Answer:
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= ×
×
=
-4 < - 13( a + 6) -1 7
2 answers:
Step-by-step explanation:
<u>Step 1: Simplify both sides of the inequality.</u>
−4<−13(a+6)−17
−4<−13a−95
<u>Step 2: Flip the equation.</u>
−13a−95>−4
<u>Step 3: Add 95 to both sides.</u>
−13a−95+95>−4+95
−13a>91
<u>Step 4: Divide both sides by -13.</u>
-13a/-13 > 91/-31
ANSWER: a < -7
Explanation in words:
- The first step is to simplify both sides of the inequality and the answer will end up being as −4<−13a−95.
- The second step is to flip the equation and the answer will end up being as −13a−95>−4.
- The third step is to Add 95 to both sides of the equation and the answer will end up being as −13a>91.
- The last step is to Divide both sides by -13 and the answer will result as a < -7. So the answer is a < -7.
Graph: See Attachment
Answer:
a<−7
Hope this helps.
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Answer:
A tree with a height of 6.2 ft is 3 standard deviations above the mean
Step-by-step explanation:
⇒ statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)
an X value is found Z standard deviations from the mean mu if:
In this case we have:
We have four different values of X and we must calculate the Z-score for each
For X =5.4\ ft
Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.
⇒ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean.
(FALSE)
For X =4.6 ft
Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .
⇒ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean
(FALSE)
For X =5.8 ft
Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.
⇒ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean.
(TRUE)
For X =6.2\ ft
Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.