Answer:
C
Step-by-step explanation:
Because, you have to move the decimal 7 times and to get it to 871, you have to move it over 2 times so there will be 5 zeros at the end because 2+5=7
Answer:
b)
Step-by-step explanation:
The line with positive slope is 3x-5y≥15 and the line with negative slope is 2x+3y≤12.
This is because such inequalities represent half planes which are divided by the corresponding lines.
Put (0,0) in both lines to check if the origin lies in the shaded half plane or not.
The general form of a quadratic equation is,
Ax² + Bx + C = 0
A, B, and C are all numerical coefficients of the terms in the equation.
In order to complete the square, we divide all numerical coefficients by 2 and A. Then, square the value of B/2A. Performing this operation for this item,
n = (B/2A)²
Substituting the known values,
n = (12/2(1))² = <em>36</em>
Thus, the missing number in this item is 36 and the final expression becomes,
x² + 12x + 36 = -5 + 36
Determine<span> whether a triangle with the given </span>lengths<span> is a </span>right triangle<span> or not. </span>Find<span> the </span>missing side<span> in each of the following </span>right triangles<span>. 2.</span>8 cm<span>, ') = 7 </span>cm<span> (</span><span>b) $% = 6 </span>cm<span>, %& = </span>8 cm<span>, $& = 10 </span>cm<span> (c) 34 = 17 </span>cm<span>, 45 = </span>8 cm<span>, 35 = </span>15 cm<span> 3.
</span>Use the Pythagorean Theorem to find<span> each </span>missing<span> measure. 1. 2. Example 1A</span>: Calculating theLength<span> of a </span>Side<span> of a </span>Right Triangle<span>. 12 </span>cm<span> , </span>82<span> + </span>152<span> = 17</span>2<span>.
</span>8.6.7, 8<span>.EE.2. When viewed from the </span>side<span>, the shape of some wooden waterskiing ramps is a, So, the hypotenuse is </span>15<span> inches long. Check: 02 + Write an equation you could use to </span>find<span> the length of the </span>missing side<span> of 20 </span>cm<span>. 18 yd lf the </span>sides<span> of a </span>triangle<span> have </span>lengths<span> 0,13, and c units such that 02 + is)2 = C 2</span>
Answer: a. The proportion of the population is between 20 and 30 =0.2356
b. The probability that a randomly chosen value will be between 30 and 40 =0.4680
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula to calculate z-score :-
For x= 20
For x= 30
For x= 40
a.
b.
