Which type of number is 0.46?
A Whole
B Natural
c Terminating and rational
D Terminating and irrational

Answer:180cm^2

Step-by-step explanation:

A1=25×20=500

A2=16×20=320

A1-A2

500-320=180

Answer:

481

Step-by-step explanation:

Given:

Variance = 1.44

S.d = √1.44 = 1.2

C.I = 80%

Margin of error, E = 0.07

Mean = 3.6

Using Z table, the Z score for 80% confidence interval, Zc = 1.28

To find the sample size, n, we have:

[tex] n= [\frac{Z_c * s.d}{E}]^2 [/tex]

Substituting figures in the formula, we have:

[tex] n = [\frac{1.28 * 1.2}{0.07}]^2 [/tex]

n = 21.94286²

n = 481.49

Approximately, n = 481

Final answer:

To find the equivalent inequality to 5x + 2(3x + 1) < 3, distribute the 2 and combine like terms, yielding 11x + 2 < 3. Thus, the answer is b. 11x + 2 < 3.

Explanation:

The question asks which inequality is equivalent to 5x + 2(3x + 1) < 3. To find the equivalent inequality, we distribute the 2 into the parentheses and combine like terms:

Therefore, the correct answer is b. 11x + 2 < 3.

Answer:

One proportion

Step-by-step explanation:

A proportion refers to a statement that two different ratios are equal. There are two ways It can be written: since two equal fractions a/b = c/d; or using a colon, a:b = c:d. in view of the fact that the cross products are of both equal to one hundred, we are aware that these ratios are equal and that this is a true proportion.

When making inference about a population based on a single group of subject involving proportion, then we use a one sample proportion test.

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Answer:

4  to 5

Step-by-step explanation:

20 footballs to 25 footballs

Divide each term by 5

20/5  to 25/5

4  to 5

Answer:

 x < 3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    4*x-7-(5)<0

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x - 12  =   4 • (x - 3)

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  4

Solve Basic Inequality :

2.2      Add  3  to both sides

            x < 3

By solving the given inequality "[tex]4x-7<5[/tex]", we get the answer "[tex]x <3[/tex]". A complete solution is below.

The given equation of inequality is:

Now,

By adding "7" both sides of the equation, we get

→ [tex]4x-7+7<5+7[/tex]

→              [tex]4x< 12[/tex]

→                [tex]x < \frac{12}{4}[/tex]

→                [tex]x < 3[/tex]

Thus the above solution is correct.

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The chi-square test shows strong evidence [tex]\left(\chi^2=93.33\right)[/tex] of an association between sweet drink consumption and children's overweight status one year later, rejecting the null hypothesis (p < 0.05).

To determine if there is a significant association between the number of sweet drinks consumed and whether or not children are overweight after one year, we can perform a chi-square test for independence. The null hypothesis ([tex]H_0[/tex]) assumes that there is no association, while the alternative hypothesis ([tex]H_a[/tex]) suggests that there is a significant association.

Let's set up the hypotheses:

We will use the chi-square test statistic to evaluate these hypotheses. The formula for the chi-square test statistic [tex]\left(\chi^2\right)[/tex] for a contingency table is given by:

[tex]\chi^2=\sum \frac{\left(O_{i j}-E_{i j}\right)^2}{E_{i j}}[/tex]

Where:

[tex]O_{ij[/tex] is the observed frequency in cell ij,

[tex]E_{ij[/tex]  is the expected frequency in cell ij, which is calculated under the assumption of independence.

Let's calculate the expected frequencies and then use them to compute the chi-square test statistic.

To calculate the expected frequencies ([tex]E_{ij[/tex]), we first need to calculate the row and column totals, and the overall total.

Now, we can calculate the expected frequencies using the formula:

[tex]E_{i j}=\frac{\text { Row Total } \times \text { Column Total }}{\text { Grand Total }}[/tex]

Let's calculate [tex]E_{ij[/tex] for each cell.

Now, using the observed and expected frequencies, we can calculate the chi-square test statistic.

[tex]\chi^2=\sum \frac{\left(O_{i j}-E_{i j}\right)^2}{E_{i j}}[/tex]

After calculating this sum, we can compare the result to a chi-square distribution with degrees of freedom given by (number of rows−1)×(number of columns−1). Let's proceed with the calculations.

