Answer:
Step-by-step explanation:
Here the earlier price of the video game was $ 49 and now it's being sold for $ 300 . We need to calculate the percentage increase in price .
So the increase in cost is $( 300 - 49 ) = $ 251 .
So we can calculate the % increase as ,
<u>Subst</u><u>ituting</u><u> the</u><u> respective</u><u> values</u><u> </u><u>:</u><u>-</u>
Given that the maximum speed the cheetah can run is 70 mph, then:
distance traveled will be:
distance=speed×time
speed= 70 mph
=(70)/(60)=7/6 mile per minute
time=t min
distance=7/6t miles
b] Given that t=10, then the distance covered in 10 minutes will be:
distance=7/6(10)=11 2/3 miles
c] The cheetah's average round trip will be given by:
average rate=(70+40)/2=110/2=55 mph
The average rate can be said to be 55 mph.
Answer:
Dear user,
Answer to your query is provided below
The least common multiple of 8 and 16 is 16.
Step-by-step explanation:
Steps to find LCM
i. Find the prime factorization of 8
8 = 2 × 2 × 2
ii. Find the prime factorization of 16
16 = 2 × 2 × 2 × 2
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 2 × 2 × 2
LCM = 16
<u>A</u><u>s</u><u> </u><u>w</u><u>e</u><u> </u><u>k</u><u>n</u><u>o</u><u>w</u><u> </u><u>t</u><u>h</u><u>a</u><u>t</u><u> </u>
<u>√</u><u>-</u><u>1</u><u> </u><u>=</u><u> </u><u>i</u>
<u>T</u><u>h</u><u>e</u><u>r</u><u>e</u><u>f</u><u>o</u><u>r</u><u>e</u><u>,</u>
<u>√</u><u>-</u><u>1</u><u>2</u><u> </u><u>=</u><u> </u><u> </u><u>√</u><u> </u><u>(</u><u>3</u><u>×</u><u>2</u><u>×</u><u>2</u><u>×</u><u>-</u><u>1</u><u>)</u>
<u>=</u><u>></u><u> </u><u> </u><u>2</u><u>i</u><u>√</u><u>3</u><u> </u><u>(</u><u>o</u><u>n</u><u> </u><u>p</u><u>u</u><u>t</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u>s</u><u>)</u><u> </u><u>✔️</u>
<h3>
<u>W</u><u>h</u><u>i</u><u>c</u><u>h</u><u> </u><u>i</u><u>s</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>r</u><u>e</u><u>q</u><u>u</u><u>i</u><u>r</u><u>e</u><u>d</u><u> </u><u>a</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u></h3>
<u>H</u><u>O</u><u>P</u><u>E</u><u> </u><u>I</u><u>T</u><u> </u><u>H</u><u>E</u><u>L</u><u>P</u><u>S</u><u> </u><u>Y</u><u>O</u><u>U</u><u> </u><u>M</u><u>A</u><u>T</u><u>E</u><u> </u><u>!</u>
This is the concept of probability and statistics, we are required to calculate the probability of getting a red, blue and black respectively, given that there are 3 red, 8 blue and 7 black beads;
Probability of an event occurring=(Number of ways it can occur)/(Total number of outcomes )
The total number of outcome in our situation is:
3+8+7=18
P(Red)=3/18=1/6
P(Blue)=8/17
P(Black)=7/16
since these occurrence are such that the selection is without replacement, that means they are dependent. The probability of them occurring in that order will be:
P(x)=1/6*8/17*7/16=7/204
The answer is d. dependent; 7/204