Mathematics College

A basketball player practices free throws by shooting 50 free throws a day. she records the number of free throws made each day. her number of free throws made is normally distributed with a mean = 34 free throws and standard deviation = 5 free throws. using appropriate rule learned in lesson 10, approximately what percent of the days does she make less than 29 free throws?

Answers

Answer 1
46 percent on free throws
Answer 2

Answer: 46%

Step-by-step explanation:

Related Questions

convert 82 into a fraction and decimal

Answers

82 in a fraction would be 82/100, it could also be 41/50

82 as a decimal would be 82.00. Like money
82 in a fraction = 82/100
82 into a decimal = .82

the width of a rectangle is X and the length is twice he width. if the area of the rectangle is 162, what is X?

Answers

Final answer:

To find the value of X in a rectangle with width X and length 2X, we can use the area formula. By solving the equation, we find X = 9, making the width of the rectangle 9 units.

Explanation:

To find the value of X, we need to use the given information about the length and width of the rectangle. Let's assume the width of the rectangle is X. Since the length is double the width, it is 2X. The area of the rectangle is given as 162, so we can set up the equation:

Width × Length = Area

X × 2X = 162

Simplifying the equation, we get:

2X^2 = 162

Dividing both sides by 2, we have:

X^2 = 81

Taking the square root of both sides, we find:

X = ±9

Since the width cannot be negative, the value of X is 9. Therefore, the width of the rectangle is 9 units.

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Final answer:

The width of the rectangle is 9 units.

Explanation:

To find the width of the rectangle, we can set up the equation for the area. The width of the rectangle is X, and the length is twice the width, meaning the length is 2X. The formula for the area is length times width, so we have X * 2X = 162. Simplifying this equation gives us 2X^2 = 162. Dividing both sides by 2 gives us X^2 = 81. Taking the square root of both sides gives us X = 9. Therefore, the width of the rectangle is 9 units.

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Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32

Answers

they go up by 12
17-5=12
22-10=12
27-15=12
32-20=12

find × if m<1=2×+10 and m<2=3×-6

Answers

∠1 = ∠2
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x

Selection B is appropriate.

Trig: Use a half angle formula to find the exact value of the expression?

cos(5pi/12)

Answers

I believe that the correct answer would be 0.999739299
5 * 3.14 = 15.7
15.7/12 = 1.308333333
cos(1.308333333)
0.999739299

The correct answer is [tex]\frac{1}{2}[/tex].

To find the exact value of [tex]\cos(5\pi/12)[/tex] using a half-angle formula, we can follow these steps:

[tex]\cos(2\theta) = 2\cos^2(\theta/2) - 1[/tex]

Substituting [tex]\theta = 5\pi/6[/tex], we get:

[tex]\cos(5\pi/3) = 2\cos^2(5\pi/12) - 1[/tex]

[tex]\cos^2(5\pi/12) = \frac{\cos(5\pi/3) + 1}{2}[/tex]

[tex]\cos(5\pi/3) = \cos(\pi/3 + \pi) = -\cos(\pi/3)[/tex]

[tex]\cos(\pi/3) = \frac{1}{2}[/tex]

[tex]\cos(5\pi/3) = -\frac{1}{2}[/tex]

[tex]\cos^2(5\pi/12) = \frac{-\frac{1}{2} + 1}{2} = \frac{1}{4}[/tex]

[tex]\cos(5\pi/12) = \pm\sqrt{\frac{1}{4}} = \pm\frac{1}{2}[/tex]

Since cosine is an even function, we take the positive value.

[tex]\cos(5\pi/12) = \frac{1}{2}[/tex]

Therefore, the exact value of [tex]\cos(5\pi/12)$ is $\frac{1}{2}[/tex].

Complete question:

Use a half angle formula to find the exact value of the expression?

[tex]\cos(5\pi/12)[/tex]

I need help!!! Pleasssse!!!!