The chi-square test statistic [tex]\left(\chi^2\right)[/tex] is approximately 93.33. To determine the p-value and make a conclusion about the association, we need to compare this test statistic to the critical value from the chi-square distribution.

The degrees of freedom (df) for this test is (4−1) × (2−1)=3.

At a significance level of 0.05, we can look up the critical value from the chi-square distribution table with df = 3. The critical value is approximately 7.815.

Since 93.33>7.815, we reject the null hypothesis. There is evidence of a significant association between the number of sweet drinks consumed and whether or not children are overweight after one year.

Complete Question:

Answer:

64k^2 - 16k +1

Step-by-step explanation:

We can rewrite this as

(-8k+1) ^2

We know that (a+b)^2 = a^2 +2ab +b^2

Let a = -8k  and b = 1

(-8k+1) = (-8k)^2 +2*(-8k)(1) + 1^2

           =64k^2 - 16k +1

Answer:

64k² - 16k + 1

Step-by-step explanation:

(−8k+1)(−8k+1)

64k² - 8k - 8k + 1

64k² - 16k + 1

Answer:

0.75

Step-by-step explanation:

Autosomal dominant: A pattern of inheritance in which an affected individual has one copy of a mutant gene and one normal gene on a pair of autosomal chromosomes

Heterozygous just means that a person has two different versions of the gene (one inherited from one parent, and the other from the other parent).

Being homozygous for a particular gene means you inherited two identical versions.

The trait is autosomal dominant so the characters pass into the next generation in a large ratio. the person who is heterozygous for the character have two type of allele which represents the trait for long earlobes and also for short earlobe.So a person is paired with homozygous individuals who have pure character for short earlobes.The percentage of their first child with long earlobes would be 75 percent. This is due to the dominance of the character in a generation.

Answer: The sine of ∠I is represented by the ratio 63:65

Step-by-step explanation:

First, let's draw the triangle (see the picture below.)

Remember SOHCAHTOA? We need to use it here.

-sin = opposite/hypotenuse

-cos = adjacent/hypotenuse

-tan = opposite/adjacent.

Assuming that ∠I is Ф, we can see that its opposite side is equal to 63 and the hypotenuse is 65. Therefore,

[tex]sin = \frac{63}{65}[/tex]

The sine ratio is 63: 65.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

Given:

∠K=90°, KJ = 63, IK = 16, and JI = 65.

Using Sine Ratio

sin [tex]\theta[/tex] = opposite/hypotenuse

sin [tex]\theta[/tex] = 63/65

Hence, the sine ratio is 63: 65.

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Answer:

[tex] ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75[/tex]

±0.75 ounce

Step-by-step explanation:

Assuming this complete question: The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in that state. To do this, they have selected a random sample of 300 people from the designated population. The following results were recorded: xbar=34.5 ounces, s=7.9 ounces Given this information, if the leaders wish to estimate the mean milk consumption with 90 percent confidence, what is the approximate margin of error in the estimate?

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

[tex]\bar X=34.5[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=7.9 represent the sample standard deviation

n=300 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

In order to calculate the critical value [tex]t_{\alpha/2}[/tex] we need to find first the degrees of freedom, given by:

[tex]df=n-1=300-1=299[/tex]

Since the Confidence is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,199)".And we see that [tex]t_{\alpha/2}=1.653[/tex]

And the margin of error is given by:

[tex] ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75[/tex]

±0.75 ounce

Answer:

The approximate margin of error in the estimate is ±0.75 ounces.

Step-by-step explanation:

The question is incomplete:

The following results were recorded: xbar=34.5 ounces, s=7.9 ounces.

The sample size is n=300.

We will use the sample standard deviation to estimate the population standard deviation, so we will use the t-statistic.

To develop a confidence interval, we first have to calculate the degrees of freedom, and then look up in a t-students distribution table the critical value for a 90% confidence interval.

The degrees of freedom are:

[tex]df=n-1=300-1=299[/tex]

The critical value for a 90% CI is t=1.65.

Now, we can calculate the margin of error of the confidence interval as:

[tex]E=t\cdot s/\sqrt{n}=1.65*7.9/\sqrt{300}=13.035/17.32=0.75[/tex]

The lower and upper bounds of the confidence interval will be:

[tex]LL=\bar x-t\cdot s/\sqrt{n}=34.5-0.75=33.75\\\\UL=\bar x+t\cdot s/\sqrt{n}=34.5+0.75=35.25[/tex]

The confidence interval is (33.75, 35.25)

1st sample 1.5

2nd sample -2.5

3rd sample 5.5 this is the correct answers verified by the website ed

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question 1: 1.5

Question 2: -2.5

Question 3: 5.5

b.

