Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6

Answer:

[tex]P(X\geq 2) = 0.375[/tex]

Step-by-step explanation:

Given

X   ------0 --------1 -------- 2--------- 3

P(X) --.1875 -.4375 ---.3125 --- .0625

Required

Determine [tex]P(X\geq 2)[/tex]

This is calculated as:

[tex]P(X\geq 2) = P(X = 2) + P(X = 3)[/tex]

[tex]P(X\geq 2) = 0.3125 + 0.0625[/tex]

[tex]P(X\geq 2) = 0.375[/tex]

Answer:

x = 25 degrees

Step-by-step explanation:

All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.

180 = 99 + 56 + x

180 = 155 + x

25 = x

The unknown angle is equal to 25 degrees.

Answer:

i think its B

Step-by-step explanation:

Answer:

a) b. 9

b) c. 4

c) d. 4

Step-by-step explanation:

You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic. What are the degrees of freedom for the sample?a. 11 b. 9 c. 10 d. 8

The formula for degree of freedom

= n - 1

n = 10

Degrees of freedom for the sample = 10 - 1

= 9

Option b is correct.

b) With another study, where you also plan on evaluating a mean using the t statistic, you have sample of n =31 that has as SS of 120.

What is the variance for the sample?a. 10.95 b. 14,400 c. 4 d. 2.00

The formula for Variance of a samples = SS(Sum of squares) /n - 1

n = 31

Variance of samples = 120/31 - 1

= 120/30

= 4

Option c is correct

c) For a sample of n =25 that has a sample variance of 400, what is the estimated standard error for the sample?a. 16 b. 17 c. 4.08 d. 4

The formula for standard error =

Standard deviation/√n

We are given Sample variance.

Standard deviation = √400

= 20

Hence, Standard Error = 20/√25

= 20/5

= 4

Option d is correct.

a) The degrees of freedom for the sample is option b. 9.

b) The variance is option c. 4.

c) The standard error is option d. 4.

a.

The formula for degree of freedom

= n - 1

n = 10

Now

Degrees of freedom for the sample should be

= 10 - 1

= 9

b) The variance should be

Since

n = 31

So,

Variance of samples = 120/31 - 1

= 120/30

= 4

c.

The formula for standard error is

= Standard deviation/√n

Here,

Standard deviation = √400

= 20

so, Standard Error = 20/√25

= 20/5

= 4

Learn more about variance here: https://brainly.com/question/24138432

Answer:

x = -3.5

Step-by-step explanation:

Mark brainliest please!!

Answer:

It would cost $2.20

Step-by-step explanation:

If 3 cans = $.55

then 3*4 = 12

soooo 4*.55 = 2.20

Hope this helps!!!

Answer:

∠TPR = right angle

∠SPQ = acute angle

∠QPT = obtuse angle

Step-by-step explanation:

Right angles are 90°, acute angles are angles less than 90°, obtuse angles are angles more than 90°

Answer:

the answer is definitely 11

Step-by-step explanation:

Answer:

4 students got three answers incorrectly.

The number of students got 3 answers incorrect is 4.

A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Now from the given histogram following informations are extracted-

Number of students got 1 answer incorrect = 2

Number of students got 2 answer incorrect = 3

Number of students got 3 answer incorrect = 4

Number of students got 4 answer incorrect = 1  

Number of students got 5 answer incorrect = 2

Thus from above we can conclude that,

Number of students got 3 answer incorrect = 4

Thus, the number of students got 3 answers incorrect is 4.

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Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

The [tex]4^{-4}[/tex] without exponents is 1/256.

Given,

[tex]4^{-4}[/tex]

We need to write the given expression without exponents.

Exponents are power to a base value.

Example:

a² and b³

a and b are base

2 and 3 are exponents.

We can a fraction into an exponents form and vice versa.

Example:

1/a = [tex]a^{-1}[/tex]

We have,

[tex]4^{-4}[/tex]

Changing into a fraction form

= 1/[tex]4^{4}[/tex]

Find [tex]4^{4}[/tex].

[tex]4^{4}[/tex] = 4 x 4 x 4 x 4 = 16 x 16 = 256

Now,

= [tex]4^{-4}[/tex]

= 1/[tex]4^{4}[/tex]

= 1/256

We get,

= 1/256

Thus the [tex]4^{-4}[/tex] without exponents is 1/256.

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Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

Answer:

The value of P(B) for independent events = 0.429

Step-by-step explanation:

Given;

P(A) = 0.7

P(A ∩ B) = 0.3

A and B will be independent if  event A will occur and B will also occur, ie A and B will occur independently.

P(A) and P(B) =  P(A ∩ B)  

[tex]P(B) = \frac{ P(A\ n\ B) }{P(A)}\\\\ P(B) = \frac{0.3}{0.7}\\\\P(B) = 0.429[/tex]

Therefore, the value of P(B) for independent events = 0.429

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer:

c

Step-by-step explanation:

the number line says less than 4 so if you solce for all the equations c will be x<4

Answer:

draw your representation of a 4 characters depicting each Hogwarts house?

