Hi there!
To solve this problem, we should first find the product of 3/8 and 16 and multiply the solution by 2/3.
Let's find the product first.
3/8 × 16 = 48/8
Simplify.
48/8 = 48 ÷ 8 = 6
Now, we find 2/3 of 6.
6 ÷ 3 × 2 = 2 × 2 = 4
So, your answer is 4.
Hope this helps!
Answer:
Step-by-step explanation:
ax - c = bx + d
ax - bx = c + d
x(a - b) = c + d
Answer:
Todd's Z-score is - 0.27
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u><em>Step(i)</em></u>:-
Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.
<em>Mean of the population 'μ' = 70 </em>
<em>Standard deviation of the Population ' σ ' = 10</em>
<em>let 'x' be the random variable in normally distributed</em>
<u><em>Step(ii)</em></u>:-
<em>Given raw score 'x' = 55</em>
Todd's Z-score
Z = -0.27
<u><em>Final answer</em></u>:-
<em>Todd's Z-score is - 0.27 </em>
Let x be the price of Tanya's item. Tanya spent 5x, because she bought 5 of them.
The cost of Tony's item is x-1.75, because the price is 1.75 less than Tanya's. He spent 6(x-1.75), because he bought 6 of them.
They spent the same amount of money, so we have
So, Tanya's item costs 10.5, and Tony's item costs 8.75.
In fact, we have
Answer:
sin(θ) = 24/25
Step-by-step explanation:
We can easily solve this problem by applying the trigonometric identity
sin(x) ^2 + cos(x) ^2 = 1
In this case
sin(θ) ^2 + cos(θ) ^2 = 1
sin(θ) ^2 = 1 - cos(θ) ^2
sin(θ) ^2 = 1 - (7/25) ^2
sin(θ) ^2 = 1 - (49/625)
sin(θ) ^2 = 576/625
sin(θ) = √( 576/625)
sin(θ) = 24/25