Answer:
240 students
Step-by-step explanation:
Grade 7 : Grade 8 = 5 : 3
Number of seventh grade students = 5x
Number of Eighth grade students = 3x
3x = 90
x = 90÷3
x = 30
Total students = 5x + 3x = 8x = 8 * 30 = 240
Answer:
B
Step-by-step explanation:
To rationalise the denominator.
Multiply the numerator/denominator by the radical on the denominator.
The radical on the denominator is
, thus
Multiply the fraction by
→ B
Square root both sides. The unreduced answer is root 28. Now. To reduce root 28, you need to break it down into factors and hope one of them is a perfect square.
4*7=28, and 4 is a square number. The square root of 4 is either positive or negative 2. Now that you've found that square, pull it out from under the square root symbol. Under the root symbol, you're left with 7 (not a perfect square).
Therefore, your answer is C
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




Answer:
$2.10x + 5= $49.10
x=21
Step-by-step explanation:
the x is used for a variable that changes and in this case the mph changes which lead x being the amount of miles that they had drove which at the end ends up multi. with the $2.10 . as for the 5 it was an initial as in it doesn't change.
for the second part
you subtract 5 from each side so you have the total of 2.10x= 44.10 then u divide 2.10 from each side and that will give you x = 21