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Doss [256]
3 years ago
5

What do the factors (x+2)(-8x+70)in the factored form represent?

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Answer:

-2(x+2)(4x-35)

Step-by-step explanation:

You might be interested in
Write each decimal as a fraction or mixed numbest form. -7.08
Andreas93 [3]
-(7+8/100)
= -(7+4/50)
= -(7+2/25)
= -177/25
7 0
3 years ago
In an Algebra II class with 135 students, the final exam scores have a mean of 72.3 and standard deviation 6.5. The exams on the
gregori [183]
Population = 135 students
Mean score = 72.3
Standard deviation of the scores = 6.5

Part (a): Students from 2SD and 3SD above the mean
2SD below and above the mean includes 95% of the population while 3SD includes 99.7% of the population.
95% of population = 0.95*135 ≈ 129 students
99.7% of population = 0.997*135 ≈ 135 students

Therefore, number of students from 2SD to 3SD above and below the bean = 135 - 129 = 6 students.
In this regard, Students between 2SD and 3SD above the mean = 6/2 = 3 students

Part (b): Students who scored between 65.8 and 72.3
The first step is to calculate Z values
That is,
Z = (mean-X)/SD
Z at 65.8 = (72.3-65.8)/6.5 = 1
Z at 72.3 = (72.3-72.3)/6.5 = 0
Second step is to find the percentages at the Z values from Z table.
That is,
Percentage of population at Z(65.8) = 0.8413 = 84.13%
Percentage of population at (Z(72.3) = 0.5 = 50%
Third step is to calculate number of students at each percentage.
That is,
At 84.13%, number of students = 0.8413*135 ≈ 114
At 50%, number of students = 0.5*135 ≈ 68

Therefore, students who scored between 65.8 and 72.3 = 114-68 = 46 students
4 0
3 years ago
The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b
makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = \frac{10}{12}(245b - 365) and \frac{2}{3}(3b+6)

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, \frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)

245b - 365 = \frac{12}{10}\times \frac{2}{3}(3b+6)

245b - 365 = \frac{4}{5}(3b+6)

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = \frac{1849}{1213}

b = 1.52

5 0
2 years ago
Angad rolls a fair dice 120 times.<br> How many times would Angad expect to roll an even number?
Luda [366]

Answer:

60 times

Step-by-step explanation:

Since each roll has a 50% chance of rolling an even number

50% of 120 is 60

4 0
3 years ago
Dina has a mass of 50 kilograms and is waiting at the top of a ski slope that’s 5.0 meters high. What is her potential energy
Bess [88]

Answer:

C

Step-by-step explanation:

Formula for potential energy is PE = m*g*h

where

m is the mass, in kg

g is the acceleration due to gravity, in meters per second squared, and

h is the height, in meters

The problem gives m = 50, g = 9.8, and h = 5. We plug that into the formula and get out answer. So:

PE=mgh\\PE=(50)(9.8)(5)\\PE=2450

Correct answer is C.

3 0
3 years ago
Read 2 more answers
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