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3 years ago

What is the standard form equation of the ellipse that has vertices (-6, 2) and (14, 2) and foci (-3,2) and (11, 2)?

Mathematics

1 answer:

Vaselesa [24]3 years ago

7 0

Answer:học qua rồi nên quên

Step-by-step explanation:

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Sal was accepted to his first choice university. His annual tuition is twice the amount of the scholarship he received. His scho

Goshia [24]

8 thousand dollars because if the scholarship is worth 4,000 then double it and the annual tuition would be 8,000

8 0

3 years ago

Read 2 more answers

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and

yarga [219]

Answer:

Less than 3.6 years.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.8 years, and standard deviation of 1.7 years.

This means that $\mu = 5.8, \sigma = 1.7$

The 10% of items with the shortest lifespan will last less than how many years?

Less than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 5.8}{1.7}$

$X - 5.8 = -1.28*1.7$

$X = 3.6$

Less than 3.6 years.

4 0

3 years ago

Use the figure below to complete the following problem

yarga [219]

Answer:

Step-by-step explanation:

<H + <T = 180

2x+ 60 + x + 30 = 180

3x + 90 = 180

3x = 90

x = 30

<T = x + 30 = 30 + 30 = 60

Answer

<T = 60

6 0

4 years ago

a builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps. How many borders are ne

Ne4ueva [31]

<h2>Number of boards required is 24</h2>

Step-by-step explanation:

A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.

$\texttt{Length of 1 board = }6\frac{1}{4}in\\\\\texttt{Length of 1 board = }\frac{6\times 4+1}{4}=\frac{25}{4}in$

We need to build a fence that is 150 in long.

Length of fence = Number of boards required x Length of 1 board

$150=\texttt{Number of boards required }\times \frac{25}{4}\\\\\texttt{Number of boards required }=\frac{150\times 4}{25}\\\\\texttt{Number of boards required }=6\times 4=24$

Number of boards required = 24

5 0

3 years ago

Find the equation of the tangent line to the curve y=11xex at the point (0,0). the equation of this tangent line can be written

vichka [17]

$y=11xe^x\implies y'=11e^x(x+1)$

When $x=0$ , the slope of the tangent line is $11e^0(0+1)=11$ . The equation of the tangent line in point-slope form is then

$y-0=11(x-0)\implies y=11x$

5 0

4 years ago