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
Katen [24]
3 years ago
5

Write as a product: a2+b2–2ab –25

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:  -a2 - 2ab - b2 + 25  =

 -1 • (a2 + 2ab + b2 - 25)

Final result :

 -a2 - 2ab - b2 + 25

Step-by-step explanation:

You might be interested in
How many times can 95 go into 96
Tanzania [10]

Answer:24 times


Step-by-step explanation:Hi there!  

First of all, division is the opposite of multiplication.  So if I  

divide 72 by 3 I should get 24, since 3*24 = 72.  

(You might notice that our division looks sort of like the  

multiplication:

24

X 3

___

12

60

----

72

just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

2. Make a guess of what the answer will be

3. Check your guess, fix it if you need to

4. "Bring down"

5. Repeat  steps 2-4 until you're out of digits

So for 72 divided by three, the process would go like this:

1. Write the problem

 ----

3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute:  (This lets us ignore the place  

value, etc.)

 ----

3|7?

Now let's ask:  How many times does 3 go into 7?

You can make whatever guess you want.  But since we have a good idea of  

what the answer should be, let's guess 2.  

Now we write the 2 above the 7 like this:

 2

 ----

3|7?

Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

  2

 ----

3| 7?

 -6

 __

  1

We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how  

many times 3 goes into 12, and so on.

Anyway:

  2

 ----

3| 72

 -6 |     <---that's supposed to be an arrow reminding you that we're

 __\ /        bringing down the 2 to make 12

  12        

Ok. So, how many times does 3 go into 12?  Let's guess 4 (sorry, I'm  

cheating since I know the answer already!)

  24

 ----

3| 72

 -6    

  -

  12

Now let's multiply 3 X 4.  Wow! We get 12.  If we subtract 12-12

   24

 ----

3| 72

 -6

  -

  12

-  12

  ---

   0

Now, we can check to make sure that 3 X 24 really does equal 72, and  

we're done.


4 0
3 years ago
WILL MARK BRAINLIEST!! Which of the following ordered pairs are y-intercepts? Check all that apply.
Y_Kistochka [10]
Y intercept is where the line meets the Y axis
So the points shd be in (0,y) form.

So (0,0) (0,-7) (0,-0.25) are the y-intercepts in the following.
8 0
3 years ago
Read 2 more answers
What's the factor of 18 and the sum of -9?
Klio2033 [76]
Factor:-6,-3
-6-3= -9
4 0
2 years ago
Read 2 more answers
A certain geneticist is interested in the proportion of males and females in the population who have a minor blood disorder. In
lord [1]

Answer:

95% confidence interval for the difference between the proportions of males and females who have the blood disorder is [-0.064 , 0.014].

Step-by-step explanation:

We are given that a certain geneticist is interested in the proportion of males and females in the population who have a minor blood disorder.

A random sample of 1000 males, 250 are found to be afflicted, whereas 275 of 1000 females tested appear to have the disorder.

Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportion is given by;

                        P.Q. = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of males having blood disorder= \frac{250}{1000} = 0.25

\hat p_2 = sample proportion of females having blood disorder = \frac{275}{1000} = 0.275

n_1 = sample of males = 1000

n_2 = sample of females = 1000

p_1 = population proportion of males having blood disorder

p_2 = population proportion of females having blood disorder

<em>Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.</em>

<u>So, 95% confidence interval for the difference between the population proportions, </u><u>(</u>p_1-p_2<u>)</u><u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                             of significance are -1.96 & 1.96}  

P(-1.96 < \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < {(\hat p_1-\hat p_2)-(p_1-p_2)} < 1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } ) = 0.95

P( (\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < (p_1-p_2) < (\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } ) = 0.95

<u>95% confidence interval for</u> (p_1-p_2) =

[(\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }, (\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }]

= [ (0.25-0.275)-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{1000}+ \frac{0.275(1-0.275)}{1000}} }, (0.25-0.275)+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{1000}+ \frac{0.275(1-0.275)}{1000}} } ]

 = [-0.064 , 0.014]

Therefore, 95% confidence interval for the difference between the proportions of males and females who have the blood disorder is [-0.064 , 0.014].

8 0
3 years ago
Trapezia ABCD and PQRS are similar.<br> Find the area shaded in green.
avanturin [10]

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ  = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>
  • area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 =  1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

6 0
2 years ago
Other questions:
  • What is 37.81 to the nearest tenth?
    14·1 answer
  • PLEASE HELP!!! WILL MARK BRAINLIEST!!!
    11·2 answers
  • If 5/6 is divided by a certain fraction a/b, the result is 1/4. What is the fraction a/b?
    9·1 answer
  • What is the area of trapezoid QRST?<br>​
    6·2 answers
  • Please answer me now I’m doing a test
    15·1 answer
  • Li buys supplies so he can make and sell key chains. He begins to make a profit only after he sells 4 key chains. What point on
    11·1 answer
  • 4<br> CORIZ<br> What are two multiples that 8 and 16 have in common?
    11·1 answer
  • By visual inspection, determine the best-fitting regression model for the<br><br> scatterplot.
    7·1 answer
  • C/- 1 - 5<br> help me please
    6·1 answer
  • A group of students were surveyed to find out if they like watching television or reading during their free time. The results of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!