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3 years ago

5

40% of students in a school wore blue on a spirit Day. If two

2 answers:

stealth61 [152]3 years ago

4 0

Answer:

60%

Step-by-step explanation:

yiu take 100%-40%= 60%

dmitriy555 [2]3 years ago

4 0

60% were not wearing blue

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What is the interquartile range of the data displayed in this box-and-whisker plot? box-and-whisker plot ranging from 34 to 58 w

maxonik [38]

Answer: The interquartile range= 12

Step-by-step explanation:

From the given the lower quartile $Q_1$ = 42

the middle quartile $Q_2$ = 49

The upper quartile $Q_3$ = 54

We know that the interquartile range is given by:=-

Interquartile range= upper quartile- lower quartile or $Q_3-Q_1$

⇒ $\text{Interquartile range (IQ)}=54-42=12$

Hence, the interquartile range of the data displayed in this box-and-whisker plot is 12.

4 0

3 years ago

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

as

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

as

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

so

$=1860-330$

$=1530$

7 0

3 years ago

63 is how many tens

nlexa [21]

Answer:

6 tens

Step-by-step explanation:

you have to do 60 divided by ten, and I know that there is a remaining three, but the question is how many tens, so it is 6

6 0

3 years ago

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During his workout, Elan spent 28% of the time on the treadmill. What fraction of his workout was on the treadmill?

tatyana61 [14]

28% means 28/100 which can be divided by 4/4 - the answer is 7/25

7 0

3 years ago

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Find (x-4) (2x +1) using table of products. Write in standard form

irina1246 [14]

Answer:

$2x^{2} - 7x - 4$

Step-by-step explanation:

Give Me Brainllest

5 0

3 years ago

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