The approximate area in square feet of the sides panel is 146.4 feet.
<h3>
Area = 1 / 2 bh</h3>
where
b = base
h = height
Therefore, let's find the height and the base using trigonometric ratios.
sin 30 = opposite / hypotenuse
sin 30° = h / 26
cross multiply
h = 26 × 1 / 2
h = 13 ft.
Let's find the base using Pythagoras theorem.
b² = 26² - 13²
b² = 676 - 169
b = √507
b = 22.5166604984
b = 22.52 ft
Area = 1 / 2 × 22.52 × 13
Area = 292.76 / 2
Area = 146.38 ≈ 146.4 ft
learn more on right angle triangle here: brainly.com/question/20999524?referrer=searchResults
Answer:
$1,006.40
Step-by-step explanation:
Basic week = ($14.80/hour) * (40 hours) = $592.00
M-F overtime = ($14.80/hour ) * ( 1.25 ) * (12 hours) = $222.00
Sat overtime = ($14.80/hour ) * ( 1.5 ) * (2 hours) = $44.40
Sun overtime = ($14.80/hour) * ( 2 ) * (5 hours) = $148.00
Total wage = 592.00 + 222.00 + 44.40 + 148
Total wage = $1,006.40
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is
.
You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or
.
The test statistic in this case will be
where
is the proportion assumed under the null hypothesis,
is the measured proportion, and
is the sample size. You have
,
, and
, so the test statistic is
Because you're testing
, this is a right-tailed test, so the P-value is
The critical value for a right-tail test at a 0.05 significance level is
, which means the rejection region is any test statistic that is larger than this critical value. Since
in this case, we reject the null hypothesis.
So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
Okay, as you know, adding a positive and a positive gives you a bigger positive number. e.g 21 + 19 = 40.
Subtracting a positive from a positive might give you a negative number or a smaller positive number. e.g 21 - 19 = 2 or 20 - 24 = -4. That's simple, we all learned this! :)
Adding two negatives (e.g -4 + -5) will always give you a negative number. To make it easier, just think of the numbers only (4, 5), add them together, and then just put a negative sign by the answer (e.g 4 + 5 = 9 so put - to make -9).
Subtracting two negatives can be a bit tricky! When we say, for example, -5 - -4, we must turn the negative number that was to the right of the minus ( -4) into a positive number! So now it becomes -5 +4 ! And then you get your answer. (which is -1).
Adding a positive to a negative can give you a positive or a negative answer. It just depends which number is "bigger". E.g -20 + 31. << 31 is the "bigger" number, and it is a positive, so we know that our answer will be positive. E.g -20 + 9. << 20 is the "bigger" number (even though it's a negative but forget about that) and it is negative, so we know that our answer will be negative.
Adding a negative to a positive can give you a negative or a positive answer. Like I said, it depends on which number is "bigger". e.g 20 + -9 . We can just remove the + sign and it now becomes 20 -9, which is easier to understand. 20 is the bigger number, and it is positive, so we get a positive answer. e.g 20 + -30 becomes 20 -30 and -30 is the "bigger" number and it is negative, so we'll get a negative answer.
Subtracting a negative from a positive does the thing I mentioned earlier: e.g 20 - -9. The -9 is right of the minus sign and becomes positive: 20 +9! :)
Subtracting a positive from a negative, like I said, depends on which number is "bigger". e.g -30 - 9 (we know 9 is positive even though we don't show the + sign). Now, to make it simple, just block out the - sign by the 30 so it becomes 30 - 9. You know what that answer is: 21. But because -30 is "bigger", and it is a negative number, the answer will be negative so it's -21. E.g -30 - 42 << Block out the - sign by the 30, and 42 is the "bigger" number, so the answer will be a positive. Just look at the difference between "bigger" number and the smaller number (without signs) . That'll give your answer. 42 - 30 = 12. 42 was the "bigger" number and a positive, and we looked at the difference. :)
