Answer:
x=41.2
Step-by-step explanation:
hope this helps
Answer:
x=41.2
Step-by-step explanation:
First, subtract 7.8 from both sides of the equation, resulting in x-18=23.2
Then, add 18 to both sides of the equation, creating x=41.2
Hope this helps.
B.7/10
C.9/12
D.4/15
Answer:
25 meals
Step-by-step explanation:
All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)
Answer:
Correct answer is option D) drawing the 6 of clubs or the 6 of spades
Step-by-step explanation:
Given that:
A standard deck of 52 playing cards with 4 suits.
A be the event of drawing a card with 6 from the deck.
B be the event of drawing a black card from the deck.
So, event A will have 4 possibilities i.e. {6 of club, 6 of spade, 6 of diamond, 6 of heart}
And event B will have 26 possibilities {Any card (including 6) from club or spade}
Intersection of two sets is defined as the common elements in the two sets.
As per the explanation of the sets and elements in the sets given above:
If we take intersection it will be:
{6 of club or 6 of spade}
Hence, Correct answer is option D) drawing the 6 of clubs or the 6 of spades
The intersection of events A and B is represented by drawing the 6 of clubs or the 6 of spades (D) .
The intersection of events A (drawing a 6) and B (drawing a black playing card) refers to the cards that satisfy both criteria. In this case, event A consists of the card 6 from any suit, while event B consists of the black cards (spades and clubs) from any value. To determine the intersection, we need to find the cards that are both a 6 and black.
Looking at the options given, option D) drawing the 6 of clubs or the 6 of spades represents the cards that satisfy both events. The 6 of clubs and the 6 of spades are black cards and also have a value of 6. Therefore, the intersection of events A and B is represented by option D).
#SPJ3
What is the MAD?
Group of answer choices
6.92 (in thousands of dollars) or $6,920
7.84 (in thousands of dollars) or $7,840
4.35 (in thousands of dollars) or $4,350
8.96 (in thousands of dollars) or $8,960
Answer:
Step-by-step explanation:
To calculate the Mean Absolute Deviation (MAD) for a set of data, follow these steps:
1. Find the mean (average) of the data set by adding up all the values and dividing by the total number of values. In this case, the sum of the values is:
85 + 91 + 93 + 99 + 99 + 99 + 102 + 108 + 110 + 115 = 1001
Dividing 1001 by 10 (the number of values) gives us the mean:
1001 / 10 = 100.1
2. Subtract the mean from each value in the data set and take the absolute value of the result. This gives us the deviation of each value from the mean. For example, the deviation of the first value (85) from the mean (100.1) is:
|85 - 100.1| = 15.1
Repeat this step for all the values in the data set.
3. Calculate the average of these deviations to find the Mean Absolute Deviation. Add up all the deviations and divide by the total number of values. In this case, the sum of the deviations is:
15.1 + 8.9 + 6.9 + 0.9 + 0.9 + 0.9 + 1.9 + 7.9 + 9.9 + 14.9 = 77.1
Dividing 77.1 by 10 (the number of values) gives us the Mean Absolute Deviation:
77.1 / 10 = 7.71
Therefore, the correct answer is not listed among the given options. The MAD for the given data set is approximately 7.71 (in thousands of dollars) or $7,710.
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
The population density is 0.418 bacteria per mm².
A circle's area is the area that it takes up in a two-dimensional plane.
The formula for area of circle is, A = πr², where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.
Given:
Radius= 40 mm
So, Area of petri dish = πr²
= 3.14x(40 mm)²
= 3.14 x 1600 mm²
= 5024 mm²
and, Population Density
= 2100 / 5024
= 0.418 bacteria per mm²
Hence, the population density is 0.418 bacteria per mm².
Learn more about area of circle here:
#SPJ6