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2 years ago

Regina’s work to find the surface area of a square pyramid from its net is shown below.

Mathematics

2 answers:

viva [34]2 years ago

8 0

Answer:

The 3rd one

Step-by-step explanation:

Novay_Z [31]2 years ago

4 0

Answer:

The Answer is C.

Step-by-step explanation:

Took the test

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Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i

kap26 [50]

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34 45 to 54

1329 2268

1906 1965

2426 1149

1826 1591

1239 1682

1514 1851

1937 1367

1454 2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01$

Compute the z-score for the group "25 to 34" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37$

Compute the mean and standard deviation for the group "45 to 54" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39$

Compute the z-score for the group "45 to 54" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25$

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

8 0

2 years ago

Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.

SOVA2 [1]

Answer the answer to your question is $7.50

3 0

2 years ago

A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is 60 miles.

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = u mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$

While moving against the current, speed = $(u-5)\ mph$

Formula for Distance = Speed $\times$ Time

Distance traveled in each case is same i.e. D.

So,

$D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph$

Now,

$D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}$

So, the distance between two cities is 60 miles.

6 0

2 years ago

Prove algebraically that the recurring decimal 0.472 can be written as 17 36

Katen [24]

Given:

The recurring decimal is $0.47\overline{2}$ .

To prove:

Algebraically that the recurring decimal $0.47\overline{2}$ can be written as $\dfrac{17}{36}$ .

Proof:

Let,

$x=0.47\overline{2}$

$x=0.472222...$

Multiply both sides by 100.

$100x=47.2222...$ ...(i)

Multiply both sides by 10.

$1000x=472.2222...$ ...(ii)

Subtract (i) from (ii).

$1000x-100x=472.2222...-47.2222...$

$900x=425$

Divide both sides by 900.

$x=\dfrac{425}{900}$

$x=\dfrac{17}{36}$

So, $0.47\overline{2}=\dfrac{17}{36}$ .

Hence proved.

8 0

2 years ago

Write a real world problem that can be represented by the equation 3/4c=21

Black_prince [1.1K]

Answer: Real world problem is "A student have c toffee he distribute $\frac{3}{4}$ th part of those toffees to his friends. He gave total 21 toffees to his friend".