3k-7/5 = 16 what is does k equal?

A runner finished a total of 1500 kilometers in races before retiring she finished thirty-two 15 kilometer races. The rest of he

Triss [41]

Answer:

102 of runner's races were 10-kilometer races.

8 0

2 years ago

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Find Sn for the given arithmetic series a1=-26 d=-9 n=24

ryzh [129]

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ [ 2 $a_{1}$ + (n - 1)d ]

Substitute the given values into the formula

$S_{24}$ = $\frac{24}{2}$ [ (2 × - 26) + (23 × - 9) ]

= 12 ( - 52 - 207 )

= 12 × - 259 = - 3108

5 0

3 years ago

There are 3 bags each containing 100 marbles. Bag 1 has 75 red and 25 blue marbles. Bag 2 has 60 red and 40 blue marbles. Bag 3

jekas [21]

Answer:

0.4 ; 0.6125

Step-by-step explanation:

Given the following :

Bag 1 : 75 red ; 25 blue

Bag 2: 60 red ; 40 blue

Bag 3: 45 red ; 55 blue

Probability = (required outcome / Total possible outcomes)

A) since the probability of choosing each bag is equal :

BAG A:

P(choosing bag A) = 1 / total number of bags = 1/3 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (1/3 × 75/100) = 25/300

BAG B:

P(choosing bag B) = 1/3 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (1/3 × 40/100) = 40/300

BAG C:

P(choosing bag C) = 1/3

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (1/3 × 55/100) = 55/300

= (25/300) × (40/300) × (55/300) = (25 + 40 + 55)/300 = 120/300 = 0.4

2) What is the probability that the marble is blue when the first bag is chosen with probability 0.5 and other bags with equal probability each?

BAG A:

P(choosing bag A) = 0.5 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (0.5 × 75/100) = (0.5 * 0.75) = 0.375

BAG B:

P(choosing bag B) = (1-0.5) / 2 = 0.25 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (0.25 × 40/100) = (0.25 × 0.4) = 0.1

BAG C:

P(choosing bag C) = (1 - (0.5+0.25)) = 0.25

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (0.25 × 55/100) = 0.25 × 0.55 = 0.1375

= 0.1375 + 0.1 + 0.375 = 0.6125

7 0

3 years ago

Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one

Westkost [7]

Answer:

The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.

In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation, refer the following link:

brainly.com/question/17540330

#SPJ10

8 0

2 years ago

What value of c makes x2 + 6x + c a perfect square trinomial? 3 6 9 12

miskamm [114]

The answer is 3 jehfhdhhedhhshshdhhsgdjshshdhdh

5 0

3 years ago