The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal

Answers

The sum of the length and width ratio units is 6+2 = 8. Since this stands for 24 cm, each ratio unit stands for 3 cm. The actual dimensions are
  18 cm : 6 cm : 21 cm

The surface area (S) is given in terms of length (L), width (W), and height (H) by
  S = 2(LW +H(L+W))
  = 2((18 cm)*(6 cm) +(21 cm)*(18 cm +6 cm))
  = 2(108 cm² +(21 cm)*(24 cm))
  = 1224 cm²

The surface area of the box of cereal is 1224 cm².

You are due a $750 paycheck at the end of the week (Friday), but want to get your hands on the cash on Monday. A payday lender offers to make this deal with you for a fee of 2% of the paycheck. What is the rate you are paying for this service? Assume a 365-day year.

Answers

Let R = rate, B = base and P = percentage

Use R = P/B

R = 0.02/750

Can you finish?

Assuming this is a simple discount note with a face value of $750, the interest that will be deducted is 2%*$750 = $15. Then the proceeds are $750 -15 = $735, and the effective annual rate is
.. 15/(735*(4/365)) ≈ 186.2%

The ratio of french fries to packets of ketchup in Philip's bag is 8:1. What does this mean? A. There are 7 more french fries than packets of ketchup. B. For every 8 french fries, there is 1 packet of ketchup. C. For every 8 packets of ketchup, there is 1 french fry. D. There are 8 more french fries than packets of ketchup.

Answers

It's B. because the question says the ratio of fries to ketchup is 8 to 1 (for every 8 there is one)
In the question fries go firs and then ketchup, in tge rat 8 goes first and then 1

so if ratio of pens to book is 5 to one (5:1), than it means that for every 5 pens there is one book.

Convert 15/9 to a decimal. A. 1.64 B. 1.67 C. 1.66 D, 1.69

Answers

15/9 = 1.6666... (where 6 repeats infinitely)

If we're rounding to 2 decimal places, 6 will round up to 7

Therefore, B. 1.67 is your answer

which of these equations represents functions? check all that apply

Answers

Answer:
Option B. y=7x^4 and Option D. y=2x+1

These funcionts pass the test of the verical line (it cuts the graph in only one point). Please, see the attached file.

Thanks
 

A scale drawn on the map shows that 1 inch represents 24 miles. Of two cities are 2.25 inches apart on the map, what is the distance between them in real life?

Answers

The distance is 54 miles.

Using an algebraic rule, describe a translation 2 units to the left.

Answers

Answer:
point (x,y) translated 2 units to the left will give the point (x-2,y)
(x,y) = (x-2,y)

Explanation:
We will apply the translation on a given point.
Suppose that we have a point with coordinates (x,y).
We want to translate this point 2 units to the left. This means that we will move this point 2 units to the left.
Doing this, we will find that:
the x-value of the coordinate is decreased by 2
the y-value of the coordinate did not change as no translation occurred in the vertical axis.

Therefore:
a point (x,y) can be translated two units to the left to be (x-2 , y)

Hope this helps :)
For a point in the x-y plane,
(x,y)->(x-2, y)

For a function f(x), f(x)->f(x-h)   where h is displacement to the right.
=>
f(x)->f(x+2)

how do u estimate 8.36

Answers

You can estimate to the nearest 10th.
Example:8.4
You can estimate to the nearest tenths which is 8.4

Prepare 350g of a 2% lidocaine cream using a 1% lidocaine cream a 5% lidocaine cream

Answers

a)    1% lidocaine -x g,      0.01x pure lidocaine 
        5% lidocaine -y g,      0.05y pure lidocaine
(1)0.01x+0.05y=350*0.02
0.01x  g we get from1% lidocoine and 0.05y g we get from 5% lidocoine

