Kaitlyn bakes two rectangular cakes to put on top of each other. Each cake is 6 inches wide, 12 inches long and 3 inches high. She removes the cake from the pan to frost it. How many square inches of frosting does she need for both cakes?

The larger bulldozer would take about 30 minutes.

If I am wrong please let me know by commenting on this answer!

#SPJ1

The probability will be 0.9940.

The provided parameters are

p = 0.05  (the true proportion or the mean )

n = 269   ( sample size )

we can calculate standard deviation as follows

σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

σ = 0.0132

Now the values that 'x' can take are

x = [tex]x_{1}[/tex] ±  [tex]x_{2}[/tex]

x = 0.05 + 0.03, 0.05 - 0.03

x = 0.08 , 0.02

Also the z-score is

z = (x - μ)/σ

z = [tex]\frac{0.08-0.05}{0.0132}[/tex]  , [tex]\frac{0.02-0.05}{0.0132}[/tex]

z = 2.27 , -2.27

we now find the p-values for the z-scores

p values are = 0.9970 , 0.0030

The difference in these values will give the probability

∴ P = 0.9970 - 0.0030

P =  0.9940

learn more on central limit theorem here :

https://brainly.com/question/18403552

#SPJ4

The answer to be entered in the boxes for the area model is 17, 0 and 17

An area model is a rectangular diagram or model used for solving multiplication and division problems, in which the quotient and divisor define the length and width of the rectangle

Given:

    ....60.....1.............

36|2160 | 36 | 17

2160 ÷ 36 = 60 R 0

36 ÷ 36 = 1 R 0

17  ÷ 36 =  0 R 17

Note:  (0 x 36) + 17 = 17

Therefore, the answer to be entered in the boxes is 17, 0 and 17 respectively

Learn more about  area model on:

https://brainly.com/question/41837

#SPJ

Answer:

[tex](x + 4)(2x + 5) - (x + 3)(x + 2) = 79 \\ 2x {}^{2} + 5x + 8x + 20 - {x}^{2} - 2x - 3x - 6 = 79 \\ {x}^{2} + 8x + 14 = 79 \\ {x}^{2} + 8x - 65 = 0 \\ {x}^{2} + 13x - 5x - 65 = 0 \\ x(x + 13) - 5( x + 13) = 0 \\ (x - 5)(x + 13) = 0[/tex]

x-5=0

x=5

the length of smaller rectangle= 8 m

and breadth of s. rectangle= 7 m

l x b = 8 x 7

[tex]56 {m}^{2} [/tex]

hopefully this will u

Answer:

x=10

Step-by-step explanation:

3(4x-12)=84

12x-36=84

   +36. +36

12x=120

/12.  /12

x=10

Hopes this helps please mark brainliest

The expression that represents the distance between -3/4 and -0.2 on a number line is |-3/4 + 0.2|

The distance between points on a number line is the number of units or points between these points

From the question, we have the following parameters that can be used in our computation:

Distance between -3/4 and -0.2 on a number line

This means that

Endpoints = -3/4 and -0.2

These endpoints can be represented as

Endpoint 1 = -3/4

Endpoint 2 = -0.2

The distance between these endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2|

Substitute the known values in the above equation, so, we have the following representation

Distance = |-3/4 - -0.2|

Evaluate the difference

Distance = |-3/4 + 0.2|

Hence, the distance expression is |-3/4 + 0.2|

Read more about distance at

https://brainly.com/question/7243416

#SPJ1

The product of the improper fraction 3 1/4 and 1/2 is 1 5/8.

What is mixed fraction?

 A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. a fraction when the denominator (bottom number) and the numerator (top number) are both more than or equal (the bottom number). When the numerator is equal to or more than the denominator, the fraction is said to be improper fraction. It always has a value of one or higher.

Here the given fraction 3 1/4 convert into 13/4.

Now the product of the fractions is

=> 13/4 × 1/2

=> 13/8

=> 1 5/8.

Therefore product of the given fraction is 1 5/8.

