please just find the values of a and b , I can do the rest.​

Step-by-step explanation:

g(x)=f(x) +6 is the solution!

The probability that a selected fruity chew length is between 0.8 and 1.5 cm is 0.00578.

A fruity chew's length is normally distributed with random variable X with an average width of 1.2 cm.

The standard deviation is 0.12 cm.

Therefore, mean μ = 1.2 cm and;

Standard deviation, σ = 0.12 cm

Now, the probability is given as:

z =  ( x - μ ) / σ

The probability that the length of a selected fruity chew is between 0.8 and 1.5 cm.

P( 0.8 < x < 1.5 )

For, P( X > 0.8)

z =  ( x - μ ) / σ

z = ( 0.8 - 1.2 ) / 0.12

z =  - 0.4 / 0.12

z = - 3.33

Using the z score table,

P( X > 0.8 ) = 0.99957

For P( x < 1.5),

z = ( x - μ ) / σ

z = ( 1.5 - 1.2 ) / 0.12

z = 2.5

Using the z score table,

P( X < 1.5) = 0.99379

Therefore, the probability is between 0.8 and 1.5 cm will be:

= 0.99379 - 0.99957 = 0.00578

Learn more about probability here:

https://brainly.com/question/13604758

#SPJ9

Answer:

C) The slope must be negative.

Step-by-step explanation:

Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y

Here correlation coefficient is r = -0.81

Since it is negative, that means the slope of least-squares regression line will be negative

Answer:

C. The slope must be negative.

Step-by-step explanation:

The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.

Answer:

11 units of y

Step-by-step explanation:

Let total income be I

We have the two equations

2x + 7y = I   (1)   (exactly afford 2 units of x and 7 units of y)

4x + 3y = I   (2)   (exactly afford 42 units of x and 3 units of y)

Multiply (1) by 2
==> 2(2x + 7y) = 2 x I

==>  4x + 14y = 2I   (3)

Subtract (2) from (3)
(3) - (2)
==> 4x + 14y - (4x + 3y)  = 2I - I

==> 4x  + 14y - 4x - 3y = 2I
==> 14y - 3y = I                          (x terms cancel)

==> 11y = I

This represents an equation where if you buy 11 units of y, it will be your whole income

Answer: 11 units of y

The new balance in Jimmy's account is 324.

An account is a record that records financial transactions concerning a specific asset, liability, equity, revenue, or expense in an accounting system. As the business events take place throughout the course of the accounting period, these records grow and shrink. The general ledger stores each individual account and is used to create financial statements at the end of an accounting period.

ACCORDING TO GIVEN STATEMENT;

Jimmy had a deposited amount of $500

minus $176, per the information provided;

his new balance is $500 minus $176,

= $324.

The new balance in Jimmy's account is 324.

to know more about account visit;

https://brainly.com/question/22804169

#SPJ9

The probabilities for the given situations are:-

a) 1/10

b) 2/5

c) 3/10

d) 1/5

Probability = Number of Favorable Outcomes/Number of outcomes

For a) P( getting 5) = 1/10

b) P( getting less than 5) = 4/10 ,    (Favorable outcomes = 1,2,3,4)

= 2/5

c) P (divisible by 3 ) = 3/10 ,  (Favorable outcomes = 3,6,9)

d) P( divisible by 4) = 2/10 ,  (Favorable outcomes = 4, 8)

= 1/5

So, the probabilities for the given situations are:-

a) 1/10

b) 2/5

c) 3/10

d) 1/5

"Learn more about Probability here-

https://brainly.com/question/251701 "

#SPJ9

Based on the central angle theorem:

1. m<RQS = 100°

2. m<IJH = 70°

3. m<TQR = 100°

The measure of the central angle of a circle is the same as the measure of the intercepted arc, according to the central angle theorem.

