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3 years ago

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Michelle flips a penny four times, and it lands heads up all four times. On her fifth flip, what is the probability that the pen

ny will land tails up? Explain.

1 answer:

snow_tiger [21]3 years ago

8 0

Answer:

1/2

Step-by-step explanation:

theoretical probability of a coin flip is always 50% heads, 50% tails

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Simplify. (5x2+2x−5)−(3x2+3x+1)

guapka [62]

Answer:

x² - x - 6

Step-by-step explanation:

Step 1: Write expression

(5x² + 2x - 5) - (3x² + 3x + 1)

Step 2: Distribute negative

5x² + 2x - 5 - 3x² - 3x - 1

Step 3: Combine like terms (x²)

2x² + 2x - 5 - 3x - 1

Step 4: Combine like terms (x)

x² - x - 5 - 1

Step 5: Combine like terms (constants)

x² - x - 6

4 0

3 years ago

Read 2 more answers

A side of a square is 10 m longer than the side of an equilateral triangle the perimeter of the square is three times the perime

Slav-nsk [51]

Answer:

$\large \boxed{\text{8 m}}$

Step-by-step explanation:

Let side of triangle = x

And side of rectangle = y

Perimeter of triangle = 3x

Perimeter of rectangle = 4y

We have two conditions:

$\begin{array}{lrcl}(1) & y & = & x + 10\\(2) &4y & = & 3\times 3x\\& 4y & = & 9x\\& 4(x + 10) & = & 9x\\& 4x + 40 & = & 9x\\& 40 & = & 5x\\& x& = &\mathbf{8}\\\end{array}\\\text{Each side of the triangle is $\large \boxed{\textbf{8 m}}$ long.}$

3 0

3 years ago

Grace run 5 miles the track she is runnning on is 1/3 of a mile long how many times do she needs to run around the track to meet

kicyunya [14]

Answer:

15

Step-by-step explanation:

1/3*3=1*5=5

so

3*5=15

8 0

4 years ago

Given the function f(x) = 6x^2 −13, what is f(-3)?

Naya [18.7K]

<h3>Answer: 41</h3>

Work Shown:

f(x) = 6x^2 - 13

f(x) = 6(x)^2 - 13

f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify

f(-3) = 6(9) - 13

f(-3) = 54 - 13

f(-3) = 41

7 0

3 years ago

A manager is comparing wait times for customers in a coffee shop based on which employee is

anyanavicka [17]

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if there is no difference, that is:

$H_0: \mu_A - \mu_B = 0$

At the alternative hypothesis, it is tested if there is difference, that is:

$H_1: \mu_A - \mu_B = 0$

<h3>What are the mean and the standard error of the distribution of differences?</h3>

For each sample, we have that:

$\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2$

$\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4$

For the distribution of differences, we have that:

$\overline{x} = \mu_A - \mu_B = 73 - 74 = -1$

$s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447$

<h3>What is the test statistic?</h3>

It is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{-1 - 0}{0.447}$

$t = -2.24$

<h3>What is the p-value and the decision?</h3>

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at brainly.com/question/16313918

8 0

2 years ago