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3 years ago

Simplify the expression below. 9x + 10 - 2x + 1

Mathematics

2 answers:

yaroslaw [1]3 years ago

7 0

Answer:

Step-by-step explanation: 9x + 10 - 2x +1=

9x + (-2x) +10+1 =

7x + 11

Leokris [45]3 years ago

6 0

Answer:

7x+11

Step-by-step explanation:

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The highest common factor of 12, 24, and 36 is (a) 14 (b) 12 (c) 6 (d) 1

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Answer:

b. 12

Step-by-step explanation:

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A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the f

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Answer:

506 square inches

Step-by-step explanation:

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3 years ago

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Hank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive prop

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Answer:

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Step-by-step explanation:

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y³ + 3y² + ay - 3y² - ay - 27

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In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Svetach [21]

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

$x=507\\n=32601\\\text{Confidence level }=99\%$

The sample proportion is:

$\hat p=\frac{x}{n}=\frac{507}{32601}=0.016$

The critical value of z for 99% confidence level is, z = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

$CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)$

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

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3 years ago

Maya is packing her backpack for hike. In one pocket, she puts in a 1/2 pound bag of trail mix,a water bottle weighing 2 1/8 pou

Rudik [331]

Total weight of three items is 2.875 pounds

Solution:

Given that,

Maya is packing her backpack for hike

From given,

$pound\ bag\ of\ trail\ mix = \frac{1}{2}\ pounds$

$water\ bottle = 2\frac{1}{8}\ pounds = \frac{17}{8}\ pounds\\\\flashlight = \frac{1}{4}\ pounds$

How much weight do these three items add to her backpack?

Add all these together

$Total\ weight = \frac{1}{2} + \frac{17}{8} + \frac{1}{4}\\\\Total\ weight = \frac{1 \times 4}{2 \times 4} + \frac{17}{8} + \frac{1 \times 2}{4 \times 2}\\\\Total\ weight = \frac{4}{8} + \frac{17}{8} + \frac{2}{8}\\\\Total\ weight = \frac{23}{8} = 2.875$

Thus total weight of three items is 2.875 pounds

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3 years ago