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3 years ago

Some people took part in a game. The frequency shows information about their scores.

Mathematics

1 answer:

Marizza181 [45]3 years ago

5 0

Answer:

The mean = 17.54

Step-by-step explanation:

Form a table as below;

Interval Frequency{f} Midpoint of frequency{x} fx

1-7 19 4 76

8-10 14 9 126

11-15 15 13 195

16-20 20 18 360

21-35 10 28 280

36-50 13 43 559

Sum 91 1596

The mean of grouped data = Sum of { Interval Midpoint * Frequency } /Sum of frequency

The mean= 1596 / 91

The mean = 17.54

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A-2=-1 + 2a-4-1 send me the work please! (solving equations with variables on both sides)

Vladimir [108]

The value of "a" is 4

Solution:

Given expression is:

$a - 2 = -1 + 2a - 4-1$

The above expression involves variables and constants

A variable is a symbol that represents an unknown number

Here the variable is "a"

Constants are fixed numbers like 1, 2 etc

From given expression:

$a - 2 = -1 + 2a - 4-1$

Move the varibale "2a" from right side to left side of equation

When, 2a is moved from R.H.S to L.H.S, it becomes -2a

$a -2a - 2 = -1 -4-1$

Now move the constant -2 from left side to right side of equation

Similarly, when -2 is moved from L.H.S to R.H.S, it becomes +2

$a-2a = -1-4-1+2$

Now add the variables on left side of equation

$-a = -1-4-1+2$

Now add the constants on right side of equation

$-a = -6+2\\\\-a = -4$

Cancel the negative sign on both sides of equation

$a=4$

Thus the value of "a" is 4

6 0

3 years ago

The spread of a virus can be modeled by exponential growth, but its growth is limited by the number of individuals that can be i

Nesterboy [21]

Answer:

a) growth will reach a peak and begin declining after about 42.6 days. 5000 people will be infected at that point

b) the infected an uninfected populations will be the same after about 42.6 days

Step-by-step explanation:

We have assumed you intend the function to match the form of a logistic function:

$P(t)=\dfrac{Kpe^{rt}}{K+p(e^{rt}-1}$

This function is symmetrical about its point of inflection, when half the population is infected. That is, up to that point, it is concave upward, increasing at an increasing rate. After that point, it is concave downward, decreasing at a decreasing rate.

a) The growth rate starts to decline at the point of inflection, when half the population is infected. That time is about 42.6 days after the start of the infection. 5000 people will be infected at that point

b) The infected and uninfected populations will be equal about 42.6 days after the start of the infection.

4 0

4 years ago

What is 737.303 - 43.866

Tom [10]

Solve by subtracting
737.303-43.866=693.437

8 0

3 years ago

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate

Vitek1552 [10]

Answer:

30.17 cm

Step-by-step explanation:

area of a circular disc=π*r^2

derivative of area=2*π*r

maximum error= derivative * error in radius

i.e . 2*π*r*0.2

6 0

4 years ago

What are the greatest common divisors of these pairs of integers?a. 3⁷. 5³. 7³,2ⁱⁱ.3⁵.5⁹b. 11.13.17, 2⁹.3⁷.5⁵.7³c. 23³ⁱ,23ⁱ⁷d. 4

KatRina [158]

Answer:

a) 3⁵5³.

b) 1

c) 23³

d) 41·43·53

e) 1

f) 1111

Step-by-step explanation:

The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.

For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².

a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.

b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1

c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.

d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53

e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.

f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd

5 0

3 years ago