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777dan777 [17]
3 years ago
5

The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

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the sum of present ages of a father and his son is 60 years. if both of them live until the son becomes as well as the father is
lora16 [44]

imma say 30. 60 + 60 is 120 and 60-half is 30.

3 0
2 years ago
If a teacher had 10 percent of her students fail, how many would that be if she had 130 students
Nimfa-mama [501]

Answer:

13

Step-by-step explanation:

Multiply 130 by .10, To Multiply a number by a percent you have to move the decimal two places to the left.

6 0
3 years ago
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If the mean time between unscheduled maintenance of LCD displays in a hospital’s CT scan facility is 4000 hours, what is the pro
musickatia [10]
Likely

6000 hours is over the mean average, but it is not impossible that it will not happen.
6 0
3 years ago
sing traditional methods, it takes 108108 hours to receive a basic driving license. A new license training method using Computer
solniwko [45]

Answer:

z_{stat} = -1.50            

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 108

Sample mean, \bar{x} = 107

Sample size, n = 110

Alpha, α = 0.02

Population standard deviation, σ = 7

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{107 - 108}{\frac{7}{\sqrt{110}} } = -1.50

The test statistic is -1.50

8 0
2 years ago
Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
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