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A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.

What is the height of the prism?

2.9 m

6.525 m

11.23 m

21.83 m

The 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is option B. 0.62 plus-or-minus 1.96 start root start fraction 0.62 (1 minus 0.62) over 100 end fraction end root .

Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.

Confidence interval for the population proportion can be calculated as,

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

Here, p is the sample proportion and n is the sample size.

z value for 95% confidence interval is 1.96.

Here, n = 100,

p = [tex]\frac{62}{100}[/tex] = 0.62

Substituting the values, confidence interval of true proportion is,

0.62 ± 1.96 × [tex]\sqrt{\frac{0.62(1-0.62)}{100} }[/tex]

Hence the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is 0.62 ± 1.96 × [tex]\sqrt{\frac{0.62(1-0.62)}{100} }[/tex].

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Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are square, kite, trapezoid, rectangle, rhombus and so on.

A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

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Answer:

135

Step-by-step explanation:

every njmber is divided by 3

If 135 is divised by 3 it becomes 45

Hi student, let me help you out! :)

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We are asked to fill in the missing number in the following sequence:

[tex]\pmb{(~~~),45,15,5}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Since every number here is divided by 3, the common ratio is 3.

To find the missing number, we should multiply 45 times the common ratio, 3:

[tex]\star~\mathrm{\overline{\underline{\overline{\underline{135}}}}}[/tex]

Hope it helps you out! :D

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Answer:

c. diameter

because when a line intersects the center and even touches the centre is called a diameter

hope it helps.

Answer:

C

Step-by-step explanation:

Diameter

Answer: 2

Step-by-step explanation:

DE * CE = AE * BE (Two Secants Segment Theorem)

▪︎ DE = 1 + x + 4

▪︎ CE = x + 4

▪︎ AE = 11 + x + 1

▪︎ BE = x + 1

=> (1 + x + 4)(x + 4) = (11 + x + 1)(x + 1)

=> (x + 5)(x+4) = (x + 12)(x + 1)

=> x^2 + 9x + 20 = x^2 + 13x + 12

=> 9x + 20 = 13x + 12

20 - 12 = 13x - 9x

8 = 4x

x = 2

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.  

We know Mr. Fishie spent $15 on a tank.  His 10 fish cost 10*$f.  His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

Answer:

first ans =x-7

second ans= x+y/x-y

Step-by-step explanation:

I think you would get it and it doesn't need explanation.

Answer:

During the rapid diagnostic test of coronavirus among 250 people 96% were found negative .how many people were found negative

Answer:

68077

Step-by-step explanation:

he had spent 68077 because by 59425+8652 makes 68077

Answer with step-by-step explanation:

1) 4x - 24 = 1000

Add 24 to both sides.

4x = 1024

Divide both sides by 4.

x = 256

2) 7x = 343

Divide both sides by 7.

x = 49

3) x⁴ = 4096

Find 4th root of both sides.

x = 8

Answer:

A

Step-by-step explanation:

the domain are the value on the x coordinate

i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}

Answer:

15days.

Step-by-step explanation:

total amount=$85

renting amount=$10

amount per day=$5

to find the number of days the trimmer was rented it will be;

total amount-renting amount ÷$5

$85-$10÷$5

$75÷$5

=15days

Answer:

x = -9 and 16

Step-by-step explanation:

1. Separate in two cases:

(a) -2x + 7 = 25          and          (b) -2x + 7 = -25

(a) -2x + 7 = 25  ⇒ subtract 7 from both sides

     -2x = 18 ⇒ divide both sides by -2

      x = -9

(b) -2x + 7 = -25 ⇒ subtract 7 to both sides

    -2x = -32 ⇒ divide both sides by -2

     x = 16

Solutions: x = -9, 16

Hope this helps!

Answer:

first line: 0, 4

explanation: middle of -12 and 12 is 0, then 12/3 = 4

second line: -9, 6

explanation: split into 4 sections per each 12 so 12/4 is 3 and the location of the first unknown point is one section away from 12 so we know the distance between there is 3, leaving -12+3 = -9. Then two sections less than 12 is 12-6 = 6

third line: -12, 4

explanation: 24/6 = 4, -24 + 12 = -12 so 4 units each sections 0 + 4 = 4

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:3(3x + 5)[/tex]

now plug in the value of x as 5

[tex]\qquad \sf  \dashrightarrow \:3(3(5) + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3(15 + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3(20)[/tex]

[tex]\qquad \sf  \dashrightarrow \:60 \: [/tex]

So, the equivalent value is 60

Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:

C. 1/6

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:

p = 2/12 = 1/6.

Which means that option C is correct.

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Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

No it can't be factored , whenever there is addition between two squares , the expression can't be factored

Answer:

19 nickels, 57 dimes, and 114 quarters

Step-by-step explanation:

57/3 = 19

1 × 19 = 19

3 × 19 = 57

6 × 19 = 114

Answer:

45

Step-by-step explanation:

perimeter is the sum of all sides

for rectangle, it's (length + width) x 2

so do the reverse: 146/ 2 = l + w

73-45 = 30 this means the longer side is 45

=> length is 45

Answer:c

Step-by-step explanation:just took the test

The amount of pot holders Brent sold for 58 weeks is 3016

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

1 week = 52 pot holders

58 weeks  = ?

cross multiply

number of pot sold for 58 weeks = 58 × 52

number of pot sold for 58 weeks = 3016

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Answer:

23cm

Step-by-step explanation:

If you multiply like terms you will get the answers. Then you add last to get 23cm

The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.

How much ribbon would be needed to go around the package in centimeters is to be determined.

Perimeter is the measure of the figure on its circumference.

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Quantity of ribbon = perimeter of the rectangular package
                            = 2 * length + 2* width
                            = 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
                            = 2 (3x^2 + 2x -10) / (x^2 + x - 3)

Thus, the required length of  ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

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Using the quotient rule, it is found that the derivative of the function is given as follows:

[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}[/tex]

Suppose a quotient function defined as follows:

[tex]f(x) = \frac{g(x)}{h(x)}[/tex]

Then, the derivative is given by:

[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]

In this problem, we have that:

Then, since g'(x) = 0, the derivative is given by:

[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}[/tex]

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From simplification of the given algebra, the correct answers are as shown below.

1) (a² - b)/(a³b²)

This reduces to;

(a²/(a³b²)) - b/(a³b²)

⇒ a/(ab²) - 1/(a³b)

2) The algebraic expression is;

(b - a)/a³b³

⇒ b/a³b³ - a/a³b³

⇒ 1/a³b² - 1/a²b³

3) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ (2/(a²b³)) - (ab²)/(a²b³)

⇒ 2/(a²b³)) - 1/(ab)

4) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ 2/(a²b³) - 1/ab

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Answer:

C

Step-by-step explanation:

since ∠ m ≅ ∠ p , then

9x - 2 = 4x + 18 ( subtract 4x from both sides )

5x - 2 = 18 ( add 2 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

then

∠ p = 4x + 8 = 4(4) + 18 = 16 + 18 = 34°

Answer:

Option 1 -----> -10

Step-by-step explanation:

Substitute a and b into the equation :

-{a-b} =  

-{7-(-3)} =

-{7+3} =

-{10} =

-10 ---> Option 1

Hoep this helped and brainliest please