You are dealt one card from a 52-card deck. Find the probability that you are dealt: a numbered card or a spade

Answers

Answer 1

Answer: in 52-card deck there are 36 numbered card and 52/4=13 spade card
so probability that you are dealt a numbered card is 36/52 =9/13 a spade card is 13/52=1/4

Answer 2

Answer: So you start out with the 52 original cards. You know what 13 cards are spade shaped, and there are 10 numbered cards in each symbol. In total, 40 out of 52 cards are numbered, and 13 out of 52 are spade symbol. Now 10 out each symbol are numbered, start out with that. That equals 30 numbered cards. Now add the entire spade minideck, and you have 43 cards being the possibility. In numerical form, 43 out of the 52 cards are possible to be chosen. In fraction form, 43/52 will be your answer.

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The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?(–3, –7) (3, –7) (24, –7) (–24, –7)
I NEED HELP WITH THIS PLZZZ
If h(x) = −3x − 10, find h(−3).
A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? A.) 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 B.) 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275 C.) 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 D.) 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275
If a 4 member comittee is formed from 3 girls and 6 boys in a club how many commitees can be formed ? Iifthe members if the commitee are chosen at random, find the probability that the comittee consist of .. 2 girls & 2 boys ?1girl&3boys

Lines l and m are intersected by transversal t and l || m. Select all of the angles that are congruent to 25

Answers

Answer:

A. <1

D. <4

F. <8

Step-by-step explanation:

Given that lines l and m that are crossed by transversal t, the following angles are congruent to <5:

<8 = <5 (vertical angles)

<1 = <5 (corresponding angles)

<4 = <5 (alternate interior angles)

Therefore, the angles that are congruent to <5 are labelled <8, <1, and <4.

Final answer:

The angles congruent to a given angle in a set of parallel lines intersected by a transversal are the corresponding angle, the alternate interior angle, and the alternate exterior angle on the other side of the transversal.

Explanation:

In geometry, when two lines are parallel (l || m) and intersected by a transversal (t), the angles that are formed have certain relationships. Here, if one angle measures 25 degrees, then the angles congruent (equal in measure) to this angle are: the corresponding angle on the other side of the transversal, the alternate interior angle on the other side of the transversal, and the alternate exterior angle on the other side of the transversal. This is because parallel lines cut by a transversal create corresponding angles, alternate interior angles, and alternate exterior angles that are all congruent.

Learn more about Parallel Lines

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Insert < ,>, or = between the pair of numbers to form a true statement. 0.32 and 0.35

Answers

Answer: 0.32 < 0.35

Think of it like saying 32 < 35. Then stick a decimal point in front of each number.

An airplane has begun its descent for a landing. When the airplane is 150 miles west of its destination, its altitude is 25,000 feet. When the airplane is 90 miles west of its destination, its altitude is 19,000 feet. If the airplane's descent is modeled by a linear function, where will the airplane be in relation to the runway when it hits ground level?

Answers

The airplane has descended (25,000 - 19,000) = 6,000 feet
while flying (150 - 90) = 60 miles.

If the descent is modeled by a linear function, then the slope
of the function is

(-6000 ft) / (60 miles) = - 100 ft/mile .

Since it still has 19,000 ft left to descend, at the rate of 100 ft/mi,
it still needs to fly

(19,000 ft) / (100 ft/mile) = 190 miles

to reach the ground.

It's located 90 miles west of the runway now. So if it continues
on the same slope, it'll be 100 miles past the runway (east of it)
when it touches down.

I sure hope there's another airport there.

Answer:

airplane will over shoot the runway by 100 miles (for USA Test Prep people)

Step-by-step explanation:

slope =

25,000 - 19,000

150 - 90

= 100

y = mx + b

25,000 = 100(150) + b

25,000 - 15,000 = b

b = 10,000

thus,

y = mx + b

0 = 100x + 10,000

-10,000 = 100x

x = -100

When the plane is at ground level (y = 0), it will be 100 miles past the end of the runway.

What is the tenth term of the geometric sequence 3, 6, 12, 24, 48, … ?

Answers

Answer: Value of tenth term of the geometric sequence is 1536.

Step-by-step explanation:

Since we have given that

3, 6, 12, 24, 48, …

Since it is a geometric sequence.

So, here ,

a = first term = 3

r= common ratio is given by

$r=(a_2)/(a_1)\n\nr=(6)/(3)\n\na=2$

We need to find the tenth term of the geometric sequence.

As we know the formula for "nth term ":

$a_n=ar^(n-1)\n\nHere,\ n=10\n\na_(10)=3* 2^(10-1)\n\na_(10)=3* 2^(9)\n\na_(10)=3* 512\n\na_(10)=1536$

Hence, Value of tenth term of the geometric sequence is 1536.

You multiply each number by 2 until you get to the tenth term 3*2=6*2=12*2=24 until the tenth term 1,536

What is the 12th term in the sequence?an=−16+2n

Enter your answer in the box.

Answers

What is the 12th term in the sequence?

an=−16+2n
n =term
n=12

Sub n=12
a(12)=-16+2(12)
a(12)=-16+24
a(12)=8

a12=-16+(2×12)=

-16+24=8

. . Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point.. . (3, 2). . interior. exterior. on the circle

Answers

Hello,

C=(5,-3)
P=(3,2)
PC²=(3-5)²+(2+3)²=29
29>25 ==> P is exterior to the circle.

Answer:

Step-by-step explanation:

C=(5,-3)

P=(3,2)

PC²=(3-5)²+(2+3)²=29

29>25 =P is exterior to the circle

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