In a class of 35 students, 15 are seniors, 20 are females, and 7 are both a senior and a female. If I choose a student at random, what is the probability I choose a female or a senior?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

15 + 20 / 35

35/35 = 1 (certain)

The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.

I'm always happy to help :)

Answer 2

Answer:

1.

Step-by-step explanation:

Prob ( Choosing a female) =  20/35

Prob ( Choosing a senior)  = (15)/ 35 =  15/35

Requires probability = 20/35 + 15/35

= 35/35

= 1.


Related Questions

Brainliest for anyone if they get this CORRECT.

Answers

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

PLEASE HELP WHEN YOU SEE THIS

Answers

Answer:

~ m∠1 = 35 degrees ( ° ) ~

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ m∠1 = 180 - 145 = 35 degrees ( ° )

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such      ⇒     m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ 360 = 360

8. This proves that the m∠1 = 35 degrees ( ° )

If y= 1/4x and x = -12, find y.

Answers

Answer:

y = -3

Step-by-step explanation:

y= 1/4x and x = -12

Substitute x=12 into the first equation

y = 1/4(-12)

y = -3

Answer:

-3

Step-by-step explanation:

1/4 x -12

Joanie has $14. Then she got $23 for her birthday. Later she spend $5 on a book. Which number sentence can be used to find m, the amount of money Joanie has now?

A.
14+23-5=m

B.
14+23+5=m

C.
23-14+5=m

D.
23-14-5=m

Answers

Answer A

Step-by-step explanation:14+23-5

A parallelogram piece of paper 40cm by 25cm is cut into small parallelogram 8cm by5cm . How many pieces can be obtained. Step by step please

Answers

step 1- multiply 40 by 25 to get 1000
step2- multiply 8 by 5 to get 40
step3- divide 1000 by 4 to get 250
answer. 250 pieces

A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor

Answers

Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?

Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8? Angle4 and Angle12 Angle2 and Angle10 Angle6 and Angle14 Angle3 and Angle9

Answers

Answer:

Angle 6 and Angle 13

Step-by-step explanation:

Because they are both parallel.

And they intersect at a given line.

Also cut by two transversals.

The angles that are corresponding angles with angle 8 are; Angles 6 and 14

How to find corresponding angles?

Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.

Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;

angles 6, 14, 16.

Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.

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Each big square below represents one hole what percent is represented by the shaded area

Answers

Answer:

  145%

Step-by-step explanation:

There are 100 small squares in each large square. Since 100% is one whole, each small square represents 1%.

Count the shaded small squares. The process is made easier by the fact that there are 10 in a row.

145 small squares are shaded, so the percentage represented is ...

  145%

Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?

Answers

Answer:

Max will choose the wall hanging that is shaped like a trapezoid.

Step-by-step explanation:

To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.

To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.

Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.

Hope this helps! Tell me if you have any other questions:)

Answer:trapezoid

Step-by-step explanation:

The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We assume that the population standard deviation is 100 hours. A random sample of 64 light bulbs from the batch yields a sample mean of 350. a) Construct a 95% confidence interval for the population mean of light bulbs in this batch. b) Do you think that the manufacturer has the right to state that the average life of the light bulbs is 400 hours

Answers

Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]

[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]

[tex](350 -24.5, 350 +24.5)[/tex]

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

The vertex of the graph of f(x) = (x - 3| + 6 is located at

Answers

Answer:

The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)

3

and

6

Step-by-step explanation:

Vertex of graph located at (3,6)

What is vertex?

A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.

Given equation f(x) = |x - 3| +6

after simplifying there will be two equations they are

y = x - 3 + 6 = x +3...….(1)

and y = -(x-3) +6

y = 9 - x...…(2)      

substitute value of equation 2 in eq. 1

9 - x = x + 3

      x = 3 and

substitute value of x in eq. 1

y = x + 3 =3 + 3

y = 6

x = 3, y = 6

Hence the intersecting points of both equation are (3,6)

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What is the length of AC? PLEASE HELP ASAP WILL GIVE BRAINLIEST TY

Answers

Answer:

2.33 units

Step-by-step explanation:

[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey.How many litres of petrol will be left when the car has travelled 360 miles?

without calculator

Answers

Answer:

After travelling 360 miles, 15 litres of petrol will be left.

