If a bicycle cost $70.50 but it's on sale for 47% off how much is the discount what is the sale price

One or more variable

Option D is the correct answer

Answer: x = {-3, -1, 1, 7}

Step-by-step explanation:

f(x) = x⁴ - 4x³ - 22x² + 4x + 21

possible roots are: +/- 1, 3, 7, 21

Let's try x = 1

1  |  1     -4     -22       4       21

  |  ↓      1       -3     -25     -21

     1     -3      -25    -21       0     remainder is 0 so (x - 1) is a factor

(x - 1)(x³ - 3x² - 25x - 21)

Next, let's try x = -1

-1  |  1     -3     -25      -21

   |  ↓     -1        4        21

      1     -4      -21       0     remainder is 0 so (x + 1) is a factor

(x - 1)(x + 1)(x² - 4x - 21)

Then, factor the third polynomial

(x - 1)(x + 1)(x + 3)(x - 7)

Now, set each factor equal to zero and solve each one.

(x - 1) = 0    ⇒     x = 1

(x + 1) = 0   ⇒     x = -1

(x + 3) = 0   ⇒    x = -3

(x - 7) = 0   ⇒     x = 7

Answer:

-3, -1, 1, 7

Step-by-step explanation:

Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.

f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0

x = -3 is a solution

f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0

x = -1 is a solution

f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21

x = 0 is not a solution

f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0

x = 1 is a solution

f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192

x = 3 is not a solution

f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0

x = 7 is a solution

Answer:IQ score≈119.7225

Step-by-step explanation:

To find the IQ score that corresponds to the 90th percentile in a normal distribution with a mean of 100 and a standard deviation of 15, you can use the cumulative distribution function (CDF) of the normal distribution. The CDF gives the probability that a random variable (in this case, IQ) is less than or equal to a specific value.

The formula to find the z-score (standard score) corresponding to a given percentile is:

�

=

invNorm

(

�

)

z=invNorm(p)

Where

�

p is the desired percentile expressed as a decimal (90th percentile would be

�

=

0.90

p=0.90), and

invNorm

invNorm is the inverse normal distribution function.

Then, you can use the z-score to find the IQ score using the formula:

IQ score

=

mean

+

�

×

standard deviation

IQ score=mean+z×standard deviation

Plugging in the given values:

Mean (

mean

mean) = 100

Standard deviation (

standard deviation

standard deviation) = 15

Percentile (

�

p) = 0.90

First, find the z-score:

�

=

invNorm

(

0.90

)

z=invNorm(0.90)

You can use a standard normal distribution table, calculator, or software to find the z-score. For a 90th percentile,

�

≈

1.28155

z≈1.28155.

Now, plug the z-score into the IQ score formula:

IQ score

=

100

+

1.28155

×

15

IQ score=100+1.28155×15

IQ score

≈

119.7225

IQ score≈119.7225

Rounding to the nearest whole number, an IQ score of approximately 120 would place you in the 90th percentile.

Final answer:

To be in the 90th percentile, you would need an IQ score of approximately 119.2.

Explanation:

To find the IQ score corresponding to the 90th percentile, we can use the standard normal distribution table or a calculator. Since the IQ distribution is normally distributed with a mean of 100 and a standard deviation of 15, we can convert the given information into a standard normal distribution by using the formula:

Z = (X - μ) / σ

where Z is the standard score, X is the IQ score, μ is the mean, and σ is the standard deviation.

Since we want to find the IQ score for the 90th percentile, we need to find the Z-score that corresponds to the 90th percentile. From the standard normal distribution table, we find that the Z-score for the 90th percentile is approximately 1.28.

Now, we can solve for X (the IQ score) using the formula:

Z = (X - μ) / σ

Substituting the values, we have:

1.28 = (X - 100) / 15

Solving for X, we get:

X = 1.28 * 15 + 100

Therefore, to be in the 90th percentile, you would need an IQ score of approximately 119.2.

Learn more about calculating iq for a given percentile here:

brainly.com/question/30240662

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Answer

12

Step-by-step explanation:

in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)

Answer:

12

Step-by-step explanation:

got 100 on the test.

Answer:

-2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 8 -2)/(-4- -1)

   = (8-2)/(-4+1)

   = 6/-3

   = -2