Answer:
x<1 x>-7
Step-by-step explanation:
|x+3|<4
We know x+3<4 and x+3>−4
x+3<4 (Condition 1)
x+3−3<4−3 (Subtract 3 from both sides)
x<1
x+3>−4 (Condition 2)
x+3−3>−4−3 (Subtract 3 from both sides)
x>−7
Answer:
x<1 and x>−7
First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²
Answer:
1.3 times 10 to the 25th power
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
c). Two tailed test
Step-by-step explanation:
The given hypothesis are
Null hypothesis: H0:μ= 1.7
Alternative hypothesis: H1:μ≠ 1.7
The alternative hypothesis demonstrates that mean number of children are not 1.7 in 2000. This means that mean number of children can be greater than 1.7 or mean number of children can be less than 1.7. Thus, the given alternative hypothesis indicates the two tailed test.
