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3 years ago

Which equation has all real numbers as solutions? HELLLPP

Mathematics

2 answers:

fenix001 [56]3 years ago

7 0

Answer:

The last answer D

Step-by-step explanation:

Hope this helps. :) :D

Vika [28.1K]3 years ago

6 0

Answer:

3y+1=3y+1

Step-by-step explanation:

ok lets try them out

1. 3y=3y+1

There are no solutions.

2. now 3y=3

y=3 so 1 solution

3. 3y=0

y=0 so 1 solution

4. 3y+1=3y+1

All real numbers are solutions.

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Solve the inequality 9/2 + v > 7/5

statuscvo [17]

Answer:

the answer is -31/20

Step-by-step explanation:

4 0

2 years ago

Which of the following is equal to the product of 32 and 1/4 ?

Oxana [17]

Hey there!

The answer to your question is 8

In math, the "product of" represents multiplication, so we multiply the 2 numbers.

32 x 1/4 = 8

Hope this helps! Good luck, and have a great day!

8 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

For a moving object, the force acting on the object’s acceleration. When a force of 56 N acts on certain object, the acceleratio

ycow [4]

Answer:

force

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The ratio of 1 3/4 to 2 1/2 is equal to the ratio of 14<br> to what number?

Lynna [10]

Answer:

x = 20

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

1 3/4 14

------------ = --------

2 1/2 x

where x is the unknown number.

Converting the mixed numbers to improper fractions, we get:

7/4 14

------ = -----

5/2 x

Here there are two numerators and two denominators. Multiplying all four quantities by 4 will remove some of the fractions:

7 56

------ = -------

10 4x

Cross multiplying, we get:

28 x = 560, or x = 20

7 0

3 years ago