Two cards are randomly selected, without replacement, from a standard deck of playing cards. What is the probability of first picking a five and then picking a card other than a five? I'm having a time with determining which formula to use?

Answers

Answer 1

Answer: When the deck is fresh, it has 52 cards, and 4 of them are fives.
The probability of picking a five is ( 4 / 52 ).

Now the deck has 51 cards in it, and 48 of them are not fives.
The probability of picking a not-five is ( 48 / 51 ).

The probability of both successes in order is

( 4/52 ) x ( 48 / 51 ) = 7.24 % (rounded)

I have no idea which formula to use. Let me know if my answer is wrong.

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True or false, two figures are mathematically similar if the angles change by the same scale factor.

Answers

Answer:

true

Step-by-step explanation:

when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.

If the vertices of triangle bcd are b(-3,3), c(3,5), and d(-1,0), what is the perimeter

Answers

distance formlula
D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$

when you want to find the distance between points (x1,y1) and (x2,y2)

we nee
distace from
b to c
c to d
d to b

b to c is (-3,3) to (3,5)
D= $\sqrt{(3-(-3))^(2)+(5-3)^(2)}$ =2√10

c to d is (3,5) to (-1,0)
D= $\sqrt{(-1-3)^(2)+(0-5)^(2)}$ =√41

d to b is (-1,0) to (-3,3)
D= $\sqrt{(-3-(-1))^(2)+(3-0)^(2)}$ =√13

add

b to c+c to d+d to b=2√10+√41+√13

perimiter=2√10+√41+√13 units

A student is trying to solve the system of two equations given below: Equation P: y + z = 4 Equation Q: 3y + 7z = 15 Which of the following steps can be used to eliminate the y term? A. –3(y + z = 4) B. 3(y + z = 4) C. –1(3y + 7z = 15) D. –3(3y + 7z = 15)

Answers

look at them
P: 1y
Q: 3y
multiply first equation by -3 becuase 3y-3y=0
-3P
-3(y-z=4) is answer

A is answer

Find the domain and range of function y = √(−x^{2} −6x+2)

Answers

$y=√(-x^2-6x+2)\n\nD:-x^2-6x+2\geq0\n\na=-1;\ b=-6;\ c=2\n\n\Delta=b^2-4ac;\ iff\ \Delta \geq0\ then\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-6)^2-4\cdot(-1)\cdot2=36+8=44;\ \sqrt\Delta=√(44)=√(4\cdot11)=2√(11)\n\nx_1=(6-2√(11))/(2\cdot(-1))=-3+√(11);\ x_2=(6+2√(11))/(2\cdot(-1))=-3-√(11)\n\nlook\ at\ the\ picture\n\nD:x\in\left<-3-√(11);-3+√(11)\right>$

If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for his age group is $2.34, how much is Jesse’s annual premium?

Answers

Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.

2.34 * 75 = $175.50

We don't need to multiply it by 10 years as only the annual premium is being solved for.

Answer:

Step-by-step explanation:

took it on edu

Timmy uses 1 1/2 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar would Timmy use if he makes 13 gallons of lemonade?cups of sugar

Answers

Answer:

he would have to use 19.5 cups of sugar.

Step-by-step explanation:

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