If it's a (+,+) it's the 1st quadrant. If it's a (-,+) it's the 2nd quadrant. If its a (-,-) it's the 3rd quadrant. And if it's a (+,-) it's the 4th quadrant

Answer:

B

Step-by-step explanation:

Answer: The alternative hypothesis represents the claim

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 0.38

For the alternative hypothesis,

µ > 0.38

Considering the population proportion, probability of success, p = 0.38

q = probability of failure = 1 - p

q = 1 - 0.38 = 0.6

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 176

n = number of samples = 400

P = 176/400 = 0.44

We would the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.44 - 0.38)/√(0.38 × 0.62)/400 = 2.47

Recall, population proportion, P = 0.38

The difference between sample proportion and population proportion(P - p) is 0.44 - 0.38 = 0.06

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.38 - 0.06 = 0.32

the p for the right tail is 0.38 + 0.06 = 0.44

These proportions are higher and lower than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above z is 1 - 0.9932 = 0.0068

We would double this area to include the area in the left tail of z = - 2.47. Thus

p = 0.0068 × 2 = 0.014

Since alpha, 0.01 < than the p value, 0.014, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, we do not have enough evidence to reject the​ null hypothesis

Answer:

iii. 2.00

Step-by-step explanation:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the population mean(the mean we are testing), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

We are testing a mean of 3 times.

This means that [tex]\mu = 3[/tex]

The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minutes. Sample of 100.

So [tex]X = 3.1, \sigma = 0.5, n = 100[/tex]

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]t = 2[/tex]

So the correct answer is:

iii. 2.00

Answer:

y = -14 in simplest form hope this helped

Step-by-step explanation:

Simplfied Answer: [tex]6b-4[/tex]

Combine Like Terms

[tex]8b+-2b+-4\\(8b+-2b)+(-4)\\6b+-4[/tex]

Answer:

[tex]8b - 2b - 4 \\ 6b - 4 \\ = 2(3b - 2)[/tex]

Answer:

152

Step-by-step explanation:

[tex]m \angle {WYZ}=104[/tex] is given, and the angle next to it is a supplement. (Unfortunately, that angle can't be named in the usual way because there is no labeled point "southeast" of point Y.)

That angle has measure 180 - 104 = 76.

Now arc WXY's measure is twice the measure of this angle, so mWXY = 2(76) = 152.

Answer:

152

Step-by-step explanation:

Look at the attached picture ⤴

Hope it will help u...:)

To determine the scale of a drawing, you need the dimensions on the drawing or map as well as the actual dimensions of the object. The scale is then calculated as the ratio of these two sets of dimensions. However, without the dimensions of the drawing in this case, it is not possible to determine the exact scale.

The scale of a drawing is a ratio that compares the dimensions of the physical object to the dimensions on the drawing or map. In this case, the physical object is a pool that measures 30 feet by 66 feet. To find the scale, you would need additional information such as the dimensions of the pool in the drawing.

For example, if the pool is drawn as 2 inches by 4.4 inches on the paper, then the scale of the drawing would be 1 inch = 15 feet (for length) and 1 inch = 15 feet (for width), as 30 feet / 2 inches = 15 feet per inch and 66 feet / 4.4 inches = 15 feet per inch respectively.

Without this additional information, it is not possible to provide the exact scale of the drawing.

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The scale for the drawing shown is 1 in = 6 feets

Using the parameters given ;

Actual dimension :

Drawing dimension :

To calculate the scale of the drawing : Take the ratio of equivalent sides of the two drawings ;

Now we have ;

Hence the scale drawing is :

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Answer:

the correct answer is B

Step-by-step explanation:

i got it correct choosing B on the assignment ;D

The triangle formed by Lin's walking path is an acute triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Lin initially walked west 651 feet from his house to the lecture hall.

After class, he walked northeast 910 feet to the gym.

Finally, he walked 615 feet back to his house.

If we draw a diagram, placing Lin's house to the left, the lecture hall to the right, and the gym above, we can see that Lin walked in a diagonal path from the gym to his house.

