Explain how to find the product of 3/7 X 7/9 . Use complete sentences in your answer.

The child at the 69th percentile is 5.5279 years οld.

The age οf the children in kindergarten οn the first day οf schοοl is unifοrmly distributed between 4.81 and 5.71 years οld. We can find the tοtal prοbability οf the child being between 4.81 and 5.71 years οld by subtracting the prοbability οf the child being yοunger than 4.81 frοm the prοbability οf the child being yοunger than 5.71:

P(4.81 ≤ age ≤ 5.71) = P(age ≤ 5.71) - P(age < 4.81)

The prοbability οf the child being yοunger than 4.81 is 0 since the age cannοt be negative.

The prοbability οf the child being yοunger than 5.71 can be calculated as:

P(age ≤ 5.71) = (5.71 - 4.81) / (5.71 - 4.81) = 1

Therefοre,

P(4.81 ≤ age ≤ 5.71) = 1 - 0 = 1

This means that the prοbability οf the child being οlder than 5 years οld is:

P(age > 5) = P(5.00 < age ≤ 5.71) = 1 - P(age ≤ 5.00) = 1 - [(5.00 - 4.81) / (5.71 - 4.81)] = 0.7018

Sο the prοbability οf the child is οlder than 5 years οld is 0.7018.

Tο find the age οf a child at the 69th percentile, we need tο find the age x such that the prοbability οf the child being yοunger than x is 0.69.

Let's call the age at the 69th percentile x. Then we have:

P(age < x) = 0.69

We can sοlve fοr x as fοllοws:

( x - 4.81 ) / ( 5.71 - 4.81 ) = 0.69

x - 4.81 = 0.69 ( 5.71 - 4.81 )

x - 4.81 = 0.69

x = 4.81 + 0.69 ( 5.71 - 4.81 )

x = 5.5279

Therefοre, the child at the 69th percentile is 5.5279 years οld.

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the number of pancake does it make from 3 1/3 cups of pancake is 30 pancakes.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

2/3 of a cup of pancake mix makes 6 pancakes

2/3  pancake mix = 6 pancakes

multiply 3/2 both side :

1 pancake mix = 6x3/2 pancakes

1 pancake mix = 9 pancakes

Now to find the number of pancake does it make from 3 1/3 cups of pancake mix multiple 3 1/3 both side That is :

3 1/3  pancake mix = 9 x 10/3 pancakes

3 1/3  pancake mix = 30 pancakes

Therefore, the number of pancake does it make from 3 1/3 cups of pancake is 30 pancakes.

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The line equation in slope-intercept form is given by

where b is the y-intercept and m is the slope.

Then, we need to convert the given equation into the slope-intercept form. Then, by subtracting 10x to both sides, we have

and by dividing both sides by 2, we get

By comparing this result with the first equation, we can see that the slope is m= -5. So, the answer is: -5

Answer:

ABCDEFGHIJKLMNOP

Answer:

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

Answer (there are different answers, but this is one of them):

22 words in 1 minute

Step-by-step explanation:

I hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

d. 40

Step-by-step explanation:

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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Answer:

The length and width of the parking lot are \(\frac{46}{3}\) meters and \(\frac{23}{2}\) meters, respectively.

Step-by-step explanation:

The surface formula (\(A\)) for the rectangular parking lot is represented by:

\(A = w\cdot l\)

Where:

\(w\) - Width of the rectangle, measured in meters.

\(l\) - Length of the rectangle, measured in meters.

Since, surface formula is a second-order polynomial, in which each binomial is associated with width and length. If \(A = 6\cdot x^{2}-19\cdot x -7\), the factorized form is:

\(A = \left(x-\frac{7}{2}\,m \right)\cdot \left(x+\frac{1}{3}\,m \right)\)

Now, let consider that \(w = \left(x-\frac{7}{2}\,m \right)\) and \(l = \left(x+\frac{1}{3}\,m \right)\), if \(x = 15\,m\), the length and width of the parking lot are, respectively:

\(w =\left(15\,m-\frac{7}{2}\,m \right)\)

\(w = \frac{23}{2}\,m\)

\(l =\left(15\,m+\frac{1}{3}\,m \right)\)

\(l = \frac{46}{3}\,m\)

The length and width of the parking lot are \(\frac{46}{3}\) meters and \(\frac{23}{2}\) meters, respectively.

Answer: (c)

Step-by-step explanation:

Given

The function is \(y=-x^2+6x-4\)

Range of a function describes the values y can take

from the graph it is clear that the maximum value of y is 5

\(\therefore y\leq5\)

Hence. option (c) is correct.

Answer: 24 units.

Step-by-step explanation: Because you go down 12 and then across the x -axis which is over 12 and when you add both positive numbers you get 24 units.

The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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Answer:

6,656 square meters

Step-by-step explanation:

Surface area of triangular pyramid = bh + L(S1 + S2 + S3)

Where,

b = 48 m

h = 32 m

L = 40 m

S1 = 40 m

S2 = 40 m

S3 = 48 m

Plug in the values

Surface area = 48*32 + 40(40 + 40 + 48)

= 1,536 + 5,120

= 6,656 m²

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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let's firstly convert the mixed fractions to improper fractions and then proceed.

\(\stackrel{mixed}{3\frac{1}{9}}\implies \cfrac{3\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{28}{9}} ~\hfill \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}} \\\\[-0.35em] ~\dotfill\)

\(-\cfrac{28}{9}~~ - ~~\left( -\cfrac{25}{3} \right)\implies -\cfrac{28}{9}~~ + ~~\left( \cfrac{25}{3} \right)\implies -\cfrac{28}{9} + \cfrac{25}{3} \\\\\\ \stackrel{\textit{using the LCD of 9}}{\cfrac{1(-28)~~ + ~~3(25)}{9}}\implies \cfrac{-28+75}{9}\implies \cfrac{-47}{9}\implies {\LARGE \begin{array}{llll} -5\frac{2}{9} \end{array}}\)

Answer:

4 5/12 feet tall

Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)

Step-by-step explanation:

Leon older brother is 19/4 feet tall or 57/12.

Leon is 1/3 or 4/12 foot shorter than his brother.

57/12-4/12= 53/12

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

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

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

B

Step-by-step explanation:

Hope this helps!

Answer:

if you want to plot 1 1/2, you go to where it says one, then plot the line in the middle between one and two

Step-by-step explanation:

to plot it you just have to ummm so theres 5 lines in between one and two right? the middle line is 1/2

if you want to plot 1 1/2, you go to where it says one, then plot the line in the middle between one and two

im not really sure for 2 1/6 sorry!

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

10

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The known side is 3 times the length of the smaller figure. To make sure the figures remain similar, you must also multiply the longer side of the smaller figure(15) by 3. This will give you 45.

Answer:

The answer is one

Step-by-step explanation:

The answer is one because if the small rectangles perimerter is 50 then you want to get as close to that as you can so the length of the other one in 1 which makes the perimeter 61 and then youd round to 60

Answer:

0 miles

Step-by-step explanation:

Just subtract 11/4 from 2 3/4

2 3/4 - 11/4 = 0

So, he doesn't need to run any more

Answer:

blue one (c), not independent because P(A|B) ≠ P(A)

Step-by-step explanation:

Two events are independent of each other if you can mulitply them to get their intersection

To find the conditonal probability of two independent events you can use the following idea/formula

P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)

Now with the numbers we're given let's find P(A|B)

.24/.9= .26666666666667

Because this is not equal to .3 (or P(A)) the answer must be the blue one

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11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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Answer:

Correct choice is B