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kirill115 [55]
4 years ago
11

How do you solve -2(4-x)-5=11 ?

Mathematics
1 answer:
zlopas [31]4 years ago
3 0

Answer:

x =12

Step-by-step explanation:

we have:

-2(4-x)-5=11

apply distributive property:

-2*4 +2*x -5=11

we have:

-8 +2x -5 =11

2x -13 =11

2x = 11+13

2x= 24

x = 24/2

finally we have the x value:

x =12

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A national survey by Gallup interviewed a random sample of 1014 adults and found that they had consumed on average 4.2 alcoholic
Rom4ik [11]

Answer:

Approximately normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

As the sample size is above 30, even though the underlying distribution is right-skewed, the shape of the sampling distribution of the sample means will be approximately normal.

5 0
3 years ago
c2*sin(wt)+c1*cos(wt)= A*Sin(wt+phi), where c2=Acos(Phi) and c1=Asin(Phi). They ask me to find the amplitude of the function 2 s
Iteru [2.4K]

The amplitude of A\sin(\omega t+\phi) is the absolute value of A. So first you need to condense the given function into one sine expression.

Recall that

A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi

so you need to choose \phi and \omega accordingly.

If we line up the terms of the given function with the expanded one above, we should have

2\sin(4\pi t)+5\cos(4\pi t)\implies\begin{cases}A\cos\phi=2\\A\sin\phi=5\\\omega=4\pi\end{cases}

Now, using the Pythagorean identity,

(A\sin\phi)^2+(A\cos\phi)^2=2^2+5^2\implies A^2=29\implies A=\pm\sqrt{29}

so the amplitude is √29.

Just for completeness, we also get

\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)+n\pi

where n is any integer.

7 0
3 years ago
Jamal manages a game booth at the state fair. There is a railing along the perimeter of the rectangle. Write an expression for t
Katarina [22]

<u>Answer</u>

2(l+w)

<u>Explanation</u>

Rectangle is a fore sided figure of which two opposite sides are equal.

Let its longer side be l and its shorter side be w.

Perimeter is the distance all round.

perimeter = l + w + l + w

                  = l+l+w+w

                   = 2l + 2w

                   = 2(l + w)

6 0
3 years ago
1/8divided 22x3= _____
Anton [14]

Step 1: 22 times 3 is 66

Step 2: Bring down 1/8 divided by 66

When you do 1/8 divided by 66 you get 0.00189393939

So the 1/8 divided by 22*3 = 0.00189393939

3 0
3 years ago
PLZZZ HELP ME.I WOULD RLLY APPRECIATE IT
tamaranim1 [39]

Answer:

$2

Step-by-step explanation:

x = daylily

y = geranium

1x + 5y = 22

13x + 1y = 30

Multiply second equation by 5 and subtract the two equations.

1x + 5y = 22

- (65x + 5y = 150)

-64x = -128

x = 2

So one daylily costs 2 dollars

7 0
3 years ago
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