Victoria set a goal for the number of boxes of Girl Scout Cookies she wants to sell. So far, she has sold 33 boxes. If this is n

Answer:

Step-by-step explanation:

We are provided with the information that

Function f is decreasing as it moves from quadrant 2 to quadrant 1, tending towards y=0

It intersects the y-axis at the point (0,6) and goes through (1,2).

Function g(x) also approaches y=0 in quadrant 2, but increases in quadrant 1.

It passes through (-1,2) and crosses the y-axis at (0,6).

Reflection across y-axis:

The transformation rule is identified as

Applying this rule, we derive

Then, by substituting

for x=-1

for x=0

Consequently, holds true.

Answer:

a. 0.82%

b. 71.11%

c. 0.564 micrometer

Step-by-step explanation:

To find the z value for each measurement, we must calculate and determine the percentage they correspond to, and the difference will give us the percentage between those two statistics.

The equation for z is:

z = (x - m) / (sd)

Here, x is the value being evaluated, m denotes the mean, and sd represents the standard deviation.

a.

For 0.62 copies, we calculate:

z = (0.62 - 0.5) / (0.05)

z = 2.4

This translates to 0.9918.

Therefore, p (x > 0.62) = 1 - 0.9918

p (x > 0.62) =  0.0082 = 0.82%

b.

For 0.47 copies, we have:

z = (0.47 - 0.5) / (0.05)

z = -0.6, which equates to 0.2742.

For 0.63 copies:

z = (0.63 - 0.5) / (0.05)

z = -2.6, which yields 0.9953.

Hence, p (0.47 > x > 0.63) = 0.9953 - 0.2742

p (0.47 > x > 0.63) = 0.7211 = 72.11 %

c.

For x copies, we find:

p = 0.9 corresponds to z = 1.28.

Thus, 1.28 = (x - 0.5) / (0.05)

From which we derive:

x = 1.28*0.05 + 0.5

x = 0.564 micrometer

Response:

The likelihood that fewer than 8 of the sampled adults use glasses or contact lenses is 0.4745.

Detailed explanation:

We have the following information:

Considering adults wearing glasses or contact lenses a success.

P(Adults use glasses or contact lenses) = 75% = 0.75

Hence, the number of adults follows a binomial distribution, represented as:

with n as total observations, x as successful outcomes, and p as success probability.

For our case, n = 10

We need to calculate:

P(fewer than 8 adults wear glasses or contact lenses)

0.4745 is the probability of having fewer than 8 of the selected adults utilizing glasses or contact lenses.

Answer: $35

Step-by-step explanation:

The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.

To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:

= 25% of $140

= 25/100 × $140

= 1/4 × $140

= 0.25 × $140

= $35

The individual must cut $35 from the bill, resulting in a new monthly payment of ($140 - $35) = $105.

Answer:

The answer is

Step-by-step explanation:

After operating under these conditions for a period of 6 months, he selects a simple random sample of 15 days. He logs the hours he walked each day as tracked by his fitness monitor, alongside his recorded billable hours from a work application on his computer.

The calculated slope is -0.245

The number of samples is n = 15

The standard error is 0.205

The confidence level is 95

The significance level is (100 - 95)% = 0.05

The degrees of freedom is n - 2 = 15 - 2 = 13

Critical Value = 2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428