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Slav-nsk [51]
3 years ago
14

8(y+4)-2(y-1)=70-3y​

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

y=4

Step-by-step explanation:

We want to solve the equation 8(y+4)-2(y-1)=70-3y​

Expand the bracket

8y+32-2y+2=70-3y

Group similar terms

8y-2y+3y=70-32-2

Simplify

9y=36

Divide by 9

y=4

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What is the value of the product (4 - 21)(6 + 2/)?<br> 20 - 41<br> 20 + 161<br> 28 + 161<br> 28 - 41
xeze [42]

Answer:

  28 -4i

Step-by-step explanation:

Perhaps you want the product ...

  (4 -2i)(6 +2i)

Multiplying in the usual way, we get ...

  (4)(6) +(4)(+2i) +(-2i)(6) +(-2i)(2i)

  = 24 +8i -12i -4i^2

Recognizing that i^2 = -1, we can collect terms to get ...

  = 24 +i(8 -12) -4(-1)

  = 28 -4i

_____

Please note that i = √(-1) is not the same as 1 or /. You may need to edit your question to ensure the correct symbol is used.

3 0
3 years ago
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
katrin2010 [14]

Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31.4 or higher are significantly high.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.8, \sigma = 5.3

Identify the test scores that are significantly low or significantly high.

Significantly low

Z = -2 and lower.

So the significantly low scores are thoses values that are lower or equal than X when Z = -2. So

Z = \frac{X - \mu}{\sigma}

-2 = \frac{X - 20.8}{5.3}

X - 20.8 = -2*5.3

X = 10.2

Test scores of 10.2 or lower are significantly low.

Significantly high

Z = 2 and higher.

So the significantly high scores are thoses values that are higherr or equal than X when Z = 2. So

Z = \frac{X - \mu}{\sigma}

2 = \frac{X - 20.8}{5.3}

X - 20.8 = 2*5.3

X = 31.4

Test scores of 31.4 or higher are significantly high.

3 0
3 years ago
Ariana is shipping 8 bags of granola to a customer. Each bag weighs 22 ounces and the maximum weight she can ship in one box is
Anuta_ua [19.1K]

Ariana cannot ship all the bags in one box.

Ariana will be sending 8 bags which will weigh a total of:

= 22 ounces x 8

= 176 ounces

You need to convert this to pounds to see if it will fit in the box:

<em>1 pound = 16 ounces </em>

176 ounces in pounds is therefore:

= 176 / 16

= 11 pounds

The box can only take 10 pounds and 5 ounces which is less than the 11 pounds the bags weigh.

Ariana cannot ship all the bags in one box.

<em>Find out more at brainly.com/question/19990206.</em>

5 0
3 years ago
HELPPP PLEASE. I need to know this by 9:30.
Aleks [24]

Answer:

23/4

Step-by-step explanation:

5\frac{3}{4} = 5*4 + 3 / 4

= 23/4

6 0
3 years ago
Read 2 more answers
Identify the slope and y-intercept of this equation and then show the steps to convert to standard form
kirill [66]

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

5 0
3 years ago
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