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3 years ago

Apply the distributive property to create an equivalent expression. (1−2g+4h)⋅5

Mathematics

1 answer:

alex41 [277]3 years ago

5 0

Answer:

Step-by-step explanation:

distribute 5 in parenthesis means you multipy each term by 5

5*1-5*2 g+5*4h = 5-10g+20h

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A new battery is expected to have a storage capacity of 60 ampere-hour (A h). A sample is tested, resulting in a 2-side confiden

antoniya [11.8K]

Answer:

Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %

Step-by-step explanation:

We are given the following in the question:

Mean storage capacity = 60 ampere-hour

95% confidence interval =

$63\leq \mu \leq 72$

Thus, the correct answer based on the confidence interval is

Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %

Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah

Thus, the battery storage is different from 60 Ah because the mean storage capacity does not lie in the 95% confidence interval.

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3 years ago

What is the quotient?

Zepler [3.9K]

Answer:

= $\dfrac{1}{5^{9}}$

Step-by-step explanation:

When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.

So we have:

$\dfrac{5^{-6}}{5^{3} }$

= $5^{-6 - 3}$

= $5^{-9}$

Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.

= $\dfrac{1}{5^{9}}$

7 0

3 years ago

Read 2 more answers

Greenville County, South Carolina, has 461,299 adult residents, of which 59,969 are 65 years or older. A survey wants to contact

Salsk061 [2.6K]

The proportion would be the number of the sample (x) over the population size (n)

Here we have x = 59,969 and n= 461,299

P = x/n = 59969/461299

P = 0.13

5 0

3 years ago

Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

? Don't Send links, don't Write random things and get the points for free.

alekssr [168]

Answer:

$V = 1847.26\ ft^3$

Step-by-step explanation:

Step 1: Determine the volume

$V=\pi r^2h$

$V = \pi *(7\ ft)^2 * (12\ ft)$

$V = \pi *49\ ft^2 * 12\ ft$

$V = \pi * 588\ ft^3$

$V = 1847.26\ ft^3$

Answer: $V = 1847.26\ ft^3$

6 0

2 years ago