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Answer:
<em>a) the cost of one apple is €</em><em>0.9</em>
<em>b) the cost of one pineapple is €</em><em>5.4</em>
<em>c) the cost of two pineapples and six apples is €</em><em>16.2</em>
Step-by-step explanation:
Consider P the price of a pineapple
A the price of an apple
A pineapple costs six times as much as an apple means P = 6A
Mum paid €7.20 for one pineapple and two apples means P + 2A = 7.20
then
6A + 2A = 7.20
then
8A = 7.20
then
A = €0.9
Since P = 6A then P = 6×(0.9) = €5.4
the cost of two pineapples and six apples
= 2P + 6A
= 2P + P
= 3P
= 3×(5.4)
= €16.2
A. PT and TQ are equal since they are both bisected by T. So, set them equal to each other you get the equation:
5x+3 =48
5x=45
x=9
Formulas are mathematical laws that help us solve problems.
Decimals are a type of number; graphs are displays of data; percentages are comparisons of a number to 100; and fractions are a type of number.
Answer:
<em>Test statistic </em>
<em> </em>
t = <em>1.076</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Mean of the Population (μ) = 8.0
<em>Mean of the sample (x⁻) = 8.25</em>
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
<u><em>Step(ii):-</em></u>
<em>Null hypothesis : H: (μ) = 8.0</em>
<em>Alternative Hypothesis :H:(μ) > 8.0</em>
<em>Degrees of freedom = n-1 = 8-1=7</em>
<em>Test statistic </em>
<em> </em>
<em></em>
<em> </em>
<em></em>
<em> t = 1.076</em>
<em>Critical value </em>
<em> t₍₇,₀.₀₅₎ = 2.3646</em>
<em>The calculated value t = 1.076 < 2.3646 at 0.05 level of significance</em>
<em>Null hypothesis is accepted</em>
<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>
<em></em>
Answer:
65 degrees
Step-by-step explanation:
65 degrees
it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees