The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that [tex]n = 1067, \pi = \frac{74}{1067} = 0.069[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079[/tex]

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Answer:

no. who eat lunch special = 12

no. who eat dessert = 6

Step-by-step explanation:

Let x = no. who eat lunch special

y = no. who eat dessert

(1)    8x + 2y = 108             (2)    6x + 3y = 90

 Divide thru by 2                         Divide thru by 3

      4x + y = 54                          2x + y = 30

     -2x - y = -30

       2x = 24

         x = 12                               2(12) + y = 30

                                                    24 + y = 30

                                                            y = 6

Answer:

4

Step-by-step explanation:

we have hypotenuse and opposite so we can use sin

sin(45) =O/4√2

rearrange

sin(45)x4√2 =O

=4

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, that is, 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings is given by:

[tex]\frac{5}{5 + 2 + x} = \frac{5}{7 + x}[/tex]

Since he earned 1/2 of the total:

We have that 5/(7+x) = 1/2. So we use this to find x.

[tex]\frac{5}{7 + x} = \frac{1}{2}[/tex]

Applying cross multiplication:

[tex]7 + x = 10[/tex]

[tex]x = 10 - 7[/tex]

[tex]x = 3[/tex]

The value of x is 3.

Answer:

y = 15°

∠A = 78°

∠B = 68°

∠BAC = 34°

Step-by-step explanation:

∠BAC = 180° - 146° = 34°

the sum of the interior angles of any triangle is 180°

5y + 3 + 4y + 8 + 34° = 180°

combine like terms:

9y + 45° = 180°

subtract 45° from each side of the equation:

9y = 135°

divide both sides by 9:

y = 15°

∠A = 5(15) + 3 = 78°

∠B = 4(15) + 8 = 68°

Answer:

(8,90°)

Step-by-step explanation:

To get this answer, you multiply the r values together to get 2*4 = 8. At the same time, you add the theta angles to get 45° + 45° = 90°

The general rule is that if A = (r,theta) and B = (s,phi) then

A*B = (r*s,theta+phi)

where the point (s,phi) is a polar form point.

Answer:

A down payment of $5,388.50  to get the principle to $19611.50  for a monthly payment of $400 for 60 months at 8.25%

Step-by-step explanation:

I used a payment calculator

I don't know how else to solve the problem.  I thought I could find the equation, but I don't think this is it, since P didn't equal 19611.50

A = P[r(1+r)n] / [(1+r)n - 1]    

if you have the correct formula follow this process

A = 400        P principle ???    r = i%/12 = 0.0825/12 =  0.006875    n= 5×12 = 60

     solve for P      then    down payment = 25000 - P

 P = A / [r(1+r)n] / [(1+r)n - 1]    

    = A [(1+r)n - 1]  /  [r(1+r)n]

    =  400 [(1 +.006875)60 -1]  /  [0.006875( 1 +0.006875)60]

Answer:

The total hotdogs are 8 and total bag of chips are 4 and altogether is 12

Step-by-step explanation:

1 brother gets 2 hot dogs and 1 bag of chips

. To find the total hot dogs multiply 2 by 4 and you will get 8

. To find the total chips multiply 4 from 1 and the answer is obviously 4

To find the total together add 4 and 8 you will get 12

HOPE THIS HELPS :)

Answer:

pucha no se

Step-by-step explanation:

Answer:0.08

Step-by-step explanation:4756454434232

Answer:

The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N.

This means that [tex]\mu_1 = 6.1, s_1 = \frac{0.7}{\sqrt{125}} = 0.0626[/tex]

In a sample of 75 pieces of yarn from the new batch, the mean breaking strength was 5.8 N and the standard deviation was 1.0 N.

