How many solutions does this system of equations have?

We are given:

f(x) = 3x + 8

g(x) = -x³

__________________________________________________________

The Concept:

We have to find the values of f(g(3)), which means that we have to apply the function g() on 3 and apply the function f() on the value we get.

Finding f(g(3)):

Finding g(3):

g(x) = -x³

g(3) = -(3)³

g(3) = -27

Finding f(g(3)):

f(x) = 3x + 8

f(g(3)) = 3(g(3)) + 8

f(g(3)) = 3(-27) + 8

f(g(3)) = -81 + 8

f(g(3)) = -73

Hence, f(g(3)) = -73

Answer:

sorry

Step-by-step explanation:

What is probability? Put simply, it is the chance of an event occurring. Probability is often expressed in quantifiable terms as either a percentage or a decimal: for example, the chance of a coin landing as heads is 50% . It is impossible to be certain you can correctly predict whether the coin will land heads or tails, which makes the act of flipping the coin a random event. We can however, calculate the probability of the coin landing heads or tails.

The probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988

Given that Intel's microprocessors have a 1.2 % chance of malfunctioning

The chance or probability of happening ant event  A is given by equation (1)

[tex]\rm Probability\; of \; happening \; of \; event \; A = P(A).........(1) \\The \; Probability \; of \; same \; event \; not \; happening = P(\bar A) = 100 - P(A) ........(2) \\Where \; P(A) \; is\; expressed \; in \%[/tex]

Let one Intel microprocessor be selected at random then from equations (1) and (2) we can write that

P( Malfunctioning of Intel's microprocessor) + P( Non malfunctioning of Intel's microprocessor) = 100 %

According to the given situation  From equations (1) and (2) we can write that

[tex]\rm 1.2\% + P( Non\; malfunctioning\; of \; Intel's\; microprocessor) = 100\% \\ \\ P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 100\% - 1.2 \% \\P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 98.8\% = 0..988[/tex]

So we can conclude that the probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988

For more information please refer to the link given below

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Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

Answer:

⟨SPQ= 90°

Step-by-step explanation:

sides of rhombus are perpendicular to each other

Answer:

so 5.7 square root is 2.45 so minus that by 2K and you get 3.4

Step-by-step explanation:

Answer: First you have to take 20% and make it into a fraction 1/5.

Then you multiply 46.5 and multiply it by 1/5 and get 9.3

Add $46.50 and $9.30 and get $55.80

Step-by-step explanation: Hope this helps!! <3

Answer:

[tex]^8C_0=1[/tex]

Step-by-step explanation:

In this problem, we need to find the value of [tex]^8C_0[/tex].

The formula for the combination is given by :

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

We have,

n = 8 and r = 0

[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]

So, the value of [tex]^8C_0[/tex] is 1.

Answer: I don't see anything

Step-by-step explanation:

Answer:

-70

Step-by-step explanation:

subtract 47 from both sides to get

x = -23 - 47

Answer:

Step-by-step explanation:

x + 47=-23

x + 47 - 47=-23 - 47

x=-70

Answer:

b:q

Step-by-step explanation:

im pretty sure its that. ive learned this before.

if you flipped them so that c and r were facing the same direction, then b and q would be too.

Answer:

-5, -2, 1, 3

Step-by-step explanation:

mark the points on the number line and go from left to right. The points on the left are always less than the right

Answer:

the person above me is right mark me brainiest for being right

Step-by-step explanation:

Answer: It is a function because at any given time the oven was exactly one temperature.

Step-by-step explanation:

It is given that:

At 5:00 p.m., Antonio turned on the oven.

The oven remained at 400°F for 45 minutes until Antonio turned it off.

It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.

