When a coin is tossed it is either heads or tails. Suppose heads has a point value of 1 and tails a point value of -1. if the sum of the point value after 50 tosses is 14. How many of the tosses must have been heads?

Answer: $5 per calculator

Step-by-step explanation: divide 125 and 25

Answer:

5$

Step-by-step explanation:

Given:

25 calculators cost 125.00

So:

_______ DIvide the cost of calculators by the number of calculators, and we get 5$

Answer:

The rewritten statements is as follows:

(a) ∀ dinosaur x, x is extinct.

(b) ∀ real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.

(c) ∀ irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].

(d) ∀ logician x, x is not lazy.

(e) ∀ integer x, [tex]x^2 \ne 2,147,581,953[/tex]

(f)  ∀ real number x, [tex]x^2 \ne -1[/tex]

Step-by-step explanation:

As a general rule, words like "all", "every", "the", etc. are represented with ∀.

However, some sentences may be need to rephrased before such sentence can be rephrased

So, the following replacement will be made:

(a)

[tex]All \to[/tex] ∀

[tex]dinosaurs \to x[/tex]

(b)

[tex]Every \to[/tex] ∀

[tex]real\ number \to x[/tex]

(c)

First, we need to rephrase this sentence to:

Every irrational number is not integer

So, the replacement is:

[tex]Every \to[/tex] ∀

[tex]irrational\ number \to x[/tex]

(d)

First, we need to rephrase this sentence to:

Every logician is lazy

So, the replacement is:

[tex]Every \to[/tex] ∀

[tex]lazy \to x[/tex]

(e)

First, we need to rephrase this sentence to:

The integer 2,147,581,953...............

So, the replacement is:

[tex]The \to[/tex] ∀

[tex]Integer \to x[/tex]

(f)  

Replace:

[tex]The \to[/tex] ∀

[tex]-1 \to x^2[/tex]

Answer: 6 hours and 10 minutes

Step-by-step explanation:

Answer:

7 solutions

Step-by-step explanation:

Answer:

Mode = 7

Median = 6

Mean = 5.2

Range = 7

Step-by-step explanation:

Mode:

The most repeated number is 7 (thrice).

Median:

First, arrange them in order.

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The two middle numbers are 5 and 7. Find their average.

(5 + 7)/2 = 6

Mean:

(3+7+2+4+7+5+7+1+8+8)/10 = 5.2

Range:

Largest number - smallest number

8 - 1 = 7

Hope this helps!

Answer:

57.4

Step-by-step explanation:

82.4 - 25 is too easy, a calculator can solve this.

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

Explanation:

a = 9 = first term

r = -2 = common ratio

We multiply each term by -2 to generate the next term

The nth term for this geometric sequence is a*(r)^(n-1) which becomes 9(-2)^(n-1)

If you tried plugging in say n = 2, you should find that,

9(-2)^(n-1)

9(-2)^(2-1)

9(-2)^1

9(-2)

-18

So that confirms the second term. I'll let you try the other values of n to confirm it further.

----------------------

From here, you plug in n = 10 to find the tenth term

9(-2)^(n-1)

9(-2)^(10-1)

9(-2)^9

9(-512)

-4608

Answer:

Step-by-step explanation:

Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them.  We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!

Step-by-step explanation:

hear Is your answer check

Please mark me branliest!

**Answer**

16 if you want exact, 20 if you want a little over.

**Explanation**

So check this... it's $50 per student that attends the camp, right?

(Nod if you're with me.)

The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800

5 dozen is the same as 50 donuts.

You multiply to get the total amount of donuts he buys in the total days (16).

Each 10 donuts costs 10 dollars.

If the dude buys 800 donuts it cost him $800.

And it costs 50 dollars for someone to go to camp.

So you divide 800/50 = 16 students

Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.

You are very welcome!!

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

[tex]\sqrt{61983.1}[/tex]

= 248.96

the standard error of the estimate = 248.96

thank you!

Answer:

(b-9)^2

Step-by-step explanation:

b^2-18b+81

=b^2-(9+9)b+81

=b^2-9b-9b+81

=b(b-9)-9(b-9)

=(b-9)(b-9)

=(b-9)^2

Hope this helps u!!

Answer:

[tex]A = 19.63cm^2[/tex]

Step-by-step explanation:

Given

[tex]d =5cm[/tex]

[tex]Weight = 1.6g/cm^2[/tex]

Required

The area (A) of the disk

This is calculated as:

[tex]A = \frac{\pi * d^2}{4}[/tex]

So, we have:

[tex]A = \frac{3.14 * 5^2}{4}[/tex]

[tex]A = \frac{3.14 * 25}{4}[/tex]

[tex]A = \frac{78.5}{4}[/tex]

[tex]A = 19.625[/tex]

[tex]A = 19.63cm^2[/tex] --- approximated

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

Answer:

45 + m<DBC = 180

Step-by-step explanation:

m<ABD + m<DBC = 180

45 + m<DBC = 180

Answer:

the answer is number 4 h(x) = 1/4 x

Answer:

the  answer is 4 h(x) = 1/4 x.

