Answer:
Acute Angled Triangle.
Right-Angled Triangle.
Obtuse Angled Triangle
Step-by-step explanation:
a right angle would be 90° angle
obtuse would be over 90°
acute would be smaller than 90°
hope this helps!
Answer:
(1) 0.4207
(2) 0.7799
Step-by-step explanation:
Given,
Mean value,

Standard deviation,

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)




( By using z-score table )
= 0.4207
(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)



= 0.9918 - 0.2119
= 0.7799
Answer:
7 games
Step-by-step explanation:
Ricardo has 2 cases with x number of games in each. This means 2x is the amount of video games in both. He gives away 4. He now has 2x-4 and has 10 left. This is 2x-4=10. Solve for x.
2x - 4 = 10
2x = 14
x=7
Answer: 9 and 3/7
Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.
We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.
We can change
to the improper fraction 30/7.
We can also change
to the improper fraction 11/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.
Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.
66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.
Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7
We determine the minimum and maximum scores that Juan needs to get in order to be within the strict average range. We let x be his score.
minimum:
74 = (82 + x) / 2
The value of x from the equation is equal to 66.
maximum:
80 = (82 + x )/2
The value of x from the equation is equal to 78.
Hence, Juan's score should fall between 66 and 78, inclusive.
Answer: <em> 66 ≤ x ≤ 78</em>