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labwork [276]
3 years ago
10

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i

s 130. What is the theoretical
probability of 5 students from your school being selected as contestants out of 10 possible contestant spots?
Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots?

17.9%

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One year, in school A, 162 students leave and 109 go to university. In school B, 75 students leave and 68 go to university. Comp
eduard

Answer:

in school a , 67.3 % of leaving students go to university.

in school b ,90.7% of leaving students go to university

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang
siniylev [52]
The sum of angles in any quadrilateral, including trapezoid, is 360⁰. 
Because we have <span>an isosceles trapezoid, we have 2 angles with measure 135⁰,
and we have 2 equal acute angles with measure x⁰.
So, we can find value of acute angle,
135*2 +2x =360⁰
270+2x=360
2x=360-270
2x=90
x=45⁰

So, acute angles in trapezoid = 45⁰.
From triangle ABC,
angle ACB =90⁰
angle A=45⁰,
so angle ABC= 180-(90-45)=45⁰
Triangle ABC is isosceles triangle,so |AC| = |CB|= 5 in.

So, longer base AA' = 5+4+5= 14 in

Now, we can find area of trapezoid.
shorter base = 4 in
longer base = 14 in
altitude =h = 5 in
Area of trapezoid =(1/2)(base1+base2)*h
Area of trapezoid = (1/2)(4+14)*5= 9*5=45 in²
Answer is 45 in².
</span>

5 0
3 years ago
A receipe calls for 3/8 cup of chocolate chips and 1 1/2 cups of walnuts. Tameka wants to double the recipe. How many cups of wa
kirill115 [55]

Answer:

3 cups

Step-by-step explanation:

1 1/2 + 1 1/2 = 3

8 0
2 years ago
Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k
-Dominant- [34]

Answer:

k can either be

12

or

−

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

6 0
2 years ago
Find the area of this irregular figure. Please explain in steps how you did it so I know how to do it for the next question plea
Helen [10]
<h3>Answer:   426 square feet</h3>

Work Shown:

A = area of the rectangle

A = length*width

A = 26*15

A = 390 square feet

B = area of the triangle

B = base*height/2

B = 8*9/2

B = 72/2

B = 36 square feet

C = total area

C = A+B

C = 390+36

C = 426 square feet

7 0
1 year ago
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