BRAINLEST and thanks!!

Answer:

Binomial distribution = 0.1026

Normal approximation = 0.1066

Step-by-step explanation:

Given that :

p = 100% - 7% = 0.93

n = 300

1 - p = 0.07

Probability of atleast 285 rooms getting booked :

P(x = x) = nCx * p^x * (1-p)^(n-x)

To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :

P(x ≥ 285) = 0.1026

Using Normal approximation :

Mean (m) = np = 300 * 0.93 = 279

Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42

Using :

Z = (x - m) / s

P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5

Z = (284.5 - 279) / 4.42

= 1.2443

P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)

Answer:

x=4

Step-by-step explanation:

h(x)=-x+4

h(x)-0+4

h(x)=4

Answer:

x = 4

Step-by-step explanation:

Given: [tex]h(x) = - x + 4[/tex]

Solve for x, when: [tex]h(x) = 0[/tex]

◇◇•◇◇

[tex] - x + 4 = 0[/tex]

[tex] - x = - 4[/tex]

[tex]\boxed{\green{x = 4}}[/tex]

Answer:

The numbers 'x' and 'y' are:

[tex]x=56,\:y=36[/tex]

Step-by-step explanation:

Let 'x' and 'y' be the two numbers

As the sum of the two numbers is 92.

so

[tex]x+y = 92[/tex]

Given that One-eighth of the larger number plus one-third of the smaller number is 19.

so

[tex]\frac{1}{8}x\:+\:\frac{1}{3}y=19[/tex]

now solving both equations to determine the numbers 'x' and 'y'.

[tex]\begin{bmatrix}\frac{1}{8}x+\frac{1}{3}y=19\\ x+y=92\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}\frac{1}{8}x+\frac{1}{3}y=19\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:x+\frac{8}{3}y=152[/tex]

[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ x+y=92\end{bmatrix}[/tex]

[tex]x+y=92[/tex]

[tex]-[/tex]

[tex]\underline{x+\frac{8}{3}y=152}[/tex]

[tex]-\frac{5}{3}y=-60[/tex]

[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ -\frac{5}{3}y=-60\end{bmatrix}[/tex]

solve for y

[tex]-\frac{5}{3}y=-60[/tex]

[tex]-5y=-180[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5y}{-5}=\frac{-180}{-5}[/tex]

[tex]y=36[/tex]

[tex]\mathrm{For\:}x+\frac{8}{3}y=152\mathrm{\:plug\:in\:}y=36[/tex]

[tex]x+\frac{8}{3}\cdot \:36=152[/tex]

[tex]x=56[/tex]

Thus, the numbers 'x' and 'y' are:

[tex]x=56,\:y=36[/tex]

The expression (9.6 × 10³) × (6.7 × 10²) can be simplified in scientific notation as  6.432 × 10⁶ , 64.32 × 10⁵ and (9.6 × 6.7) × (10³ × 10²) .

Scientific notation is a means to express values that are either too big or too little to be conveniently stated in decimal form (typically would result in a long string of digits). It is also known as standard form in the UK and scientific form, standard index form, and standard form. Scientists, mathematicians, and engineers frequently utilize this base ten notation because it can make some mathematical operations simpler.

The given expression is : (9.6 × 10³) × (6.7 × 10²)

First we multiply the decimal terms separately.

So  (9.6 × 6.7) = 64.32 and now we multiply the power terms

10³ × 10² = 10²⁺³ = 10⁵ ( By using the properties of exponents)

So in proper scientific notation 64.32 × 10⁵ = 6.432 × 10⁶

Which can also be written as 6.432 × 10⁶ or (9.6 × 6.7) × (10³ × 10²) .

To learn more about scientific notation visit:

https://brainly.com/question/18073768

#SPJ1

Answer:

C

Step-by-step explanation:

The first thing I notice is the slope, which is going down, which means this is for sure a negative slope. So any slopes that just include 5 is now crossed off.  And since the formula goes like y=mx+b, I believe the answer would be C, because it actually follows the formula as it should. If I'm wrong, pick D for sure.