(2) x+y=350 
x g is mass 1% lidocoine, we combine it with y g 5%,
so we get x+y, and we need 350g,
so x+y should be equal 350, x+y=350

we get system of 2 equations that we need to solve to find x and y

(1)0.01x+0.05y=350*0.02
(2) x+y=350

we can solve it by substitution, find x from (2) equation
x=350-y, substitute it into  (1)
instead of x we put (350-y)
0.01(350-y)+0.05y=7
3.5-0.01y+0.05y=7
0.04y =3.5
y=87.5g 5% lidocaine

b)x=350-87.5=262.5 g 1% lidocaine
c) 350g =350000 mg


------------------------------------------------------------------
Define x and y:
------------------------------------------------------------------
Let x be the amount of 1% lidocaine needed.
Let y be the amount of 5% lidocaine needed.

------------------------------------------------------------------
Construct Equations:
------------------------------------------------------------------
x + y = 350

0.01x + 0.05y = 0.02 x 350
0.01x + 0.05y = 7

------------------------------------------------------------------
Solve x and y:
------------------------------------------------------------------
x + y = 350             ------------- (Equation 1)
0.01x + 0.05y = 7   ------------- (Equation 2)

------------------------------------------------------------------
From equation 1:
------------------------------------------------------------------
x + y = 350
x = 350 - y 

------------------------------------------------------------------
Substitute x = 350 - y into equation 2:
------------------------------------------------------------------
0.01(350 - y) + 0.05y = 7
3.5 - 0.01y + 0.05y = 7
3.5 + 0.04y = 7
0.04y = 7 - 3.5
0.04y = 3.5
y = 87.5

------------------------------------------------------------------
Substitute y = 87.5 into equation 1:
------------------------------------------------------------------
x + y = 350
x + 87.5 = 350
x = 350 - 87.5
x = 262.5

------------------------------------------------------------------
Find x and y:
------------------------------------------------------------------
x = 262.6g (5% lidocaine cream)
y = 87.5g   (1% lidocaine cream)

------------------------------------------------------------------
Convert 350g to milligram:
------------------------------------------------------------------
350g = 350 x 1000 mg
350g = 350 000mg

------------------------------------------------------------------
Answer:
(a) Amount of 5% lidocaine needed = 87.5g
(b) Amount of 1% lidocaine needed = 262.g
(c) 350g = 350 000mg
------------------------------------------------------------------


the initial population was 50 thousand people and the population increased by 12% each year. Determine the function rule for this definition.

Answers

Answer: [tex]P(x) = 50,000(1.12)^x[/tex]

Explanation: Let [tex]P(x)[/tex] be the population after x years. Since 50,000 is the initial population, P(0) = 50,000. Moreover, since the population increases 12% per year, 

[tex]P(x) = P(x - 1) + 12\% (P(x - 1)) \\ = P(x - 1) + 0.12(P(x - 1)) \\ \boxed{P(x) = 1.12(P(x - 1))}[/tex]

Using the preceding equation:

[tex]P(1) = 1.12(P(0)) = 50,000(1.12) \\ P(2) = 1.12(P(1)) = 1.12(50,000(1.12)) = 50,000(1.12)^2 \\ P(3) = 1.12(P(2)) = 1.12(50,000(1.12)^2) = 50,000(1.12)^3 \\. \\. \\. \\P(x) = 1.12(P(x-1)) = 1.12(50,000(1.12)^{x-1}) = 50,000(1.12)^x \\\boxed{P(x) = 50,000(1.12)^x}[/tex]

Jane goes to the fruit market every week. On Monday she buys 10 pears and 11 oranges for $10.05 By Friday she is out of fruit and goes back to the market to purchase 1 pear and one orange for $0.94 How much did Jane spend on 1 orange?

Answers

The answer may be 0.65, because 0.95(10)=9.40 and 10.05-9.40=0.65. I got the answer myself from yahoo 

A basketball player made 57 out of 100 attempted free throws. What percent of free throws was made?

Answers

57% of free throws were made
57 out of 100 = 57/100 = 57%

Hope this helps!

Lurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50 + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurnda pay if she orders 8 boxes of cards

Answers

Answer:

  $55

Step-by-step explanation:

Put 8 where n is in the equation and do the arithmetic.

  cost = $6.50·n + 3

  = $6.50·8 + 3 = $52 + 3

  cost = $55

ashley measure the shell she collect she records the measurements in the chart

Answers

be more specific there is no question

Granny has some stickers.if she gives 6 stickers to each of her grandchildren,she will have 5 stickers left.if she gives 7 stickers to each of her grandchildren,she will need 2 more stickers.how many grandchildren does granny have?

Answers

sorry, but if you're in college, why do need to ask this question. this is like a 5th grade question.

Can someone please help me? The measure of the reflex angle in rhombus ABCD is 260°. Find x. Thanks

Answers

Imagine that you kept drawing the circle around to include the entire angle. We know that the measure of that angle would be 360°, because there are 360° in a circle.

But instead, we stopped at 260°. We have x° left to get to 360°.

That's 360°-x°=260°.

x=100, so the answer is E

Which expression is equivalent to:

25a + 5b - 13

Answers

25a + 5b - 13

5(5a + b) - 13 is your answer

using the distributive property, we can distribute 5 to all terms within the parenthesis:

5(5a + b) - 13 = 25a + 5b - 13


5(5a) = 25a
5(b) = 5b

25a + 5b - 13 = 25a + 5b - 13 (True)

hope this helps

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

[tex]25a+5b-13[/tex]

In option (1), the given expression is

[tex]20a+5a+b-13[/tex]

Combine like terms.

[tex]25a+b-13[/tex]

This expression is not equivalent to the given expression.

In option (2), the given expression is

[tex]20(5a+5b)-13[/tex]

Using distributive property.

[tex]100a+100b-13[/tex]

This expression is not equivalent to the given expression.

In option (3), the given expression is

[tex]30ab-13[/tex]

This expression is not equivalent to the given expression.

In option (4), the given expression is

[tex]5(5a+b)-13[/tex]

Using distributive property.

[tex]25a+5b-13[/tex]

This expression is equivalent to the given expression.

Therefore correct option is 4.

Which of the following is parallel to the line =6x + 1

Answers

Try this option:
common equation for line is y=kx+b, where k=tgα, b-number.
Rule: if y||y₁, then k=k₁.
It means that according to given conditions y₁=k₁x+b₁ ⇒ y₁=6x+b₁.

answer: y₁=6x+b₁

3x - 12 + 6x + 9?/ Help Please

Answers

9x-3 because you combine like terms
Combine like terms first

For her cell phone plan Heather pays $30 per month plus 0.05 protects she wants to keep her bill under $60 per month with any quality represents the number of texts T Heather can't spend each month while staying within her budget

Answers

Hi there!

Let the number of texts be represented by T.
The we get the following function of total cost:
Total cost = 30 + 0.05T.

Since Heather wants her bill to be under $60, the total cost must be smaller than 60. We get the following

30 + 0.05T < 60
Subtract 30 from both sides.

0.05T < 30
Divide by 0.05

T < 600. Therefore Heather can send a maximum of 600 texts (and then she pays a bill of $60)

here goes another question lol oops

Answers

Student 1 and 3.
[tex] - (5r - 3s + 1) = - 5r + 3s - 1[/tex]
Move the negative into the brackets,
positive becomes negative while two negatives make a positive.
1. -(5r - 3s + 1)
simplify....
-5r + 3s - 1

2. -5r + 3s + 1

3. -5r + 3s - 1

student 1 and student 3 have the equivalent equations.
Your answer is A. Student 1 and Student 3.

gloria went to the mall and spent 50 minutes shopping. then she. had lunch for 30 minutes. if gloria arrived at the mall at 11:00 a.m at what time did she finished lunch?

Answers

11:00am+50 minutes= 11:50
11:50am+ 30 minutes = 12:20

Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?