Answer:

ok what is it

Step-by-step explanation:

Answer:

ok...ask the questions

Step-by-step explanation:

Answer:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

Step-by-step explanation:

Given that:

NEWER CARS:

Sample size = n1 = 45

Standard deviation s1 = 46

Mean = m1 = 195

OLDER CARS:

Sample size = n2 = 40

Standard DEVIATION s2 = 58

Mean = m2 = 286

Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025

Confidence interval is calculated thus : (newer--older)

(m1 - m2) ± Tcritical * standard error

Mean difference = m1 - m2; (195 - 286)

Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)

Standard error (E) = sqrt((s1²/n1) + (s2²/n2))

E = sqrt((46^2/45) + (58^2/40))

Hence, confidence interval:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

The first sample consists of owners of newer cars

The second sample consists of owner of older cars.

95% confidence interval for difference between both samples' means.

Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.

The CI is given as:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)

Thus,

[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]

Learn more about confidence interval here:

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Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

Answer:

he did a good job

Step-by-step explanation:

Answer:

9 weeks

Step-by-step explanation:

5 x 9= 45

45+16=61

5x9+16=61

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

Answer:

Y intercept=(0,8)

Step-by-step explanation:

Answer:

[tex] h = 3\sqrt{3} [/tex]

[tex] c = 4\sqrt{2} [/tex]

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

[tex] tan(60) = \frac{h}{3} [/tex]

[tex] \sqrt{3} = \frac{h}{3} [/tex] (tan 60 = √3)

Multiply both sides by 3

[tex] 3\sqrt{3} = h [/tex]

[tex] h = 3\sqrt{3} [/tex]

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

[tex] cos(45) = \frac{c}{8} [/tex]

[tex] \frac{\sqrt{2}}{2} = \frac{c}{8} [/tex] (cos 45 = √2/2)

Multiply both sides by 8

[tex] \frac{\sqrt{2}}{2} \times 8 = c [/tex]

[tex] \sqrt{2} \times 4 = c [/tex]

[tex] c = 4\sqrt{2} [/tex]

Answer:

72.2

Step-by-step explanation:

The mean of the data is 78.98.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

For example,

To calculate the mean,

= (3 + 11 + 4 + 6 + 8 + 9 + 6 = 47). Then you divide the total sum by the number of scores =(47 / 7 = 6.7).

Given:

Data: 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.

Now, the mean of the data

= Sum of data/ Total number of data

= 78.1+ 79.2+ 78.9+ 80.2+ 78.3+ 78.8+ 79.4 / 7

= 552.9/7

= 78.98

Hence, the mean of the data is 78.98.

Learn more about Mean here:

https://brainly.com/question/15323584

#SPJ2

Answer:

12375

Step-by-step explanation:

one rotation: 495

25 rotations x 495 seconds

12375  seconds

Answer:

12, 375

Step-by-step explanation:

Multiply

Answer:

Step-by-step explanation:

 U bot. Nub

Answer:

No

Step-by-step explanation:

30% of $75 is $22.50 (0.3×75=22.5)

$75+$22.50=$97.50, not $100

So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.

Answer:

no

Step-by-step explanation:

Answer:

the first one

the third one

and the forth one

Step-by-step explanation:

they all add up to the same amount

Answer:

20

Step-by-step explanation:

the third multiple of 6 is 18

20 = 2+18

and it's also a multiple of 2 and 5

Answer:

5x2 -2

Step-by-step explanation:

when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend

Answer:

I think it is all false. 45 minutes is 19 and 55 is 23

Answer:

2t + 9

Step-by-step explanation:

5 and 4 are like terms. 3t and -t are like terms

= 2t + 9

or 9 + 2t

Answer:

2t + 9

Step-by-step explanation:

5 + 4 = 9

3t - 1t = 2t

Answer:

60/2.5 = 24 cm

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Answer:

The answer is 24 inches.

Step-by-step explanation:

Given:

1 inch = 2.5 cm

or, 1 cm = 1/2.5 inch............... eqn (i)

Now,

Wideness of envelope = 60 cm

= 60 (1/2.5) inches [From eqn (i)]

= 60/2.5 inches

= 24 inches Ans