Please help me solving part A

Answer:

t = 4 seconds

Step-by-step explanation:

Given that,

The height of the tennis ball above the ground can be found using the function y = -12.5x + 50

where x is the time in seconds the tennis ball has been in the air.

We need to find how many seconds did it take the tennis ball to reach the ground.

When it reaches the ground, y = 0

So,

-12.5x + 50 = 0

12.5x = 50

x = 4 seconds

So, it will take 4 seconds for the ball to reach the ground.

Answer:

56.67

Step-by-step explanation:

I think it is 56.67%

Answer:

The percentage change is 56.67%.

Answer:

no and no

Step-by-step explanation:

1. 9+6 = 15 not 17

2. 9 - 3 = 6 not 5

please leave a like if this answers your question

Answer:

72

Step-by-step explanation:

because you got to multiply to see what you gone get.

Answer: 0.1974

Step-by-step explanation:

Let X be a random variable that denotes the gas mileage (in miles per gallon) of the individual sedan.

Given: Population mean: [tex]\mu=20[/tex]

Standard deviation: [tex]\sigma=2[/tex]

The probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5:

[tex]P(19.5<x<20.5)=P(\dfrac{19.5-20}{2}<\dfrac{x-\mu}{\sigma}<\dfrac{20.5-20}{2})\\\\=P(-0.25<z<0.25)=2P(0.25)-1 [P(-z<Z<z)=2P(Z<z)-1]\\\\=2(0.5987)-1=0.1974[/tex]

The required probability=0.1974

Answer:

3x+x^2-6

Step-by-step explanation:

Have a great rest of your day.

Bye

Answer:

bottom right

Step-by-step explanation:

the bottom right shows the data

Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).

In mathematics, proportionality is the connection between two factors that maintains a fixed ratio called scale factor. Or, to put it another way, if one variable is increased or divided by a specific number, the second variable will also be doubled or divided by that identical number, maintaining their proportionality. Calculus, algebra, and geometry are three areas of mathematics where this idea is frequently applied.

given

(a) If 20% of adult Americans favour the suggested reforms, the sample size needed at the very least is:

n = [(zα/2)² * p * (1-p)] / E²

where z/2 is the standard normal distribution's critical value for the chosen degree of confidence (e.g., 1.96 for a 95% confidence level).

The population proportion is p. (0.2 in this case)

The degree of inaccuracy is E. (e.g., 0.05)

When we enter the values, we obtain:

n = [(1.96)² * 0.2 * (1-0.2)] / 0.05²

n = 1536.64

Thus, the study would require at least 1537 more adult Americans to be sampled.

(b) The minimal sample size needed if the proposed modifications are

supported by 25% of all adult Americans is:

n = [(zα/2)² * p * (1-p)] / E²

where:

The standard normal distribution's critical value, z/2, depends on the desired level of confidence (e.g., 1.96 for a 95% confidence level).

The population proportion is p. (0.25 in this case)

The degree of inaccuracy is E. (e.g., 0.05)

When we enter the values, we obtain:

n = [(1.96)² * 0.25 * (1-0.25)] / 0.05² \sn = 384.16

Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).

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Answer:

18.9 eggs

Step-by-step explanation:

54÷20= 2.7

2.7 ×7=18.9

Answer:

This is convincing evidence that the responses differ between these countries.

Step-by-step explanation:

The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.

The most appropriate conclusion to draw from the test is an evidence of a significant association between the country of origin and the responses to the new advertisement

The chi-squared statistic (often denoted as χ^2) is a measure of the discrepancy between the observed frequencies and the expected frequencies in a categorical data set. It is commonly used in statistical hypothesis tests to assess whether there is a significant association or relationship between categorical variables.

The formula for calculating the chi-squared statistic depends on the type of data and the specific hypothesis being tested. In general, it involves computing the sum of squared differences between the observed and expected frequencies, divided by the expected frequencies.

The chi-squared statistic follows a chi-squared distribution, and its value can be compared to critical values or used to calculate a p-value to determine the statistical significance of the association.

Given data ,

Based on the given summary and the results of the chi-squared test, we can draw the following conclusion:

At the significance level of α = 0.05, we have enough evidence to reject the null hypothesis and conclude that there is a statistically significant difference in the responses to the new advertisement between Canadians and Americans.

