The question is asking us to find the value of x and to round it to the nearest tenth. We know that x^2 = 112. Therefore: x = sqrt ( 112 ); x = 10.583. And also we have to round it to the nearest tenth. we can see that the digit on the place of hundredths is 8 ( which is greater than 5 ). So we add 1 to the tenths place: x = 10.6. Answer: <span>10.6.</span>
Corresponding angles are angled that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel te corresponding angles are equal
<span>3/2+2x/5=7/10
We simplify the equation to the form, which is simple to understand
<span>3/2+2x/5=7/10
Simplifying:
<span>+1.5+2x/5=7/10
Simplifying:
<span>+1.5 + 0.4x=7/10
Simplifying:
<span>+1.5 + 0.4x=0.7
We move all terms containing x to the left and all other terms to the right.
<span> + 0.4x=0.7-1.5
We simplify left and right side of the equation.
<span> + 0.4x=-0.8
We divide both sides of the equation by 0.4 to get x.
<span>x=-2
</span></span></span></span></span></span></span></span>
This problem is an example of binomial probability. In
this case, we can use the formula:
P (r) = [n! / (n – r)! r!] p^r q^(n-r)
where,
n = total number of babies = 11
r = selected number of babies
p = success of being a girl = 0.5
q = 1 – p = 1 – 0.5 = 0.5
Since we are asked to find for the P (r less than or
equal 9), therefore:
P (r less than or equal 9) = 1 – [P(11) + P(10)]
P(11) = [11! / (11 – 11)! 11!] 0.5^11 * 0.5^(11-11) = 4.8828
* 10^-4
P(10) = [11! / (11 – 10)! 10!] 0.5^10 * 0.5^(11-10) = 5.3711
* 10^-3
Therefore:
P (r less than or equal 9) = 1 – [4.8828 * 10^-4 + 5.3711
* 10^-3]
P (r less than or equal 9) = 0.994
The closest answer is letter C:
C = 509/512 = 0.994