To learn more about improper fraction refer the below link

https://brainly.com/question/28569677

#SPJ1

Answer:

Step-by-step explanation:

16/(2+6)

16/8=2

Answer:

sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1

Answer:

2x+4=52

2x+19=67

2x+13=61

(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)

x=24

Step-by-step explanation:

the sum of all three angles is equal to 180 degrees

So we can add all of these angles and set it equal to 180 like this

(2x+19)+(2x+4)+(2x+13)=180

Simplify by adding common terms

6x+36=180

   -36.  -36

6x=144

/6.  /6

x=24

So now to find the angles we just fill in x with 24

2(24)+4

48+4

52

2(24)+19

48+19

67

2(24)+13

48+13

61

Hopes this helps please mark brainliest

Answer: -19 49/50 ==> a

Step-by-step explanation:

(−5 2/5) ⋅ 3 7/10=

(−5 - 2/5) ⋅ (3 + 7/10)=

(−25/5 - 2/5) ⋅ (30/10 + 7/10)= ==> make the terms have like denominators

((-25-2)/5) ⋅ ((30+7)/10)=

-27/5 ⋅ 37/10 =

-27 ⋅ 37 / (5 ⋅ 10) =

-999/50=

(-950-49)/50=

-950/50 - 49/50=

-19 - 49/50=-19 49/50 ==> a

Answer:

Step-by-step explanation:

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

What is Slope intercept form?

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

The range of the function g, given the premises for f(x) = |x| and a < 0 while b ≠ 0 is; the set of all real numbers.

It follows from the task content that the range of the function g(x) = a|x| + b is to be determined given the parameters as in the task content.

Since the function f(x) = |x| has a range of y ≥ 0, and a is a negative number ( < 0), it therefore means that the a|x| is always a number less than 0 (<0).

However, the possible values of constant, b include all real numbers except 0.

On this note, the function g(x) = a|x| + b has a range which is the set of all real numbers. This is so because, g(x) > 0 when a|x| < b and g(x) < 0 when a|x| > b.

Read more on range of a function;

https://brainly.com/question/7954282

#SPJ1

Answer:

  875 cm³

Step-by-step explanation:

You want the volume of the 15 cm high frustum of a 30 cm high pyramid with a 10 cm square base.

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

Where B is the area of the base:

  B = s²

For the given pyramid, the volume is ...

  V = 1/3(10 cm)²(30 cm) = 1000 cm³

The volume of the frustum is the volume of the whole pyramid, less the volume of the part that is cut off. The part that is cut off has dimensions that are 1/2 of those of the whole pyramid, so its volume is ...

  V = (1/2)³ × (1000 cm³) = 125 cm³

Then the volume of the remaining frustum is ...

  1000 cm³ -125 cm³ = 875 cm³

The volume of the frustum is 875 cm³.

__

Additional comment

The volume can also be calculated from the areas of the two bases of the frustum and its height.

  V = (1/3)(B₁ +B₂ +√(B₁B₂))h

The top base is 5 cm square, so this evaluates to ...

  V = (1/3)(100 cm² +25 cm² +√(100·25) cm²)(15 cm) = 1/3(175 cm²)(15 cm)

  V = 875 cm³

Answer:

yes it is

atleat i think

Answer:

No

Step-by-step explanation:

The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.

34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.

34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).

y-intercept: (0,60)

This is given in the table.

Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Using (1,50) and (2,40):

   [tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]

The slope is -10.

Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:

   y = -10x + 60

The absolute value equation graphed is defined by the rule given as follows:

y = |x - 3| + 6.

The function graphed is an absolute value equation, due to it's v format.

The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:

y = |x - h| + k.

On the graph, this vertex is the turning point of the absolute value function.

For the graphed function, the coordinates of the vertex are given as follows:

Then the coordinates of the vertex are:

(3,6).

The equation of the graphed absolute value function is:

y = |x - 3| + 6.

