Jane wants to buy a movie that costs $15.49. She has $8.75. How much more money does Jane need to buy the movie?

Answer:

I E I ≤ 0.0522

Step-by-step explanation:

See attached image file

Answer: player A = 11/16 and player B = 5/16

Step-by-step explanation:

If a coin was to be tossed to determine the winner possible outcomes using arithmetical triangle.

Player A needs 2 points = 11

Player B needs 3 points = 5

Total outcome of tossing a coin = 16

Player A = 11/16 = 0.6875

Player B = 5/16 = 0. 3125

Or

Using the fifth roll of the pascal triangle (2+3) outcome

( 1, 4, 6, 4, 1 )

Addition of the first 3 represent Player A chances of winning = ( 1+ 4 + 6 ) = 11

And the last two = ( 1 + 4 ) = 5 represents the chances of team B winning

Total number of outcome = ( 1 + 4 + 6 + 4 + 1 ) = 16

Answer:

Number of students want to go to Theme Park = 75

Step-by-step explanation:

Note: The given question is incomplete. Complete question is as follow.

Given:

Number of sample student = 30

Place                 Number of students  want to go

Theme Park                          10

Theater                                  5

Sports Center                        8

Seaside                                  7

Find:

How many students want to go to Theme Park.

Computation:

⇒ Probability for  students want to go to Theme Park =  10 / 30

⇒ Probability for  students want to go to Theme Park =  1 / 3

⇒ Number of students want to go to Theme Park =  [1 / 3]225

⇒ Number of students want to go to Theme Park = 75

Final answer:

Using a sample proportion, if 12 out of 30 students chose the Theme Park, we estimate that 90 out of 225 students will want to go to the Theme Park.

Explanation:

To estimate how many of the 225 students will want to go to the Theme Park, we use the results from Sally's sample of 30 students. First, we need to know the number of students in the sample who chose the Theme Park. Suppose, for instance, that 12 out of the 30 sampled students chose the Theme Park. We can set up a proportion to find the estimated number of students out of 225 who would choose the same.

Here's the proportion based on the sample data:

Number of students who chose Theme Park in the sample / Total number of students in the sample = Estimated number of students who will choose Theme Park / Total number of students planning to go

In our example, this is 12/30 = x/225, where x is the estimated total.

We cross-multiply to solve for x:

12 × 225 = 30 × x

x = (12 × 225) / 30

x = 90

Thus, we estimate that 90 out of the 225 students will prefer to go to the Theme Park.

We have been given that Regan sold 14 necklace and made a total of $210. Each necklace cost the same amount. We are asked to find the cost of one necklace.

To find the cost of one necklace, we will divide total cost by total number of necklaces as:

[tex]\text{Cost of one necklace}=\frac{\text{Total cost}}{\text{Total necklaces}}[/tex]

[tex]\text{Cost of one necklace}=\frac{\$210}{14}[/tex]

[tex]\text{Cost of one necklace}=\$15[/tex]

Therefore, the cost of one necklace is $15.

Answer:

12 less than a number s

Step-by-step explanation:

less than means after

Answer:

5x+4y=85-

 Slope = -2.500/2.000 = -1.250

 x-intercept = 85/5 = 17

 y-intercept = 85/4 = 21.25000

2x+3y=41-

 Slope = -1.333/2.000 = -0.667

 x-intercept = 41/2 = 20.50000

 y-intercept = 41/3 = 13.66667

Answer:

13/15

Step-by-step explanation:

First, you find a common denominator. 10 x 3 and 6 x 5 both equal 30, so 30 can be used as a common denominator. You also have to multiply the numerator by the same number you multiplied in the denominator. Since we did 10 x 3, do 7 x 3, and with the other fraction we did 6 x 5, so do 1 x 5. You should get 21/30 + 5/30. Since they have the same denominator, you can add them. You'll get 26/30, which can still be simplified. 30 divided by 2 is 15, and 26 divided by 2 is 13. The final answer is 13/15.

Answer:

The forumula for finding area of the circle is  \pi r^2.

Step-by-step explanation:

Let's find the radius of the mug:

r=\frac{d}{2}=\frac{8}{2}=4

Now, we can to express the area of each cookie in terms of pi:

Area= \pi *4^2=16\pi

Answer:

A. -1.75

Step-by-step explanation:

- means negative, so -1. 1 quarter of 1 would be .25, 2 quarters would be .50, 3 quarters would be .75, and 4 quarters would be 1.0.

