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oee [108]
3 years ago
13

The ratio of laptops to tablets in the stock room of a store is 13 : 17. If there are a total of 90 laptops and tablets in the s

tock room, how many laptops are in the stock room?
Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

39  laptops

Step-by-step explanation:

Step one:

Given data

The ratio of laptops to tablets in the stock room of a store is 13 : 17

The sum of the ratio is= 13+17= 30

there are a total of 90 laptops

Required

The number of laptops

Step two:

Applying the part to all method

let the number of laptops be x

so

13/30= x/90

cross multiply we have

30x= 13*90

30x= 1170

x= 1170/30

x=39  laptops

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Right angled triangle calc: find a, b=24, c=33.94113
Ksenya-84 [330]
Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b<span>²</span>

a²+24²=33.94113<span>²

a</span><span>²+576=1,152.00031

a</span><span>²=576.000306

a=24    (If you need the exact number, not rounded, it is 24.0000064)</span>
5 0
3 years ago
HELP 10pts!!!
Vikki [24]

Answer:

148.12m²

Step-by-step explanation:

At first, lets find the area of rectangle.

length = 14m

breadth = 6m

Area of rectangle = length x breadth

= 14 x 6

= 84m²

Now, For the area of sector of the circle,

Given angle (a) = 34

radius = 14m

Area of the sector = a / 360 x pi x r²

= 34/360 x 3.14 x 14²

= 34 / 360 x 3.14 x 196

= 58.12m²

Now adding both areas,

84 + 58.12 = 142.12m²

4 0
3 years ago
Find the m∠DCA A. 10 B. 29 C. 116 D. 40
Blizzard [7]
DCA is 116 because x=29, when you plug 29 into x you get 116
5 0
3 years ago
Costs of Attendance
erastovalidia [21]

Answer:

y = 3,224x + 750

Step-by-step explanation:

Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.

Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer

8 0
3 years ago
In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places
erastova [34]

Answer:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

np = 45*0.4= 18 >10

n(1-p) = 45*0.6= 27 >10

For this case we can assume that the population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Where:

\mu_{p}= \hat p = 0.4

\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703

And we want to find this probability:

P(p

And we can use the z score formula given by:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

7 0
3 years ago
Read 2 more answers
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