More can be learned about the absolute value equation at https://brainly.com/question/17795998

#SPJ1

Answer:

[tex]x^2+3x-10[/tex]

Step-by-step explanation:

To expand you must do this:

[tex]x*x+(-2x)+(5x)-10\\x^2-2x+5x-10\\x^2+3x-10[/tex]

Answer:

Length would be 6ft

Width would be 4ft

Step-by-step explanation:

24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.

Answer:

the options are wrong

Step-by-step explanation:

Answer:

C. 8

Step-by-step explanation:

2 x 8 = 16

16 - 16 = 0

2 x 0 = 0

In accordance with algebra properties and relationship between logarithms and powers, the logarithm ㏒ₐ (108 / a³) is equal to the pseudolinear expression 2 · b + 3 · c - 3.

In this problem we must determine the base of a given set of logarithms by using algebra properties and relationships between powers and logarithms. Now we proceed to solve:

Step 1 - We get the following equations:

㏒ₐ 2 = b, ㏒ₐ 3 = c  

Step 2 - Now we add the other logarithm:

㏒ₐ (108 / a³)

Step 3 - By logarithm properties:

㏒ₐ 108 - ㏒ₐ a³

㏒ₐ (2² · 3³) - 3 · ㏒ₐ a

㏒ₐ 2² + ㏒ₐ 3³ - 3 · 1

2 · ㏒ₐ 2 + 3 · ㏒ₐ 3 - 3

Step 4 - By Step 1:

2 · b + 3 · c - 3

The logarithm ㏒ₐ (108 / a³) is equivalent to 2 · b + 3 · c - 3.

To learn more on logarithms: https://brainly.com/question/20785664

#SPJ1

If Two planes are parallel and each plane contains a line, the two lines are  not skew because In the event that any two lines fall on a single plane, they will either intersect or be parallel to one another. Both instances violate the concept of a skew line because the skew lines are neither parallel nor intersect.

Infinitely many lines cross through, yet only one of them is parallel to. Lines that never intersect and are in distinct planes are known as skew lines. Parallel lines and skew lines are distinguished by the fact that they both reside in the same plane, whereas skew lines do not.

The two lines would overlap at some point if the two planes on which they are located weren't parallel, which again defies the definition of skew lines.

Therefore, The skew lines are thus present if and only if both lines fall on a pair of parallel planes.

Learn more about  parallel  lines from

https://brainly.com/question/24607467
#SPJ1

Answer:16/25 :D

Step-by-step explanation:does that help :3

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

Explanation:

Part A)  Find P(-2)

We'll divide P(x) over (x+2) to get a quotient Q(x) and remainder 8 like so

P(x)/(x+2) = quotient + remainder/(x+2)

P(x)/(x+2) = Q(x) + 8/(x+2)

When multiplying both sides by (x+2), it clears out the fractions and we're left with this

P(x) = (x+2)*Q(x) + 8

From here, plug in x = -2 and simplify

P(x) = (x+2)*Q(x) + 8

P(-2) = (-2+2)*Q(-2) + 8

P(-2) = (0)*Q(-2) + 8

P(-2) = 0 + 8

P(-2) = 8

Luckily we don't need the value of Q(-2) since it cancels out with the zero.

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

Part B) Find P(2)

This time we'll plug in x = 2 and we'll get...

P(x) = (x+2)*Q(x) + 8

P(2) = (2+2)*Q(2) + 8

P(2) = 4*Q(2) + 8

P(2) = 4*5 + 8

P(2) = 20+8

P(2) = 28

For the specified requirements, 105 sample size are required.

Given that,

Confidence Interval = 90

Margin of error (m) =0.08

We know , to find Sample size for  estimating a population proportion

n = (Z*/m)² P(1-P)

where , m is margin of error

             P is estimated proportional value.

If we have no preconceived of the value of the population proportion

, then we use P= 0.50 because it is most conservative and it will give use the largest sample size calculation.

for a 90% confidence interval ,

Z* = 1.645 , m=0.08

Using equation we get

n = (1.645/0.08)²(0.5)( 1 - 0.5 )

By solving,

n =105.3 = 105

The necessary sample size is 105

Learn more about margin of error :

brainly.com/question/10501147

#SPJ4