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2 years ago

URGENT, PLEASE HELP!!!!

Mathematics

1 answer:

statuscvo [17]2 years ago

3 0

Answer:

The width of bookcase D is 61 cm

The width of bookcase E is 61 cm

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Sum the widths of the three bookcases A, B and C

step 2

Subtract the sum of the three bookcases A,B and C from the total length of the wall

step 3

Divide that answer in step 2 by 2, and that will let you know the widths of D and E, because they may have equal widths

therefore

The width of bookcase D is 61 cm

The width of bookcase E is 61 cm

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An object that weighs 1 pound on earth weighs only 0.17 pounds on the moon. Zach's dog weighs 17 1/2 pounds on earth. How much m

PtichkaEL [24]

its actually .16 not .17
284.192

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2 years ago

I need help in this section.

Phoenix [80]

Answer:

$\frac{1}{45}$

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is $\frac{1}{45}$

6 0

2 years ago

Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.

Verizon [17]

Answer:

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

a₁ - first term

r - common ratio

We have

$a_n=-4(6)^{n-1}$

Calculate a₁. Put n = 1:

$a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4$

Calculate the common ratio:

$r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6$

$\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948$

7 0

3 years ago

I can travel 612 miles in 1 hour in my super speedy plane. Assume that there are 5,280 ft per mile. How many get would I travel

mixas84 [53]

Answer:

3231360

Step-by-step explanation:

5280 x 612 equals 3231360

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2 years ago

jake has a bag of 50 beads, of which some are red and the remaining are yellow. jake randomly pulls out a bead from the bag, rec

ivann1987 [24]

Let the number of red beads be x, then the number of yellow beads is 50 - x.
Then, 6/9 = x/(50 - x)
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x = 300/15 = 20

Therefore, we expect 20 red beads in the bag.

8 0

3 years ago