12x5 =60$ total
12x5
h d
o p
u h
r
s
7 * 38 + 3*45 - 56
use order of operations
(7*38) + (3*45) - 56
266 + 135 - 56
=345
First step: name the sides according to geometry standards, namely, the sides are named the same lowercase letter as the opposing angle. A revised diagram is shown.
Second step: we need to know the relationships of the trigonometric functions.
cosine(A)=cos(63) = adjacent / hypotenuse = AC/AB .................(1)
sine(A)=sin(63) = opposite / hypotenuse = CB/AB .......................(2)
We're given AB=7, so
using (1)
AC/AB=cos(63)
AC=ABcos(63)=7 cos(63) = 7*0.45399 = 3.17993 = 3.180 (to three dec. figures)
Using (2)
BC/AB=sin(63)
BC=ABsin(63) = 7 sin(63) = 7*0.89101 = 6.237 (to three dec. figures).
Answer:
y = 2x + 1
Step-by-step explanation:
When given a point and a slope, use point-slope form of a line.
y - y₁ = m (x - x₁)
Here, (x₁, y₁) is (1, 3), and m = 2.
y - 3 = 2 (x - 1)
We can convert to slope-intercept form by solving for y:
y - 3 = 2x - 2
y = 2x + 1
Complete Question
ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.
a. What is the value of the sample test statistic? (Round your answer to two decimal places.)
b. Find the P-value of the test statistic. (Round your answer to four decimal places.)
Answer:
a)
b)
Step-by-step explanation:
From the question we are told that:
Probability of Wishart and Leach
Population Size
Sample size
Therefore
Generally the Null and Alternative Hypothesis is mathematically given by
Test Statistics
Therefore P Value is given as