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attashe74 [19]
3 years ago
10

3.

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

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In the middle school coding club, 30% of the members are in 6th grade. If there are 12 sixth graders in the club, how many total
lisov135 [29]

Answer:

40 members

Step-by-step explanation:

Let the total members = x

<u>Given the following data;</u>

Number of sixth graders = 12 members

The mathematical expression is;

\frac {30}{100} * x = 12

0.3x = 12

x = \frac {12}{0.3}

x = 40

<em>Therefore, the total members in the middle school coding club is 40 members</em>.

5 0
3 years ago
Round 4.25 to the nearest tenth
kobusy [5.1K]
The 5 rounds to 3 so it is 4.3
7 0
3 years ago
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What is the difference between a parallelogram and a rhombus
Romashka-Z-Leto [24]
 A parallelogram is a polygon with two sets of opposite, parallel sides.
A rhombus is a type of parallelogram with four congruent sides and angles but no right angles. 

So, all rhombuses are parallelograms, but not all parallelograms are rhombuses.
5 0
3 years ago
Read 2 more answers
Please someone help me with the question
Yuki888 [10]

Answer:

\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}

\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients
  • Exponential Rule [Multiplying]:                                                                      \displaystyle b^m \cdot b^n = b^{m + n}

<u>Calculus</u>

Derivatives

Derivative Notation

eˣ Derivative:                                                                                                           \displaystyle \frac{d}{dx}[e^x] = e^x

Derivative Rule [Product Rule]:                                                                                  \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x \cdot e^x]<u />

<u />\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x \cdot e^{2x}]<u />

<u />

<u>Step 2: Differentiate</u>

<u />\displaystyle \frac{d}{dx}[e^{2x}]<u />

  1. [Derivative] Product Rule:                                                                              \displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x]e^x + e^x\frac{d}{dx}[e^x]
  2. [Derivative] eˣ Derivative:                                                                               \displaystyle \frac{d}{dx}[e^{2x}] = e^x \cdot e^x + e^x \cdot e^x
  3. [Derivative] Multiply [Exponential Rule - Multiplying]:                                  \displaystyle \frac{d}{dx}[e^{2x}] = e^{2x} + e^{2x}
  4. [Derivative] Combine like terms [Addition]:                                                  \displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}

\displaystyle \frac{d}{dx}[e^{3x}]

  1. [Derivative] Product Rule:                                                                              \displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x]e^{2x} + e^x\frac{d}{dx}[e^{2x}]
  2. [Derivative] eˣ Derivatives:                                                                             \displaystyle \frac{d}{dx}[e^{3x}] = e^x(e^{2x}) + e^x(2e^{2x})
  3. [Derivative] Multiply [Exponential Rule - Multiplying]:                                  \displaystyle \frac{d}{dx}[e^{3x}] = e^{3x} + 2e^{3x}
  4. [Derivative] Combine like terms [Addition]:                                                  \displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

8 0
3 years ago
Calculate the P-value for the given scenario. Use 4 decimal places.:
kvv77 [185]

Answer:

The p-value is 0.1867.

Step-by-step explanation:

Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one of its competitors, which is $68,000.

At the null hypothesis we test that the salary is the same of the competitor, that is:

H_0: \mu = 68000

At the alternate hypothesis, we test that it is more than 68000. So

H_a: \mu > 68000

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

68000 is tested at the null hypothesis:

This means that \mu = 68000

A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the population standard deviation is $5500.

This means that n = 20, X = 66900, \sigma = 5500

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{66900 - 68000}{\frac{5500}{\sqrt{20}}}

z = -0.89

P-value:

The pvalue is the probability of finding a sample mean below 66900, which is the pvalue of z = -0.89.

Looking at the z-table, z = -0.89 has a pvalue of 0.1867.

The p-value is 0.1867.

7 0
3 years ago
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