Answer:
7. 5 
pizza
8. B
9. 11 
inches
10. -12
11. 
12. 4
Step-by-step explanation:
7. 3 
+ 2 
make them mixed fractions: 
+ 
get a common denominator by multiplying by 4: 
+
add the numerators: 
simplify the fraction by dividing 45 by 8: 5
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 
multiply 7 by 1 : 11
L = 11 inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5:
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.
Answer:
yes.
Step-by-step explanation:
to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².
to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.
we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.
calculation:
a² + b² = c²
a = 8 millimetres
b = 15 millilitres
c = ?
8² + 15² = c²
64 + 225 = c²
64 + 225 = 289.
289 = c²
√289 = c
√289 = 17.
the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.
He saves $124.90 because $389.90 - $265.00 = 124.90 and so that is the difference in the prices which is the answer.
Answer:
The proportion of scores reported as 1600 is 0.0032
Step-by-step explanation:
Let X be the score for 1 random person in SAT combining maths and reading. X has distribution approximately N(μ = 1011,σ = 216).
In order to make computations, we standarize X to obtain a random variable W with distribution approximately N(0,1)
The values of the cummulative distribution function of the standard Normal random variable, lets denote it 
are tabulated, you can find those values in the attached file. Now, we are ready to compute the probability of X being bigger than 1600
Hence, the proportion of scores reported as 1600 is 0.0032.
Answer:
Step-by-step explanation:
Probability is expressed as
Number of favorable outcomes/number of total outcomes
Considering the first bag, the probability that you pick a letter that is Upper Y is 7/20 = 0.35
Converting to percentage, it becomes
0.35 × 100 = 35%
Considering the second bag, the probability that you pick a letter that is Upper Y is 240/500 = 0.48
Converting to percentage, it becomes
0.48 × 100 = 48%
Therefore, you are more likely to pick a tile that is the Upper Y letter from the second bag.
