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3 years ago

Im kind of confused on this practice problem

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

Answer:

v = 124 cm³

Step-by-step explanation:

The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,

v = a³

v = 4³

v = 64

Now, for the rectangular prism.

v = l · w · h

v = 10 · 3 · 2

v = 60

Now, for the total collective volume, simply add up the volumes of the independent shapes.

64 + 60 = 124 cm³

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Shalnov [3]

The greatest GCF would be
$30x {y}^{2}$

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3 years ago

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Calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high

Vsevolod [243]

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

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3 years ago

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TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99$

Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63$

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

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3 years ago

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Step-by-step explanation:

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3 years ago

1. The county fair charges $1.50 per ticket for the rides. Jermaine bought 20 tickets for the rides and spent a total of $48.75

MAVERICK [17]

Answer: Our variable be z for fair admission and our required linear equation will be

$\$1.50x+z=\$48.75$

Explanation:

Since we have given that

Cost per ticket for the rides =$1.50

Total amount she spent = $48.75

Let the total cost be y

Let the number of ride tickets be x

<u>a) Define your variable:</u>

Let the amount spent on fair admission be z

<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>

Our required equation will be

$\$1.50x+z=\$48.75$

Here, number of ride tickets = 20

So,

$20\times 1.50+z=48.75\\\\30+z=48.75\\\\z=48.75-30=18.75$

So, the cost for fair admission = $18.75

7 0

3 years ago