Answer:

hmm you are already really good, I'm not sure if you have already but try drawing different perspectives of the head/ neck :)

Answer: it would be half the size

Step-by-step explanation:

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]

[tex]=\dfrac{375}{1664}\approx0.2254[/tex]

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

Answer:

72

Step-by-step explanation:

do 24/2=12x6=72

Answer:

17

Step-by-step explanation:

d = √( (x₂ - x₁)² + (y₂ - y₁)² )

   = √( (14 - 6)² + (19 - 4)² )

   = √( 8² + 15² )

   = √( 64 + 225 )

   =  [tex]\sqrt{289}[/tex]

   = 17

Answer:

SSS

Step-by-step explanation:

We know this triangles are congruent due to SSS because AB is congruent to CD because of the tick marks. AB is also congruent to BC due to the tick marks. BD Is congruent to BD by the reflexive property. Therefore, triangle ADB is congruent to triangle CDB by SSS.

Please mark brainliest if this helped you :)

Answer:

SSS

Step-by-step explanation:

Answer:

The value is [tex]P(X = 3) = 0.1798[/tex]

Step-by-step explanation:

From the question we are told  that

    The rate is  [tex]\lambda = 8.6 \ hr ^{-1}[/tex]

General probability distribution for Poisson distribution is mathematically represented

                [tex]P(X = x) = \frac{(\lambda * t)^{x} }{x!} * e^{-\lambda * t}[/tex]

Given that is in per hour then the unit of t is in hours

Generally  30 minutes   = [tex]0.5 \ hours[/tex]

Generally the probability that 3 customers arrive in the first 30 minutes is mathematically represented

        [tex]P(X = 3) = \frac{( 8.6 * 0.5 )^{3} }{3!} * e^{-8.6 * 0.5 }[/tex]

=>      [tex]P(X = 3) = 0.1798[/tex]

Answer:

Step-by-step explanation:

let the total cost be y

and let the number of weeks be x

Daily Info charges

y=650+80x---------1

People's Paper charges

y=145x---------------2

equating 1 and 2 to solve for x we have

650+80x=145x

650=145x-80x

650=65x

x=650/65

x=10

Therefore the answer is 10 weeks

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

Pythagora's theorem can be used to solve problems like this

Answer:

Correct option: c. 8

Step-by-step explanation:

One-sided Limit

Given a piecewise function, we can find the limit when the variable approaches a specific value in the boundary of two pieces.

Special care must be taken to determine what function will be used to calculate the limit according to the conditions of the independent variable.

The given function p(t) has 3 pieces or subfunctions according to different conditions of t. We need to calculate:

[tex]\lim _{x\to 2^{-}}p(t)[/tex]

We must find the subfunction where a value of t is close to 2 but is less than 2.

The correct subfunction is

[tex]p(t)=t^3\qquad -2\le t\le 2[/tex]

Taking the limit:

[tex]\lim _{x\to 2^{-}}p(t)=\lim _{x\to 2}t^3=2^3=8[/tex]

Correct option: c. 8

Answer:

It would be -16/13x^11y^18.

The standard form of the expression as a monomial  [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is

-16 /3[tex]$ x^5y^6[/tex]

Given,

[tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]

Simplify

[tex]\left(-3 x y^2\right)^3:-27 x^3 y^6 \\[/tex]

[tex]&=-27 x^3 y^6\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]

Simplify

[tex]\left(\frac{-2}{3 x^2 y^3}\right)^4: \frac{16}{81 x^8 y^{12}} \\[/tex]

[tex]&=-27 x^3 y^6 \frac{16}{81 x^8 y^{12}}[/tex]

Apply the fraction rule:

[tex]$\quad a \cdot \frac{b}{c}=\frac{a \cdot b}{c}$[/tex]

∴  [tex]=-\frac{27 x^3 y^6 \cdot 16}{81 x^8 y^{12}}[/tex]

Factor the number:  81 = 27.3

[tex]=-\frac{27 x^3 y^6 \cdot 16}{27 \cdot 3 x^8 y^{12}}[/tex]

Cancel the common factor: 27

[tex]=-\frac{x^3 y^6 \cdot 16}{3 x^8 y^{12}}$$[/tex]

Simplify

[tex]$\frac{x^3}{x^8}: \frac{1}{x^5}$[/tex]

∴ [tex]=-\frac{y^6 \cdot 16}{3 x^5 y^{12}}[/tex]

Simplify the equation,

[tex]$\frac{y^6}{y^{12}}: \frac{1}{y^6}$[/tex]

then we get,

[tex]=-\frac{16}{3 x^5 y^6}[/tex]

Hence, The standard form of the expression as a monomial  [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is   -16 /3[tex]$ x^5y^6[/tex]

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Answer:

The percentage is 68.26%

Step-by-step explanation:

Before we use the empirical rule , we need to find the value of the z-score

Mathematically;

z-score = (x - mean)/SD

Thus;

z-score = (7.85 - 7.45)/0.4 = 0.4/0.4 = 1

So the percentage we want to calculate now is the percentage of values within 1 standard deviation of the mean

According to the empirical rule, 68.26% of values are within 1 standard deviation of the mean

Answer:

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Step-by-step explanation:

Start by plotting the point (−6,−3). Use the slope formula m=rise/run to identify the rise and the run.

m=2

rise/run = 2/1

rise = 2

run = 1

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Answer:

A) 6.28ft

Step-by-step explanation:

r = 3ft

θ = 120°

Arc length = θ ⋅ (2πr/360)

Arc length = 120° ⋅ (2π ⋅ (3/360))

6.2831853

i hope this explains it, pls mark brainliest