Ray has an odd number of cats. he also has an even number of dogs.

Select the correct answer. A company that packages cold cuts needs to transport the packaged meat to the supermarket. It will co

qaws [65]

The required equation is y = 1,200 + 100x

4 0

2 years ago

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To the right are the outcomes that are possible when a couple has three children. assume that boys and girls are equally likely

hoa [83]

The all possible eight outcomes of boy or girl birth when a couple have three children is

(GBB) , (GBG), (GGB) , (GGG), (BBG), (BGB), (BGG), (BBB)

Where B represents boy and G represents Girl

The probability that having exactly 1 girl is

= Number of outcomes with one girl / Total numbers of outcomes

Now Number of outcomes with only one girl = GBB, BGB, BBG = 3

So the probability will be

The probability that having exactly 1 girl is = 3/8 = 0.375

The probability that when a couple has three children, there is exactly 1 girl is 0.375

7 0

2 years ago

A and B have certain number of mangoes. A says to B, " If you give me 10 of your mangoes, I will have twice as many as left with

Stella [2.4K]

Answer:

A had 22 mangoes, B had 26 mangoes

Step-by-step explanation:

We can write the following system:

A + 10 = 2(B - 10) -- Equation 1

3(A - 10) = B + 10 -- Equation 2

A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)

3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)

3(2B - 40) = B + 10

6B - 120 = B + 10

5B = 130

B = 26 -- (Solve for B in Equation 4)

A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)

7 0

2 years ago

A plane is flying at 1000 meters above the ground and fires a laser 60 degrees of of straight down. what is the distance the lig

juin [17]

Answer:

Step-by-step explanation:

The distance the light traveled to the ground is the range of the plane expressed as:

R = U*√2H/g

U is he velocity

H is the max height

g is the acc. due to gravity

Let us get U first using the formula

H = u²sin²Ф/2g

1000 = u²sin²60/2(9.81)

1000*19.62 = 0.8660u²

19620 = 0.8660u²

u² = 19620/0.8660

u² = 22655.88

u = √22655.88

u = 150.52m/s

Next is to get the range

R = 150.52√2(1000)/9.81

R = 150.52 √2000/9.81

R = 150.52√203.87

R = 150.52*14.28

R = 2149.16m

Hence the distance the light traveled to the ground is 2,149.16m

5 0

2 years ago

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?

kaheart [24]

If P(x) is a polynomial with integer coefficients and if is a zero of P(x) ( P( ) = 0 ), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x) .

A. x – 6
60(6)^4 + 86(6)^3 – 46(6)^2 – 43(6) + 8 = 94430

B. 5x – 8
60(8/5)^4 + 86(8/5)^3 – 46(8/5)^2 – 43(8/5) + 8 = 566.912

C. 6x – 1
60(1/6)^4 + 86(1/6)^3 – 46(1/6)^2 – 43(1/6) + 8 = 0 -------> ANSWER

D. 8x + 5
60(-5/8)^4 + 86(-5/8)^3 – 46(-5/8)^2 – 43(-5/8) + 8 = 5.07

3 0

2 years ago

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