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Katena32 [7]
3 years ago
14

(Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power

steering. 4 cars had all three of these extras. 19 cars had none of these extras. 23 cars had only air conditioning, 61 cars had only automatic transmissions, and 28 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not power steering?
a) 37

b) 4

c) 7

d) 28

e) 24

Mathematics
2 answers:
Delvig [45]3 years ago
8 0

Answer:

e) 24

Step-by-step explanation:

Please see attachment

Shalnov [3]3 years ago
3 0

Answer:

Option E.

Step-by-step explanation:

Given information:

Air conditioning = 88

Automatic transmission = 96

power steering = 76

All three = 4

None of these extras = 19

Only air conditioning = 23

Only automatic transmissions = 61

Only power steering = 28

Both automatic transmission and power steering = 11

Place these values and draw a venn diagram as shown below.

Calculation for missing values:

11-4=7

96-61-4-7=24

88-24-4-23=37

From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.

Therefore, the correct option is E.

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Answer:

its b  because i took a test

Step-by-step explanation:

3 0
3 years ago
Given f(x) = 2x - 7, complete parts (a) through (c).
neonofarm [45]

Answer:

a) x=7/2

Step-by-step explanation:

a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.

6 0
3 years ago
Please help I’m really confused and need to learn this
egoroff_w [7]

Answer:

2.

Step-by-step explanation:

For #2, another way to word this question is: For which of the following trig functions is π/2 a solution? Well, go through them one by one. If you plug π/2 into sinθ, you get 1. This means that when x is π/2, y is 1. Try and visualize that. When y is 1, that means you moved off the x-axis; so y = sinθ is NOT one of those functions that cross the x-axis at θ = π/2. Go through the rest of them. For y = cos(π/2), you get 0. At θ = π/2, this function crosses the x-axis. For y = tanθ, your result is undefined, so that doesn't work. Keep going through them. You should see that y = secθ is undefined, y = cscθ returns 1, and y = cotθ returns 0. If you have a calculator that can handle trig functions, just plug π/2 into every one of them and check off the ones that give you zero. Graphically, if the y-value is 0, the function is touching/crossing the x-axis.

Think about what y = secθ really means. It's actually y = 1/(cosθ), right? So what makes a fraction undefined? A fraction is undefined when the denominator is 0 because in mathematics, you can't divide by zero. Calculators give you an error. So the real question here is, when is cosθ = 0? Again, you can use a calculator here, but a unit circle would be more helpful. cosθ = π/2, like we just saw in the previous problem, and it's zero again 180 degrees later at 3π/2. Now read the answer choices.

All multiples of pi? Well, our answer looked like π/2, so you can skip the first two choices and move to the last two. All multiples of π/2? Imagine there's a constant next to π, say Cπ/2 where C is any number. If we put an even number there, 2 will cut that number in half. Imagine C = 4. Then Cπ/2 = 2π. Our two answers were π/2 and 3π/2, so an even multiple won't work for us; we need the odd multiples only. In our answers, π/2 and 3π/2, C = 1 and C = 3. Those are both odd numbers, and that's how you know you only need the "odd multiples of π/2" for question 3.

6 0
3 years ago
Is the relation a function?
Margaret [11]
No; a domain value has two range values.

x = -2 then y = 1 and 2

they would form a vertical line, which tells us that it's not a function
8 0
3 years ago
Suppose that x is the probability that a randomly selected person is left handed. The value (1-x) is the probability that the pe
harina [27]

Answer:

The maximum variance is 250.

Step-by-step explanation:

Consider the provided function.

V(x)=1000x(1-x)

V(x)=1000x-1000x^2

Differentiate the above function as shown:

V'(x)=1000-2000x

The double derivative of the provided function is:

V''(x)=-2000

To find maximum variance set first derivative equal to 0.

1000-2000x=0

x=\frac{1}{2}

The double derivative of the function at x=\frac{1}{2} is less than 0.

Therefore, x=\frac{1}{2} is a point of maximum.

Thus the maximum variance is:

V(x)=1000(\frac{1}{2})-1000{\frac{1}{2}}^2

V(x)=250

Hence, the maximum variance is 250.

4 0
3 years ago
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