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3 years ago

Given 16 = −5 + z4solve for z

2 answers:

8 0

Hi,

$16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21$

Now just divide both sides of equation by -4.

$z = \frac{21}{4}$

Simplify:

$z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result$

Decimal form:

$z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result$

Hope this helps.
r3t40

dmitriy555 [2]3 years ago

3 0

69 is the answer that makes the most sense. all the rest would not add up

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

Can someone answer this question please WBA’s wee it correctly if it’s correct I will mark you brainliest

oksano4ka [1.4K]

Answer:

$\frac{1}{6}*\frac{4}{13}$

Step-by-step explanation:

A 6 sided die has 6 outcomes.

Your sister picks from a 13 - slice plate meaning the fact that there are 13 outcomes.

There are 4 yellow slices so picking a yellow slice has a $\frac{4}{13}$ chance

You need to mutiply both displayed values to solve this problem.

$\frac{1}{6}*\frac{4}{13}$

6 0

3 years ago

How is a topic different from a theme?

jek_recluse [69]

Hi!

A topic is just a general thing you discuss, with no true moral ending you take away from it. A theme, on the other hand, wants to communicate a life lesson.

Hopefully, this helps! =)

8 0

3 years ago

Read 2 more answers

Solve the simultaneous equations 8x – 3y = 30 3x + y = 7

hodyreva [135]

Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2

6 0

3 years ago

Pls help!! Find h. 10 cm h h = ✓ [?] cm .... 6 cm Enter

OLEGan [10]

Answer:

h = √91 cm

Step-by-step explanation:

Apply pythagorean theorem, a² + b² ° c².

Where,

a = ½(6) = 3 cm

b = h

c = 10 cm

Plug in the values

3² + h² = 10²

9 + h² = 100

9 + h² - 9 = 100 - 9

h² = 91

h = √91 cm

4 0

2 years ago

Read 2 more answers