Find the measures of the numbered angles in each kite.

9514 1404 393

Answer:

  $3633.96

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

monthly payment for principal P at annual rate r for t years.

  A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96

The monthly payment for the mortgage is $3633.96.

Answer:

2(y-2)(y+1)

Step-by-step explanation:

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    

Answer:

0.0000000006

Step-by-step explanation:

6* 10^-10= 0.0000000006

basically think of it as moving the decimal back 10 times.

Answer:

73 is the correct answer

Step-by-step explanation:

I would pick 3 and 6

or C and F

Answer:

4 lbs : 4x + 6.50 = 22.50

Subtract 6.50 from 22.50 and divide the remaining number by 4.

Step-by-step explanation:

The correct answer is ''B. 5(2x + 5)''

Answer:

A

Step-by-step explanation:

Answer:

x= -6 ,1

Step-by-step explanation:

B is the answer

x= -6 ,1

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]

What number of minutes should the advertisement use?

The values of x for which:

[tex]P(X > x) = 0.01[/tex]

So

[tex]e^{-\mu x} = 0.01[/tex]

[tex]e^{-0.2857x} = 0.01[/tex]

[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]

[tex]-0.2857x = \ln{0.01}[/tex]

[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]

[tex]x = 16.12[/tex]

Rounding to the nearest number, the advertisement should use 16 minutes.

Answer:

Answer:

no

Step-by-step explanation:

7x+5y=15

(x,y)

(4,3)

put in 4 for x and 3 for y

7(4)+5(3)=15

43=15

This equation is impossible

Hope that helps :0

Step-by-step explanation:

7x+5y=15 (x=4,y=3)

7(4)+5(3)=15

28+15=15

43>15

they are no equal

follow me

Answer:

yes. It's a right triangle.

Step-by-step explanation:

According to the Pythagoras theorem,

a² + b² = c²

20² + 21² = 29²

400 + 441 = 841

841 = 841

LHS = RHS

Answer:

I DONT KNOW SOORY

Step-by-step explanation:

jbjnmbgkuyhjn

Answer:

P = 56.562

Step-by-step explanation:

Perimeter of a semicircle:

P = πr + 2r

Given:

r = 11

Work:

P = πr + 2r

P = 3.142(11) + 2(11)

P = 34.562 + 22

P = 56.562

The minimum height the square containers should have is 8 inches.

The first step is to determine the volume of the cylindrical oatmeal canister.

Volume = 1/3πr²h

Where:

π = 3.14

r = radius 4/2 = 2

3.14 x 2² x 10 = 125.6

Now, determine the minimum height of the square box.

Height = volume of the cannister / (area of the base)

125.6 / (4 x 4) = 7.85 = 8 inches

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

Answer:

it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5

Answer:

2.5 kilograms of chocolate

Step-by-step explanation:

Answer:

hello your question is incomplete attached below is the missing part

Question : What is the value of the test statistic

answer : = 5.73

Step-by-step explanation:

Mean value = 90 minutes

std = 15 minutes

Calculate the test statistic

mean value  of given data = ∑ x / n = 105.7

since the value of standard deviation is given we will assume a normal distribution

Hence we will apply  z test statistics

z = mean value of given data - Mean value / 15 √30

   = ( 105.7 - 90 )  / 15 √30

  = 5.73

Trust me these are the correct answers :)

Answer:

Part A: -100x2 + 15,750x − 31,100 ≥0

Part B: 2x2-315x+622 ≤0

Part C: (2x-311)(x-2) ≤0

Part D:2 ≤ x ≤ 155.5

Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.

Part F: 29

Answer:

V = 314.16

Step-by-step explanation:

Answer:

13,000 i think

Step-by-step explanation:

Answer:

A) The parameter of interest is the average filling weight of all cereal packages. ;

Point estimate = 1.22

Margin of Error = 0.0196

Confidence interval = (1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Step-by-step explanation:

A) The parameter of interest is the average filling weight of all cereal packages.

The point estimate = sample mean = 1.22

The margin of error with 95% confidence :

Zcritical * σ/sqrt(n)

Zcritical at 95% confidence = 1.96

Margin of Error = 1.96 * 0.06/sqrt(36)

Margin of Error : 1.96 * 0.01

Margin of Error = 0.0196

Confidence interval :

xbar ± margin of error

1.22 ± 0.0196

Lower boundary = 1.22 - 0.0196 = 1.2004

Upper boundary = 1.22 + 0.0196 = 1.2396

(1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Since, the internal contains 1.20, then we can conclude that it is filling properly.

Answer:

A sample size of 285 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is $4300

This means that [tex]\sigma = 4300[/tex]

What sample size do you need to have a margin of error equal to $500 with 95% confidence?

A sample size of n is needed. n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*4300[/tex]

[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]

[tex]n = 284.1[/tex]

Rounding up

A sample size of 285 is needed.

Answer:

Your answer would be 6

Step-by-step explanation:

Area=174

Base=29

174 divided by 29

Equals 6

6 times 29

Equals 174

So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.

:)

Answer: 12

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

174=12⋅29⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 29.

hh=2⋅17429=12

The height is 12 inches.

9514 1404 393

Answer:

  step 2; misapplication of the distributive property

Step-by-step explanation:

To eliminate parentheses, the distributive property of multiplication over addition tells you the outside factor is applied to each of the terms inside. The second step should be ...

  Step 2: (0.5)(4) +(0.5)(1.2x) +(0.5)(-3.1) = 2 +0.6x -1.55

Shane's mistake was that he added the factor to the first term, subtracted the factor from the coefficient of the second term, and added the factor to the third term. He was inconsistent even in his misapplication of the distributive property.

Answer:

I think it is the first one because its a perfect mirror to the other when rotated 90%.pls tell me if I am wrong :(

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Scale factor = (new figure measurement)/(original figure measurement)

Find IP using pythagorus

IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²

IP²=(4-(-4))²+(4-2)²

IP²=8²+2²

IP²=68

IP=[tex]\sqrt{68}[/tex]

Find I'P' using pythagorus

I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²

I'P'²=(2-(-2))²+(2-1)²

I'P'²=4²+1²

I'P'²=17

I'P'=[tex]\sqrt{17}[/tex]

Scale factor = (new figure measurement)/(original figure measurement)

=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]

=1/2