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3 years ago

Four cards are drawn from a standard deck. Cards are not returned. Which is more likely:

1 answer:

3 0

Probability = # of positive events / # of all possible events

As the event B restricts the number of consecutive cards that result in a positive outcome (only consecutive face cards), it means that the numerador of the formula to find the probability is smaller, while the denominator remains unchanged.

That means that the probabilty calculated for the event A is greater than the probability of the event B.

So, the answer is that the event A is more likely than event B.

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Consider the graph of the equation y = 5. Which statements are true? Check all that apply.

levacccp [35]

Answer:

The graph of y=5 is a horizontal line. The point (-4, 5) lies on the lines.

Step-by-step explanation:

This is horizontal because 5 on the y axis is always going to stay the same. For any x value, the y value is 5. Therefore, (-4, 5) is part of that line.

6 0

2 years ago

Can someone help me answer all my quiz answers I will help you with any stuff you got except math ill even do hw for this test

S_A_V [24]

Answer: 30 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees, so you can just write an equation to solve for the measure of angle F. Also, angle C is congruent to angle F because of CPCTC

124 + 26 + F = 180

150 + F = 180

F = 30

The measure of angle F is 30 degrees

7 0

2 years ago

A 99% confidence interval for the sugar content (per 5 oz. serving) of a shipment of strawberries is 5.9 to 8.3 grams.

gavmur [86]

Answer:

Sample mean = 7.1

Margin of error = 0.465

Step-by-step explanation:

Formula for confidence interval is;

CI = x¯ ± zE

Where;

x¯ is sample mean

z is critical value at confidence level

E is margin of error.

z for 99% Cl is 2.58

We are told the CI is 5.9 to 8.3.

Thus;

5.9 = x¯ - 2.58E - - - - (1)

8.3 = x¯ + 2.58E - - - - (2)

Add both equations together to get;

14.2 = 2x¯

x¯ = 14.2/2

x¯ = 7.1

Put 7.1 for x¯ in eq 1 to get;

5.9 = 7.1 - 2.58E

7.1 - 5.9 = 2.58E

E = 1.2/2.58

E = 0.465

5 0

2 years ago

1<br> 2. Verify that (1 - cos^20) CSc^20 =<br> (4 Points)

dolphi86 [110]

(1-cos^2(x)) csc^2(x)=1

one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)

we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:

sin^2(x) x 1/sin^2(x) = 1

sin^2(x)/sin^2(x) =1

the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same

so then 1=1 Therefore LHS=RHS

Hope this helps

3 0

2 years ago

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner fo

Jet001 [13]

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 week, it will cost her the same at either company

h(x) = 5x - 5

Step-by-step explanation:

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5

Answer: Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. In one week there are 7 days, therefore in x weeks the cost of rentals are given below:

For company A: f(x) = 15(7x)

For company B: g(x) = 100x + 5

h(x) = f(x) – g(x) represents the difference between the two rate structures.

h(x) = f(x) - g(x) = 15(7x) - (100x + 5)

h(x) = 105x - 100x - 5

h(x) = 5x - 5

If Marguerite rents for 2 weeks:

The cost for company A = 15(7x) = 15(7 × 2) = $210

The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

If Marguerite rents for 1 weeks:

The cost for company A = 15(7x) = 15(7 × 1) = $105

The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105

If Marguerite rents for 1 week, it will cost her the same at either company

7 0

3 years ago