Can someone explain step by step how to do this?

Answer/Step-by-step explanation:

1. Side of the square (s) = 35 mm

Area of square = s²

Area = 35² = 1,225 mm²

2. Length of rectangle (L) = 24 cm

Width = 18 cm

Area = L*W = 24*18 = 432 cm²

3. Diameter = 36 m

Radius = ½(36) = 18

Circumference of circle = πd = π*36 = 113.097336 ≈ 113.1 m

Area = πr² = π*18² = 1,017.87602 = 1,017.9 m²

4. Area of trapezoid = ½(a + b)*h

a = 9 cm

b = 15 cm

h = 18 cm

Area = ½(9 + 15)18

Area = 216 cm²

Answer: 149656

Step-by-step explanation:

The  balance of the loan is $148,968

Using this formula

Loan balance=Mortgage amount-Monthly payment

Where:

Mortgage amount=$150.000

Monthly payment=$1,031.83

Let plug in the formula

Loan balance=$150.000-$1,031.83

Loan balance=$148,968

Inconclusion The  balance of the loan is $148,968

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Answer:

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −5, 4i, and −4i

This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So

[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]

[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]

[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]

[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]

Has a value of 40 when x=3

We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So

[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]

[tex]200a = 40[/tex]

[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]

So

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Answer:

Test statistics

Step-by-step explanation:

A test statistic is calculated to compare with the critical value approach. The critical value is found by choosing any value of significance level ∝ = 0.05, 0.1 or 0.01  . Mostly 5% is preffered .

The the calculated value of the test statistic is compared with the chosen value rejection region that whether it falls in the critical region or not.

The test statistic is applied on the conditions given. For example comapring many results can be done by using chi square or  comparing two means can be done by t test or testing the variation can be done by F - test.

In the given problem a z test would be used.

Answer:

they are 1,2

Step-by-step explanation:

1, 2,4,8,16, 32, 64

Answer: 1,2,4,8,16,32, 64

Answer:

$4.35

Step-by-step explanation:

Knowns:

Total bill: $29.00

Tip of 15% ($29.00)

Work:

$29.00 (0.15) = $4.35 tip

Hope this helps!

Answer:

B.$0.75

Step-by-step explanation:

I think that's the answer hope it helps you.

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

Answer:

11.7 square units

Step-by-step explanation:

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 <  μ  < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 /  / [tex]\sqrt{10}[/tex] )

   = 0.370

therefore at  94.87% confidence interval the estimated population mean is

x - 0.370 < μ <  x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 <  μ  < 25.370

Answer:

6 ft^2

Step-by-step explanation:

A=1/2 Base Height

A=1/2(3)(4)

A=6 ft^2

Answer:

The slope is 5/8.

Step-by-step explanation:

Use the slope formula:

m = y2 - y1 / x2 - x1

Plug in the numbers from the ordered pairs:

m = 8 - 3 / 13 - 7

m = 5/8

9514 1404 393

Answer:

  20√2

Step-by-step explanation:

It is helpful to know your multiplication facts. For simplifying the radicals, you remove the perfect squares:

  [tex]\sqrt{a^2\cdot b}=a\sqrt{b}[/tex]

__

  [tex]-3\sqrt{18}+5\sqrt{72}-\sqrt{2}=-3\sqrt{3^2\cdot2}+5\sqrt{6^2\cdot2}-\sqrt{2}\\\\=-3\cdot3\sqrt{2}+5\cdot6\sqrt{2}-\sqrt{2}=(-9+30-1)\sqrt{2}\\\\=\boxed{20\sqrt{2}}[/tex]

Answer:

a. 5.53

b. 1.078

c. 0.126

d. 0.109

e. 0.549

f. 0.834

g.  0.451

Step-by-step explanation:

The percentage of the flights that arrive on time, P(x) = 79%

The number of flights in the sample, n = 7 flights

a. The mean of the probability distribution, μ = ∑x·P(x)

