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
Licemer1 [7]
3 years ago
8

How do I factor e^2-10e+25

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer: (e-5)^2

Step-by-step explanation:

The box method is a good way to solve this, but for a quick explanation, start by finding a single value that when added gets -10 and when multiplied gets +25. We can find that this term is -5. We the can situate -5 into (e-5)^2 equation, where if you FOIL, you will be back at the unfactored equation. Hope this helps

You might be interested in
A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
Seven times the sum of a number and three
Sati [7]

Answer:

7(x + 3)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a
dimulka [17.4K]
We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

5 0
3 years ago
Read 2 more answers
What is the slope of the line represented by the equation y = –1/2x+1/4?
max2010maxim [7]

Answer:

A. -½

Step-by-step explanation:

In the Slope-Intercept Formula, <em>y = mx + b</em><em>,</em><em> </em><em>m</em><em> </em>represents the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>], so in this case, the slope is -½.

I am joyous to assist you anytime.

7 0
3 years ago
Please help me I will give you bring me if it’s right
Otrada [13]

Answer:x

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is p-7/12&gt;3/10 please help
    12·1 answer
  • Ok ok THIS is the part 2 to my last question
    15·2 answers
  • The shape of a dome can be modeled by the equation h=2dsquared +100 when h issue height (in feet) of the dome from the floor d f
    15·1 answer
  • Urgent answer would be greatly appreciated. Fractions and dot plots.
    11·1 answer
  • Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise. :) Plz need
    8·1 answer
  • Which equation goes through the point (-7, 3) and is parallel to y = −8x + 1?
    15·1 answer
  • A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
    12·1 answer
  • Write an equation in slope-intercept form of the line through point P(–3, 6) with slope –2.
    6·1 answer
  • Choose the words to complete the statement.
    14·2 answers
  • A wooden block has a mass of 55 grams, correct to the nearest gram. A) Find the least possible mass of the wooden block. B) The
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!