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3 years ago

Solve for x. Enter your answer as a whole number or reduced fraction. x = ___ a0

Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

$x = \frac{1}{2}$

Step-by-step explanation:

$x = log_{e}\sqrt{e} \\ x = log_{e}e^{ \frac{1}{2} } \\ x = \frac{1}{2} log_{e}e \\ x = \frac{1}{2} \times 1 \\ x = \frac{1}{2}$

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You want to estimate the number of students in your middle school school who buy school lunch. Which sample is unbiased?

Nezavi [6.7K]

A biased example: Asking students who are in line to buy lunch

An unbiased example: Asking students who are leaving/going to lunch(NOT buying lunch).

But in this case, the answer choices can be... confusing.
Don't panic! You're given numbers and, of course, your use of logic.

Answer choice A: 100 students grades 6-8
Answer choice B: 20-30 students any one grade
Answer choice C: 5 students
Answer choice D: 50 students grade 8

An unbiased example would be to choose students from any grade. So we can eliminate choices B and D.

Now, the question wants to estimate how many people at your middle school buy lunch. This includes the whole entire school, and if you are going to be asking people, you aren't just going to assume that if 5 people out of 5 people you asked bought lunch, the whole school buys lunch.

So, to eliminate all bias and/or error by prediction, answer choice A, the most number of students, is your answer.

6 0

3 years ago

Use the distributive property to rewrite 2(8+x) then simplify

babymother [125]

16+2x

You can’t simplify anymore since there’s no other variable or whole number.

8 0

3 years ago

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

2 years ago

Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is

Vikentia [17]

Answer:

7 7/8 cups of flour

Step-by-step explanation:

2.25 times 3.5 equals 7.875

4 0

2 years ago

I Need Help With This Question

Sunny_sXe [5.5K]

A because your not dividing it by 5 your subtracting 5 from k divided by 2

7 0

3 years ago

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