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Oksanka [162]
3 years ago
15

Part B : 21= - 4p-11​

Mathematics
2 answers:
Igoryamba3 years ago
7 0

Answer: p=8

Step-by-step explanation:

4p-11=21

We move all terms to the left:

4p-11-(21)=0

We add all the numbers together, and all the variables

4p-32=0

We move all terms containing p to the left, all other terms to the right

4p=32

p=32/4

p=8

vovikov84 [41]3 years ago
6 0

Answer:

p=-8

Step-by-step explanation:

21=-4p-11

1) Add 11 to both sides:

32=-4p

2) Divide both sides by -4 to isolate p:

p=-8

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Multiply (4.7 x 104) by (6.4 x 1015). Express your answer in scientific notation. A) 3.008 x 1020 B) 3.008 x 1060 C) 3.008 x 106
liq [111]

It's answer A, 3.008 x 10^20

6 0
3 years ago
If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

7 0
2 years ago
Find the following measure for this figure.
Yuliya22 [10]

Answer:

576 Sq.units

Step-by-step explanation:

Multiply all of the numbers together

5 0
3 years ago
Can someone help me for this question?​
Taya2010 [7]

Answer:

2x + 1y =< 300

x + y =>150 units

y <= 2x

Step-by-step explanation:

Let x and y be the numbers of corndogs and shakes that will be sold.

<u>1.</u>  The total cost of making these items is given by the sum of:

(x)(RM2) + (y)(RM1)

A total of RM300 is allocated for the cost of these items, so:

2x + 1y =< 300   [Units are RM)

<u>2.</u> Sales are expected to exceed 150 units, in total.  This means:

x + y =>150 units

<u>3.</u>  Sales for the shakes is less than 2 times that of the corndogs:

y <= 2x

5 0
2 years ago
Factor completely<br> 96 - 6x2
bagirrra123 [75]
Answer: 84
Step by step:
6x2=12
96-12=84
3 0
2 years ago
Read 2 more answers
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