Therefore, we have; μₓ = n·p

μₓ = 7 × 79/100 = 5.53

b. The standard deviation, σₓ = √(n·p·(1 - p))

∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078

c. We have;

p = 0.79

q = 1 - p = 1 - 0.79 = 0.21

By binomial probability distribution formula, we have;

The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³

P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625

d. The probability of less than 4 is given as follows;

P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴

∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109

The probability of less than 4 is ≈ 0.109

e. The probability that more than 5 is given as follows;

P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰

7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549

f. The probability that at least 5 of the flight were on time is given as follows;

P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰

∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834

g.  For the probability that no more than 5 of the flights were on time, e have;

P(At most 5) = 1 - P(More than 5)

∴ P(At most 5) = 1 - 0.549 ≈ 0.451.

Answer:

8x/5

Step-by-step explanation:

Answer:

1. RT  2. US  3. QUS

Step-by-step explanation:

The following is in the tangent, chord and inscribed angle is 1. RT  2. US  3. QUS.

We have given that the diagram

We have to determine

The tangent line (or simply tangent) to a plane curve at a given point is the straight line that just touches the curve at that point.

The tangent is RT.

and the chord is US.

The following is in inscribed angle is QUS.

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Answer:

C

Step-by-step explanation:

slope intercept is y=mx+b

The y-intercept is at 2 so b=2.

The slope is rise/run, equaling -3

so y= -3x+2

The median of the set of data with values 10,12,15,16,18,20 is 15.5.

The median is one of the measures of central tendency.

The median is the middle value of a data set.

When the data set is even, the median is found by adding the two middle values and dividing by 2.

10,12,15,16,18,20

Total value = 91

Median = 15.5 (15 + 16)/2

Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.

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16.5 / p = 11 / 18

p = 16.5 × 18 / 11

p = ( 16.5 / 11 ) × 18

p = 1.5 × 18

p = 27

Answer:

5,000

Step-by-step explanation:

I used a calculator:)

Answer:

1.) t - distribution

2.) H0 : μ = 60000 ; H1 : μ > 60000

3.) P < α (Reject Null) ; P > α (fail to reject Null)

4.) Reject H0

Type 1 error

Step-by-step explanation:

Null hypothesis, H0 : μ = 60000

Alternative hypothesis, H1 : μ > 60000

Decison rule at 5% significance ;

P < α (Reject Null)

P > α (fail to reject Null)

Xbar = 72000 ; std = 9000

Test statistic :

(Xbar - μ) ÷ (std / sqrt(n))

(72000 - 60000) ÷ (9000 / sqrt(25))

12000 ÷ 1800

Test statistic = 6.667

Using the Pvalue calculator from test statistic :

Test statistic = 6.667 ; df = 24 - 1 = 24

Pvalue = 0.00001

Pvalue < α ; Hence, we reject the Null

Type 2 error : This means accepting a Null hypothesis that should be rejected.

Answer:

44

Step-by-step explanation:

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Answer:

-3

Step-by-step explanation:

Answer:

Two pairs of parallel sides

All sides congruent

Four right angles

and when they got there they all got teleported back in time 66, 000, 000 years ago to the dinosaurs

Answer:

Step-by-step explanation:

c

Answer: A)  Producers B) Consumers constitute the upper trophic levels. Unlike producers, they cannot make their own food. To get energy, they eat plants or other animals, while some eat both. c) Through the photosynthesis process, producers, such as grass, absorb the sun's light energy to produce food (stored sugar and starches). Consumers cannot make their own food, so they have to consume other organisms. The food of almost any kind of animal can be traced back to plants and the sun.

Step-by-step explanation:

Answer:

an = 148 + 48

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given sequence:

This is an AP with the first term of a₁ = 100 and common difference of d = 12.

Formula for nth term is:

Answer:

-3 is the answer of this question

Answer:

(a)-3

Step-by-step explanation:

[tex]5 - 8x = 29 \\ - 8x = 29 - 5 \\ - 8x = 24 \\ x = \frac{24}{ - 8} \\ x = - 3[/tex]