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3 years ago

If h(x) = 2x2 − 10, find h(3)

Mathematics

2 answers:

weeeeeb [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Plug in 3 for x and simplify

2(3)^2 - 10

18-10

Charra [1.4K]3 years ago

5 0

Answer: 8

Step-by-step explanation:

h(3) = 2x^2 - 10

h(3) = 2(3)^2 - 10

h(3) = 2(9) - 10

h(3) = 18 - 10

h(3) = 8

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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 44,663 miles, with a standard

expeople1 [14]

Answer:

The probability is $P(| \= X- \mu| < 199 ) = 0.733$

Step-by-step explanation:

From the question we are told that

The mean mileage of a tire is $\mu = 44663$

The standard deviation is $\sigma = 2594$

The sample size is n = 209

Generally the standard error of mean is mathematically represented as

$\sigma_{x} = \frac{\sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{2594}{\sqrt{209} }$

=> $\sigma_{x} = 179.4$

Generally the probability that the sample mean would differ from the population mean by less than 199 miles is mathematically represented as

$P(| \= X- \mu| < 199 ) = P(|\frac{\= X - \mu}{ \sigma_{x}}| < \frac{199}{ 179.4})$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

=> $P(| \= X- \mu| < 199 ) = P(|Z| < \frac{199}{ 179.4})$

=> $P(| \= X- \mu| < 199 ) = P(|Z|< 1.11)$

=> $P(| \= X- \mu| < 199 ) = P(-1.11 \le Z \le 1.11 )$

=> $P(| \= X- \mu| < 199 ) = P(Z \le 1.11 ) - P( Z \le -1.11 )$

From the z table the area under the normal curve to the left corresponding to 1.11 and -1.11 is

$P(Z \le 1.11 ) = 0.8665$

and

$P(Z \le - 1.11 ) = 0.1335$

$P(| \= X- \mu| < 199 ) = 0.8665 - 0.1335$

=> $P(| \= X- \mu| < 199 ) = 0.733$

8 0

3 years ago

Name and describe two theorems that you can use to prove two triangles are congruent?

Triss [41]

Answer:

The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.

Step-by-step explanation:

found this on varsitytutors.com

7 0

3 years ago

Match each equation with its graph. Use the graph of<br> y= x, shown in red, to help.

My name is Ann [436]

Answer:

igggg

Step-by-step explanation:

hfghggghvvhhhgghu

3 0

3 years ago

Read 2 more answers

Twice a year for 15 years, Warren Ford invested $1,700 compounded semiannually at 6% interest. What is the value of this annuity

-BARSIC- [3]

The value of Warren Ford annuity due is $80,878.21

Define Future Value of an Annuity.

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

Given,

Payment fund semiannually is = $1,700

Rate = 6% or 0.06

Time = 15 years

The future value is,

FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )

Where,

PMT = $1,700

i = 0.06

m = 2

n = 15 * 2 = 30 periods

Now, plug in the values

FV₃₀ = PMT ( (1 + 0.06/2)³⁰ - 1 ) / (0.06/2) )

= $1,700( (1.03)³⁰ - 1 ) / (0.03) )

≈ $80,878.2067 or $80,878.21

Hence, the value of Warren Ford annuity due is $80,878.21

To read more about Future Value

brainly.com/question/27011316

#SPJ1

6 0

1 year ago

6) Evaluate 3/4x if X = -1/4

marysya [2.9K]

Answer: $-\frac{3}{16}$

Step-by-step explanation:

$\frac{3}{4}(-\frac{1}{4} )$

multiply the numberator and denominator:

3*-1 = -3

and

4*4 = 16 so,

$-\frac{3}{16}$ is the answer

7 0

2 years ago

Read 2 more answers