A local hamburger shop sold a combined total of 805 hamburgers and cheeseburgers on Wednesday. There were 55 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?

Answer:

A. 3.3%

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

250 babies, boys and girls equally as likely:

This means that [tex]n = 250, p = 0.5[/tex].

Mean and standard deviation:

[tex]\mu = E(X) = np = 250*0.5 = 125[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.5*0.5}[/tex]

Probability that out of 250 babies born, 110 or fewer will be boys?

Using continuity correction, this is P(X < 110 + 0.5) = P(X < 110.5), which is the p-value of Z when X = 110.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110.5 - 125}{\sqrt{250*0.5*0.5}}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.033

0.033*100% = 3.3%, so option A.

Answer:

Mean - 9 mode - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 50 median- 6

Step-by-step explanation:

Answer:

MEDIA: 4.8

MEDIANA: 5

MODA: 5

espero que te ayude :)

Answer:

x = -5

Step-by-step explanation:

the answer is -5 sussy baka

This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.

Side note: The r value and slope are both negative, but they aren't equal to one another.

Explanation:

A square has all four sides the same length. So the length and width are the same.

We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.

If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.

[tex]\longrightarrow{\green{ \: n = 30 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{n}{3} - 5 = 5[/tex]

➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]

➼ [tex] \: \frac{n}{3} = 10[/tex]

➼ [tex] \: n = 10 \times 3[/tex]

➼ [tex] \: n = 30[/tex]

Therefore, the value of n is 30.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{30}{3} - 5 = 5[/tex]

✒ [tex] \: 10 - 5 = 5[/tex]

✒ [tex] \: 5 = 5[/tex]

✒ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

im sorry i took long im not the best at math but since 10 equals r im not sure what you need to know but i think its 3+5r=80 i hope this help

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)

x - 7 = x - 7        (notice its the same on both sides of equal sign. Add 7 to both                    sides)

x = x

solution is all real numbers

Part B

5 - 4 - 12 = -4 - 7

-11 = -11

5 + 0 - 12 = 0 - 7

-7 = -7

5 + 5 - 12 = 5 - 7

-2 = -2

Answer:

- 30 is the answer

Step-by-step explanation:

5 multiply 6 - 60​

5 × 6 - 60

= 30 - 60

= - 30

Answer:

(1) ΔMAN ≅ ΔBOY

(2) ΔMAT ≅ ΔRUG

(3) ΔEBN ≅ ΔUHR

(4) ΔTOP ≅ ΔLID

(5) ΔCAT ≅ ΔDOG

(6) ΔITP ≅ ΔLOH

Step-by-step explanation:

The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.

The combinations are:

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

Part (1):

As we are given two triangles.

Side AM = Side OB

Side MN = Side BY

Side AN = Side OY

That means,

ΔMAN ≅ ΔBOY

Part (2):

As we are given two triangles.

Side MA = Side RU

Side MT = Side RG

Side AT = Side UG

That means,

ΔMAT ≅ ΔRUG

Part (3):

As we are given two triangles.

Side EB = Side UH

Side BN = Side HR

Side NE = Side RU

That means,

ΔEBN ≅ ΔUHR

Part (4):

As we are given two triangles.

Side OT = Side IL

Side OP = Side ID

Side PT = Side DL

That means,

ΔTOP ≅ ΔLID

Part (5):

As we are given two triangles.

Side AC = Side OD

Side AT = Side OG

Side TC = Side GD

That means,

ΔCAT ≅ ΔDOG

Part (6):

As we are given two triangles.

Side TP = Side OH

Side IT = Side LO

Side IP = Side LH

That means,

ΔITP ≅ ΔLOH

Answer:

hehe boi

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

This is called Box and Whiskers or box plot.

The box in the middle contains 50% of data and the right end of the box is 75th percentile, you are correct.

25% of data is distributed to the left and 25% of data to the right of the box that is in the middle.

Answer:

OPTION D IS THE ONLY LEGIT OPTION.

Metals have a shiny Lustre but Non metals do Not!

Answer:

D

Step-by-step explanation:

A: false. Some of the non-metals are gasses. They can hardly be classified as shinny.

Some of the metals, though solid, are not exactly shinny either.

B: Most metals conduct heat and electricity to some degree. Non metals don't.

C: The exact opposite is true.

D: I think this is the expected answer.

Answer:

17.83 in

Step-by-step explanation:

2 x 3.14

= 6.28

112 ÷ 6.28= 17.8343949

Whole number is 17.83 in

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Answer:

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Step-by-step explanation:

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

[tex]3(7 + 4) - 8.2 \\ 3 \times 11 - 8.2 \\ 33 - 8.2 \\ \\ = 24.8[/tex]

Step By Step Explanation:

Alternate Forms:

Answer:

[tex]3(7 + 4)-8.2[/tex]

[tex]3*11-8.2[/tex]

[tex]33-8.2[/tex]

[tex]24.8[/tex]

Answer:

24 months

Step-by-step explanation:

Given :

Mean = 48

Standard deviation = 8

Zscore = - 3

Using the relation :

