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4 years ago

Evaluate the expression 3(x - 1)' + 2x - 7 for = 3,

Mathematics

1 answer:

Marizza181 [45]4 years ago

4 0

Answer and step-by-step explanation:

Break the bracket out would be the first step to evaluate this expression:

3(x-1)

= 3x - 3

Hope this helped :3

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The triangle shown is translated up 5. What are the new coordinates of point C?

ehidna [41]

Answer:

(3,6)

Step-by-step explanation:

The triangle shown in figure is translated up 5

To find how coordinate of C

Original coordinate of C:(2,1),

Translation has two types: verbal and horizontal.

For verbal translation: either shift up or down

1. For up shift: add value in Y-cordinate

2. For down shift: subtract value in y coordinate

• For horizontal translation: either shift left or right

I. For left shift: subtract value in x-cordinate

II. For right shift: add value in x-cordinate

C: (3,1)shift 5 unit up

So, add 5in y-cordinate

(3,1)→(3,1+5)

(3,1)→(3:6)

Hence, the new coordinate of point C is (3,6)

7 0

3 years ago

Which property is shown?

solniwko [45]

Associative Property of Addition hope this helps

8 0

3 years ago

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

8 0

3 years ago

What is symmetrical line

Delicious77 [7]

Answer:

assuming youre asking for line of symmetry, it's a line that cuts a shape exactly in half.

for example, a square has 4 lines of symmetry

3 0

3 years ago

What is an equivalent expression to 3(4m-2)-2(m+5)

Pavel [41]

Answer:

10m - 16

It's basically the same thing but simplified to make it easier to solve.

Step-by-step explanation:

3(4m-2)-2(m+5)

Distribution

12m-6-2m-10

Combining Like Terms

10m-16

8 0

3 years ago