15% of the school parking spaces are handicap spaces. The school has 18 handicap spaces. How many parking spaces are there?

Answers

Hello,

The answer is "118".

Reason:

18 is 15% of what number=120

120-18=112

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit


Answer:

The answer is "120"

Step-by-step explanation:

I did it myself, and this is the answer i got :) I made sure it was correct but let me know if you have problems!

Jackie has a drawer with 20 buttons, each of different color. How many different ways can she choose three buttons for her bookbag?

Answers

To find all the different possible combinations, you multiply all the possibilities for each position.

1st - she as 20 different possible buttons
2nd - she would have 19 possible buttons
3rd-she would have 18 possible buttons

20 x 19 x 18=6840 possible ways to choose these buttons.

What is the area of a triangle that has a base of 15 1/4 in and a height of 18 in?

Answers

the area of a triangle = 1/2 base * height (basically half of a rectangle)

so 1/2 * 18 * 15.25 = 9*15.25 = 137.25

don't forget units so the answer is 137.25 inches squared

The area of the triangle is half the product of its base and height. The area of the triangle is 137.25 in².

What is the area of the triangle?

The area of the triangle is half the product of its base and height. It is given by the formula,

[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]

As it is given that the base of the triangle is 15¹/₄ inches, while the height of the triangle is 18 inches. Therefore, the area of the triangle is,

[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]

                         [tex]= \dfrac{1}{2} \times 15(1/4)\times 18\\\\\\ = \dfrac{1}{2} \times \dfrac{(15\times 4)+1}{4} \times 18\\\\\\= \dfrac{1}{2} \times \dfrac{61}{4} \times 18\\\\\\=137.25\rm\ in^2[/tex]

Hence, the area of the triangle is 137.25 in².

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Construct arguments-Janie served four same size pizzas. Explain how to find how many slices of pizza served if the angle for each slice turns through a right angle Read the word problem. George has 2 times the amount of points that is 4 less than his sisters. His sister has 16 points. How many points does George have? What operations are needed to solve this word problem, and in what order should they be used? addition and subtraction, in that order addition and multiplication, in that order subtraction and division, in that order subtraction and multiplication, in that order If a _____ error appears when you run a macro that has worked in the past, some part of the macro code no longer makes sense to excel. s which is not organic matter?a. soil b. water c. sphagnum moss d. vermiculite How do impulses travel from one neuron to another? by what is the gulf stream characterized? a circle has a radius of 8 inches. What is the circumference in terms of pi? A sales clerk earns a 3% comminsion on each sell. What is the comminsion earned on a sale of $4450? Choose all that apply. History is the interaction between _____. people companies environment civilizations ideas Adelaide paid $35 for a manicure and gave the manicurist a 20% tip How much money did Adelaide give her manicurist which of the following substances has a molar mass of 208g Cross contamination is best described as? At the end of a factory assembly line, completed widgets are deposited into a box until it is filled. if after 10 minutes the box contains 25 widgets and it takes 2 hours total to fill up a box, how many widgets must each box hold? The round third prong on a grounded plug ______.a.creates a short circuitc.completes a circuit to power an applianceb.melts if the current gets too highd.connects to a ground wire A mass of 15 kg of air in a piston-cylinder device is heated from 25 to 77c by passing current through a resis tance heater inside the cylinder. the pressure inside the cylin der is held constant at 300 kpa during the process, and a heat loss of 60 kj occurs. determine the electric energy supplied, in kwh Why did the government control the news and information Americans received about the war? which of the following is included in an evaluation but not included in a summary N 1931, anthropologist audrey richards documented the chisungu ritual, performed in zambia. what is this women-only ritual that centers on menstruation and marriage an example of in anthropology? Find all the zeroes of the equation. -3x4+27x2+1200=0 I need to learn how to do it! Just not the answer please 1.Write a short paragraph that discusses how the culture of Rome and how it reflected life and values in the Roman Empire.