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3 years ago

Help ASAP

Mathematics

1 answer:

FrozenT [24]3 years ago

5 0

Answer:

From the graph, we can see the parabola cuts the x-axis at two different points and those will be the solution of our equation.

solution of $1/2x^{2} -x+4=0$

$x=-4,2$

$x_{1} =-4\\\\x_{2} =2$

$-----------$

hope it helps...

have a great day!!

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The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

We want to know the probability of the mean of X or $\bar{X}$ that falls in the interval $[2499;2510]$ . From inference theory we know that :

$\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)$

Now we can find the probability as follows:

$P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )$

Where $Z \sim N(0,1)$ , then:

$P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798$

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4 years ago

while digging in the background, you find an old coin. its mass is 26.76 g qnd its volume is 3cm3. what is the coin made of?

tresset_1 [31]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

We solve this question, using Pythagoras Theorem to solve for the other side.

Pythagoras Theorem states that

c² = a² + b²

c = √(a² + b²)

In the question, a = 6 feet

b = 8 feet

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c = √6² + 8²

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3 years ago

Solve for x:|3x + 12|=18

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4 years ago

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