find the lateral area and surface area the lateral area of the prism is __in squared. the surface area of the prism is __ in squared

The ratio of both men and women 15:22

What is Ratio ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given,

The ratio of men and children = 5:2

The ratio of women and children = 11:3

To find the ratio of men and women we have to divide both the ratio:

men/children/women/children

or,

men/children x children/women

putting the values

=5/2 x 3/11

=15/22

Hence, the ratio of men:women is 15:22

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Use the next property:

According to the picture:

For the first statement

The reason is: Given.

This is because it is given in the information to solve the problem.

The second statement must be:

And the reason is also: Given.

For the third statement:

The reason is the Reflexive property.

The fourth statement must be:

The reason is Side Side Side congruence postulate.

The fifth statement must be:

The reason is congruent triangles definition.

=[2[tex]x^{2}[/tex]-y][3a-4b] This is the factorized form of 6a[tex]x^{2}[/tex]-3ay - 8 b[tex]x^{2}[/tex] + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a[tex]x^{2}[/tex]-3ay - 8 b[tex]x^{2}[/tex] + 4by

Rearrange the expression

6a[tex]x^{2}[/tex] -8bx² -3ay +4by

2[tex]x^{2}[/tex][3a-4b] - y[3a-4b]

=[2[tex]x^{2}[/tex]-y][3a-4b]

This is the factorized form of 6a[tex]x^{2}[/tex]-3ay - 8 b[tex]x^{2}[/tex] + 4by

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You have:

mean = 45

standard deviation = 12

Use the following formula:

Using the z-distribution, it is found that:

b)

c) There is not enough evidence to conclude that the proportion of business owners providing gifts decreased using a 0.01 significance level.

At the null hypotheses, it is tested if there is no evidence that the proportion decreased from 49%, that is:

[tex]H_0: p \geq 0.49[/tex]

At the alternative hypotheses, it is tested if there is evidence that the proportion decreased from 49%, that is:

[tex]H_1: p > 0.49[/tex]

The test statistic is given according to the following rule:

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

In which the parameters are described as follows:

Considering that 40% of the sample of 85 planned to provide a gift, and the proportion tested is of 49%, the values of the parameters are given as follows:

[tex]\overline{p} = 0.4, p = 0.49, n = 85[/tex]

Hence the test statistic is given by:

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

[tex]z = \frac{0.4 - 0.49}{\sqrt{\frac{0.4(0.6)}{85}}}[/tex]

z = -1.69.

Considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -1.69, using a z-distribution calculator, the p-value is of 0.0455.

Since the p-value of the test is greater than 0.01, there is not enough evidence to conclude that the proportion of business owners providing gifts decreased using a 0.01 significance level.

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Answer: 36.00%

60% can be written as 0.60 and/or 6/10, which simplifies to 3/5 for easier operations. The probability of 2 students both drink coffee with breakfast can be shown as 0.60 • 0.60 = 0.36. This means there is a 36% chance of both students drinking coffee with breakfast in the morning.

Step-by-step explanation:

A number is said to be rational if it can be written or transformed into the p/q form, where p and q are integers and q is a non-zero number; if it cannot be written in this form, it is said to be irrational.

Any number that can be written or stated in the p/q form, where p and q are integers and q is a non-zero number, is said to be rational.

A number that is irrational, on the other hand, cannot be stated in p/q form, and its decimal expansion is non-repeating and non-terminating.

Example: √2, √7, √11

Hence we get the required answer.

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Answer:

8x + 16 is your answer

Step-by-step explanation:

The value of x in the expression 42/100 of x over 35% is 0.147.

It should be noted that an expression is simply used to show the relationship between the variables or number given.

Therefore, the information will be expressed as:

42/100 × x/35%

= 42/100 × x/0.35

Cross multiply

100 × x = 0.35 × 42

100x = 14.7

Divide.

x = 14.7 / 100

x = 0.147

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The conversion from yards to miles is given by:

The conversion factor is:

Now, if we want to know how many miles are 39 yards, we multiply 39 yards by the conversion factor:

If the area of a trapezoid is A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex], then the equation represents the value of [tex]b_{1}[/tex] is [tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

The trapezoid is a quadrilateral with at least one pair of parallel sides is called trapezoid. There are four vertices and four edges in the trapezoid.

