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Savatey [412]
3 years ago
10

On average, Haley is able to read 4 5/6 Chapters in the her book each week . How many weeks will it take Haley to read 9 2/3 Cha

pters
Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

Answer:

2 weeks

Step-by-step explanation:

y = mx + b

y = total number of chapters read = 9\frac{2}{3}

m = number of chapters read per week = 4\frac{5}{6}

x = number of weeks = what we're solving for

b is not needed to find this solution

9\frac{2}{3} = 4\frac{5}{6} x                            divide 4\frac{5}{6} from both sides

x = 2 weeks

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You plan to charge $1 for each time a student plays, and the payout for a win is $5. According to your calculations, the probabi
galben [10]

Answer:

  • - $0.75

Step-by-step explanation:

For each game played the chance of winning is 0.05 and losing is 0.95.

If the student wins, they get $5 -$1 = $4, but they lose $1.

<u>Expected value is:</u>

  • 4*0.05 - 1*0.95 = -0.75

It means you will make $0.75 per average game.

3 0
3 years ago
Read 2 more answers
Here are the equations for 4
Kipish [7]

Answer:

Please see attached graph.

Step-by-step explanation:

The equations for straight lines are given as:

i) y = x +4

ii) y= x-4

Yon can form a table for values of x and y that are true for an equation and use these values as coordinates ( x,y ) to plot the graphs and view the lines to select the correct labels for the equations.  

For i)

y= x+4

x       y      coordinates

-3       1          (-3,1 )

-2        2         (-2,2)

-1         3          (-1,3)

0          4         ( 0,4)

1           5          ( 1,5)

2           6         ( 2,6)

3            7         ( 3,7)

Plot the points on a graph tool and draw the line. Do the same for the second equation to view both graphs as shown in the attached graph.

6 0
3 years ago
Find a degree 3 polynomial with leading coefficient of 4 and zeros -2, 1, and 5
Alex Ar [27]

Answer:

4x^3-16x^2-28x+40

It will take a while to describe how i got this, but i checked the zeroes are ok.

4 0
2 years ago
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary
xxMikexx [17]
Do you mean 15% increase?
5 0
2 years ago
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