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3 years ago

Find the product of (x + 5)2

Mathematics

1 answer:

tatuchka [14]3 years ago

5 0

You distribute the problem as shown;
2(x+5) 2 times x+2 times 5=2x+10
The answer is 2x+10!

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Convert 3/8 to its decimal form and round to the nearest thousandths

dsp73

Answer:

.375

Step-by-step explanation:

plug it into calc.

3 0

3 years ago

Read 2 more answers

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:

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

8 0

3 years ago

Eddie Hibbs earns a gross income of $42,300 a

Maslowich

Using proportions, it is found that his tax rate is of 28.84%.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:

12,200/42,300 = 0.2884 = 28.84%.

Hence his tax rate is of 28.84%.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

1 year ago

Type this number in decimal form. (6×1000)+(2×100)+(1×10)+(7×1)+(8×110)+(5×1100)

Vesna [10]

Answer:

979, 717

Step-by-step explanation:

4 0

3 years ago

Find the area of the polygon with the given vertices x(2,4) y(0,-2) z(2,-2)

weeeeeb [17]

Answer:

Step-by-step explanation:

b = 2 units

h = 6 units

A=1/2 *b*h

= 1/2 *6*2

= 6

8 0

2 years ago