1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jekas [21]
3 years ago
10

A recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a

science class, and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?
0.20
0.28
0.30
0.66

Mathematics
2 answers:
fgiga [73]3 years ago
5 0
Two triangles are similar. Triangle ABC has side lengths of AB = 10, BC = 6, CA = 7. Triangle XYZ has a side length of XY = 8.
Bas_tet [7]3 years ago
4 0
<h3>Answer: Choice A)  0.20</h3>

===================================================

Explanation:

Let's say there are 1000 students. The students must take math, science or they can take both simultaneously.

  • 65% of them are in math. So there are 0.65*1000 = 650 math students.
  • 43% are in science, leading to 0.43*1000 = 430 science students.
  • 13% are in both so we have 0.13*1000 = 130 students who are in both.

Now onto the sentence that says "Suppose a high school student who is enrolled in a math class is selected at random"

This means we only focus on the 650 math students and ignore the 1000-650 = 350 students who aren't in math.

Of those 650 math students, 130 are also in science (since 130 are in both classes).

The probability we're after is therefore 130/650 = 0.20

You might be interested in
The least common denominator of two fractions is 12 If you add the two denominators their sum is 7 What are the denominators
Katarina [22]
4 and 3

The LCM of these two numbers is 12.
Added together, their sum is 7.
4 0
3 years ago
F=e−yi−xe−yj is conservative. find a scalar potential f and evaluate the line integral over any smooth path c connecting a(0,0)
Alexxx [7]
If \mathbf F is conservative, then there is a scalar function f such that

\nabla f(x,y)=\mathbf F(x,y)\iff\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j=e^{-y}\,\mathbf i-xe^{-y}\,\mathbf j


Setting the first components equal to one another, we can integrate both sides to find

\dfrac{\partial f}{\partial x}=e^{-y}\implies f(x,y)=xe^{-y}+g(y)

Differentiating both sides with respect to y gives

\dfrac{\partial f}{\partial y}=-xe^{-y}+\dfrac{\mathrm dg}{\mathrm dy}=-xe^{-y}
\implies\dfrac{\mathrm dg}{\mathrm dy}=0
\implies g(y)=C

so that

f(x,y)=xe^{-y}+C

By the fundamental theorem of calculus, we have that

\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=\int_{\mathcal C}\nabla f\cdot\mathrm d\mathbf r=f(1,1)-f(0,0)=\frac1e
4 0
3 years ago
What is the smallest fractional portion of an inch that you can measure with the ruler shown in Exam Figure A1?
oksano4ka [1.4K]

Answer:

The minimun portion of inches that can be measured with the ruler is 1/16''.

Step-by-step explanation:

The precision , what is the minimun measurement that can be aprecciated by the ruler can be determined counting the number of disivion within 2 units.  To this ruler we can count 16 division bwtween one unit and asecutive one.

3 0
3 years ago
What is the value of -2 1/6 -1 1/4 + 1 3/4<br><br> a. -1 2/3<br> b. -1 1/3<br> c. 2 1/3<br> d. 2 2/3
Zielflug [23.3K]
Answer: a.) -1 2/3
explanation: -2 1/6 - 1 1/4= -13/6 - 5/4= -41/12 ; 1 3/4= 7/4 ; -41/12 + 7/4= -5/3 ; -5/3= -1 2/3
7 0
2 years ago
Can someone help me?​
Vera_Pavlovna [14]

Step-by-step explanation:

a)

a whole circle represents always 360 degrees.

we see the angle J is 72 degrees. the angle K is 90 degrees.

that leaves us for M and L together :

360 - 72 - 90 = 198 degrees.

we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M

on other words : L = 2M

and when we now say

198 = L + M

this means

198 = 2M + M = 3M

M = 66 degrees

and L is then 2M = 2×66 = 132 degrees

b)

again, the whole circle is 360 degrees.

J covers 72 of these 360 degrees.

that is 72/360 of all voting people.

72/360 = 1/5

the total of all voting people was 15840.

so, 1/5 of 15840 is

15840/5 = 3168

that means 3168 people voted for J.

3 0
2 years ago
Other questions:
  • A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
    11·1 answer
  • due in 5 minutes help! :( All CD’s are on sale for 20% this week. The CD is $9.99. What is the original price of the CD?
    13·1 answer
  • Sinplify this expression -3(10x+4y)+6(6x-2y)
    6·1 answer
  • Simple 3c-9d+7c+5d<br> Please help me
    6·1 answer
  • What is the t-intercept of the line shown below?
    5·1 answer
  • If sin 49° is approximately 34, which is closest to the length of NO
    5·1 answer
  • Robin will choose a movie from the Red Box when all movies are in stock. If she
    14·1 answer
  • Quadrilateral army is rotated 90° about the origin
    12·1 answer
  • Ned is driving at 72km/h, at this rate how long (in hours and minutes) will it take him to drive 210km
    6·1 answer
  • can someone please help me find the surface area of the pyramid with an equilateral triangle for a base
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!