Answer:

-1.75

Step-by-step explanation:

i did it earlier

Answer:

INCORRECT: The range of the F value is (-[infinity], +[infinity])

Step-by-step explanation:

While it's true that there is no maximum value to an F value, you cannot have a negative F statistic and the lowest value you can have is zero.

The incorrect statement about ANOVA test is that the range of F value is (-∞, ∞).

ANOVA test is abbreviated for Analysis of Variance. This test is used to find whether there is a significant difference between the means of certain number of groups using variance.

Null hypothesis in an ANOVA test is that there is no difference in the mean of groups. Alternate hypothesis of ANOVA test is that at least one of the group has different mean than others.

In ANOVA test, an F value is the ratio of variation between sample means to the variation within sample means. So the first statement which says F value as a ratio of between-group mean square to within-group mean square is correct.

We have ANOVA test is an appropriate test for comparing three or more independent groups in a continuous variable. Second statement is also correct.

The value of F will always be positive. The range of F starts from 0. So the statement that range of F value is (-∞, ∞) is incorrect.

By the definition of ANOVA test itself, we can say that a significant test result in ANOVA means that means are not all equal. So fourth statement is also correct.

Hence the statement range of F value is (-∞, ∞) is incorrect.

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Answer:

the annual rate of inflation r is 0.023

Step-by-step explanation:

Given by the expression:

[tex]r=(\frac{p_2}{p_1})^{1/n}-1[/tex]

The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013.

Let [tex]p_1 = 0.36[/tex]

[tex]p_2 = 3.53[/tex]

n = 2013 - 1913 = 100

replacing our values into the given equation; then the annual rate of inflation r is as follows:

[tex]r=(\frac{3.53}{0.36})^{1/100}-1[/tex]

r = 0.023

Hence, the annual rate of inflation r is 0.023

The annual rate of inflation for the period 1913 to 2013 is approximately 2.3%.

To find the annual rate of inflation, we use the formula: r = [tex](\frac{p_{2} }{p_{1} } )^{\frac{1}{n} }[/tex] - 1

⇒ p₁ = $0.36 (price in 1913)

⇒ p₂ = $3.53 (price in 2013)

⇒ n = 2013 - 1913 = 100 years

⇒ 3.53 ÷ 0.36 = 9.8056

⇒ [tex]9.8056^{\frac{1}{100} }[/tex] ≈ 1.023

⇒ 1.023 - 1 = 0.023

Thus, the annual rate of inflation r is approximately 0.023, or 2.3% when converted to a percentage.

Complete question:

When the average price of an item increases from p₁ to p₂ over a period of n years, the annual rate of inflation r (in decimal form) is given by r = [tex](\frac{p_{2} }{p_{1} } )^{\frac{1}{n} }[/tex] − 1. The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013. What was the annual rate of inflation r? Write your answer in decimal form to the nearest thousandth.

Answer:

The 95% confidence interval for the average credit score is between 697.675 and 802.325

Step-by-step explanation:

We are in posession of the sample standard deviation, so the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

M = T*s = 2.093*25 = 52.325

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 750 - 52.325 = 697.675

The upper end of the interval is the sample mean added to M. So it is 750 - 52.325 = 802.325

The 95% confidence interval for the average credit score is between 697.675 and 802.325

The 95% confidence interval for the average credit score given the sample mean of 750, standard deviation of 25 and sample size of 20 is from 741.28 to 758.72.

To calculate a 95% confidence interval for the given information, we can use the formula: x ± Z * (s / √n), where x is the sample mean, Z is the Z-score for a 95% confidence interval, s is the standard deviation, and n is the size of the sample.

Here, the sample mean (x) is 750, the sample standard deviation (s) is 25, the Z-score for a 95% confidence interval is approximately 1.96, and the number of mortgages in the sample (n) is 20.

By plugging in these values into the formula, we get:750 ± 1.96 * (25/√20), which equals 750 ± 8.72.

Therefore, the 95% confidence interval for the average credit score is from 741.28 to 758.72.

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Answer: 105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

C

Answer:

4

Step-by-step explanation:

n/6+2

Let n = 12

12/6 +2

Division first

2 +2

4

Answer:

4

Step-by-step explanation:

plug in 12 for n and you get :: 12/6 + 2

PEMDAS says to divide first, 12/6 is 2. you add 2 next and you get 4

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Answer: 56 degrees

Step-by-step explanation:

We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).

124 and c are supplementary angles. We can represent this in an equation to solve for c:

[tex]124 + c = 180\\\\c = 56[/tex]

Complete Question

Melanie is making necklaces in four different lengths. n each necklace, the ratio of blue beads to orange beads remains the same. How many orange beads will Melanie need for a necklace of 50 beads?

