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gulaghasi [49]
3 years ago
14

In a science class of twenty-eight students. 12 boys and girls. On a unit test, 4 boys and 10 girls made an A grade. A student i

s chosen at random from the class. What is the probability of choosing a boy or an A student?
Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

Step-by-step explanation:

probability of choosing a boy = 12 / 28 = 3 / 7

in % = 3 / 7 x 100 = 42,86%

probability of choosing an a student = (4 + 10) / 28 = 14 / 28 = 1 / 2

in % = 1 / 2 x 100 = 50%

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HELP PLEASE Sam and George both worked hard over the summer. Together they earned a total of $525. George earned $75 more than S
ZanzabumX [31]

Answer:   Sam = $225      George = $300

<u>Step-by-step explanation:</u>

NOTES:

Sam: s

George: g = s + 75

Together: s + g = 525


a.

The two equations that can be created are "George" and Together"

The system is: \left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.

b.

see attached graph

c.

The intersection of the two lines is at (225, 300).  Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.


BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

 s = 225

Next, input the s-value into the George equation to solve for g:

g = s + 75   = (225) + 75   = 300

5 0
3 years ago
For each linear operator T on V find the eigenvalues of T and an ordered basis such that [T]_B is a diagonal matrix
-Dominant- [34]

Answer:

It seems like this question is not clear enough but it probably is like the one in the pictures.  :)

Step-by-step explanation:

Look at the pictures.

6 0
3 years ago
Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)
PtichkaEL [24]

Answer:

(x^{-3} )^{2}

x^6 x^{-12}

Step-by-step explanation:

(x^{3} x^{-6} )^{2} is the expression given to be solved.

First of all let us have a look at <u>3 formulas</u>:

1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}

Both the formula can be applied to the expression((x^{3} x^{-6} )^{2}) during the first step while solving it.

<u>Applying formula (1):</u>

(x^{3} x^{-6} )^{2}

Comparing the terms of (x^{3} x^{-6} ) with p^a \times p^b

p=x, a =3, b=-6

\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}

So, (x^{3} x^{-6} )^{2} is reduced to (x^{-3} )^{2}

<u>Applying formula (2):</u>

Comparing the terms of (x^{3} x^{-6} )^{2} with (p^a \times q^b)^c

p=q=x, a =3, b=-6, c=2

\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}

So, (x^{3} x^{-6} )^{2} is reduced to x^6 x^{-12}.

So, the answers can be:

(x^{-3} )^{2}

x^6 x^{-12}

8 0
3 years ago
A new science website has $1824 to buy online ads. If each cost $96, how many ads can the website purchase
a_sh-v [17]

Answer:

19 ads

Step-by-step explanation:

just divide 1824 by 96

3 0
2 years ago
Right the slope intercept form of the equation of of each line
Burka [1]

Answer:

Slope intercept form is y=mx+b

So y=-1/2x(m=slope which you go down one over 2 from your y-intercept)

y=-1/2x ( There would be no b because your b is 0, that's where it crosses the y axis)

Step-by-step explanation:

6 0
3 years ago
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