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
Blizzard [7]
2 years ago
13

Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
5 0

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? \frac{1}{4} · 1 + \frac{5}{4}

⇒ 1.5 =? \frac{1}{4} + \frac{5}{4}

⇒ 1.5 =? \frac{6}{4}

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? \frac{1}{4} · 12 + \frac{5}{4}

⇒ 4 =? \frac{12}{4}  + \frac{5}{4}

⇒ 4 =? \frac{17}{4} ⇒ Incorrect: this is not a solution for the equation

You might be interested in
Rewrite the linear equation in slope-intercept form.
Serhud [2]
Slope intercept: y=-3/4x+2
3 0
2 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205
Crank

Answer:

P(205-0.3=204.7

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

Step-by-step explanation:

Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info

Where \mu=205 and \sigma=1.5

We can begin finding this probability this probability

P(205-0.3=204.7

For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

And we can find the z scores for each limit and we got:

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

6 0
2 years ago
URGENT...Please help me with this question!!!!!!
Hunter-Best [27]

Answer:

option 2

Step-by-step explanation:

The problem can be solved using Pythagoras' identity for a right triangle.

The angle between due East and due North is 90°

The solution here involves using the Cosine rule.

let x be the direct distance between house and office, then

x² = 17² + 21² - 2(17)(21)cos90° → option 2

Note that since cos90° = 0 the equation reduces to

x² = 17² + 21² ← Pythagoras' identity

6 0
2 years ago
HELP: Cho charges $1500 to build a small deck and $2500 to build a large deck. During the spring and summer, she built 5 more sm
Ludmilka [50]

Answer:

if she build x numbers of large decks, therefore small decks would be (x + 5)

1500*(x+5)+2500x   =23500

1500x+7500+2500x=23500

4000x+7500             =23500

                        4000x=23500-7500

                         4000x=16000

                                  x=4

4+5=9

cho built 4 large decks and 9 small decks

7 0
3 years ago
Question:
Vsevolod [243]

Answer:

13.7 cookies per cup

Step-by-step explanation:

Here, we want to write the constant of proportionality that relates the number of cookies to the

number of flours.

What we do

simply here is to divide the number of cookies by the number of cups of flowers

That would be;

y/x = 48 cookies/3.5 cups = 13.7 cookies per cup

8 0
3 years ago
Read 2 more answers
Other questions:
  • F(x)=2x ​2 ​​ +5√ ​(x+2) ​ ​​f(2)=
    12·1 answer
  • ANSWERRR ILL GIVE YOU BRAINLIST !!!! What type of slope is this line?
    8·1 answer
  • I know the answer I got is wrong help.
    6·1 answer
  • What is the answer ?
    14·2 answers
  • I need the answer to these problem...I’ve been stuck on it the most.
    15·1 answer
  • The total number of fungal spores can be found using an infinite geometric series where a1 = 8 and the common ratio is 4. Find t
    7·1 answer
  • What is the are of a circle that measures 12 ft in diameter?<br>​
    12·1 answer
  • A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
    15·1 answer
  • The monthly membership costs include a $10 basic fee plus $2 for each DVD she rents. Which equation describes v, the number of D
    6·1 answer
  • What is the mass of 18 crayons
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!