Answer:

Melanie will need a total of 25 orange beads for a necklace of 50 beads

Step-by-step explanation:

Given

Ratio of blue beads to orange beads is the same.

This can be represented as 1:1

Required

Number of orange beads needed for a necklace of 50 beads.

From the given data, we have that the ratio of blue beads to orange beads is the same.

i.e. Blue:Orange = 1:1

To calculate the number of orange beads needed,

First, we have to convert the ratio to fraction.

This is done as follows;

Fraction of orange beads = Ratio of orange beads divided by Total Ratio

Ratio of orange beads  = 1

Total Ratio = 1 + 1 = 2

Hence,

Fraction of orange beads = [tex]\frac{1}{2}[/tex]

This fraction will then be multiplied by the total number of beads to give the number of orange beads needed.

Number of orange beads needed = [tex]\frac{1}{2} * 50[/tex]

Number of orange beads needed = [tex]\frac{50}{2}[/tex]

Number of orange beads needed = [tex]25[/tex]

Hence, Melanie will need a total of 25 orange beads for a necklace of 50 beads

Final answer:

The possible model for the number of incorrect questions that agree is a binomial distribution. The teacher can use this model to calculate the probability of observing 8 or more agreed-upon answers.

Explanation:

The possible model for the number of incorrect questions that agree is a binomial distribution because there are a fixed number of trials (the number of questions) and each trial has two possible outcomes (agree or disagree).

The probability that student B guesses the same incorrect answer as student A on a particular question is 1/4, so the probability of agreeing on a particular question is 1/4. Since there are 20 questions, the probability that they agree on exactly 8 questions is given by the binomial probability formula: P(x = 8) = C(20, 8) * (1/4)^8 * (3/4)^12.

The teacher can use this model to calculate the probability of observing 8 or more agreed-upon answers by summing the probabilities of all possible outcomes with 8 or more agreed-upon answers: P(x ≥ 8) = P(x = 8) + P(x = 9) + ... + P(x = 20).

Answer:B. 68.25

Step-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

Given;

(8/9)x = 32

Solving for x

Multiply through by 9

(8/9)×9 ×x = 32×9

8x = 32×9

Divide through by 8

8x/8 = 32×9/8

x = 36

Answer:

-3/4

Step-by-step explanation:

(3 - 0)/(1 - 5) =

3/-4 =

-3/4

Answer:

-3/4

Step-by-step explanation:

This question is actually quite easy and can be done through the process of elimination. We are going from x=1 to x=5, so we are going right. We are going from y=3 to y=0, so we are going down. Because we are going down as we move right, the slope must be negative.

The actual equation for slope is:

(y2-y1)/(x2-x1) for (x1, y1), (x2, y2)

Answer:

y = 1 + ¼x²

Step-by-step explanation:

Given

One more than one-fourth the square of a number x is y​

Required

Represent algebraically

We start by analysing the expression one after the other.

First, the two numbers to compare are represented by x and y.

Where y is the resulting number.

So, we start with y =;

Then we move backwards

- "the square of a number, x" can be represented with x²

- one-fourth "the square of a number, x".

The expression in quote has already been represented by x².

So, we can replace this expression with x².

This will give us: one-fourth of x²

One-fourth means ¼

Hence, one-fourth of x² = ¼ * x²

- "One more than" means 1 has to be added to the previous expression to give y.

In other words; 1 + ¼ * x²

Finally, we'll bring the expressions together to give

y = 1 + ¼ * x²

y = 1 + ¼x²

Hence, "One more than one-fourth the square of a number x is y​" is represented in algebra by y = 1 + ¼x²

Answer: y= -4x + 1

Step-by-step explanation:

(-1,5) (1,-3)

5-(-3)=8

-1-1=-2

8/-2=-4  negative 4 is the slope. Now find the y-intercept using the formula y=mx + b where b is the y intercept.

so we will plot the  y and x values plus the slope to find the y-intercept.

5=-4(-1) + b  solve for b

5=4 + b

b=1

so now will write the equation y = -4x +1

Answer:

2y² -4y +5

Step-by-step explanation:

First you need to find the sum of y²+5y-1 and 3y²-2y+4

(y²+5y-1) + (3y²-2y+4) => y²+3y²+5y-2y-1+4

                                  =4y²+3y+3

Next is to subtract 2y²+7y-2 from the sum calculated above in order to  find the algebraic expression asked in the exercise

4y²+3y+3 -(2y²+7y-2) => 4y²-2y²+3y-7y+3+2

                                   =2y² -4y +5

Therefore, the algebraic expression asked must be 2y² -4y +5

Answer:

  0.46 seconds or 11.72 seconds

Step-by-step explanation:

Putting 87 for h in the height equation gives ...

