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3 years ago

12

Jack says ‘3 and 13 are both prime numbers, all whole numbers that end in 3 a prime numbers’. Write down an example that proves

that this statement is not true

1 answer:

Usimov [2.4K]3 years ago

3 0

A seven is a prime number because you can't divide it. 33 is a composite number because three can go into 33.

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A researcher computes the definitional formula for SS, and finds that Σ(x − M) = 44. If this is a sample of 12 scores, then what

olga_2 [115]

Answer:

Option B.

Step-by-step explanation:

Given information:

Σ(x − M) = 44

where, M is mean.

Sample size = 12

The computational formula for sample variance is

$s^2=\dfrac{\sum (x-M)^2}{N-1}$

where, M is sample mean and N is sample size.

Substitute Σ(x − M) = 44 and N=12 in the above formula.

$s^2=\dfrac{44}{12-1}$

$s^2=\dfrac{44}{11}$

$s^2=4.0$

The sample variance is 4.0.

Therefore, the correct option is B.

5 0

3 years ago

Each leg of a 45 45 90 triangle measures 12cm, what is the length of the hypotenuse

erastova [34]

Answer:

12√2

Step-by-step explanation:

Use the Pythagorean Theorem here:

(12 cm)^2 + (12 cm)^2 = 288 cm^2.

The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2

8 0

3 years ago

Read 2 more answers

Round your answer to the nearest hundredth

nalin [4]

Answer:

A = arctan(BC/CA) = arctan(8/2) = 75.96 deg

Hope this helps!

:)

3 0

2 years ago

Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuánt

Nataly [62]

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;

$\frac{x}{y} =\frac{2}{1}$

$x=2y$ -------------- [equation 1]

The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;

$\frac{x+4}{y+4}=\frac{8}{6}$

$6({x+4})=8}(y+4)$

$6x+24=8y+32$

$6(2y)+24=8y+32$

$12y-8y=32-24$

$4y=8$

$y=\frac{8}{4}$ = 2 years

Putting the value of y in equation 1 we get;

x = 2y

x = $2 \times 2$ = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

3 0

3 years ago

What is 2 + 2, minus 4?

Archy [21]

Answer:

0

Step-by-step explanation:

2 + 2 = 4 and then 4 - 4 = 0

8 0

2 years ago

Read 2 more answers