Step-by-step explanation:

If a car can travel 480 miles with a full tank of 60 liters of petrol, it could be said that each liter of petrol allows to travel 8 miles (480/60 = 8). Therefore, since the driver has driven his car for 360 miles, his tank has spent 45 liters of petrol (360/8 = 45). In conclusion, given that the tank has a capacity of 60 liters and that it was full at the time of departure, having spent 45 liters, 15 liters remain in the tank.

If f(x) and f-1 (x)
are inverse functions of each other and f(x) = 2x+5, what is f-1 (8)?​

Answers

Answer:

For this case we have the following function:

 f (x) = 2x + 5

 Clearing x we have:

 2x = y - 5

 x = (y-5) / 2

 Rewriting:

 f (x) ^ - 1 = (x-5) / 2

 Evaluating x = 8:

 f (8) ^ - 1 = (8-5) / 2

 f (8) ^ - 1 = 3/2

 Answer:

 f (8) ^ - 1 = 3/2

 option 2

Answer:

3/2 B

Step-by-step explanation:

Edge

1/8 cups + what ? Makes 1 1/3 cups

Answers

Answer:

 1  5/24 cups

Step-by-step explanation:

Find the area of the shape
with the radius of 10

Answers

Answer: 314.16

Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?

Answers

Answer:

0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 1400, \sigma = 75[/tex]

What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?

This is the pvalue of Z when X = 1380. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1380 - 1400}{75}[/tex]

[tex]Z = -0.27[/tex]

[tex]Z = -0.27[/tex] has a pvalue of 0.394

0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours

What is the probability of flipping a coin three times and getting either all heads or all tails?

Answers

Answer:

12.5 %

Step-by-step explanation:

Each time you probability of flipping one side is 50%, so when you do this three times (I think of x^3), your probability is going to be 0.5 * 0.5 * 0.5, or 12.5%

Plz help
What does “|” mean in mathematical term
Thanks

Answers

Answer:

Step-by-step explanation:

If you meant " | ", as in |x|, that's "absolute value."  The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."

g(t) = 6t - 1

g ( ) = -7

Answers

Answer:

  g(-1) = -7

Step-by-step explanation:

Put the given value for g(t) into the first equation and solve for t.

  -7 = 6t -1

  -6 = 6t . . . . . . add 1

  -1 = t . . . . . . . . divide by 6

g(-1) = -7

Answer: -1

Step-by-step explanation:

There are 14math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?

Answers

Answer is 7:20

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Answer: 7: 13

The ratio would be 14: 26, however you are most likely asked to simplify it. Which is why the answer would be 7: 13

I hope this helped! :DD

Differentiate the function:
y=x^3+2x-1

Answers

Answer:

y' = 3x² + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 2x - 1

Step 2: Differentiate

Basic Power Rule:                                                                                             y' = 3x³⁻¹ + 1 · 2x¹⁻¹ - 0Simplify:                                                                                                              y' = 3x² + 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

if you know the area How would you find the diameter of a circle?

Answers

Step-by-step explanation:

formular of area circle = pi*

[tex] {? \\ radius}^{2} [/tex]

=> radius =

[tex] \sqrt{area \div pi } [/tex]

diameter = 2* radius.hope this help

David and Amy start at the same point and begin biking in different directions. David is biking west at a speed of 17 miles per hour. Amy is biking south at a speed of 15 miles per hour.

Answers

What is the question you only gave the info

Answer: 1.01 hours. THIS IS CORRECT

SteIf you draw a figure to model the situation, you can think of them as starting at the origin (0,0). After t hours, David will be at the point (−17t,0), and Amy will be at the point (0,−15t):

A line segment on a coordinate plane.

