At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?

Answer:

4^x + 6^x = 9^x

9^x=9^x

x=x

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2  

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9  

a = -0.9654

Therefore, value of x is -0.9654

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

Learn more about the probabilities here: https://brainly.com/question/24710931

Answer:

Company B

Step-by-step explanation:

Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate

Answer:

company a the rate per window is $75

Step-by-step explanation:

the graph shows company a charges $75 for 1 window

company b (by the chart) charges $55

company c (using the equation) charges $60

35(1)+25=$60 (1 in the equation is the number of windows)

Answer:

its 3

Step-by-step explanation:

4, 20, 100, 500, 2500

Answer:

2500

Step-by-step explanation:

multiply by 5 every time

Answer:

4032 square yards

Step-by-step explanation:

Area is multiplying the numbers together. Like if you were to find the area of a rectangle, you would need to multiply the length and width together. Don't forget to add a label at the end for more credit, such as square yards.

Answer: C

Step-by-step explanation:

C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.

Answer:

−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54

Step-by-step explanation:

Sum is 3 then 5

Answer:

27°

Step-by-step explanation:

117-90=27°

27

sorry for bad sketching

Answer:

The person used 1/10 (one tenth) of the can to paint one chair.

Step-by-step explanation:

If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:

9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.

If a-b=0, a=b, so ab=bb=b^2

Answer:

b^2

Step-by-step explanation:

a - b = 0

Add b to each side

a-b+b = 0+b

a=b

We want to find ab

Replace a with b

b*b

b^2

Answer:

Volume = 144 m³

Step-by-step explanation:

Volume of triangular prism = ½*b*h*l

Where,

Base of triangular base (b) = 4 m

Height of triangular base (h) = 12 m

Length of prism (l) = 6 m

Volume = ½*4*12*6

Volume = 2*12*6 = 144 m³

Answer:

144cm3 is the right answer

Step-by-step explanation:

Oooooooooooooooooofffffffffffffffffffff

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

Answer:

multiple of4is 36 and factor of 28 is 14

hope it helps you

Answer:

Step-by-step explanation:

The multiples of 4 : 4,8,12,16,20,24,28, 32, 36, 40, 44, 48,.....

The factors of 28 : 1,2,4,7,14 and 28

I hope it helps

Answer

Step-by-step explanation:

 yl grafica

Answer:

The slope would be -7

Step-by-step explanation:

To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.

Answer:

[tex]Rate = 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3[/tex]

Required

Determine the average rate of change from -2 to 4

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]a = -2[/tex]

[tex]b = 4[/tex]

So, we have:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{4 - (-2)}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{4 +2}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]

Calculate f(4):

[tex]f(x) = x^2 + 3[/tex]

[tex]f(4) = 4^2 + 3[/tex]

[tex]f(4) = 19[/tex]

Calculate f(-2)

[tex]f(x) = x^2 + 3[/tex]

[tex]f(-2) = (-2)^2 + 3[/tex]

[tex]f(-2) = 7[/tex]

So:

[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]

[tex]Rate = \frac{19-7}{6}[/tex]

[tex]Rate = \frac{12}{6}[/tex]

[tex]Rate = 2[/tex]

The average rate of change is 2.

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]

 In point a:

so, pdf of x =

[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]

In point b:

To find

[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]

In point c:

[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]

In point d:

[tex]\to P(95< x< 110)[/tex]

[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]

Answer:

I cant understand read ur lesson and ask help from ur teacher

#CarryOnLearning

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Gabi has 20

Lauren has 20 * 1 2/5

20*1 2/5 = 20*7/5 = 28

Answer:

Daniel does have enough money to make this car payment

Step-by-step explanation:

Addition and Subtraction

Daniel has an initial balance of $460.63 on this checking account.

He must pay $85.23 for groceries.

The new balance is $460.63 - $85.23 = $375.40

He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.

He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.

Daniel has to make his $264 car payment. The balance is $346.19, thus:

Daniel does have enough money to make this car payment

Answer:

is divisible by((731^3) - (631^3), 100) = True

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)

By Substitution, (731-631) ( 731^2 + 731x631 +631^2)

= 100  ( 731^2 + 731x631 +631^2)

Therefore it is divisible by 100

Answer:

(x, y) = (-38/5, -38/5)

Step-by-step explanation:

6y - 9x = 24

-3y + 2x = 7 $\Rightarrow$ -6y + 4x = 14.

Adding the two equtions together, we get:

(6y - 9x) + (-6y + 4x) = 24 + 14.

Simplifying, we get:

-9x + 4x = 38

-5x = 38

x = -38/5.

So, 6y - 9 * (-38/5) = 24

y = -37/5

Answer:

Step-by-step explanation:

6y - 9x = 24

-6y + 6x = 21

-3x = 45

x = -15

-3y - 30 = 7

-3y = 37

y = -37/3

the answer will be 16x

1 gallon 16x as constant variable

Answer:

Luis leaves home first and he leaves 5 minutes before Bianca

Step-by-step explanation:

dL (distance travelled by Luis) = 900 m

sL(Luis'd speed) = 1.5 m/s

tL = time taken by Luis = dL/sL =  900/1.5 = 600 seconds =  10 mins

So Luis would need to leave home at 8:45 am

dB = 1.5 km = 1500 m

sB = 5 m/s

tB = dB/sB = 1500/5 = 300 seconds = 5 minutes

So Biance would leave home at 8:50 am

Answer:

y= 9-10X/5

Step-by-step explanation:

Plz make me braibliest

Answer:

10x+5y=9 years

or,15xy=9 years

or,xy=15÷9

Ans=6xy.

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7