Convert y=x^2-4x-2 to vertex form

A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed

Ivanshal [37]

Answer:

Step-by-step explanation:

In this question, the sample space contains 8 elements and has been given as;

HHT HHH THH HTH HTT TTT TTH THT

1. For event A:

Outcomes of alternating tail and head = THH HTH HTT THT

= 4 outcomes

Pr(alternating tail and head (with either coming first)) = $\frac{4}{8}$

= $\frac{1}{2}$

2. For event B:

Outcomes of no tails on the first two tosses = HHT HHH

= 2 outcomes

Pr (No tails on the first two tosses) = $\frac{2}{8}$

= $\frac{1}{4}$

For event C:

Outcomes of a tail on both the first and the last tosses = THT TTT

= 2 outcomes

Pr(A tail on both the first and last tosses) = $\frac{2}{8}$

= $\frac{1}{4}$

3 0

3 years ago

Use the values on the number line to find the sampling error.

pantera1 [17]

Part 1:

Given a number line with the point $\bar{x}=3.8$ and the point $\mu=4.27$

The sampling error is given by:

$\bar{x}-\mu=3.8-4.27=-0.47$

Part 2:

Given a number line with the point $\bar{x}=26.43$ and the point $\mu=24.67$

The sampling error is given by:

$\bar{x}-\mu=26.43-24.67=1.76$

4 0

3 years ago

3) A data set has 11 numbers in it. Each number is a whole number and there are no repeats. The bottom 2 values of the data set

NNADVOKAT [17]

C) 18 is your answer

Hope this brings you luck ^o^ ^_^

7 0

4 years ago

If cos(x)=-1/4 and tan(x)<0 what is sin(2x)

nata0808 [166]

By definition of tangent,

tan(x) = sin(x) / cos(x)

so if tan(x) < 0, and we're given cos(x) = -1/4 < 0, then it follows that sin(x) > 0.

Recall the Pythagorean identity:

cos²(x) + sin²(x) = 1 → sin(x) = + √(1 - cos²(x))

Then

sin(x) = √(1 - (-1/4)²) = √(15/16) = √(15)/4

Recall the double angle identity:

sin(2x) = 2 sin(x) cos(x)

Then

sin(2x) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8

8 0

3 years ago

Suppose that the neighboring cities of Tweed and Ledee are long-term rivals. Neal, who was born and raised in Tweed, is confiden

Makovka662 [10]

Complete Question

The option to the blank space are shown on the first uploaded image

Answer:

Neal's decision is to fail to reject the null hypothesis (p 0.066). There is no sufficient evidence to prove the claim that the average electricity consumption of all Ledee household is greater than , 854.28 kWh

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 854.11$

The sample size is $n = 65$

The sample mean is $\= x = 879.28 \ kWh$

The standard deviation is $\sigma = 133.29 \ kWh$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o: \mu = 854.11$

The alternative hypothesis is $H_a : \mu > 854.11$

The t-statistics is $t = 1.522$

The p-value is $p-value = 0.066$

Now from the given data we can see that

$p-value < \alpha$

Generally when this is the case , we fail to reject the null hypothesis

So

Neal's decision is to fail to reject the null hypothesis (p 0.066). There is no sufficient evidence to prove the claim that the average electricity consumption of all Ledee household is greater than , 854.28 kWh

8 0

3 years ago