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
REY [17]
3 years ago
6

What is the greatest common factor of 42 70 and 84

Mathematics
1 answer:
Delvig [45]3 years ago
7 0
The greatest common factor would be 14
You might be interested in
Find the sum<br> -2+(-3) =
viva [34]

Answer:

-5

Step-by-step explanation:

-2+(-3)

-2-3

-5

5 0
3 years ago
Read 2 more answers
Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years.
Arada [10]

Answer:

a) 0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799

0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847

The 95% confidence interval would be given by (0.799;0.847)

b) n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79  

And rounded up we have that n=622

c) n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

Part a

\hat p=\frac{823}{1000}=0.823

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799

0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847

The 95% confidence interval would be given by (0.799;0.847)

Part b

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79  

And rounded up we have that n=622

Part c

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

5 0
3 years ago
Factor the trinomial and enter the factorization below. Write each factor as a
asambeis [7]

Answer:

(X+10)(X-3)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many cartons of nails should be purchased to shingle the roof shown in the illustration below?
Natalka [10]
How many cartons of nails it takes to shingle a roof duh
3 0
3 years ago
The sum of the squares of two consecutive integers is 145. Find the two integers.
worty [1.4K]

Answer: The two integers are 8 and 9.

Step-by-step explanation: Let n represent the number.

n^2 + (n + 1)^2 = 145

By foiling, this can be rearranged to:

n^2 + n^2 + 2n + 1 = 145

Subtract 145 from both sides:

2n^2 + 2n - 144 = 0

Divide both sides by 2:

n^2 + n - 72 = 0

Factor the polynomial:

(n + 9)(n - 8) = 0

Solve for n:

n = -9, n = 8

Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.

Now, n = 9 and n = 8.

These are your two integers. Hope this helps!

6 0
3 years ago
Other questions:
  • Which sets of values can be the measures of the exterior angles of a triangle?
    15·1 answer
  • Graph Equation 1: 6x - 3y = 3 Equation 2: 4x - 2y = 8 *
    9·1 answer
  • Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18
    13·1 answer
  • A vehicle uses 1 gallons of gasoline to travel 13 miles. At this rate, how many mile
    13·1 answer
  • Round to the nearest tenth Pythagorean Theorem
    11·1 answer
  • Plsss helpppppppppp if you do, you a cool guy or girl
    9·1 answer
  • Gio ran 5 miles yesterday. This distance is 80% of the distance he planned to run.
    8·2 answers
  • A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh
    10·1 answer
  • Find the percent of change to nearest percent: 56 to 80
    7·2 answers
  • PLSSSS HELPP MEEEE PLSS :((
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!