Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13

Answer: -2 and 4

Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.

The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.

We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.

The parabola of the graph is given in the question

A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.

Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

Learn more about the x-intercept here:

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Answer:

I believe C.

Explanation:

I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.

Answer:

True

Step-by-step explanation:

You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15

Answer:

true

Step-by-step explanation:

Answer:

g(9) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

g(x) = -x² + 10x - 3

g(9) is x = 9

Step 2: Evaluate

Answer:

34.8 N at 2.5 degrees from the positive x-axis

Step-by-step explanation:

From the given information:

The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.

[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]

Given that

[tex]F_1 = 50 \ N[/tex]

[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]

[tex]F_{1x} = F_1 \times Cos A_1[/tex]

=  50 × cos 30

= 43.3 N

[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]

= 50 × sin 30

= 25 N

Similarly;

[tex]F_2 = 25 \ N[/tex]

[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]

[tex]F_{2x} = F_2 \times cos \ A_2[/tex]

= 25 × cos 250

= - 8.55 N

[tex]F_{2y} = F_2 \times A_2[/tex]

= 25 × sin 250

= -23.5 N

The total net force;

[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]

[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]

[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]

[tex]F_{net} =34.75 i + 1.5 j[/tex]

[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]

[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]

[tex]|F_{net} | = 34.8 \ N[/tex]

Finally, the direction of the angle for the net force is:

[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]

[tex]\theta = tan^{-1}( 0.043165)[/tex]

[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]

Answer:

A

Step-by-step explanation:

He increased by 10% because of 80% to 90% is 10%

So, the Answer  is A

Answer:

12.5%

Step-by-step explanation:

The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.

First, find the difference 90-80=10

Then find the percent of 80 that the difference is.

10/80=0.125

0.125 in a percent form is 12.5%

So, there was a 12.5% increase.

Answer:

x= 12

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

-2(x+6)=-36

distribute the -2

-2x-12=-36

add 12 to both sides

-2x=-24

divide both sides by -2

x=12

Some data in the question are missing. The complete question is :

The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Solution :

Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]

∴ E([tex]$X_i$[/tex]) = 5.6

   V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]

n = 100

The required probability

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]

                            = 100 x 5.6

                            = 560

[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]

Standard deviation = 3.5 x 100

                                = 35

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]

[tex]$= \phi (1.14286)$[/tex]

= 0.8735

= 0.874  (round to 3 decimal places)

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

Answer:

b. y = 1000x

Constant of proportionality = 1,000

Step-by-step explanation:

The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.

Where,

k = constant of proportionality.

From the three given equations, the only equation that takes the form is b. y = 1000x.

The constant of proportionality (k) of the equation = 1,000.

Answer:

153,930 that is the answer hope it is right

Answer:

about 1,400

Step-by-step explanation:

its about 1,400 because you would round 210 to 200, and 733 to 700.

please give brainliest :))

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

Answer:

Domain= [0, 13]

Step-by-step explanation:

Domain refers to the possible input values on the x-axis.

Answer: 10 ounces for $2.40

Step-by-step explanation: The trick behind these problems, always divide. 2.40/10ounces is $0.24. 2.08/8ounces is $0.26. Better deal, therefore smaller answer of the 2, because it's cheaper.

Answer:

The average daily maximum temperature is

26.56 °C higher than the average daily minimum temperature

Step-by-step explanation:

Here, we simply want to calculate how higher is the average daily maximum temperature to average daily minimum temperature

We simply proceed to subtract the two

Mathematically, that will be;

21.85 - (-4.7)

= 21.85 + 4.7

= 26.56 °C

Answer:

(C) $1.5

Step-by-step explanation:

Profit Percent * Cost Price = Profit

20% * $1.25 =

20/100 = .2 * $1.25 =

$.25

Selling Price = Profit + Cost Price

$.25 + $1.25 = $1.5

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

This question is based on the given solving an equation. Therefore, the value of n for (9n) (8n+8) is 0 and -1.

Given:

(9n) (8n+8)

We need to determined the value of n.

According to the question,

It is given that, expression (9n) (8n+8).

For finding the value of n, we would be equate the given expression is equal to zero.

⇒ (9n) (8n+8) = 0

Now, calculating the value of n. We get,

⇒ (9n) (8n)+(9n) (8)

Then, solving above expression further. We get,

⇒ [tex]\bold{72 n^2+ 72n = 0}[/tex]

Now, taking common 72 n. We get,

⇒ 72n (n + 1) = 0

⇒ 72 n = 0 and (n+1) = 0

We get,

n = 0 , -1

Therefore, the value of n for (9n) (8n+8) is 0 and -1.

For more details, prefer this link:

https://brainly.com/question/8743486

Answer:

tthw student saavings account

Step-by-step explanation:

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

x+8+2x-(2x+13)=0

We add all the numbers together, and all the variables:

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

We add all the numbers together, and all the variables:

x-5=0

We move all terms containing x to the left, all other terms to the right:

x=5