1. m<RQS = measure of arc RS [central angle theorem]

Measure of arc RS = 180 - 80

Measure of arc RS = 100°

m<RQS = 100°

2. m<IJH = measure of arc HI [central angle theorem]

Measure of arc HI = 360 - 140 - 150

Measure of arc HI = 70°

m<IJH = 70°

3. m<TQR = measure of arc TR [central angle theorem]

Measure of arc TR = 360 - 120 - 140

Measure of arc TR = 100°

m<TQR = 100°

Learn more about the central angle theorem on:

https://brainly.com/question/27203912

#SPJ1

Answer:

5-4=12x+x

1=13x

1/13=×

The output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).

Given the function in the question;

f(0) equals to the value gotten when 0 replaces all the occurrences of x in the function, this gives an ordered pair of the y-intercept.

f(x) = 3 - 2x

f(0) = 3 - 2(0)

Simplify

f(0) = 3 - 0

f(0) = 3

Therefore, the output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).

Learn more about function composite here: https://brainly.com/question/20379727

#SPJ1

Answer: 160 ounces

Step-by-step explanation:

1 pint=16 ounces

10 pints * 16 ounces/1 pint=

10*16/1=

10*16=160 ounces

Answer:

192.152

Step-by-step explanation:

there in us ounces

Answer:

x=2

Step-by-step explanation:

2x+14=18

2x=18-14

2x=4

x=4/2=2

x=2

hope u understand

Answer:39

Step-by-step explanation:

njhhvhj

The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|

The given parent function is; f(x) = |x|

From the parent function, we have;

When x = 0, f(0) = 0

The graph of the parent function is therefore the red graph.

The location of the vertex of the translated graph is at (x - 2, y + 1)

Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;

(x, y) → (x - 2, y + 1)

Therefore in the image, the coordinates of y = x + 3

Which gives the equation for the translated graph as; y = |x + 3|

Learn more about absolute value functions here:

https://brainly.com/question/21728802

#SPJ1

Answer: ifrkjnvkrhlkv

Step-by-step explanation: yeah

The equation is 2x - 8 + 11 = x + 10

The value of x is 7

The value of RS is 6

The value of RT is 17

From the question, we are to write and solve an equation for x

From the given information,

RS = 2x - 8

ST = 11

RT = x + 10

From above, we can write that

RS + ST = RT

Thus,

2x - 8 + 11 = x + 10

Solve the equation for x

2x - 8 + 11 = x + 10

2x - x = 10 - 11 + 8

x = 7

∴ The value of x is 7

Now,

For the values of RS and RT

RS = 2x - 8

∴ RS = 2(7) - 8

RS = 14 - 8

RS = 6

and

RT = x + 10

RT = 7 + 10

RT = 17

Hence,

The equation is 2x - 8 + 11 = x + 10

The value of x is 7

The value of RS is 6

The value of RT is 17

Learn more on Calculating length here: https://brainly.com/question/28308304

#SPJ1

Answer:

y=-6x+2

Step-by-step explanation:

we know the slope is -6

at -1 it should be at 6

to get 6 to 8 add 2

Answer:

[tex]x=\frac{3\left(-y+6\right)}{7}[/tex]

Step-by-step explanation:

[tex]14x+6y-6y=36-6y\\14x=36-6y\\Divide\\\frac{14x}{14}=\frac{36}{14}-\frac{6y}{14}\\\frac{14x}{14}\\\frac{14}{14}= 1\\\frac{36}{14}-\frac{6y}{14}\\\frac{36-6y}{14}\\36-6y\\6\cdot \:6-6y\\=6\left(6-y\right)\\=\frac{6\left(6-y\right)}{14}\\=\frac{3\left(-y+6\right)}{7}[/tex]

Hope this helps you, and I hope that you get un-stuck! Have a good day.

i hope this helps you

have a nice day

The value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724

As per the given information, you contribute $3000 p.a. and your employer contributes $1500 p.a. to a 401(k)

So, the total amount contributed for 401(k) = $3000+$1500 = $4500 p.a.

This is a case of annuity because fixed amount is contributed each year.

Future value of an annuity is given by a formula = a [tex]\frac{(1+i)^{n} -1}{i}[/tex]    

Where, a = annuity = $4500

i = rate of interest = 8.3% p.a. or 0.083

n = no. of years or periods = 18

Now, substituting the values in the formula,

FV of Annuity =  4500 [tex]\frac{( 1+ 0.083)^{18}-1 }{0.083}[/tex]

 = 4500 [tex]\frac{4.2006 - 1}{0.083}[/tex]

= 4500 × 38.5614

= 173526.3

The future value of 401(K) after 18 years is $173,526

Now, After 40 years no contributions are made to the funds. Therefore, the future value at age 65 (after 25 years):

By applying compound interest formula, the future value = p × [tex](1+i)^{n}[/tex]

Here, p = present value or principal amount = $184,036

i = rate of interest = 8.9% or 0.089

n = no. of years or periods = 25

Substituting  the values:

Future value = $173526 × [tex](1+0.083)^{25}[/tex]

= 173526 × 7.34025

 = 1273724.22

You will have $1,273,424 in the plan at age 65.

Now, The difference between the amount of money you will have accumulated ate the age of 65 and the amount you

contributed (for 18years) in the plan = $1,550,956 – ($4500×18)      

= $1273724 - $81000

= $1,192,724

Hence, the value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724

To know more about Annuity and Contribution - https://brainly.com/question/14294009

#SPJ1

Answer:

before 7 = 10%

after 7 = 90

Step-by-step explanation:

percetanges are part/whole

before 7 there are 15 people (the part) and in total there are 150 (the whole) so divide 15 by 150 and miltiply by 100 to get 10

after 7 there are 135 (the part) and the total is still 150 (the whole) so divide 135 by 150 and multiply by 100 to get 90

Answer:

37+69=106

180/106= 74

Step-by-step explanation:

its 74

Answer: 74°

Step-by-step explanation:

the two angles are first added

the sum of a triangle is 180° so the third angle equal 180- sum of angles.

37+69=106

180-106= 74°

Answer:

b) x=25

Step-by-step explanation:

If B is a midpoint, then segments AB and BC should be equal to each other.  

Then you can make an equation making both segments equal to one another:

2x-8=x+17

2x-x=17+8

x=25

Answer: Rounding error is the difference between a rounded-off numerical value and the actual value. A rounded quantity is represented by a numeral with a fixed number of allowed digits, with the last digit set to the value that produces the smallest difference between the rounded quantity and the actual quantity.

The ball when thrown at initial velocity of 40ft/sec is 10 ft above the moon's surface after approximately 0.09 seconds and 14.73 seconds .

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

The given equation for the height of the ball from the surface after t seconds is given by :

s=-2.7t²+40t+6.5

The initial velocity is 40ft/second.

the height of the ball is 10 ft from the surface.

therefore: s=10

Substituting the value in the equation we get:

10=-2.7t²+40t+6.5

or, -2.7t²+40t-3.5=0

This is a quadratic equation in t . Solving by the quadratic formula we get:

We know that for a equation: ax²+bx+c=0

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]

So using the above equation we get:

[tex]{\displaystyle x={\frac {-40\pm {\sqrt {40^{2}-4(-2.7)(-3.5)}}}{2(-2.7)}}}[/tex]

either x=14.726... or x= 0.088...

Therefore  x≈14.73 and x≈ 0.09

So the ball will be 10 ft above the moon's surface after approximately 0.09 seconds or 14.73 seconds .

To learn more about velocity visit:

https://brainly.com/question/18084516

#SPJ9

Answer:

M= -2

Step-by-step explanation:

13-5=8

2-6=-4

8/-4= -2

The formula for slope is Y2-Y1/X2-X1.

so in this case it would be 13-5 divided by 2-6.

Answer:

Step-by-step explanation:

Point slope formula y - y1 = m( x - x1)

y - 3 = -4(x - 2)

y - 3 = -4x + 8

y = -4x + 11

check

(2,3)

Y = -4x + 11

3 = -4(2) + 11

3 = -8 + 11

3 = 3

Standard form 4x + y = 11

The reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children is 50%.

Number of children for 333 = 111 members

It should be noted that the total members is illustrated as:

= 666 + 111 + 111 + 888

= 1776

Therefore, the reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children:

= 888 / 1776

= 50%.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1