Since Lin initially walked west and then northeast, the resulting direction would be southeast.

Regarding the type of triangle formed by Lin's walking path, we can consider the sides and angles.

Lin walked 910 feet northeast and 615 feet back to his house.

These sides are not equal in length, indicating that it is not an equilateral triangle.

Additionally, since Lin walked southeast, the angle at the gym is acute (less than 90 degrees).

Therefore, the triangle formed by Lin's walking path is an acute triangle.

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Answer:

4.1 >

Step-by-step explanation:

Answer:

Among 4.1 and 4.085

4.1 is greater

:))

Answer:

41

Step-by-step explanation:

PEMDAS parentheses equation multiplication division adding subtraction

Answer:

Step-by-step explanation:

The sample proportion is the point estimate for the population proportion.

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

a) From the information given,

n = 1160

x = 387

p = 387/1160 = 0.33

q = 1 - 0.33 = 0.67

the point estimate of the proportion of the population who would answer yes = 0.33

b) To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.5 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Therefore,

Margin of error = 1.96√(0.33)(0.67)/1160 = 0.027

c) the​ 95% confidence interval for the population proportion is

0.33 ± 0.027

The numbers represent the sample proportion and the margin of error

d) The assumptions are

1) the sampling must be random

2) the sample size shouldn't be more than 10% of the population

10/100 × 1160 = 116

387 > 116

3) the sample size should be sufficiently large. That is, greater than 30

387 > 30

The point estimate is 33.4%. The margin of error for a 95% confidence interval is ±2.8%. That makes the 95% confidence interval (0.306, 0.362), and we can say with 95% confidence that the true population proportion lies within this interval. For the confidence interval to be valid, the survey must be randomized, and have at least 10 yeses and noes.

The subject here is statistics, and it involves estimating a population proportion and calculating a margin of error and a confidence interval. The proportion of subjects who said yes is 387/1160=0.334 or 33.4%. This represents the point estimate of the proportion of the entire population who would answer yes.

For the margin of error (ME) formula for a confidence interval, we use the formula ME=Z*(sqrt[(p(1-p))/n]). For a 95% confidence interval, our Z-score is approximately 1.96. Inserting our values gives us ME=1.96*(sqrt[0.334(1-0.334)/1160])≈0.028, or 2.8%.

To calculate the 95% confidence interval, subtract and add the margin of error from the point estimate: (0.334 - 0.028, 0.334 + 0.028) or (0.306, 0.362). These numbers mean that we're 95% confident that the true population proportion who would say yes lies within this interval.

To form a valid confidence interval, we need two assumptions: a random sample and at least 10 successes and failures. The survey presumably uses a random sample. With 387 yeses and 773 noes, we satisfy the success-failure condition.

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Answer:

170

Step-by-step explanation:

Hello!

Let's represent a decimal as a fraction. That will help.

Since division is multiplication by the reciprocal, we can represent 0.01 as 1/100 which will be 100 when we divide.

1.7 * 100 = 170.0 (when we move one spot over.)

Thus, we see that [tex]\boxed{170}[/tex] is the answer.

Hope this helps!

Answer:

A = 11,600

P = 6,000

Total return = 11600-6000/6000 X 100%= 93.3%= (11600/6000) (1/17)– 1= 0.03954 * 100%= 3.954= 4.0%.

Step-by-step explanation:

The total return after 18 years in a mutual fund of $6300 is $4,900 and the annual return percentage is 77.78%.

Total Return:

Calculate the total return: $11,200 (selling price) - $6,300 (purchase price) = $4,900

Annual Return Percentage:

Annual Return Percentage = [(Final Value - Initial Value) / Initial Value]  * 100

Find the percentage return: ($4,900 / $6,300) x 100%

Annual return percentage = 77.78%

Answer:

36 inches

Step-by-step explanation:

1 foot is equal to 12 inches so if the kite is 3 feet you would multiply 12 times 3 and get 36 hope this helps (Brainliest???)

The kite is 36 inches long. This is because 1 foot is equivalent to 12 inches, and the kite is 3 feet long.

The question asks how many inches long is a kite that is 3 feet long. We know that 1 foot is equal to 12 inches. Therefore, to get the length of the kite in inches, we need to multiply 3 feet by 12. So, 3 feet is equal to 36 inches.

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Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64