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san4es73 [151]
3 years ago
10

Solve: 3x-31=2(x-3) 25 12 9 17

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

x=25

Step-by-step explanation:

3x-31=2(x-3) → 3x - 31 -2x +6=0 → x -25 =0 → x=25

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One letter is selected from the words "conditional probability." What is the probability that an "t" or "a" is chosen?
alexgriva [62]

Answer:

4 out of 22 = 4/22

Step-by-step explanation:

5 0
3 years ago
Which equation can you use to solve 150% of 500?
Lisa [10]

Answer:

150×500=30, i got you man

8 0
3 years ago
Cholesterol levels for a group of women aged 30-39 follow an approximately normal distribution with mean 190.14 milligrams per d
Anettt [7]

Answer:

Step-by-step explanation:

Hello!

X: Cholesterol level of a woman aged 30-39. (mg/dl)

This variable has an approximately normal distribution with mean μ= 190.14 mg/dl

1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:

P(Z≥z₀)= 0.093

-*or*-

P(Z≤z₀)= 0.907

Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:

P(Z≤z₀)= 0.907

Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:

z₀= 1.323

2.

Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:

Z= (X- μ)/δ ~N(0;1)

Z= (X- μ)/δ

Z*δ= X- μ

δ=(X- μ)/Z

δ=(240-190.14)/1.323

δ= 37.687 ≅ 37.7 mg/dl

I hope it helps!

8 0
3 years ago
The Red Line in the figure is an altitude of triangle hjl. Using right angle trig and properties of equality, y sin L = x = z si
aivan3 [116]

Answer:

\Large \boxed{\mathrm{\bold{C}}}

Step-by-step explanation:

\sf \displaystyle sin(\theta) =\frac{opposite}{hypotenuse }

\sf \displaystyle sin(L) =\frac{x}{y}

\sf \displaystyle sin(H) =\frac{x}{z}

\displaystyle \sf \frac{sinL}{z} =\frac{sinH  }{y}

\displaystyle \sf \frac{\frac{x}{y} }{z} =\frac{\frac{x}{z} }{y}

Simplifying the expression.

\sf \displaystyle \frac{x}{yz } = \frac{x}{yz} \ (true)

\displaystyle \sf \frac{z}{sinL} =\frac{y}{sinH}

\displaystyle \sf \frac{z}{\frac{x}{y}} =\frac{y}{\frac{x}{z}}

Multiplying both sides by x.

\sf yz=yz  \ (true)

7 0
3 years ago
Read 2 more answers
Y is inversely proportional to the cube of x. If Y = 3 when x = 2, find Y, when x is 3. Write a proportion. Solve for y. Show wo
Wittaler [7]
<span>"Y is inversely proportional to the cube of x" translates to Y = kx</span>³ where k is unknown constant. We need to solve for k.

So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k

So k = 3/8

Now we can solve for Y when x = 3

Y = (3/8)3³ = (3/8)27 = 81 / 8

Final answer: 81 / 8
8 0
3 years ago
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