This means that [tex]\mu_2 = 5.8, s_2 = \frac{1}{\sqrt{75}} = 0.1155[/tex]

Distribution of the difference:

[tex]\mu = \mu_1 - \mu_2 = 6.1 - 5.8 = 0.3[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0626^2+0.1155^2} = 0.1314[/tex]

Confidence interval:

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 - 0.9}{2} = 0.05[/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 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.645*0.1314 = 0.22[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.3 - 0.22 = 0.08N

The upper end of the interval is the sample mean added to M. So it is 0.3 + 0.22 = 0.52N

The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).

the answer is 6

8+10=18

12+?=18

12+6=18

Answer:

D) There are two pairs of opposite parallel sides.

Step-by-step explanation:

A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.

Answer:

C

Step-by-step explanation:

because 6×6 is 36 so yeahh

Answer:

380 I belive! :))

Step-by-step explanation:

Correct me if I'm wrong! ((:

C.) 6x^2-5x+10/x(x-2)

Answer:

7.75

Step-by-step explanation:

Remember, 1 ounce equals 0.0625 pounds.

Multiply 124 x 0.0625 to get you answer.

Hope this helps,If you have any questions revolving around this topic,feel free to ask me,Good luck!

Answer:

For Question 19 the answer is A (the first answer)

For question 34 the answer is C (the third one) but for that I am not 100% you can search that one up

For question 20 the answer is A (the first answer)

the answer is 11.3

because the circumstance formula of circle is ,

[tex]\pi \: d[/tex]

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

9x6= 54

Answer:

B . 27 square units

Step-by-step explanation:

Area of triangle is 1/2 ×b×h

base is MN = 6 units

hight is 9 unis

so 1/2 ×6×9 = 3×9 =27 square Units

Answer:

4

Step-by-step explanation:

and sure

Answer:

4

Step-by-step explanation:

Answer:

A right circular cone

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

5(0)

0

if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Assuming the problem is:

"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"

lim x->4 (fg)(x)

Since we know the limits of f and g at x=4 exist we can write the limit as:

lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)

=5(0)

=0

Hence the lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Answer:

The coordinates of the center of the hyperbola are (1,-3)

Step-by-step explanation:

Equation of a hyperbola:

The equation of a hyperbola with center [tex](x_0,y_0)[/tex] is given by:

[tex]\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1[/tex]

In this question, we have that:

[tex]-x_0 = -1 \rightarrow x_0 = 1[/tex]

[tex]-y_0 = 3 \rightarrow y_0 = -3[/tex]

The coordinates of the center of the hyperbola are (1,-3)

Answer:

No I'm doing this for a quest

Step-by-step explanation:

Hope you find the answer though

Answer:

0.125 = 12.5% probability that they are a great match now.

Step-by-step explanation:

To solve this question, we need the probability of a person being a great match, which i will use 0.1.

This question is solved using conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Is kind to animals.

Event B: Is a great match.

Probability of being kind to animals:

0.9 of 0.1(Is a great match).

0.7 of 1 - 0.1 = 0.9(is not a great match). So

[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]

Probability of being kind to animals and a great match:

0.9 of 0.1. So

[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]

What is the probability that they are a great match now?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

0.125 = 12.5% probability that they are a great match now.

Answer:

[tex](x-3)^{2} = 10[/tex]

Step-by-step explanation:

[tex]\\Question 1\\\\-2xc = -6x\\2xc = 6x\\c = \frac{6}{2} \\c = 3\\x^{2} - 6x + cx^{2} = 1 + c^{2} \\x^{2} - 6x + 3^{2} = 1 + 3^{2}\\x^{2} - 6x + 9 = 1 + 9\\x^{2} - 6x + 9 = 10\\(x - 3)^{2} = 10\\REWRITINGx^{2} - 6x = 1 is equal (x -3)^{2} = 10\\[/tex]

I hope this help!

I don't know the second one ^-^

Answer:

1. 3/5 2. 5/8 3. 7/11 4. 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are four fractions. Write them small to large 2/3 3/5 5/8 7/11

11+11 = 22