3.3. Shuffle a deck of cards and turn over the first card. What is the probability that the first card is a

Answer:

The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01

Step-by-step explanation:

Groups               Sample Size      Mean        Standard Deviation

1                              11                      65                   4.7

2                            16                      74                    2.5

Formulate null and alternate hypotheses as

H0 : u1 < u2 against Ha: u1 ≥ u 2

That is the mean of the group 1 is lower than the mean of the group 2

Degrees of freedom is calculated df = υ= n1+n2- 2= 11+16-2= 23

The significance level alpha is chosen to be ∝ = 0.05

The critical region t ≤ -t (0.05, 23) = -1.714

And if we choose alpha = 0.01 the critical region would be  

t ≤ -t (0.05, 23) = -2.5

Here the difference between the sample means is x`1- x`2= 65-74= -9

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/11+16-2 [ (65)²+(74)²]

= 1/23[ 4225+5476]

= 1/23[9701]

=421.782

Sp =√ 421.782=20.5373

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -9/ 20.5373√1/11+ 1/16

t= -9/8.0439

t= -1.118860

The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01

Answer:

have a good day too

Step-by-step explanation:

Answer:

1 gram salt = 0.393 g sodium

55.7g = ?

0.393 x 55.7 = 21.8901 g of sodium

Answer:

Your answer is 21.8901

Step-by-step explanation:

Multiplication.

55.7 grams of salt × 0.393 = 21.8901 grams of Sodium.

Answer:

1. 1,200

2. 231,000

Step-by-step explanation:

1. 540000/250= 1200

2. 110*2100= 231000

Answer:

c

Step-by-step explanation:

here is a saying that i will always remember: NEVERRRR repeat  your eX's

go down the graph and whichever x-values repeat is NOT a function.  

on graph a: -2 repeats

graph b: 0 repeats

graph d: -4 repeats

Answer:

Yes but what is the question?

Step-by-step explanation:

Answer: Choice A)  Angle-Angle-Side

This abbreviates to AAS.

==========================================================

Explanation:

AC bisects angle DAB, which tells us that angle DAC and angle CAB are the same measure (in this case, each is 106/2 = 53 degrees).

Because angle DAC = angle CAB, this forms the second "A" of "AAS". The first "A" is due to angle ABC = angle ADC.

The "S" refers to AC = AC by the reflexive property.

"Angle-Angle-Side" shortens to "AAS". Be sure not to mix it up with ASA which is a similar theorem. In the case of AAS, the side is not between the angles mentioned. If we knew that AB = AD, then we could use ASA.

Answer:

A

Step-by-step explanation:

Find the mean:

Day 1: 2

Day 2: 1

Day 3: 4

Day 4: 5

Day 5: 0

Day 6: 7

Mean = [tex] \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 [/tex]

This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.

Therefore we can conclude that:

"Chawrdi complied with the guideline because the mean number of hours played is [tex] \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 [/tex].

Answer:

x = 8

Step-by-step explanation:

2x + 11 = 4x - 5

2x - 4x = -5 - 11

-2x = -16

-2x/-2 = -16/-2

x = 8

Answer:

X = 11

Step-by-step explanation:

(13 + 17 + 15 + 20 + 14 + x) ÷ 6 = 15

13 + 17 + 15 + 20 + 14 + x = 15 x 6

13 + 17 + 15 + 20 + 14 + x = 90

13 + 17 + 15 + 20 + 14 = 79

79 + x = 90

90 - 79 = 11

X = 11

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9÷6=1.5 3÷1.5=2

I hope this helps, and have a nice day! :)

Answer:

-2x-10.4

Step-by-step explanation:

Hope this helps

Answer:

510, 810.2, 98, 602.06, 650

Step-by-step explanation:

its in the order as you put hope I got them right sorry if I messed up :)

Answer:

1.) 510

2.) 810.2

3.) 98

4.) 555.556

5.) 650

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3x - 4 = 8

3x - 4 + 4 = 8 +4

3x = 12

x = 4

Answer:

70

Step-by-step explanation:

Answer:

$59.5

Step-by-step explanation:

170% means 170/100

To get 170% multiply 170/100 by 85.

14450/100 will be the fraction.

Simplified it is 144.5.

That is how much Elsie has to pay.

Subtract to find the profit.

144.5-85 is 59.5.

The value of the store's profit will be $35.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elsie bought a video game for $85.00.

And, the store Charges 170% of what it paid for the game.

Now,

Since, Elsie bought a video game for $85.00.

And, the store Charges 170% of what it paid for the game.

So, We can formulate;

Let C be the cost of the game.

⇒ 170% of C = 85

⇒ 170/100 × C = 85

⇒ C = 85 × 100 / 170

⇒ C = $50

Thus, The store's profit = $85 - $50

                                    = $35

Learn more about the percent visit:

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Answer: It is a trick question 78 kids did or how many total Sixth Graders is there that would help is there 100 in total or what?

Step-by-step explanation:

Answer: 810

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

trust me I did it it's 27

Answer:

5/8

Step-by-step explanation:

Answer: 8 2/3

13/2 ÷ 3/4

keep change flip

13/2 × 4/3

13×4= 52

2×3= 6

52/6= 8 2/3

I hope this helps:

Answer: 6.4 ounces per serving

Step-by-step explanation:

128 oz = 20 servings

Divide both sides by 20.

128 / 20 = 6.4

6.4 oz per serving

Answer:

Q'(0, -1)

R'(2, 5)

S'(-1, 0)

T'(-2, 9)

Step-by-step explanation:

Rule defined by [tex]T_{(-1,2)}.R_{\text{x-axis}}[/tex]

Step 1). Reflection of the figure about x-axis

(x, y) → (x, -y)

Step 2). Followed by the translation of 1 unit to the left and 2 units up  

(x, y) → (x - 1, y + 2)

Transformation of QRST by this rule,

Step 1.

Q(1, 3) → Q"(1, -3)

R(3, -3) → R"(3, 3)

S(0, 2) → S"(0, -2)

T(-2, 1) → T"(-2, -1)

Step 2.

Q"(1, -3) → Q'(0, -1)

R"(3, 3) → R'(2, 5)

S"(0, -2) → S'(-1, 0)

T"(-1, -1) → T'(-2, 9)

Answer: 9

Step-by-step explanation:

The area of the obtuse triangle given is,

⇒ Area of triangle = 9 square units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The obtuse triangle given below.

Here, Base = 9

And, Height = 2

Now, WE know that;

⇒ Area of triangle = 1/2 × Height × Base

Put all the values we get;

⇒ Area of triangle = 1/2 × Height × Base

⇒ Area of triangle = 1/2 × 2 × 9

⇒ Area of triangle = 9 square units

Thus, The area of the obtuse triangle given is,

⇒ Area of triangle = 9 square units

Learn more about the triangle visit;

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Answer:

The answer and explanation is on the picture.

Answer:

20 hundred thousands

Step-by-step explanation:

20 x 1000 = 20000

Answer:

two hundred thousand

Step-by-step explanation:

The right angle is 90 degrees.

The 3 inside angles are a total of 180 degrees.

The two acute angles would need to equal 180-90 = 90 degrees.

Using the ratio you have 3x + 7x = 90

Simplify to get 10x = 90

Divide both sides by 10 to get x = 9

Now you have the two angles:

Angle 1 = 3 x 9 = 27

Angle 2 = 7 x 9 = 63