Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.

Answer: f(t) = 1.5t + 5

Step-by-step explanation:

sin x0= 7/9.4

sin x0= 0.745

x0 = sin^-1 0.745

x0= 48.2

Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

Answer:

(-5, 3)

Step-by-step explanation:

4x+20

OPTION A is the correct answer.

Answer:

Step-by-step explanation:

-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.

Answer:

-3/2

Step-by-step explanation:

the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.

so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.

so, the slope is

-6/4 = -3/2

Answer:

A) (0,-3)

Step-by-step explanation:

to get the y-intercept let x = 0, then

y = 0 + 0 -3

y = -3

Answer:

(0,-3)

Step-by-step explanation:

The y intercept is where x=0

ƒ(x) = –x^2 + 4x – 3?

f(0) = -0^2 +4(0)-3

f(0) = -3

(0,-3)

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

[tex]\rm\implies -\dfrac{1}{2}n^2+18=0 [/tex]

Subtracting 18 both sides ,

[tex]\rm\implies -\dfrac{1}{2}n^2 = -18 [/tex]

Multiplying both sides by -2 ,

[tex]\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18 [/tex]

On simplyfing , we get ,

[tex]\rm\implies n^2= 36 [/tex]

Putting squareroot both sides ,

[tex]\rm\implies n= \sqrt{36} [/tex]

This equals to ,

[tex]\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }} [/tex]

Hence the value of n is ±6 .

Answer:

(-infinity, -1/2] and [3, infinity]  Let e know if anything didn't make sense.  

Step-by-step explanation:

A good way to think about it is a graph is either at 0, greater than 0 or less than 0.  If you can find all of the zeroes  then you can test each zero by checking points before and after.  the graph will either cross and change signs, or stay the same.

So we want to find the zeroes.

Much like the factored form of a quadratic (x - a)(x - b) this inequality has two expressions  being multiplied together, so if you can find when they are 0 you will have all the zeros.  We shoudl also check when they do not exist just to be safe.

(x^2 - 3x) itself is a quadratic.  so lets find its zeroes.

x^2 - 3x

x(x - 3)

So the zeroes are 0 and 3.  lets find the zeroes of the other expression before checking signs.

sqrt(2x^2-3x-2) will be at 0 when the quadratic inside is at 0, and will not exist if the quadrati is negative, so let's look for both.  first the 0s.  I am going to complete the square

2x^2 - 3x - 2 = 0

2(x^2 - (3/2)x - 1) = 0

2[(x - 3/4)^2 - 25/16] = 0

2(x - 3/4)^2 - 25/8 = 0

2(x - 3/4)^2 = 25/8

(x - 3/4)^2 = 25/16

x - 3/4 = +/- 5/4

x = +/-5/4 + 3/4

x = -2/4 or 8/4

x = -1/2 or 2

Let me know if you couldn't follow that.  Anyway, using those zeroes we can tell 2x^2 - 3x - 2 is negative  between the two zeroes, since it is a parabola that opens upwards and crosses the x axis at those zeroes.  this means sqrt(2x^2 - 3x - 2) does not exist from x=-1/2 and x=2.  This means for the other zero above at x=0, the iequality will not exist.  So now we have 3 points to look at.

-1/2 for its first 0 and where it then stops existing up to 2, which is also a 0.  Finally 3 is the last 0.

at x=-1/2 all values before it are positive

x=2 has values immediately after it negative

x=3 then it switches so all values after that are positive since it is the last 0

Now we know that (x^2 - 3x) * sqrt(2x^2 - 3x - 2)is positive or equal to 0 along the intervals, (-infinity, -1/2] and [3, infinity]

Answer:

C. $21 (as well as B)

Step-by-step explanation:

→ $4.20 × $ 5.00 = ?

→ 4.20 × 5.00

→ 4.2 × 5.0

→ 21 {final answer}

Hence, option (C) is answer.

Answer:

6.   A    5c + 3e + 2

7.   A    w = P/2 - 125

8.   D   point S

Step-by-step explanation:

6.

