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Firdavs [7]
3 years ago
11

Last year, a toy company made $14,476,375 from sales of a stuffed animal pillow.

Mathematics
2 answers:
Anna [14]3 years ago
7 0
14,000,000 is the answer please give me points
ivolga24 [154]3 years ago
3 0
The amount of sales is $15,000,000 because you round the 4 to a five which make that four a five which means you round up

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The test scores for a group
Tcecarenko [31]

Answer:

4

Step-by-step explanation:

has most number of

5 0
3 years ago
The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.
Ganezh [65]

Answer:

a) 15.866%

b) Middle 95% = 350 ml to 750 ml

c) 0.3829

d) Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.

Required:

a. What percent of men have a bladder volume smaller than 450 ml?

z = 450 - 550/100

= -1

P-value from Z-Table:

P(x<450) = 0.15866

Convert to percentage

0.15866 × 100

= 15.866%

b. Between what volumes do the middle 95% of men’s bladders fall?

Middle 95% falls between 2 standard deviation of the mean

μ ± 2σ

μ - 2σ

550 - 2(100)

= 550 - 200

= 350 ml

μ + 2σ

= 550 + 2(100)

= 550 + 200

= 750 ml

Middle 95% = 350 ml to 750 ml

c. What proportion of male bladders are between 500 and 600 ml?

For 500ml

z = 500 - 550/100

= -0.5

Probability value from Z-Table:

P(x = 500) = 0.30854

For 600ml

z = 600 - 550/100

= 0.5

Probabilty value from Z-Table:

P(x = 600) = 0.69146

Proportion of male bladders are between 500 and 600 ml

P(x = 600) - P(x = 500)

0.69146 - 0.30854

= 0.38292

≈ 0.3829

d. What volumes do the middle 90% of men’s bladder fall?

The z score for middle 90% + / – 1.645

Hence,

1.645 = x - 550/100

1.645 × 100 = x - 550

164.5 + 550 = x

x = 714.5 ml

-1.645 = x - 550/100

-1.645 × 100 = x - 550

- 164.5 + 550 = x

x = 385.5ml

Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

4 0
3 years ago
Write 10/12 in the simplest form
maria [59]
5/6 is the simplest form. you divide 10 and 12 by 2 making 5 and 6.
8 0
4 years ago
Graph the following equations in 4 different colors
marissa [1.9K]

The given equations are linear functions and represent straight lines.

The first equation F(x) = 2x , represent a straight line passing through the origin.

Now, we plot the rest equation using the transformation of the graph.

  • If we add a constant 'a' in the function then it gets shifted upward by 'a' units.
  • If we subtract a constant 'a' in the function then it gets shifted downward by 'a' units.

Using these properties, the second graph gets shifted upward by 6 units. Hence, it passes through (0,6)

Third graph will shift downward by 3 units. Hence, it passes through the point (0,-3)

Fourth graph will shift downward by 5 units. Hence, it passes through the point (0,-5)

The graph of these functions are shown in the same xy-plane in the attached file.


7 0
3 years ago
In triangle ABC, mA= 40°, the length of side AB is 7 cm and the length of side BC is 5 cm. Find the measure of angle C using the
Sauron [17]

Answer:

C = 64.145º

Step-by-step explanation:

The Law of Sines is as follows:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

The problem can be draw as the picture attached.

Now, the values of the sides and angles can be substituted into the Law of Sines, and because all parts are equal, only two are needed:

\frac{sin40}{5} = \frac{sinC}{7}

Next, cross-multiply:

7sin40º = 5sinC

Then, divide both sides by 5:

\frac{7sin40}{5} = sinC

Finally, take the inverse sin of the left side and convert into a decimal:

C = sin^{-1}(\frac{7sin40}{5})

C = 64.145

6 0
3 years ago
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