = 2y

12 = 2y

Divide both sides by 2.

6 = y

Now let us replace y with 6 and find the value of x.

For that let us use equation 4.

x = 16 - 2y

x = 16 - 2 × 6

x = 16 - 12

x = 4

Answer:

Quotient = 70

Remainder = 50

Step-by-step explanation:

The greatest number you can make is 9210, the smallest 3-digit number is = 129.

9210 / 129 = 71 with 50 left

so:

70 is the quotient and 50 is the remainder

Answer:

Negative Reciprocals

Step-by-step explanation:

Consider two slopes being perpendicular to each other:

[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]

You will either receive:

[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]

or:

[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]

Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:

[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]

Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.

Hence, they are indeed reciprocal but also negative as well.

Answer:

81

Step-by-step explanation:

[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]

[tex] {x}^{2} + 18x + {9}^{2} [/tex]

[tex] {x}^{2} + 18x + 81[/tex]

[tex] {(x + 9)}^{2} [/tex]

Answer:

239.8 feet to the nearest tenth.

Step-by-step explanation:

We have 2 right triangles one inside the other.

Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.

So we have the system:

tan 28.8 = x/(y + 100)

tan 35.5 = x/y

From second equation:

x =  tan35.5 y

Sustituting in the first equation:

tan 28.8 = tan35.5 y / (y + 100)

tan35.5 y = tan 28.8 y + 100 tan 28.8

y(tan35.5 - tan28.8) = 100 tan 28.8

y =  100 tan 28.2 / (tan35.5 - tan28.8)

y =  336.16 ft

So x = height of the buiding =   tan35.5 *  336.16

= 239.78 ft.

Answer:

your answer will be a right

Step-by-step explanation:

Answer:

D.  984

Step-by-step explanation:

The are of the trapozoid is 1/2(B1+B2)+h

Answer:

Forty games

Step-by-step explanation:

80 ÷ 2 = 40

40 games are required

The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Let we take:

X = The balance of a person’s bank account in Superior, WI

Then, by the given data, we have:

[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]

Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.

Symbolically, we have:

[tex]P(X < x) = 80\% = 0.8[/tex]

Converting X to standard normal variate Z, we have:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]

Thus, the probability statement can be rewritten as:

[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]

From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.

Thus, we get:

[tex]P(Z < z = 0.845) \approx 0.8[/tex]

Thus, we get:

[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.

Now, for second question, we need:

The probability a random person from Superior has less than $400 or more than $1000 in their bank account.

So, income of a random person from Superior is a random value of X.

So, this probability is written as:

[tex]P(400 < X < 1000)[/tex]

Rewritting it, we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]

Converting X to Z (standard normal variate), we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]

The p-value for Z = 3.36 is 0.9996

The p-value for Z = -1.44 is 0.0749

Thus, we get:

[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]

Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ1

Answer:

Θ = 84°

Step-by-step explanation:

using the identity

cosx = sin(90 - x) , then

cos6° = sin(90 - 6)° = sin84°

that is Θ = 84°

Answer:

A.

Step-by-step explanation:

Answer A. It works because the pairs of socks for 2.49 each and the 14.99 shirt need to be less than 25.

Answer:

Noone can answer it if you dont give us the numbers

Step-by-step explanation:

Answer:

x=16ft 2x+4=36

Step-by-step explanation:

perimeter o rectangle=2(l+b)

2(2x+4+x)=104

4x+8+2x=104

x=16ft,2x+4=36ft

Answer: 5.5 or 5 1/2.

Step-by-step explanation:

Answer:

Investement P

Step-by-step explanation:

Answer:

Most people use 3 or 3.14

Answer: 0.125

Step-by-step explanation:

Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]

[tex]~~~~x^4+4x^3 +4x^2 +4x +3=0\\\\\implies x^4 +x^3 +3x^3 + 3x^2 +x^2+x+3x+3=0\\\\\implies x^3(x+1) +3x^2(x+1) + x(x+1) +3(x+1)=0\\\\\implies (x+1) (x^3+3x^2 +x +3)=0\\\\\implies (x+1) \textbf{[} x^2(x+3)+(x+3)\textbf{]}=0\\\\\implies (x+1)(x+3)(x^2+1)=0\\\\\implies x = -1 ,~~ x = -3,~~ x = \pm i[/tex]

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Answer:

Let the diameter be represented as x.

Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

segments would be:(14 + x)(14) = 25^2

segments would be:(14 + x)(14) = 25^2196 + 14x = 625

segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side

14x = 625 - 196

14x = 625 - 19614x = 429

Divide both sides by 14

Divide both sides by 14x = 429/14

Divide both sides by 14x = 429/14x = 30.6

Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6

Answer: B (2.9 x 10)

Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are vertical angles. The others are supplementary

Answer: 421

Step-by-step explanation:

Subtract 3,000 by 1,737 and the product of that divided by 3 which will give you 421

Answer:

370 inches

Step-by-step explanation:

To find the perimeter of a figure, you need to add all sides together.

60 + 60 + 125 + 125 = ?

60 + 60 = 120

125 + 125 = 250

120 + 250 = 370 inches