The area of the trapezoid  A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex]

Where [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the length of the parallel sides of  the trapezoid

h is the height of the trapezoid

A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex]

Move 1/2  to other side

[tex](b_{1}+ b_{2})h[/tex] = 2A

Move h to other side

[tex](b_{1}+ b_{2})[/tex]  = [tex]\frac{2A}{h}[/tex]

Move [tex]b_{2}[/tex]  to other side

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Hence, if the area of a trapezoid is A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex], then the equation represents the value of [tex]b_{1}[/tex] is [tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

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To determine the enrollment in 2009 we need to plug x=2009 in the equation given to determine the value of y:

Therefore, in the year 2009, there were 4589 students enrolled

1. 3x - 4 = 23

add 4 to both sides

3x - 4 + 4 = 23 + 4

3x = 27

Divide both sides by 3

3x/3 = 27/3

x = 9

2. 9 -4x = 17

subtract 9 from both sides

9 -9 -4x = 17 - 9

-4x = 8

Divide both sides by -4

-4x/-4 = 8/-4

x = -2

3. 6(x-7) = 36

Divide both sides by 6

x -7 = 6

add 7 to both sides

x - 7 + 7 = 6 + 7

x = 13

4. 2(x-5) -8 = 34

Expand

2x -10 -8 = 32

2x - 18 = 32

2x = 32 + 18

2x = 50

Divide both sides by 2

x =25

The following that represent the sales price and the regular prices are:

regular price: $55.43, sales price: $45.45

regular price: $29.99,  sales price: $24.59

regular price: $652.30, sales price: $534.89

Percentage is the fraction of a number out of hundred. The sign that is used to represent percentages is %.

When a discount is given on the price of an item, the price of the item would reduce by the given price or by the percent reduction.

Sales price = regular price x (1 - discount)

Sales price = regular price x (1 - 0.18)

Sales price = regular price x 0.82

Sales price when the initial price is $55.43: $55.43 x 0.82 = $45.45

Sales price when the initial price is $29.99: $29.99 x 0.82 = $24.59

Sales price when the initial price is $215.33: $215.33 x 0.82 = $176.57

Sales price when the initial price is $849.50: $849.50 x 0.82 = $696.59

Sales price when the initial price is $652.30: $652.30 x 0.82 = $534.89

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Answer:

y=3/4x-2

Step-by-step explanation:

slope=3/4x

y-intercept=-2

The number of students that collected between 90 and 100 bottles is 3.

The number of students that collected more than 100 bottles are 7.

The number of students that collected less than 90 students are 2

The total number of classes represented is 10.

Here is the completed frequency table

Number of bottles collected  Classes

90 - 100                                         3

101 - 110                                          6

111 - 120                                          1

A stem-and-leaf plot is a table that splits a number into a stem and leaf.   The stem is the first number in the digit while the leaf is the last number. For example the stem in 45 is 4 and the leaf is 5.  

An advantage of the stem-and-leaf plot is that it provides an easy way to present and interpret a dataset. A disadvantage of the stem-and-leaf plot is that it cannot be used for a large dataset.

Bottles collected that are between 90 and 100 are 94, 98, 99

Bottles that are greater than 100 are 105, 107, 107, 113, 114, 119, 120

Bottles that are less than 99 are 94, 98

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Solution

- The function given is:

- We have been given:

- We are required to find the time for the radioactive substance to decay. That means we need to find the value of t in the equation.

- Thus, we have that:

Final Answer

The answer is 236.65 years

Given the functions

You have to calculate

To solve this you have to apply the distributive property of multiplications, that is, you have to multiply each term of the first parenthesis with each term of the second parenthesis.

As follows:

Now simplify the like terms

The result in standard form is

Answer:

(-8.8)(-9)= 79.2

(0.5)(-0.5)= -0.25

(-0.2)(-5)= 1

When one-third of a number is at least four less than the number, the inequality to represent the information is C. n ≥ 6.

It should be noted that an inequality is simply used to illustrate the expressions that aren't equal.

Let the number be n.

This will be illustrated as:

1/3n ≥ n - 4

Collect like terms

1/3n - n ≥ -4

-2/3n ≥ -4

Multiply through by -3/2

n ≥ -4 × -3/2

n ≥ 6

The value is n ≥ 6.

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Hope it helped !! :)

.........

The total transmitted power is a. 340.3 W.

The transmitted and carrier power is related with modulation through the formula -

[tex] P_{t} = P_{c}(1 + \frac{ {m}^{2} }{2} )[/tex]

where [tex]P_{t}[/tex] is transmitted power, [tex]P_{t}[/tex] is carrier power and m is modulation.

Keep the values in formula to find the value of total transmitted power.

