Find 4 consecutive even integers whose sum is 156?

Answers

Answer 1

Answer: x+(x+1)+(x+2)+(x+3)=156
4x+6=156
4x=150
x=37.5 (not an integer)
If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]

Answer 2

Answer:

Answer: The integers are 36, 38, 40, and 42

Step-by-step explanation:

156/2=78

Find even integers by dividing that by two. 39.

So the two middle integers are 38 and 40.

You can go from there.

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Which of the following is not equivalent to the formula d = rt?

Answers

The second choice ... r = dt ... is not equivalent to the formula ' d = rt ' .

Each of the other choices IS equivalent to it.

The catcher is trying to throw out a base runner trying to steal second base. If the distance between bases is 90 feet , approximately how far is the catcher's throw? (Round to the nearest whole number) See attachment below.

Thank you!!

Answers

I have a slight problem going into this question: I don't know much
about baseball.

I know it's called a baseball "diamond", but is it really a square ?
I mean is the distance from Home to 2nd base the same as the
distance between 1st and 3rd base ?

You know what ? If it's not a square, then we don't have enough
information to solve this problem. But since they gave it to you to
solve, with just that much information, I guess it must be square.
OK. The baseball diamond is actually a square ... at least THIS
one is.

That means there's a right angle at each base.

Great !
Get your scissors and carefully cut the baseball diamond in half,
along the line from Home to 2nd base. Then throw away one half.

Now what do you hold in your hand ?

It's a right triangle. The legs are the two 90-ft base lines, the right angle
is at that base, and the hypotenuse is the line from Home to 2nd base ...
exactly the distance the catcher has to throw to Second.

Can you find the length of the hypotenuse when the legs are both 90 ft ?

Remember the hypotenuse is

the square root of (one leg squared plus the other leg squared).

You can finish it off from here. Take it, Braydon !

Given the values in the probability distribution table, determine the standard deviation. A. 3.2
B. 13.9
C. 3.9
D. 2.0

Answers

Answer:

D. 2.0 is the right answer

Step-by-step explanation:

Note: All decimals were converted to fractions.

The standard deviation of the given distribution is:

σ=1.965

Answer:

1.96

Step-by-step explanation:

Solution:-

- We will use the table given to determine the standard deviation of random variable x. From descriptive statistics we have the following formula for standard deviation (s.d) :

s.d (x) = sqrt ( Var(x) )

- The formula for Variance ( Var (x) ) is also taken from descriptive statistics as follows:

$Var(X) = E ( X^2) + [ E(X) ] ^2$

- Where,

$E ( X^2) = 0^2*0.15 + 1^2*0.07 + 2^2*0.19 + 3^2*0.09 + 4^2*0.16 + 5^2*0.23 +6^2*0.11 \n\nE ( X^2) = 13.91 \n\n$

$E(X) = 0*0.15\:+\:1*0.07\:+\:2*0.19\:+\:3\cdot \:0.09\:+\:4\cdot \:0.16\:+\:5\cdot \:0.23\:+6\cdot \:0.11\n\nE(X) = 3.17\n\n(E(X))^2 = 10.0489$

- So the variance is:

Var ( X ) = 13.91 - 10.0489 = 3.8611

s.d (x) = √3.8611 = 1.96

Given that f
(
x
)
=
3
x
−
7
and
g
(
x
)
=
3
x
, evaluate
f
(
g
(
−
1
)
)

Answers

Answer: f(g(-1)) = -16

Step-by-step explanation:

First, we need to find g(−1), which means we substitute -1 in place of x in the function g(x):

g(-1) = 3(-1) = -3

Next, we substitute g(-1) into f(x):

f(g(-1)) = f(-3) = 3(-3) - 7 = -16

Therefore, f(g(-1)) = -16.

The guy above me is correct

Type the equation that shows the pattern among the set of ordered pairs (0,4)(1,0)(2,-4)(3,-8)

Answers

trial and error
y=-4x+4

or assuming that it is a line
y=mx+b
m=slope
b=yint
slope=(y2-y1)/(x2-x1)
(0,4) and (1,0)
(0-4)/(1-0)=-4/1=-4

y=-4x+b
sub point
4=-4(0)+b
4=0+b
4=b

y=-4x+4

solve quadratic equation by factoring How do you do it 3k^2 + 72 = 33k

Answers

its going to be 33k -9k= 24k divided by 72 is 3. u do 72 ÷ 24 = 3

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