Zscore = (x - mean) / standard deviation

Where, x = score

-3 = (x - 48) / 8

-3 * 8 = x - 48

-24 = x - 48

-24 + 48 = x

24 = x

Score = 24

Answer:

x+80=70°(exterior alternate angles)

x=70-80

x=-10

Answer:

Statement 2: ∠BAC = ∠CZY

Reason 3: Vertically opposite angles

Statement 4: YC = CB

Reason 5: AAS (Angle, Angle, Side)

Reason 6: Corresponding sides, congruent triangles

Answer:

Step-by-step explanation:

1) x-y=18

2) 2x/7-y/4=6

from 1) x=18+y      substituting in 2)

2(18+y)/7-y/4=6

36/7+y(2/7-1/4)=6

y=(6-36/7)/(2/7-1/4)

y=(6/7)/(1/28)

y=24

x=18+y=18+24

x=42

Answer:

Thomas is 28.

Step-by-step explanation:

Let Huilan’s age be “x + 11”

Let Thomas’s age be “x”

x + x + 11 = 67

2x + 11 = 67

2x = 56

x = 28 years

x + 11 = 39 years

Thomas is 28.

The answer is A

One revolution is equal to the circumference of the tire:

C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}

The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:

4,400div frac{44}{7}=4,400times frac{7}{44}=700

700 revolutions.

Answer:

2/3

Step-by-step explanation:

to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format

The slope intercept form of a liner equation is:

Y = mx + b

Where m is slope and b is the y - intercept value.

solving the equation in the problem for y produces :

3x - 3x + 2y = -3x - 5

0 + 2y = 3x - 5

2y = - 3x - 5

2y = -3x - 5

2 2

y = - 3 x - 5

2. 2

Therefore the slope of this line is m = - 3

2

the slope of perpendicular line is the negative inverse of the slope of the line we are given,or

- 1

m

so for our problem the slope of a perpendicular line is - - 2 = 2

3. 3

Answer:

[tex]36[/tex]

Step-by-step explanation:

[tex] {x}^{2} [/tex]

[tex] = {6}^{2} [/tex]

[tex]= (6 \times 6)[/tex]

[tex]= 36[/tex]

Answer:

x/2=3

Step-by-step explanation:

x=6

x/2=?

6/2=3

Therefore,x=3.

The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.

In this question, we assume that x-component of the terminal point is part of a unit circle. Then, we can find the value of y by means of the Pythagorean theorem:

[tex]y = \sqrt{1-x^{2}}[/tex] (1)

If we know that [tex]x = -\frac{5}{8}[/tex] and P is in the second quadrant, then the value of y is:

[tex]y = + \sqrt{1-\left(-\frac{5}{8} \right)^{2}}[/tex]

[tex]y \approx 0.781[/tex]

By trigonometry, we remember the following definitions for the six basic trigonometric functions:

[tex]\sin \theta = \frac{y}{1}[/tex] (1)

[tex]\cos \theta = \frac{x}{1}[/tex] (2)

[tex]\tan \theta = \frac{y}{x}[/tex] (3)

[tex]\cot \theta = \frac{1}{\tan\theta}[/tex] (4)

[tex]\sec \theta = \frac{1}{\cos \theta }[/tex] (5)

[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)

If we know that [tex]x = -\frac{5}{8}[/tex] and [tex]y \approx 0.781[/tex], then the six basic trigonometric functions are, respectively:

[tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex]

The six trigonometric function of [tex]\theta[/tex] are [tex]\sin \theta \approx 0.781[/tex], [tex]\cos \theta = - \frac{5}{8}[/tex], [tex]\tan \theta \approx -1.250[/tex], [tex]\cot \theta \approx -0.800[/tex], [tex]\sec \theta = - \frac{8}{5}[/tex], [tex]\csc \theta \approx 1.280[/tex], respectively.

We kindly invite you to check this question related to trigonometric functions: https://brainly.com/question/6904750

Answer:

[tex](f-g)(x) =x^2 -6x -1[/tex]

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

[tex]f(x) - g(x) = (x^2 - 2x) - (4x + 1)[/tex]

                [tex]= x^2 -2x -4x -1\\=x^2 -6x -1[/tex]

Answer:

Time taken for pump B to empty pool = 1 hour.

Step-by-step explanation:

Given:

Time taken for pump A to empty pool = 4 hour

Time taken together = 48 minutes = 48 / 60 = 4/5 hour

Find:

Time taken for pump B to empty pool

Computation:

Assume;

Time taken for pump B to empty pool = a

1/4 + 1/a = 1 / (4/5)

1/4 + 1/a = 5/4

1/a = 5/4 - 1/4

1/a = (5 - 1) / 4

1/a = 1

a = 1

Time taken for pump B to empty pool = 1 hour.

Answer: 2

Step-by-step explanation:

Sub in 2 to both equations

[tex]2^2-1=-2+5\\4-1=3\\3=3[/tex]

As you see we see that both sides result into 3 (which would be the y) meaning they both intersect when x=2 and y=3

Answer:

220.5 in³

Step-by-step explanation:

Volume = L×W×H

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

Answer:

220.5CM ^3

Step-by-step explanation:

vOLUME = L*W*H

= 10.5*7*3

=220.5