Tim and Joey share a 20-ounce box of cereal. By the end of the week, Tim has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?

Answer:

The 95% of confidence interval are

(15.8663 ,16.2337)

Step-by-step explanation:

Step(i):-

Size of the Population = 16

Size of the sample (n) = 4

The mean of the sample = 16.05 oz

The standard deviation of the sample (S) = 0.1 oz

Degrees of freedom =n-1 =4-1 =3

t₀.₀₅,₃  = 3.1824

Step(ii):-

The 95% of confidence interval is determined by

[tex](x^{-} - Z_{0.05} \frac{S}{\sqrt{n} } , x^{-} -+Z_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](16.05 - 3.1824\frac{0.1}{\sqrt{3} } , 16.05 -+3.1824 \frac{0.1}{\sqrt{3} })[/tex]

(16.05 -  0.1837 ,16.05  +0.1837 )

(15.8663 ,16.2337)

Final answer:-

The 95% of confidence interval are

(15.8663 ,16.2337)

Answer:

Step-by-step explanation:

x = 180 - ((180-96)+(180-130))

x = 180 - (84+50)

x = 46°

Answer:

x = 46 degrees

Step-by-step explanation:

180 - 130 = 50

180 - 96 =  84

50 + 84 = 134

180 - 134 = 46

Answer:

8.99

Step-by-step explanation:

Step One: Subtract 57.97 and 32.99

Step two: Divide your answer (17.98) by two

Step Three: Submit your answer (8.99)

Answer:

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

f(-1) = -1^2 - 4

f(-1) = -1 - 4

f(-1) = -5

Answer:

[tex]y = x +2[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-3,-1)[/tex]

[tex](x_2,y_2) = (1,3)[/tex]

So, we have:

[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]

[tex]m = \frac{3 +1}{1 +3}[/tex]

[tex]m = \frac{4}{4}[/tex]

[tex]m =1[/tex]

The equation in slope intercept form is calculated using

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1(x - (-3)) -1[/tex]

[tex]y = 1(x +3) -1[/tex]

[tex]y = x +3 -1[/tex]

[tex]y = x +2[/tex]

Answer:

Step-by-step explanation:

A question on a math quiz asks, "What is 175% of 72?" Petra calculates 12.6 as the answer. Is this a reasonable answer? Explain

Answer:

A. wind blowing from the south

D. Low air pressure

C. High humidity

Step-by-step explanation:

High humidity can cause the clouds to shower. When the humidity is reached to 100 percent the rain starts. For the raining system the air pressure should be low. The low air pressure often indicates the thunderstorm. Cloud are ready filled with water and when the air pressure is lowered the rain starts.

Exact Form:

5/7

Decimal Form:

0.7142

Answer:

64

Step-by-step explanation:

cut triangle on right then on left you have 4x4 and then for right you have 2x2 then multiply them together and get 64

Answer:

C

Step-by-step explanation:

Don't know how to explain..

Answer:

2

Step-by-step explanation:

Since if it's 5 or higher you go up but if it's 4 or lower you stay the same. And since 2.36 doesn't have the .5 it would round to 2

Answer:

2

Step-by-step explanation:

The rounding rule is 5 or higher round up and below 5 round down. So we're rounding to the nearest whole numbers so we have to look at the tenths place. Since the tenths place number is below 5 we round down to 2.

Answer:

378.33 minutes

Step-by-step explanation:

From the question, we're told that

Length of the side of the square, l = 4 m

Then the current volume of water = (4 m)³ = 64 m³3 = 64,000 Liters

64,000 + [∫(20 - t) dt from 0 to t] = 0, solving the integral, we have

20t - (t^2)/2 = -64,000, multiplying all by 2 so as to eliminate the fraction

40t - t^2 + 128,000 = 0

t^2 - 40t - 128,000 = 0, on solving the quadratic equation(using general formula), we find that

t = 378.33 minutes

Answer:

24 cups of popcorn

Step-by-step explanation:

Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:

x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels

multiplying through by 0.75 cups of kernels gives:

(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels

x = 24 cups of popcorn

Answer:

bru tell me why i cant see that

Step-by-step explanation:

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

Answer:

3[tex]\sqrt{5}[/tex]

Answer:

Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Answer:

1,2,3,4,6,8,12,16,24,48

Step-by-step explanation:

Step-by-step explanation:

|2x + 4| <= 5

We have -5 <= 2x + 4 <= 5.

Therefore -9 <= 2x <= 1 and -4.5 <= x <= 0.5.

Answer:

Step-by-step explanation:

For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).

