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3 years ago

5p + 6 = -4p - 8 Solve for p

Mathematics

1 answer:

Fofino [41]3 years ago

7 0

9p=-14

p=-14/9 is the answer to the problem

5p+4p+6= -8
9p= -8-6
9p=-14
p= -14/9

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Factor x2 + 29x - 30.

marysya [2.9K]

Ok the w to your question is to cross multiply <span>216=9m m=24

</span>

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3 years ago

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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

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3 years ago

In a hand of playing cards, what is the probability that all five are of the same suit?

amid [387]

Answer:

How many five-card hands dealt from a standard deck of 52 playing cards are all of the same suit? If a random hand is dealt, what is the probability that it will have this property?

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3 years ago

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If the average of 12 consecutive odd integers is 328, what is the least of these integers

yanalaym [24]

X+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8+x+9+x+10+x+11+x+12/12
12x+78/12 = 132 times 12 is
12x+78 = 1,548 minus 78
12x = 1,506 divide by 12
x = 125.5 I believe is the answer, sorry if it is wrong

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3 years ago

Solve for F in terms of K:<br><br> <img src="https://tex.z-dn.net/?f=K%3D%5Cfrac%7B5%7D%7B9%7D%28F%2B459.67%29" id="TexFormula1"

Pepsi [2]

Answer:

see explanation

Step-by-step explanation:

Multiply both sides by 9 to eliminate the fraction

9K = 5(F + 459.67) ← divide both sides by 5

F + 459.67 = $\frac{9}{5}$ K ( subtract 459.67 from both sides )