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Elan Coil [88]
3 years ago
5

If you have 584 packages of hard candy to rebox for shipment to a discount store and you can pack 12 packages in each box, how m

any boxes will you need ?
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
4 0

Answer:

48.6666 round up to 49

Step-by-step explanation

do 584 divided by 12 equals 48.6666 then round up to 49

xenn [34]3 years ago
3 0

Answer:

49

Step-by-step explanation:

What you do is 584 divided by 12. That will give you 48.6666. You can’t have 48.6666 boxes so you round up. You will need 49 boxes.

You might be interested in
What is the area of this whole figure in square units?
IrinaK [193]
Well, it is a good and interesting question

Such areas could be calculated in a single shoot and also by dividing the whole shape into other shapes and the total area would be the sum of these areas

I prefer the way of a single shoot ...

The figure represents a trapezoid:
its lower base = 21 units
its upper base = 12 units
the normal height between them = 8 units

NOW

The area of a trapezoid = [(sum of bases' lengths) ÷ 2] * height
                                       = [(12 + 21) ÷ 2] * 8 = 132 sq units


Hope that helps
7 0
3 years ago
4. Which expression is equivalent to sin(50)º?
jasenka [17]

Answer:

cos(400)

Step-by-step explanation:

Useful things:

Cofunction identity: sin(x)=cos(90-x)

Sine and cosine have period of 360 degrees.

So sin(50)=cos(40) by cofunction identity.

Since cosine has period of 360 degrees then cos(40)=cos(360+40).

That simplifies to cos(400).

3 0
2 years ago
Help me solve please
Elodia [21]
1. X = 83
2. X = 101
3. X = 24
3 0
3 years ago
Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.
Artyom0805 [142]

Answer:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

X \sim N(75,8)  

Where \mu=75 and \sigma=8

We are interested on this probability

P(X>69)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

4 0
3 years ago
the angle of elevation from a viewer to the top of a flagpole is 50°. the viewer is 40 ft away and the viewers eyes are 5.5 ft f
Margarita [4]

Answer:

53.2 feet

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

tan(50^o)=\frac{AC}{BC} -----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(50^o)=\frac{h}{40}

solve for h

h=(40)tan(50^o)

h=47.7\ ft

therefore

The height of the pole is

h+5.5=47.7+5.5=53.2\ ft

3 0
3 years ago
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