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3 years ago

Please help me f(x) =3x^2 + 2x - 1 what is f(5)

Mathematics

2 answers:

Sergio039 [100]3 years ago

6 0

Answer:

Step-by-step explanation:

f(5)=3(5)+2. f(5)=17

damaskus [11]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x) =3x^2 + 2x - 1

what is f(5)

f(5) = 3(5)² + 2(5) - 1

f(5) = 75 + 10 - 1

f(5) = 84

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1 year ago

Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r

ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = $\frac{\sum X}{n}$ = 21.88 ounces

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.201 ounces

n = sample of boxes = 12

$\mu$ = population mean weight

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.</em>

<u>So, 90% confidence interval for the population mean, </u> $\mu$ <u> is ;</u>

P(-1.796 < $t_1_1$ < 1.796) = 0.90 {As the critical value of t at 11 degrees of

freedom are -1.796 & 1.796 with P = 5%}

P(-1.796 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.796) = 0.90

P( $-1.796 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

<u>90% confidence interval for</u> $\mu$ = [ $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $21.88-1.796 \times {\frac{0.201}{\sqrt{12} } }$ , $21.88+1.796 \times {\frac{0.201}{\sqrt{12} } }$ ]

= [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

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2 years ago

As the earth rotates, it travels a distance of 80 miles in 5 minutes. At this constant rate, which equation best represents y, t

solniwko [45]

Answer:

y=16x

Step-by-step explanation:

So, you are given the equation as if y=total distance the earth travels in x minutes. If you are given that you travel 80 miles in 5 minutes, you can plug these value into the variables they are representing and solve for the constant.

Visual:

y=xk y=miles x=minutes k=constant

Plug in your values and you get:

80=5k

Now, you solve for k by diving 5 on both sides, which leaves you with k=16.

Now you plug your value for k into the original equation, leaving you with y=16x

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2 years ago

Given Bold u equals negative Bold i plus Bold j, Bold v equals 10 Bold i minus 2 Bold j, and Bold w equals negative 8 Bold j,

OverLord2011 [107]

Answer: u.(v+w) = -20

Step-by-step explanation:

Given;

u = -i+j

v = 10i-2j

w = -8j

v+w = 10i-2j +(-8j)

v+w = 10i-10j

u .(v+w) = (-i+j).(10i-10j)

= -1×10 + 1 ×-10

= -10-10

u.(v+w) = -20

8 0

3 years ago

Read 2 more answers

The Cooking Club made some pies to sell

Valentin [98]

Answer:

There are 9 pies that the club needed to make.

Since we have given that

Number of pies = 4

Number of pieces cut from each pie = 7

So, total number of pieces they needed = 91

Number of pieces from 4 pies =

so, Number of pieces the club needed to make is given by

Since each pie is cut into 7 pieces.

And number of extra pieces needed = 63

So, Number of pies would be

Hence, there are 9 pies that the club needed to make.

5 0

2 years ago

Read 2 more answers