which best describes a graph of a two-year-old child's height over the course of a year?

Answer:

A sample of 6758 would be needed.

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].

The margin of error is:

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

The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.

This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?

This is n for which M = 0.01. So

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

[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]

[tex]n = 6757.5[/tex]

Rounding up:

A sample of 6758 would be needed.

Here's the solution,

By using Trigonometry :

=》

[tex] \sin(30) = \dfrac{7}{x} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{7}{x} [/tex]

=》

[tex]x = 14[/tex]

hence, the value of x = 14 units

Answer:

14

Step-by-step explanation:

Answer:

444.5 in³

Step-by-step explanation:

This is a quite interesting question.

Here are some formulas to help you,

Volume= L*b*h

Height = Volume/ L*b

Length= Volume/h*b

Breadth= Volume/l*h

For this question, we will consider the first formula.

Volume= Length* Breadth* Height

Volume= 5 in * 7 in * 12.7

Volume= 444.5 in³

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: V = 262.610935 m³

Answer:

1. C

2. D

Step-by-step explanation:

1.

Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).

Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).

2.

If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?

Set up an equation:

Variable x = area of ft^2 for 1 gallon of paint

0.25/24 = 1/x

Cross multiply

0.25 × x = 24 × 1

0.25x = 24

To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4

1/4x = 24

Multiply both sides by 4

1x = 96

x = 96 ft^2

Check your work:

0.25/24 = 1/96

0.25 × 96 = 24 × 1

24 = 24

Correct

Given:

Cost price of refrigerator = $11515

Discount rate 16% on its marked price.

Profit = 20%

To find:

The marked price of the refrigerator.​

Solution:

The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:

[tex]S.P.=C.P.+20\%\text{ of }C.P.[/tex]

[tex]S.P.=11515+\dfrac{20}{100}(11515)[/tex]

[tex]S.P.=11515+2303[/tex]

[tex]S.P.=13818[/tex]

Let x be the marked price of the refrigerator.​ Then,

[tex]S.P.=x-16\%\text{ of }x[/tex]

[tex]13818=x-\dfrac{16}{100}x[/tex]

[tex]13818=x-0.16x[/tex]

[tex]13818=0.84x[/tex]

Divide both sides by 0.84.

[tex]\dfrac{13818}{0.84}=x[/tex]

[tex]16450=x[/tex]

Therefore, the marked price of the refrigerator is $16450.

Answe well this look complicated gimme some time

Step-by-step ex

you take 2pi and divide it by bits stolen from the equation its explained more in the screennshot

Answer:

Step-by-step explanation:

Answer:

the answer is get noob..........

Answer:

4608

Step-by-step explanation:

24 x 12 x 16 = 4608

Answer:

its 5

Step-by-step explanation:

Answer:

The answer is 54

Step-by-step explanation:

36+90=126

180-126= 54

Answer:

54 degrees

Step-by-step explanation:

Answer:

12.95a + 4.95 ≤ 75

Step-by-step explanation:

Given:

Cost of each DVD = $12.95

Total shipping fee = $4.95

Total amount as gift card = $75

Find;

Inequality

Computation:

Assume;

Number of DVD he purchase = a

So,

Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee

75 ≥ (12.95)(a) + 4.95

12.95a + 4.95 ≤ 75

Answer:

it means that for every two cats there are nine dogs, so if they were four cats there'll be 18 dogs and so on

Answer:

Two cats per nine dogs

Step-by-step explanation:

The ratio is two cats to nine dogs, meaning that for every two cats, there are nine dogs, and vice versa. This applies to any ratio. Hope this helps! Feel free to ask any questions!

Answer: y = mx + b

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

try 1.8 or .18

Step-by-step explanation:

Answer: 238

Step-by-step explanation: 15% of 280 is 42 so subtract 42 from the number and it equals 238

Answer:

pyramid,  solid, polyhedron

Step-by-step explanation:

The given figure is a pyramid.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.

The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.

Learn more about pyramid here

https://brainly.com/question/13057463

#SPJ2

Answer:

1:5

Step-by-step explanation:

5/5 and 25/5

so 1:5

Answer:

-1 7/10 and -1.7

Step-by-step explanation:

Answer:

0.1183 = 11.83% probability that both of them have the secret decoder ring.

Step-by-step explanation:

The boxes are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

63 boxes means that [tex]N = 63[/tex]

22 have the secret decoder ring, which means that [tex]k = 22[/tex]

Two are selected, which means that [tex]n = 2[/tex]

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,63,2,22) = \frac{C_{22,2}*C_{41,0}}{C_{63,2}} = 0.1183[/tex]

0.1183 = 11.83% probability that both of them have the secret decoder ring.

Answer:

What should we do the question pls

Answer:

B...?

Step-by-step explanation:

Either B or D so use your skills to find out ;)

Answer:

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distribution of n values from a normal distribution:

If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.

This means that

[tex]\mu = 46*5 = 230[/tex]

[tex]s = 4\sqrt{46} = 27.13[/tex]

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{250 - 230}{27.13}[/tex]

[tex]Z = 0.74[/tex]

[tex]Z = 0.74[/tex] has a pvalue of 0.7704

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Answer:

Step-by-step explanation:

Angle is x

Answer:

It is correct for 5. Incorrect for 6. Lastly, correct for 7.

Answer:

yes

no

yes

Step-by-step explanation:

you plug in the 3 into the x, because x=3 so therefore 3+5>7 which becomes 8>7. Is 8 more than 7? yes! so its true. For the next, 7>12, thats not true. And for the last one, 10-7<5, so 3<5, which is true.

Answer:

Base = 12

Step-by-step explanation:

Because

24 x 12 = 288 divide by 2 and you get are area 144