Answer:

y=-5x-2

Step-by-step explanation:

Answer:

7/9=28/y

We move all terms to the left:

7/9-(28/y)=0

Domain of the equation: y)!=0

y!=0/1

y!=0

y∈R

We add all the numbers together, and all the variables

-(+28/y)+7/9=0

We get rid of parentheses

-28/y+7/9=0

We calculate fractions

The required answer is  y = 36 is the value that makes the equation true.

Given that 7 divided by 9=28 divided by y

A proportion is an equation that relates two ratios or fractions, stating that they are equal. It can be used to solve problems involving ratios or to find an unknown value.

To solve a proportion, we use the concept of cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other.

To find the value of y in the equation 7 divided by 9 = 28 divided by y, set up a proportion and solve for y.

The proportion can be written as:

7 / 9 = 28 / y

To solve for y, by cross-multiplication:

7 x y = 9 x 28

Simplifying:

7y = 252

Dividing both sides of the equation by 7:

y = 252 / 7

y = 36

Therefore, the value of y that satisfies the equation 7 divided by 9 = 28 divided by y is y = 36.

Substitute y = 36 into the equation, gives:

7 / 9 = 28 / 36

After simplifying both sides of the equation, we find that both fractions are equal to 4/9.

Hence, y = 36 is the value that makes the equation true.

Learn more about solving equations and proportions click here:

https://brainly.com/question/521845

#SPJ6

Answer:

1/2

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{-\dfrac{4}{3} }}[/tex]

Step-by-step explanation:

Use the slope formula.

Slope:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\sf{\dfrac{-4-0}{-2-\left(-5\right)}=\dfrac{-4}{3}=\boxed{\sf{-\dfrac{4}{3} } }[/tex]

Answer:

[tex]slope=\frac{-4}{3}[/tex]

Step-by-step explanation:

Step 1:  Determine the slope

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{-4-(0)}{-2 -(-5)}[/tex]

[tex]slope= \frac{-4}{-2 + 5}[/tex]

[tex]slope=\frac{-4}{3}[/tex]

Answer:  [tex]slope=\frac{-4}{3}[/tex]

134

-

120

would equal:

14.

Answer: just graph them

Step-by-step explanation: the month is on the x axis and the money/people is in the y axis.

Answer:

its -9 :)

dmdmonjdnkjdnb

Answer:

-9

Step-by-step explanation:

-14+5 = -9

In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:

"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"

Answer: m=2

M stand for measurement

Step-by-step explanation:

(−11,−3);(−6,7)

(x1,y1)=(−11,−3)

(x2,y2)=(−6,7)

Use the slope formula:

m=  y2−y1 /x2−x1

(7−(−3) ) −( 6−(−11) )

= 10 /5

=2

Answer:  m=2

(hope this helps )

Answer: C

Step-by-step explanation: Something Something Of math

Answer:

3/4 = 0.75 1/3 = 0.3333

Step-by-step explanation:

Answer:

363 ft.

Step-by-step explanation:

To calculate the base side which is b we use the trigonometric identity called cosine.

[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]

Since we the answer to the nearest whole number it would be b = 363 ft.

Answer:

4

Step-by-step explanation:

When there is a smaller number to the right side of your number(at the top) that would be your exponent. To find that answer do 4*4*4*4. Which would give you 256.

Answer:

4

Step-by-step explanation:

-6 × (-2/3)

-2 × (-2)

= 4

hope it helpful

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48

Answer:

x=5

Step-by-step explanation:

22 + 4x - 32 < 0

            +32    +32

22 + 4x < 32

-22           -22

2x < 10

divide by 2

x=5

Answer:

tiiiuhhhghhjpjjhhjhgghhuuhh

Answer:

[tex]m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (0, 1)

Step 2: Find slope m

Answer:

5

Step-by-step explanation:

Answer:

8x-9y

Step-by-step explanation:

6x+2x=8x, -11y+2y=9y

Hope this helps plz hit the crown :D

Answer:

The correct answer has a lot of decimals, but the correct answer is 0.008226221. If you want to simply the alternative answer is 0.008

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

multiply it and the answer is x

Step-by-step explanation:

answer x that