Answer: option 1 is the correct answer
Step-by-step explanation:
Number of times for which the die was rolled is 360. It means that our sample size, n is 360.
The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is
1 - probability of success. It becomes
1 - 1/3 = 2/3
The formula for standard deviation is expressed as
√npq. Therefore
Standard deviation = √360 × 1/3 × 2/3
= √80 = 8.9443
Standard deviation is approximately 8.9
The highest common factor of the numbers 210 and 308 is 4.
<h3>What is the highest common factor?</h3>
The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.
The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-
308 = 2 x 2 x 7 x 11
210 = 2 x 2 x 3 x 17
We can see that the 2 x 2 = 4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.
Therefore the highest common factor of the numbers 210 and 308 is 4.
To know more about HCF follow
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(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y
Answer:
A: 180° B: 360° C: 540°
Step-by-step explanation:
A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.
B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into <u>two triangles</u> we have to do: 180x2 which is 360°.
C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.
Answer:
66763
Step-by-step explanation:
47000*(1+0.105+0.17)+338+6500
