Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10
Using the t-distribution, it is found that the value of the test statistic is t = -87.3.
At the null hypothesis, it is <u>tested if the mean is of 2,463 square feet</u>, that is:
At the alternative hypothesis, it is <u>tested if the mean is smaller</u>, that is:
.
We have the <u>standard deviation for the sample</u>, hence, the <em>t-distribution</em> is used to solve this question.
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
The values of the <em>parameters </em>are: 
.
Hence, the value of the <em>test statistic</em> is:
To learn more about the t-distribution, you can take a look at brainly.com/question/25819230
Answer:
30°
Step-by-step explanation:
Let the measure of the missing angle be x°
Therefore, by interior angle sum postulate of a triangle:
x + 60° + 90° = 180°
x + 150° = 180°
x = 180° - 150°
x = 30°
Thus the measure of the missing angle is 30°.
Answer:
84 Percentage increase
Step-by-step explanation:
Detailed calculations & verification
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
40% = 40/100 = 40 ÷ 100 = 0.4.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 40% of its value.
Percentage increase = 40% × 210
New value = 210 + Percentage increase
Calculate the New Value
New value =
210 + Percentage increase =
210 + (40% × 210) =
210 + 40% × 210 =
(1 + 40%) × 210 =
(100% + 40%) × 210 =
140% × 210 =
140 ÷ 100 × 210 =
140 × 210 ÷ 100 =
29,400 ÷ 100 =
294
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 210 =
294 - 210 =
84
Answer:
w = 50, l = 94
Step-by-step explanation:
l = w + 44, to find perimeter we need 2l + 2w = 288 and we know l so substitute 2(w+44) + 2w = 288, so 2w + 88 + 2w = 288 so 4w = 200, therefore w = 50