A coordinate plane has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. A line segment labeled D that falls from left to right extends from a solid circle at left-parenthesis negative 17 t comma 0 right-parenthesis to a solid circle at left-parenthesis 0 comma negative 15 t right-parenthesis. A point is plotted at left-parenthesis 0 comma 0 right-parenthesis. All plotted points are labeled with their coordinates.

Using the distance formula, we can find the distance between them as a function of time t:

D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−17t−0)2+(0−−15t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=289t2+225t2‾‾‾‾‾‾‾‾‾‾‾‾‾√=514t2‾‾‾‾‾√=t514‾‾‾‾√

(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 23 and solving for t, we find

t514‾‾‾‾√t=23=23514‾‾‾‾√≈1.01p-by-step explanation:

(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.

Answers

[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when

[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]

[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]

We omit the negative root, since we only care for [tex]y\ge0[/tex].

In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral

[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]

and so the volume is (32√2)/21 π.

Find cos theta, tan theta, and csc theta, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Remember (Soh) (Cah) (Toa). CSC is just the inverse of sine.

The exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

What is cosine of an angle?

In a right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is cosecant of an angle?

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle.

According to the given question.

We have a right angle triangle ABC.

In which

AB = 7

AC = 4

Now by Pythagoras Theorem

[tex]AB^{2} =AC^{2} +BC^{2}[/tex]

⇒ [tex](7)^{2} = (4)^{2} + BC^{2}[/tex]

⇒ [tex]49 = 16 +(BC)^{2}[/tex]

⇒ [tex]49 - 16=BC^{2}[/tex]

⇒ [tex]BC^{2} = 33[/tex]

⇒ [tex]BC=\sqrt{33}[/tex]

In the right angle triangle

Hypotenuse, AC = 7

The side BC is the adjacent side w.r.t angle θ.

And, Side BC is the opposite side w.r.t angle θ.

Therefore,

[tex]tan\theta=\frac{4 }{\sqrt{33} }[/tex]

[tex]cos\theta= \frac{\sqrt{33} }{7}[/tex]

[tex]sin\theta= \frac{4}{7}[/tex]

[tex]cosec\theta=\frac{1}{sin\theta} =\frac{1}{\frac{4}{7} } =\frac{7}{4}[/tex]

Hence, the exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.

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Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer: C

Step-by-step explanation:

[tex]x^2+4x-21\\(x+7)(x-3)[/tex]

Answer: The correct answer is C.

Step-by-step explanation: If you factor the equation using the AC method, you will get this answer. Multiply A by C. For example, you would multiply 4 by 5 to get 20. List the factors of your answer from step two. That is, list pairs of numbers that you could multiply to come up with that answer. For instance, in the case of 20, you would have the following factors: (1, 20), (2, 10), (4, 5).

Find a pair of numbers among the factors that adds up to the B term in the equation. For this example, you must find a pair that adds up to 9. Therefore, you would isolate the pair (4, 5).

Replace the middle term (the B term) with the two numbers from the pair, along with the original variable that went with the B term. For example, you would write: 4x^2 + (4+5)x + 5 = 4x^2 + 4x + 5x + 5.

Group the first two terms and the last two terms together as such: (4x^2 + 4x) + (5x + 5).

Simplify the equation by finding terms that are common for each side. For instance, you would simplify (4x^2 + 4x) + (5x + 5) to 4x(x + 1) + 5 (x + 1). This would further simplify to (4x + 5) (x + 1).

The measure of an angle is 75°. What is the measure of its supplementary angle?

Answers

Answer:

105

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let the unknown angle be x

75+x = 180

Subtract 75 from each side

75+x-75=180-75

x  = 105

someone please help me this is the only question stopping me from graduatin class 2020

Answers

Answer:

EF = 3.43

Step-by-step explanation:

Sin θ = opposite / hypotenuse

Sin 26 = EF / 4.5

0.762 × 4.5 = EF

EF = 3.43

What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)

Answers

Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s

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