MATHEMATICS HIGH SCHOOL

A school survey of 90 sixth graders showed that 25% of them play basketball and about 17% play soccer. What are the chances that a sixth grader plays basketball AND soccer?

Answers

Answer 1

Answer:

Answer:

0.0425

Step-by-step explanation:

probability of basket player = 0.25

probability of being a soccer player = 0.17

chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425

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Which of the following is equivalent to 3a + 4b – (–6a – 3b) ? A. 16ab
B. –3a + b
C. –3a + 7b
D. 9a + b
E. 9a + 7b

Answers

$3a + 4b - (-6a - 3b) =3a + 4b +6a +3b = 9a +7b \n \n \n Answer : \ E. \ \ 9a + 7b$

Distance between (-3 , -3 ) and (-6 , 1)

Answers

Answer:

Step-by-step explanation:

Using the distance formula, and (-3, -3) as (x1, y1) and (-6, 1) as (x2, y2), we obtain sqrt(9+16) = sqrt(25) = 5.

So, the distance between the two points is 5 units.

Vertical angles must: . . Check all that apply . . A. Be a linear pair. B. Have the same vertex. . C. Be adjacent . D. Be congruent.

Answers

The correct answers are:
B) have the same vertex
C) be congruent.

Explanation:
Vertical angles are defined as opposite angles that share only a vertex. This definition is why B is true.
Since they are opposite angles, that means that the sides of one angle will be opposite the sides of the other; since this is true, the angles must be congruent.

Answer: Vertical angles must have same vertex and be congruent.

Step-by-step explanation:

When two lines crosses each other , the opposite angles are known as vertically opposite angles or vertical angles where "vertical" refers to the vertex .

Also we know that Vertical angles theorem says that vertical angles are always congruent.

Therefore, Vertical angles must have same vertex and be congruent.

What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?

Answers

Answer:

the coefficient of the variable in the given expression is, -3

Step-by-step explanation:

Coefficient states that a number which is used to multiply a variable.

For example:

here, y is the variable and 4 is the coefficient.

As per the statement:

Given the expression:

$4-3x-7+6$

Here, x is the variable

By definition of coefficient, we have;

⇒-3 is the coefficient

Therefore, the coefficient of the variable in the given expression is, -3

the coefficient of the variable in the expression 4-3x-7+6 is 3

Please, look at the photo and give the ansver.

Answers

$\int \limits_1^(\infty)(\ln x)/(x^2)\,dx=\lim_(t\to\infty)\int \limits_1^t (\ln x)/(x^2)\n\n \int (\ln x)/(x^2)\,dx=(*)\n u=\ln x,du=(1)/(x) \n dv=(1)/(x^2),v=-(1)/(x)\n (*)=\ln x\cdot(-(1)/(x))-\int ((1)/(x)\cdot(-(1)/(x)))\, dx=\n -(\ln x)/(x)+\int(1)/(x^2)\, dx=\n -(\ln x)/(x)-(1)/(x)+C\n\n \lim_(t\to\infty)\int \limits_1^t (\ln x)/(x^2)=\lim_(t\to \infty)\left[-(\ln x)/(x)-(1)/(x) \right]_1^t=$
$\lim_(t\to \infty)\left(-(\ln t)/(t)-(1)/(t)-\left(-(\ln 1)/(1)-(1)/(1)\right)\right)=\n \lim_(t\to \infty)\left(-((\ln t)')/(t')\right)-0-(-1)=\n \lim_(t\to \infty)\left(-((1)/(t))/(1)\right)+1=\n \lim_(t\to \infty)\left(-(1)/(t)\right)+1=\n 0+1=\n 1$

Zakary ate 34 hot dogs. jerald ate 30 times as much as zakary did. how many hot dogs did jerald eat?

Answers

1020 hotdogs. Just multiply the two

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