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3 years ago

Translate the English phrase into an algebraic expression, then evaluate the expression. Eight less than negative nineteen

Mathematics

1 answer:

bixtya [17]3 years ago

6 0

Translate:

“Eight less than negative nineteen.”

-19-8

Evaluate:

-19-8 = -27

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Help plssssssssssssssssssssss

Ilia_Sergeevich [38]

Answer:

Then the solution is (4, 6).

Step-by-step explanation:

Let's use the substitution method:

First multiply the second equation by 4, obtaining 4y = -2x + 32.

Now substitute (-2x + 32) for 4y in the first equation:

3x + (-2x + 32) = 36, or

3x - 2x + 32 = 36. or

x = 4.

If x = 4, then the second equation yields y = (-1/2)(4) + 8, or

y = -2 + 8, or y = 6

Then the solution is (4, 6).

Check, using the first equation:

Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES

7 0

3 years ago

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

Can someone correct me I’m kinda bad at this plz I beg u

-Dominant- [34]

Answer:

First one-3

Second one-0

Last one-12

Step-by-step explanation:

7 0

3 years ago

If x = 5, find the value of<br> a) x2<br> b) (x + 3)2

PtichkaEL [24]

Answer: a) = 10

b) = 16

Step-by-step explanation:

a) as x = 5 so putting the value of x in given equation

5 multiplied by 2 is equal to 10

b) Putting value of x in given equation

= (5 + 3) 2

According to BODMAS solve the brackets first

= 8 x 2

= 16

3 0

3 years ago

Which statement illustrates the distributive property?

puteri [66]

Answer:

3(4+5)= 3(4)+3(5)

Step-by-step explanation:

5 0

3 years ago