For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).

Choose 6 of them. Repetition is allowed, and order matters.

There are 10⁶ possible choices.

There are 8×10⁶ possible phone numbers.

Answer:

a) True

b) True

c) True

d) True

e) False

f) False

Step-by-step explanation:

a) The world is flat or Zero is an even Integer

B )  If 432,802 is a multiple of 4, then 432,802 is even

       F          T        T

C)  5 is a prime number and 6 is not divisible by 4

where p = 5 is a prime number  and q =  6 is not divisible by 4

D)  3 ∈ Z and 3 ∈ Q

where p =  3 ∈ Z   and q = 3 ∈ Q

E)  2 / 3 ∈ Z and 2 / 3 ∈ Q

where  p =  2 / 3 ∈ Z ( false )   and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false

F) The sum of two even integers is even and the sum of two odd integers is odd.

where  p = The sum of two even integers is even and q = the sum of two odd integers is odd.

Answer:

y = 10

m<C = 40

m<D = 76

Step-by-step explanation:

(7y + 6) + 4y = 116

11y + 6 = 116

y = 10

plug in y into the equations to get the angle

m<C = 40

m<D = 76

Answer:

A.  1/(x + 8) + 5.

Step-by-step explanation:

Staring with 1/x a shift up of 5 units makes it 1/x + 5.

A shift of 8 to the left makes it 1/(x + 8) + 5

Answer:

a) A  (-2,-2)  →A¹ (  2, 2)

   B (-5,-2)  →B¹ (5 , 2)

   C (-3,-4) →C¹ ( 3 ,4))

b)

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-5 , 2)

C (-3,-4) →C¹ ( -3 ,4))

c)

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-2 , 5)

C (-3,-4) →C¹ ( -4 ,3))

Step-by-step explanation:

a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed

to A (-2,-2)  → A¹(  2, 2)

   B (-5,-2)  →B¹ (5 , 2)

   C (-3,-4) →C¹ ( 3 ,4))

b)

Reflection about the x-axis

( x, y) → (  x, -y)

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-5 , 2)

C (-3,-4) →C¹ ( -3 ,4))

c)

( x, y) → (  y, -x)

Given (x, y) is rotation 90° of  clock wise about the origin then the transformed to

A (-2,-2)  → A¹(  -2, 2)

B (-5,-2)  →B¹ (-2 , 5)

C (-3,-4) →C¹ ( -4 ,3))

Answer:

3 days

Step-by-step explanation:

Given that :

Today :

Study time for math = 15 minutes

Study time for science = 75 minutes

Subsequent days :

Study time for math = 50 minutes

Study time for science = 30 minutes

Let the number of days when study time for math and science will be the same = x

15 + 50x = 75 + 30x

50x - 30x = 75 - 15

20x = 60

x = 60 / 20

x = 3

3 days

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

The question is incomplete. Here is the complete question.

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 or 5 of them germinate. Do not round your intermiediate computations, and round your answer to three decimal places.

Answer: P(4<X<5) = 0.624

Step-by-step explanation: The probability of a seed germinate is a Binomial Distribution, i.e., a discrete probability distribution of the number of successes in a sequence of n independents experiments.

This distribution can be approximated to normal distribution by determining the values of mean and standard deviation population:

[tex]\mu=np[/tex]

[tex]\sigma=\sqrt{np(1-p)}[/tex]

where

n is the sample quantity

p is proportion of successes

For the spinach seeds:

Mean is

[tex]\mu=9(0.65)[/tex]

[tex]\mu=[/tex] 5.85

Standard deviation is

[tex]\sigma=\sqrt{9.0.65(1-0.65)}[/tex]

[tex]\sigma=[/tex] 1.431

Now, use

[tex]z=\frac{x-\mu}{\sigma}[/tex]

to convert into a standard normal distribution.

The probability we want is between 2 values: P(4<X<5).

Therefore, we have to convert those two values:

For X = 4:

[tex]z=\frac{4-5.85}{1.431}[/tex]

z = -1.29

For X = 5:

[tex]z=\frac{5-5.85}{1.431}[/tex]

z = -0.59

Using z-table:

P(X>4) = 1 - P(z< -1.29) = 0.9015

P(X<5) = P(z< -0.59) = 0.2776

The probability will be

P(4<X<5) = P(X>4) - P(X<5)

P(4<X<5) = 0.9015 - 0.2776

P(4<X<5) = 0.624

The probability of 4 or 5 seeds germinate is 0.624.

Answer:

I think it's 18 students

Step-by-step explanation:

I used division. Hope this helps