1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bad White [126]
2 years ago
14

Write the slope- intercept form of the equation

Mathematics
1 answer:
Ierofanga [76]2 years ago
4 0

Answer:

y = -3/4x + 1

Step-by-step explanation:

You might be interested in
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
RUDIKE [14]

Answer:

\%Change = 8.8\%

Step-by-step explanation:

Given

Initial = 51\ cents

Final = 55.5\ cents

Required

Determine the percentage change

Percentage change is calculated as;

\%Change = \frac{Final - Initial}{Initial} * 100\%

\%Change = \frac{55.5 - 51 }{51 } * 100\%

\%Change = \frac{4.5}{51} * 100\%

\%Change = \frac{4.5* 100\%}{51}

\%Change = \frac{450\%}{51}

\%Change = 8.8\%

<em>Hence, the percentage change is approximately 8.8%</em>

6 0
2 years ago
Write an expression for "7 less than y."
lisov135 [29]

Answer:

(y - 7)

Step-by-step explanation:

"7 less than y" means just that.... that you have 7 fewer units then the value of y.

3 0
3 years ago
In October of 2012, Apple introduced a much smaller variant of the Apple iPad, known at the iPad Mini. Weighing less than 11 oun
sveticcg [70]

Answer:

a. f_X(x) = \dfrac{1}{3.5}8.5

b. the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c.  the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e.  86 should have a battery life of at least 9 hours

Step-by-step explanation:

From the given information;

Let  X represent the continuous random variable with uniform distribution U (A, B) . Therefore the probability  density function can now be determined as :

f_X(x) = \dfrac{1}{B-A}A

where A and B  are the two parameters of the uniform distribution

From the question;

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours

So; Let A = 8,5 and B = 12

Therefore; the mathematical expression for the probability density function of battery life is :

f_X(x) = \dfrac{1}{12-8.5}8.5

f_X(x) = \dfrac{1}{3.5}8.5

b. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

The  probability that the battery life for an iPad Mini will be 10 hours or less can be calculated as:

F(x) = P(X ≤x)

F(x) = \dfrac{x-A}{B-A}

F(10) = \dfrac{10-8.5}{12-8.5}

F(10) = 0.4286

the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

The battery life for an iPad Mini will be at least 11 hours is calculated as follows:

P(X\geq11) = \int\limits^{12}_{11} {\dfrac{1}{3.5}} \, dx

P(X\geq11) =  {\dfrac{1}{3.5}} (x)^{12}_{11}

P(X\geq11) =  {\dfrac{1}{3.5}} (12-11)

P(X\geq11) =  {\dfrac{1}{3.5}} (1)

P(X\geq11) = 0.2857

the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

P(9.5 \leq X\leq11.5) =\int\limits^{11.5}_{9.5} {\dfrac{1}{3.5}} \, dx

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} \, (x)^{11.5}_{9.5}

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (11.5-9.5)

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (2)

P(9.5 \leq X\leq11.5) =0.2857* (2)

P(9.5 \leq X\leq11.5) =0.5714

Hence; the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

The probability that battery life of at least 9 hours is calculated as:

P(X \geq 9) = \int\limits^{12}_{9} {\dfrac{1}{3.5}} \, dx

P(X \geq 9) =  {\dfrac{1}{3.5}}(x)^{12}_{9}

P(X \geq 9) =  {\dfrac{1}{3.5}}(12-9)

P(X \geq 9) =  {\dfrac{1}{3.5}}(3)

P(X \geq 9) =  0.2857*}(3)

P(X \geq 9) =  0.8571

NOW; The Number of iPad  that should have a battery life of at least 9 hours is calculated as:

n = 100(0.8571)

n = 85.71

n ≅ 86

Thus , 86 should have a battery life of at least 9 hours

3 0
3 years ago
I really need help and i need to solve this one that says solve &amp; simplify:3/4×2/3
VARVARA [1.3K]

3/4 2/3

This is a multiplication of fractions

1.- Multiply the numerators and the denominators

3/4 x 2/3 = (3x 2) / (4 x 3)

= 6/12

2.- Simplify

= 3/6

= 1/2

4 0
10 months ago
jose jumped 8 1/3 feet. this was 2 1/3 feet farther than lila jumped. how far did lila jump TELL MEH AFTER THIS I GET ON IXL
nika2105 [10]
In this scenario Jose jumped the distance Lila jumped plus 2 1/3 ft, so...

Lilia + 2 1/3 = 8 1/3

subtract 2 1/3 from each side to get Lila by herself

Lila = 8 1/3 - 2 1/3
Lila = 6

Lila jumped 6 feet
5 0
3 years ago
Other questions:
  • Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the
    17·2 answers
  • Find the missing terms in each geometric sequence. 3,12,__,192,__
    9·1 answer
  • A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. you have a cho
    12·1 answer
  • Mulan earns $14 per hour.Write and solve an equation to find how many hours she worked if she earned $112.
    9·1 answer
  • Find the exact value of the following expression. sin(285° - 240°)
    8·1 answer
  • What is the area of the figure in square millimeters and in square centimeters.
    11·1 answer
  • What is the area of the shaded region? Explain please for both #9 and #12
    5·1 answer
  • Can someone help with a really simple median question? tbh i really don't know it :(
    10·2 answers
  • HELP please! ‍♂️<br><br> Last one is 0.5 &lt; x &lt; 1.5<br><br> And none
    9·1 answer
  • Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loa
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!