Answer:
Step-by-step explanation:
Let "a" and "m" represent the cost of an apple and a mango, respectively. Then Cameron's purchase can be represented as ...
4a +7m = 17.75
Gavin's purchase can be represented as ...
2a +5m = 10.75
Subtracting the first equation from twice the second gives ...
2(2a +5m) -(4a +7m) = 2(10.75) -(17.75)
3m = 3.75
m = 1.25
Then the price of an apple can be found from the second equation:
2a +5(1.25) = 10.75
2a = 4.50 . . . . . . . . . . subtract 6.25
a = 2.25 . . . . . . . . . . . divide by 2
The price of an apple was $2.25; the price of a mango was $1.25.
Answer:
The probability of having exactly two girls is 3/8 or 0.375
Step-by-step explanation:
Since the likelihood is equal, the probability of having a boy = probability of having a girl = 1/2
In written form;
P(g) = P(b) = 1/2
We use the Bernoulli approximation to know the probability of having two girls.
Mathematically, that would be;
3C2 P(g)^2 P(b)^1
Inserting the values , we have;
3 * (1/2)^2 * (1/2)
= 3 * (1/2)^3 = 3/8 = 0.375
Answer:
0.725, 7/25, 7.5%
Step-by-step explanation:
Hope this helps! Have a great day ahead <3
Answer:
x = 36.9°
Step-by-step explanation:
We need to find out what sides of the triangle we have, <em>so we can find the formula for the missing angle, x.</em>
We have been given the <em>opposite</em> and <em>hypotenuse</em> so we are using sine
SOH, CAH, TOA
sin (x) = opp ÷ hyp
<em>Substitute in the values</em>
sin (x) = 9 ÷ 15
<em>Simplify</em>
sin (x) = 0.6
<em>Rearrange to find x</em>
x = sin^-1(0.6) - Type this into your calculator
<h3>
sin^-1 is the inverse or opposite of sin</h3>
x = 36.8698... ≈ 36.9°
An integer is a number that is whole and can be written without a fraction or decimal.
1.25 is in between the integers 1 and 2
