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2 years ago

1. The lengths, in centimeters, of nine earthworms are shown below.

1 answer:

6 0

1. Given the lengths:
3, 4, 5, 5, 6, 7, 8, 9, 10
The median of the data, will be the middle number. From the data shown the middle number is:
B] 6

2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]

3. Given the math test scores of Mrs. Hunter's class, the range is given by:
Range=(maximum value)-(minimum value)
thus:
Maximum value=100
Minimum value=48
therefore plugging in the formula:
Range=100-48=52
Answer: B]

4. From the given heights of 13 plants:
6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.
The IQR is given by:
IQR=(upper quartile)-(lower quartile)
upper quartile=(14+13)/2=13.5
lower quartile=(10+10)/2=10
thus
IQR=13.5-10=3.5
Answer:
A]3.5

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Which quadratic function has Vertex (-1,4) and passes through (4,19) HELP

hichkok12 [17]

Answer:

$f(x)=\frac{3}{5}(x+1)^2+4$

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

$f(x)=a(x-h)^2+k$

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

$f(x)=a(x+1)^2+4$

The parabola also passes through (4,19) hence it must satisfy its equation.

$19=a(4+1)^2+4$

$19-4=a(5)^2$

$15=25a$

We divide both sides by 25 to get:

$a=\frac{15}{25}= \frac{3}{5}$

Hence the quadratic function is:

$f(x)=\frac{3}{5}(x+1)^2+4$

6 0

2 years ago

Jim has for cups of milk he wants to find the number of 1/4 cup serving in his four cups of milk draw a model to find how many 1

IgorC [24]

16 is the answer :)))

5 0

2 years ago

Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w

Darya [45]

Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

P(Charlie Wins)=2/4
P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

P(Lucy Wins)=2/4
P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

$\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|$

Expected Profit

$=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0$

Lucy's expected profit from the game is $0.

7 0

3 years ago

Calculate the highest common factor (HCF) for 64

lord [1]

Answer:

1 2 4 8 16 32 64

Step-by-step explanation:

prime factors of 64 is 2 so

2____64

2____32

2____16

2_____8

2_____4

2_____2

6 0

2 years ago

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Hannah has a aquarium with 25 Liter of water in it.How many milliliters of water are in the aquarium

Vikentia [17]

Answer:

25000

Step-by-step explanation:

25 * 1000 = 25000

8 0

2 years ago

Read 2 more answers