Step-by-step explanation:

y – 8 = –y minus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Step-by-step explanation:

Answer:

540 km

Step-by-step explanation:

You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km

Answer:

4.6005 * 10^6 grams

Step-by-step explanation:

Average mass of sand grain = 1.5 * 10^-5 grams

Number of grains in Erin's sandbox = 3.067 * 10^11 grains

To obtain the mass of sand in Erin's grain box :

We multiply the mass per sand grain and the number of grains

(1.5 * 10^-5) * (3.067 * 10^11)

1.5 * 3.067 = 4.6005 * (10^(-5+11))

4.6005 * 10^6 grams

Answer:

∨∨∨∨see below∨∨∨∨∨∨

Step-by-step explanation:   6  26  18  13

The two outside angles are congruent.  The two inside angles are supplemental thus they are equal.  The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.

find x

4 is to x as 5 is to 7.5

   4/x = 5/7.5      solve for x

   4 × 7.5 / 5  = x

    30 / 5  =  x

       6 = x

Answer:

Question 4 is B and Question 5 is C

Step-by-step explanation:

Question 4 is B because the DIFFERENCE between the two terms is 15 therefore when you subtract the terms it must equal 15 so B could no be an answer. Also since they both equal 24 they both add up to 24

Given:

Total number of cubes = 40

Red cubes = 18

Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

[tex]P(Red)=\dfrac{18+x}{40+x}[/tex]

The probability now that she will take a red cube is 0.5. So,

[tex]\dfrac{18+x}{40+x}=0.5[/tex]

[tex]18+x=0.5(40+x)[/tex]

[tex]18+x=20+0.5x[/tex]

[tex]x-0.5x=20-18[/tex]

[tex]0.5x=2[/tex]

Divide both sides by 0.5.

[tex]x=\dfrac{2}{0.5}[/tex]

[tex]x=4[/tex]

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

[tex]40+4=44[/tex]

Probability of getting a yellow cube is:

[tex]P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}[/tex]

[tex]P(Yellow)=\dfrac{9}{44}[/tex]

Therefore, the required probability is [tex]P(Yellow)=\dfrac{9}{44}[/tex].

Answer:

-4z^3 + 5z^2 + 29z -24

Step-by-step explanation:

(4z^2 + 7z-8) (-z+3)

would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24

and simplified to -4z^3 + 5z^2 + 29z -24

Answer:

5

29

Step-by-step explanation:

Answer:

253.5 ft³

Step-by-step explanation:

Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height

Volume of a prism = base area × height

Volume of the pyramid

= [tex] \frac{1}{3} [/tex]× (6×6.5÷2) × 9

= [tex] \frac{1}{3} [/tex]× 19.5 × 9

= 58.5 ft³

Volume of the prism

= (6×6.5÷2) × 10

= 195 ft³

Volume of the solid

= 58.5 + 195

= 253.5 ft³

Answer:

A

Step-by-step explanation:

the base is 19.5 feet squared

(6 * 6.5 / 2)

multiplied by 10 gives you 195 feet cubed for the lower solid

19.5 * 9 / 3

gives you 58.5 feet cubed for the upper solid

just add both volumes together

Answer:

[tex]-48x^5 y^{10} z^3[/tex] should be the answer

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Trust me, i got it right

Answer:

C

Step-by-step explanation:

have a great rest of your day!! btw Ill view ur profile!! :)

Step-by-step explanation:

you need to find:

uw:

uv:

vw= 8(already known)

Measure of W= 35

Measure of u= 90

measure of v= 180-90+35= 55

finding uv:

sin(35)= uv/8

0.57=uv/8

4.56=uv

finding uw:

sin(55)= uw/8

0.82= uw/8

6.56= uw

V(volume of pyramid) = ⅓ x V(volume of prism)

___________________________

And, to get the volume of prism, simply multiply the volume of pyramid by 3.

if volume of pyramid=12m³, then volume of prism is 36 m³.

Solution;:

V(volime of prism) = V(volume of pyramid) x 3

___________________________

Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.

Answer

x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]

Step-by-step explanation:

x.1,2=[tex]\frac{-(-2)+ \sqrt{(-2)^2-4.1(-1)} }{2.1}[/tex]

apply rule -(-a)=a

[tex]\sqrt{(-2)^2+4.1.1}[/tex]

[tex]x1,2=\frac{-(-2)+2\sqrt{2} }{2.1}[/tex]

x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )