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3 years ago

How would you use estimation to evaluate this expression: 10.2 × [(2×3.7)+8]

1 answer:

4 0

Well, first you would estimate all the terms: 10.2 to 10, 2 to 2(keep the same), 3.7 to 4, and eight to eight.

So you have 10 x [(2 x 4) + 8]
then you would evaluate this expression using order of operations

10 x [(2 x 4) + 8]
10 x [8 + 8]
10 x 16
160

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Molly uses 192 beads to make a bracelet and a necklace. It takes 5 times as many beads to make a necklace than t does to make a

neonofarm [45]

Solve for the bracelet first. x represents number of beads for bracelet So it would be number of beads for the bracelet + number of beads for necklace (5x) and they both equal 192 x + 5x = 192 Then you would add the x and 5x.<br />6x = 192 Now all you have to do is divide by 6 on both sides. 6× ÷ 6 = 192 ÷ 6 You know have the number of beads it takes for a bracelet. x = 32 to get the necklace all you need to do is multiply it by 5 because you need 5 times more for the necklace. 32 × 5 total beads needed is 160. 160 x+5x=192 6×=192 6x÷6=192÷6 x=32 necklace needs 32x5 beads per necklace is 160

7 0

3 years ago

40. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in

Harrizon [31]

Answer:

a) 56.67% probability that the student is a woman

b) 16.67% probability that the student received an A

c) 63.33% probability that the student is a woman or received an A.

d) 83.33% probability that the student did not receive an A.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

30 students

13 men

17 women

2 men that got an A and 11 men that did not get an A.

3 women that got an A and 14 women that did not get an A.

a. Find the probability that the student is a woman.

30 students, of which 17 are women.

$P = \frac{17}{30} = 0.5667$

56.67% probability that the student is a woman

b. Find the probability that the student received an A.

30 students, of which 5 received an A

$P = \frac{5}{30} = 0.1667$

16.67% probability that the student received an A

c. Find the probability that the student is a woman or received an A.

30 students, of which 17 are women and 2 are men who received an A. So

$P = \frac{19}{30} = 0.6333$

63.33% probability that the student is a woman or received an A.

d. Find the probability that the student did not receive an A.

30 students, of which 25 did not receive an A.

$P = \frac{25}{30} = 0.8333$

83.33% probability that the student did not receive an A.

7 0

3 years ago

Which expression results when the change of base formula is applied to log4 (x + 2)?

aksik [14]

You haven't shared the possible answers, so the best I can do (which is very good!) is to assume we want to change from base 4 to base 10 and then apply the change of base formula.

Given log-to-the-base-4-of (x+2), we want log-to-the-base-10 of (x+2). Following the change of base formula,
log-to-the-base-4-of (x+2)
log-to-the-base-10 of (x+2) = ------------------------------------
log-to-the-base-4-of-10

6 0

3 years ago

Read 2 more answers

Find the area of the irregular figure. I don’t know this I need help.

Shkiper50 [21]

Answer:

11 in.²

Step-by-step explanation:

you can divide the shape into 2 rectangles and then you solve for the 2 rectangles and then you add them up.

4 0

3 years ago

PLEASE HELP ASAP

olganol [36]

From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).

The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)

The transformed triangle is shown in red color.

5 0

3 years ago