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2 years ago

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Mathematics

1 answer:

goldenfox [79]2 years ago

7 0

Answer:

Encourage po

Step-by-step explanation:

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Which triangle is possible?

guajiro [1.7K]

Answer:

(a) 3 ft, 4 ft, 5 ft

Step-by-step explanation:

The triangle inequality requires the sum of the two short sides exceed the long side.

a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible

b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle

c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle

d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)

The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.

7 0

1 year ago

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 u

nasty-shy [4]

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

$y = \frac{1}{x}$

$y' = \frac{1}{x+5} + 2$

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

$(x,y) \to (x + 5,y)$

So, we have:

$y = \frac{1}{x}$

$y_1 = \frac{1}{x + 5}$

Next, translate y1, 2 units up.

The rule is:

$(x,y) \to (x,y+2)$

So, we have:

$y' = y_1 + 2$

$y' = \frac{1}{x + 5} + 2$

Hence, the transformation is:

5 units left and 2 units up

7 0

2 years ago

Construct the 95% confidence interval for the population mean using the appropriate distributions. a. A random sample of 50 peop

SSSSS [86.1K]

Answer: 95% confidence interval would be (26.01,29.39).

Step-by-step explanation:

Since we have given that

n = 50

Mean = 27.7

Standard deviation = 6.12

We need to construct 95% confidence interval for the population.

so, z = 1.96

So, it becomes,

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=27.7\pm 1.96\times \dfrac{6.12}{\sqrt{50}}\\\\=27.7 \pm 1.69\\\\=(27.7-1.69,27.7+1.69)\\\\=(26.01,29.39)$

Hence, 95% confidence interval would be (26.01,29.39).

4 0

3 years ago

What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth of a cubic foot?

alexandr1967 [171]

Answer: V= 9.28×10^5 ft^3

7 0

2 years ago

How do we calculate the vertex of a quadratic in standard form?

kvasek [131]

Answer:

y = a $x^{2}$ + b x + c .

Step-by-step explanation:

Also (How to do it!):

We can find the vertex of a quadratic equation with these steps:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

6 0

2 years ago

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