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3 years ago

A music store 3,550 CDs. Each CD rack holds 15 CDs. How many racks does the store need to use to hold all the CDs?

1 answer:

5 0

3550 cds divided by 15 cds/ rack = 236.66667

Meaning that there will be 236 full racks and the last rack will only have 10 cds

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From a hot-air balloon, Madison measures a 36^{\circ}

krek1111 [17]

The balloon’s vertical distance above the ground is 570.3 feet

<h3>Angle of elevation and depression</h3>

Given the following parameters

The angle of depression = 36 degrees

Base distance = 785 feet

<h3>Required</h3>

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

3 0

2 years ago

what is 0 + 0 + -2 + -2 +2 + -2 = ........ is it integer? why or why not ? PLS SHOW WORKKK HURRY PLS HELP ASAP

Morgarella [4.7K]

An integer is a whole number, in other words, a number that isn't a fraction or decimal.

0 + 0 + -2 + -2 + 2 + -2 = -4

-4 is an integer because it is not a fraction or decimal.

Best of Luck!

5 0

3 years ago

Read 2 more answers

Ln a+3 + ln a-3 = ln 16

Lilit [14]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5$

7 0

3 years ago

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si

RSB [31]

Answer:

The height of the second prism is 12 units.

Step-by-step explanation:

First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

$Volume= 15^2 x\\2700/225=x\\12=x$

6 0

2 years ago

Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste

Volgvan

Answer:

a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

b) p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

Step-by-step explanation:

Given mean of the population = 10

Sample size 'n'= 35

Mean of the sample x⁻ = 14.44

Standard deviation of the sample 's' = 4.45

Level of significance ∝ = 0.01

<u><em>Step(ii)</em></u>:-

<em>Null Hypothesis H₀</em> : μ >10

<em>Alternative Hypothesis</em> : H₁ : μ < 10

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }$

t = 5.903

Degrees of freedom = n-1 = 35-1 = 34

tabulated value t₀.₀₁,₃₄ = 2.572

The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

<u><em>p- value</em></u> :

p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

8 0

2 years ago