  87 = -16t^2 +195t

Dividing by -16 puts this in a little nicer form for finding solutions.

  t^2 -(195/16)t = -87/16

To "complete the square", we can add the square of half the coefficient of t:

  t^2 -(195/16)t + (195/32)^2 = (195/32)^2 -87/16

  (t -195/32)^2 = 32457/1024

Taking the square root, we have ...

  t -195/32 = ±(1/32)√32457

  t = (195 ±√32457)/32 ≈ 0.4638 or 11.7237

The rocket is at a height of 87 feet after 0.46 seconds, and again after 11.72 seconds.

Answer: p*$4 + d*$3 ≥ $24

Step-by-step explanation:

The price P of popcorn is P = $4, the pricec of a drink is D = $3

He only has $24

The equation that represents the number of popcorns and drinks he can buy us:

p*$4 + d*$3 ≥ $24

This means that the maximum amount of money he can spend is $24.

In this equation you can give the value of p or d, and then find the maximum possible value for the other variable.

Answer:

[tex]z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-0.820)=0.412[/tex]  

Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.

Step-by-step explanation:

Information provided

[tex]\bar X=87.8[/tex] represent the sample mean for the scores on the standardized test in the general population of 6th graders    

[tex]\sigma=17.3[/tex] represent the population standard deviation

[tex]n=38[/tex] sample size  

[tex]\mu_o =90.1[/tex] represent the value that we want to verify

z would represent the statistic

[tex]p_v[/tex] represent the p value for the test

System of hypothesis

We want to verify if the new teaching method negatively affects reading comprehension scores, so then the system of hypothesis for this case are:

Null hypothesis:[tex]\mu =90.1[/tex]  

Alternative hypothesis:[tex]\mu \neq 90.1[/tex]  

Since we know the population deviation the statistic would be:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-0.820)=0.412[/tex]  

Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.

Answer:

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 = 90.1

For the alternative hypothesis,

µ < 90.1

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 90.1

x = 87.8

σ = 17.3

n = 38

z = (87.8 - 90.1)/(17.3/√38) = - 0.82

Looking at the normal distribution table, the probability corresponding to the z score is 0.21

Assume significant level = 0.05

Since alpha, 0.05 < than the p value, 0.21, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, there is not enough evidence to conclude that the new teaching method negatively affects reading comprehension scores.

Answer:45=3x3x5

Step-by-step explanation:

prime factorization of 45

45 ➗ 3=15

15 ➗ 3=5

5 ➗ 5=1

45=3x3x5

Final answer:

The prime factorization of 45 is found by dividing it into prime numbers, leading to the result of 3² x 5.

Explanation:

The prime factorization of 45 is the process of breaking down the number 45 into a product of prime numbers.

To find the prime factorization, we can start by dividing 45 by the smallest prime number 2, but since 45 is not even, we move to the next prime number, which is 3. We find that 45 is divisible by 3 (45 ÷ 3 = 15).

We continue the process with the quotient. Since 15 is also divisible by 3 (15 ÷ 3 = 5), we divide it by 3 again.

Finally, we are left with the number 5, which is a prime number.

Therefore, the prime factorization of 45 is 3² x 5.

Answer:

False

Step-by-step explanation:

Trapizoids may have one pair of parallel sides, but parrallelograms must have 2 parallel pairs of sides.

False, all quadrilaterals are not parallelograms.

A four-sided polygon with four edges and four corners is known as a quadrilateral.

A parallelogram is a basic quadrilateral with two parallel sides.

Because the opposite sides of a kite are not always parallel, not every kite is a parallelogram.

False, all quadrilaterals are not parallelograms.

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Answer:

[tex]z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29[/tex]  

The p value for this case is given by:

[tex]p_v =P(z>4.29)=8.93x10^{-6}[/tex]  

Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.

Step-by-step explanation:

Information given

n=165 represent the random sample selected

55 represent the students indicated a belief that such software unfairly targets students

X =165-55= 110 represent students who NOT belief that such software unfairly targets students

[tex]\hat p=\frac{110}{165}=0.667[/tex] estimated proportion of  students who NOT belief that such software unfairly targets students

[tex]p_o=0.5[/tex] is the value that we want to check

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to check if the majority of students at the university do not believe that it unfairly targets them, and the system of hypothesis are:

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

After replace we got:

[tex]z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29[/tex]  

The p value for this case is given by:

[tex]p_v =P(z>4.29)=8.93x10^{-6}[/tex]  

Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.