[tex]P_{t}[/tex] = 250 (1 + 85%²/2)

Taking square of percentage

[tex]P_{t}[/tex] = 250 (1 + 0.7225/2)

Performing division in the bracket

[tex]P_{t}[/tex] = 250 (1 + 0.36125)

Performing addition in the bracket

[tex]P_{t}[/tex] = 250×1.36125

Performing multiplication

[tex]P_{t}[/tex] = 340.3125

Thus, the total transmitted power when carrier power is 250 W and modulation is 85% is a. 340.3 W.

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Answer:

-0.07

Step-by-step explanation:

Find the average

The value of given expressions will be sin(F) = 3/5, cos(F) = 4/5, sin(G) = 4/5 and cos(G) = 3/5.

A triangle may be defined as a closed figure having three sides and three angle, the sum of which is equal to 180°. A right-angled triangle is the one which has one angle as 90°. We consider a right-angled triangle FGH which is right-angled at H. The sine of any angle is given by the division of Perpendicular to its Hypotenuse. The cosine of any angle is given by the division of Base to its Hypotenuse. Now, we need to find

sin(F) = Perpendicular/Hypotenuse, for angle at F perpendicular will be GH and Hypotenuse will be FG. So, sin(F) = 3/5

cos(F) = Base/Hypotenuse, for angle at F Base will be FH and Hypotenuse will be FG. So, cos(F) = 4/5

sin(G) = Perpendicular/Hypotenuse, for angle at G perpendicular will be FH and Hypotenuse will be FG. So, sin(F) = 4/5

cos(G) = Base/Hypotenuse, for angle at G Base will be GH and Hypotenuse will be FG. So, cos(F) = 3/5

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One factory that obtained 90 kg of total beef from overseas. The company needs 390 oz of meat filler to make meatballs out of this shipment of beef.

In processed meat products, starches are frequently employed as fillers to bind water that would otherwise leak out of the product, increasing its texture and sensory qualities.

As cheap fillers or inferior fiber sources, items including corncobs, feathers, soy, cottonseed hulls, peanut hulls, citrus pulp, screening, weeds, straw, and cereal by-products are frequently used.

One factory that has obtained 135 kg of beef from overseas.

They want to add a total of 1.3oz of filler for each pound of beef.

Given is:

0.45 kg = 1 pound

So, 135 kg = 300 pounds

The company that wants to add a total of 1.3 oz of filler for each pound of beef.

So, for 300 pounds they will need = 390 oz of filler.

Therefore, the company needs 390 oz of filler.

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(1) d = rt so, r = d/t

(2) a = F/m so, F = ma

(3) p = w/t so, t = w/p

(4) h = V/B so, B = V/h

(5) A = (abc)/(4r) so, r = (abc)/(4A)

(6) P/Q = R/S so, S = QR/P

(7) a = (v-i)/t so, v = at + i

(8) E/e = (R + r)/r so, e = Er/(R+r)

(9) 1/p + 1/q = 1/f so, f = (pq)/(p+q)

(10) 1/p + 1/q = 1/f so, p = qf/(q-f)

(11) 1/R = 1/r1 + 1/r2 so, R = (r1 r2)/(r1 + r2)

(12) 1/t = (1/a) + (1/b) so, b = (at)/(a - t)

(13) A/B = C/D so, C = AD/B

(14) A = h(a+b)/2 so, b = 2A/h - a

(15) V = Q/r1 - Q/r2 so, Q = Vr1 r2/(r2 - r1)

(16) u = F(P/T - E) so, P = (uT + EFT)/F

The number of red marbles in the bag is 114 .

in the question ,

it is given that ,

total number of marbles in the bag = 120 marbles

let the number of red marbles [tex]=[/tex] r

let the  number of black marbles [tex]=[/tex] b

so , According to the question

b + r = 120   ...eqn(1)

also given that for every black marble there is 19 red marbles

which is represented by , r = 19b

Substituting  r = 19b in eqn (1) , we get

b + 19b = 120

simplifying further , we get  

20b = 120

b = 6

and r = 19(6) = 114

Therefore , The number of red marbles in the bag is 114 .

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• The Same roots

• The same axis of symmetry

1) If we compare two parabolas from this family, like:

Note that the difference is in the leading coefficient "a".

2) Both parabolas will have the same roots, the same x-intercepts:

In addition to this, we can state that both will share the same axis of symmetry:

As well as:

Hence, the answer is:

0. Same roots

1. Same axis of symmetry