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Vaselesa [24]
3 years ago
10

A deck of cards contains RED cards numbered 1,2,3,4,5 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B t

he event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Red 1 is one outcome of which of the following events? Select all correct answers.
Mathematics
2 answers:
disa [49]3 years ago
6 0

Answer:

Red 1

B OR O

R AND O

Red 3

B OR O

B'

E'

Red 5

E'

R OR E

R AND O

Step-by-step explanation:

jeka943 years ago
3 0

Answer:

R+O(I think)

Step-by-step explanation:

The odds of drawing that particular card is 1/7. The odds of drawing a red card are 5/7 and a blue card, 2/7. (This is just <em>my</em> answer)

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When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which students were aske
12345 [234]

Answer:

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>

<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>

<em />

This is a hypothesis test for the difference between populations means.

The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

The significance level is 0.01.

The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.

The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.

The difference between sample means is Md=-261.

M_d=M_1-M_2=780-1041=-261

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{128^2}{20}+\dfrac{140^2}{20}}\\\\\\s_{M_d}=\sqrt{819.2+980}=\sqrt{1799.2}=42.417

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-261-0}{42.417}=\dfrac{-261}{42.417}=-6.153

The degrees of freedom for this test are:

df=n_1+n_2-1=20+20-2=38

This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

3 0
3 years ago
Which canadian island has a population density that ranges from under 2 people to as many as 250 people per square mile?
KonstantinChe [14]
<span>The island that has the population density ranging from less than to up to two hundred fifty people per square mile is Vancouver Island. The island is roughly 12,079 square miles with a total population of 748,937 according to the 2009 census bureau.</span>
4 0
4 years ago
In the diagram below what is the approximate length of the minor arc XY
sveta [45]

C = 2pi r= 2 (3.14) (27) = 169.56

Let XY = x

169.56 / 360 = x / 60

360x = 169.56 * 60

360x = 10173.60

x = 28.26

x = 28.3

Answer is C. 28.3 cm

5 0
3 years ago
Read 2 more answers
Use the interactive number line to help complete each exercise. Place points at -1 and -4. Complete the inequality: -1 -4. Place
Sliva [168]

Question might not be complete

Answer and explanation:

The signs -1 and -4 lie on the negative side of the number line, left of zero(positive right of zero).

The opposites for each number would be +1 and +4 which would all be on the right side of zero on the number line

Inequality signs or statements to represent greater and lesser number on the number line using the numbers above as examples would be:

-1<+1

-4<-1

+1>-1

+1<4

-1-4<1+4

Numbers that don't have signs attached to them are automatically positive numbers

4 0
3 years ago
Read 2 more answers
True or False: Only fractions with a denominator greater than the numerator can be converted to a decimal.
Usimov [2.4K]

Answer:

B. False

Step-by-step explanation:

Any fraction can be converted to a decimal

4 0
3 years ago
Read 2 more answers
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