what does this mean?

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.

the answer can vary between x=−1 or x=2 or x=−3 or x=3

explanation:

x4−x3−11x2+9x+18=0

Step 1: Factor left side of equation.

(x+1)(x−2)(x+3)(x−3)=0

Step 2: Set factors equal to 0.

x+1=0 or x−2=0 or x+3=0 or x−3=0

x=−1 or x=2 or x=−3 or x=3

Answer: I don't see anything

Step-by-step explanation:

Step-by-step explanation:

The given expression is :

y- 4=-3(x+5)

⇒ y-4 = -3x-15

⇒y+3x = -15 + 4

⇒ y+3x= -11

We need to draw the graph for this equation. The attached figure shows the graph for this equation.

Answer:

The question is incomplete...

Step-by-step explanation:

Answer:

500$+500$=1000$

Step-by-step explanation:

for songs=50×10=500$

for movie=5×100=500$

total=500$+500$=1000$

50x+100y

hope it helps:)

Answer:

64x64x64=262,144

Step-by-step explanation: mark as brainest plsssssssssssssss

Answer:

- 3x - 5

Step-by-step explanation:

(6x-1) -9x-2

=-3x-5

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equation :

4x / 7 - 6 = - 20

4x / 7 = - 20 + 6 (move - 6 to the right hand side, the - sign attached to 6 changes to positive)

4x / 7 = - 14 ( - 20 + 6 = - 14)

4x = - 98 ( multiply both sides by 7 in other to isolate 4x)

x = - 24.5 (Divide both sides by 4, in other to isolate x and obtain it's value).

Answer:

The 95% confidence interval  is  [tex] 17.932  <  \mu <  20  + 22.068[/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma =7 \ inches[/tex]

  The sample size is  n  =  20

  The sample mean is  [tex]\= x = 20[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{7 }{\sqrt{20} }[/tex]

=>    [tex]E = 2.068[/tex]        

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 20  - 2.068  <  \mu <  20  + 2.068[/tex]

=>     [tex] 17.932  <  \mu <  20  + 22.068[/tex]

Answer:

The mode is the value that appears most frequently in a data set

Step-by-step explanation:

so it will be 0 and 5

Answer:

0 and 5

explanation:

Answer:

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

➨ Let (x+2) = a ➩ [tex]xa+1a[/tex]

Then we factor a-term out of the expression ➩ Common Factor ➩ [tex]a(x+1)[/tex]

Then convert from a back to x+2

Thus, our answer would be ➩ [tex](x+2)(x+1)[/tex]

Answer:

the first one

the third one

and the forth one

Step-by-step explanation:

they all add up to the same amount

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:

-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:

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: 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:

20

Step-by-step explanation:

I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.

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:

780

Step-by-step explanation:

We want to use partial quotients in the division problem 858 ÷ 26.

In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.

In this case, the dividend is 858 and the divisor is 26.

Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.

Therefore, the best choice for first number to subtract is 780

Answer: 780

Step-by-step explanation:

The best choice for the division problem will be 780.

Answer:

ITS B GOOD SIR!! I JUST FINISHED THE TEST

Step-by-step explanation:

huhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

The domain of the function is [tex]x\geq 0[/tex]

To understand more, check below explanation.

The input values for which any function is defined, that input values aree known as the domain of function.

For any graph of a function, the x- axis values are the domain of the function.

From the given graph it is observed that, the input values for the function is [tex]x\geq 0[/tex].

Hence, the domain of the function is [tex]x\geq 0[/tex].

Learn more about the domain and range of the function here:

https://brainly.com/question/26098895

Answer:

A) {-1,2,8}

Step-by-step explanation:

fill in all domain values in f(x) and you get:

f(-1) = -1

f(0) = 2

f(2) = 8

The set of results is the range.

Answer:

yes

Step-by-step explanation:

Answer:

6:00 pm

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:

(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:

https://brainly.com/question/4249560