Answer: option c
Step-by-step explanation:
margin of error = critical value × s/√n
Where s = sample standard deviation = 0.58, n = 53
The critical value = 1.96 ( this is the critical value for a two test test corresponding to a level of significance of 5%)
By substituting the parameters, we have that
Margin of error = 1.96×0.58/√53
Margin of error = 1.96 × 0.0796
Margin of error = 0.156 ~ 0.16
Answer:
60m
Step-by-step explanation:
height =2+2×(let x be the length of the base)
area=1/2bh
30=1/2(2+2×)
30=2/2+2×/2
30=1+2×/2
30=1+×
30-1=×
29=
height=2+2×
2+2(29)
2+58
60
therefore the height is 60m
Answer:
A
Step-by-step explanation:
if u count the number of spaces from the zero after the decimal point then make it negative becouse the zeros are behind it
Answer:
$1.53
Step-by-step explanation:
The computation of the change in the bill is shown below:
Total money he has to pay is
= $8.33 + $2.25
= $13.47
And, he have
= $10 + $5
= $15
So, the change would be
= $15 - $13.47
= $1.53
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
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