3 triangles + 5 hexagons + 2 squares =

= 3e + 5c + 2(1)

= 5c + 3e + 2

7.

perimeter = P

length = 250 m

width = w

P = 2L + 2W

P = 2(250) + 2w

2w = P - 500

w = (1/2)(P - 500)

w = (P - 500)/2

w = P/2 - 250

Incorrect expression: w =  P/2 - 125

8.

X = 5

Y = -25

X - Y = 5 - (-25) = 5 + 25 = 30

S = 30

Answer:

1/334

Step-by-step explanation:

There are 31 days in May, subtract that from 365 days and you get 334, and there is an equal chance that she is born in any one of those 334 days, thus 1/334.

Answer:

81 cm ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h where r is the radius and h is the height

We are given the diameter of 6 so the radius is 1/2 the diameter

r = 1/2 (6) = 3

V = 1/3 pi r^2 h

   = 1/3 ( 3) * (3) ^2 * 9

 = 81 cm ^3

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]

[tex]Z =  -3.26[/tex]

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]

[tex]Z =  -1.11[/tex]

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Answer: 7x5x4=140^3

140

Step-by-step explanation:

Answer: 11/18          

1. Convert 0.5 to a fraction

5/10

5/10 simplifies to 1/2

2. Add 1/2 and 1/9 by finding a common denominator

Common deniminator is 18 (2*9=18, 9*2=18)

1/2=9/18

1/9=2/18

3. Add

9/18+2/18=11/18

4. The answer is 11/18

[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]

Answer:

[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]

Answer:

the minimum distance each of them can cover equally is 8 m.

Step-by-step explanation:

Given;

different distance covered by Laiba, tauseef and Nadia = 24 m, 42 m and 52 m

for the 24 m, distance covered by each = 24 m/3 = 8 m

for the 42 m, distance covered by each, = 42 m/3 = 14 m

for the 52 m, distance covered by each, = 52 m/3 = 17.33 m

From the results above, the minimum distance each of them can cover equally is 8 m.

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

Answer:

The measure of angle B is 29°.

Answer:

y = (√x/2) ± 2

Step-by-step explanation:

Here, we want to get the inverse of the given function

y = 2x^2 - 8

make x the subject of the formula

y + 8 = 2x^2

Divide through by 2

y/2 + 4 = x^2

x = √y/2 ± 2

Now switch place for x and y

y = (√x/2) ± 2

Answer:

d

Step-by-step explanation:

Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

Answer:

y = 5/2

Step-by-step explanation:

An inverse variation is of the form

xy = k where k is a constant

From the first pair of point

2*5 = k

10 = k

xy = 10

Using the second pair of points

4y = 10

Divide by 5

4y/4 = 10/4

y = 5/2

Answer:

4,3

Step-by-step explanation:

it went up two so i guess the other has to go down two?

Answer:

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is (0, 4)

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is (-1, 16/ 3)

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is (-9/ 2, 10)

Answer:

-5 <x<-1

Step-by-step explanation:

4|x+3|<8

Divide by 4

4|x+3| /4<8/4

|x+3|<2

There are two solutions one positive and one negative, remember to flip the inequality for the negative

x+3 <2    and x+3 >-2

Subtract 3 from each side

x+3-3 <2-3   and x+3-3 >-2-3

x<-1   and x>-5

-5 <x<-1

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

[tex]2x+y=126.77[/tex]...(1)

[tex]x+2y=128.86[/tex] ....(2)

We have to find  the cost of each ticket.

Equation (1) multiply by 2 then we get

[tex]4x+2y=253.54[/tex]  .....(3)

Now, subtract equation (2) from (3)

[tex]3x=124.68[/tex]

[tex]x=124.68/3[/tex]

[tex]x=41.56[/tex]

Now, using the value of x in equation (2)

[tex]41.56+2y=128.86[/tex]

[tex]2y=128.86-41.56[/tex]

[tex]2y=87.3[/tex]

[tex]y=87.3/2=43.65[/tex]

Hence, cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Answer:

y = -x -2

Step-by-step explanation:

-1 is the slope

-2 is the y-intercept

slope = [tex]\frac{-4-1}{2-(-3)}[/tex] = [tex]\frac{-5}{5}[/tex] = [tex]\frac{-1}{1}[/tex] = -1