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9 days ago

The drama club members at Millie’s middle school are selling tickets to the school play. Millie wants to determine the average n

umber of tickets sold. First, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class. Which sampling technique should produce a more representative sample? 1.Both samples should be exactly the same. 2.Neither sample will be representative. 3.The first sampling method, surveying drama club members in her homeroom, is the most representative. 4.The second sampling method, surveying drama club members in her physical education class, is the most representative.

Mathematics

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tions - Part 1 A relation is plotted as a linear function on the coordinate plane starting at point E (0, 27)(0, 27) and ending

PIT_PIT [12445]

We are given the points
<span>E (0, 27)
</span><span>F (5,−8)

and we need to calculate the rate of change and the initial value:

To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7

The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>

4 0

2 months ago

Read 2 more answers

If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bot

tester [12383]

Positioning a 45-foot ladder against a building that is 36 feet tall, how far from the base of the building will the bottom of the ladder rest?

4 0

2 months ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

PIT_PIT [12445]

Answer:

a) Null and alternative hypothesis

$H_0: \mu=1503\\\\H_a:\mu< 1503$

b) Point estimate d = -$78

c) Test statistic t = -2.438

P-value = 0.0113

Reject H0. This indicates that the average automobile premium in Pennsylvania is lower than in the nation.

Step-by-step breakdown:

This is a statistical test for the average population mean.

The hypothesis posits that car insurance in Pennsylvania is notably less expensive compared to the national average.

Accordingly, the null and alternative hypotheses are:

$H_0: \mu=1503\\\\H_a:\mu< 1503$

The significance level is set at 0.05.

The sample size is n=25.

The sample mean equates to M=1425.

A point estimate of the difference between the Pennsylvania mean premium and the national average can be computed using the sample mean:

$d=M-\mu=1425-1503=-78$

Given that the standard deviation of the population is unknown, we approximate it using the sample standard deviation, which is s=160.

The estimated standard error of the mean is determined with the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{160}{\sqrt{25}}=32$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1425-1503}{32}=\dfrac{-78}{32}=-2.438$

The degrees of freedom for this sample size stand at:

$df=n-1=25-1=24$

This constitutes a left-tailed test, with 24 degrees of freedom and t=-2.438, rendering the P-value as (per a t-table):

$\text{P-value}=P(t$

As the P-value (0.0113) falls below the significance level (0.05), the results prove significant.

Thus, the null hypothesis obtains dismissal.

At a 0.05 significance level, there's sufficient evidence to assert that car insurance in Pennsylvania costs notably less than the national average.

8 0

2 months ago

The two containers are mathematically similar in shape. The larger container has a volume of 3456cm3 and a surface area of 1024c

zzz [12365]

Answer:

1458/3456 reduces to 27/64 (after simplification)

The cube root of 27/64 equals 3/4

The square of 3/4 calculates to 9/16

Multiplying 9/16 by 1024 results in 576.

THIS IS THE ACTUAL WORK AND RESULT

Please make me brainliest

4 0

2 months ago

Suppose log subscript a x equals 3, log subscript a y equals 7, and log subscript a z equals short dash 2. Find the value of the

AnnZ [12381]

Answer:

24

Step-by-step explanation:

Based on the logarithmic expressions given $log_ax = 3, log_ay = 7, log_az = -2$ , we need to identify the value of $log_a(\frac{x^3y}{z^4} )$

$from\ log_ax = 3, x = a^3\\\\from\ log_ay = 7,y = a^7\\\\from\ log_az = -2, z = a^{-2}$ By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function $log_a(\frac{x^3y}{z^4} )$ , we will derive;

$= log_a(\frac{x^3y}{z^4} )\\\\= log_a(\dfrac{(a^3)^3*a^7}{(a^{-2})^4} )\\\\= log_a(\dfrac{a^9*a^7}{a^{-8}} )\\\\= log_a\dfrac{a^{16}}{a^{-8}} \\\\= log_aa^{16+8}\\\\= log_aa^{24}\\\\= 24log_aa\\\\= 24* 1\\\\= 24$

Therefore, the result of the logarithmic expression is 24

6 0

1 month ago