The chi-squared statistic (x) of 6.110 with 2 degrees of freedom (DF) produces a p-value of 0.047, which is less than the significance level of 0.05.

This indicates that the observed differences in the responses between the two countries are unlikely to occur by chance alone, and there is evidence of a significant association between the country of origin and the responses to the new advertisement.

Hence , the chi-squared statistic is solved

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Answer:

18057

Step-by-step explanation:

uh just 200 x 10 = 200 add that to the 6 to make 18057$ which is the price of the second van.

You can try to show this by induction:

• According to the given closed form, we have [tex]S_1=3\times2^{1-1}+2(-1)^1=3-2=1[/tex], which agrees with the initial value S₁ = 1.

• Assume the closed form is correct for all n up to n = k. In particular, we assume

[tex]S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}[/tex]

and

[tex]S_k=3\times2^{k-1}+2(-1)^k[/tex]

We want to then use this assumption to show the closed form is correct for n = k + 1, or

[tex]S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}[/tex]

From the given recurrence, we know

[tex]S_{k+1}=S_k+2S_{k-1}[/tex]

so that

[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)[/tex]

[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}[/tex]

[tex]S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)[/tex]

[tex]S_{k+1}=3\times2^k-2(-1)^k[/tex]

[tex]S_{k+1}=3\times2^k+2(-1)(-1)^k[/tex]

[tex]\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}[/tex]

which is what we needed. QED

Answer:

In the explanation :)

Step-by-step explanation:

So if we have 1 cup of raisins, then we have 2 1/2 cups of pretzels. Since we doubled the raisins, we double the pretzels as well.

I believe this is right but I'm not sure anymore with today's math

Answer:

[tex]\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {[ \ ]} \\ \end{array}[/tex]

Required

Fill in the box

From the question, the range is:

[tex]Range = 60[/tex]

Range is calculated as:

[tex]Range = Highest - Least[/tex]

From the box, we have:

[tex]Least = 1[/tex]

So:

[tex]60 = Highest - 1[/tex]

[tex]Highest = 60 +1[/tex]

[tex]Highest = 61[/tex]

The box, becomes:

[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]

From the question:

[tex]IQR = 20[/tex] --- interquartile range

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Q_3[/tex] is the median of the upper half while [tex]Q_1[/tex] is the median of the lower half.

So, we need to split the given boxes into two equal halves (7 each)

Lower half:

[tex]\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } \\ \end{array}[/tex]

Upper half

[tex]\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]

The quartile is calculated by calculating the median for each of the above halves is calculated as:

[tex]Median = \frac{N + 1}{2}th[/tex]

Where N = 7

So, we have:

[tex]Median = \frac{7 + 1}{2}th = \frac{8}{2}th = 4th[/tex]

So,

[tex]Q_3[/tex] = 4th item of the upper halves

[tex]Q_1[/tex]= 4th item of the lower halves

From the upper halves

[tex]\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]

We have:

[tex]Q_3 = 32[/tex]

[tex]Q_1[/tex] can not be determined from the lower halves because the 4th item is missing.

So, we make use of:

[tex]IQR = Q_3 - Q_1[/tex]

Where [tex]Q_3 = 32[/tex] and [tex]IQR = 20[/tex]

So:

[tex]20 = 32 - Q_1[/tex]

[tex]Q_1 = 32 - 20[/tex]

[tex]Q_1 = 12[/tex]

So, the lower half becomes:

Lower half:

[tex]\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {12 } & {15} & {18}& {[ \ ] } \\ \end{array}[/tex]

From this, the updated values of the box is:

[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]

From the question, the median is:

[tex]Median = 22[/tex] and [tex]N = 14[/tex]

To calculate the median, we make use of:

[tex]Median = \frac{N + 1}{2}th[/tex]

[tex]Median = \frac{14 + 1}{2}th[/tex]

[tex]Median = \frac{15}{2}th[/tex]

[tex]Median = 7.5th[/tex]

This means that, the median is the average of the 7th and 8th items.

The 7th and 8th items are blanks.

However, from the question; the mode is:

[tex]Mode = 18[/tex]

Since the values of the box are in increasing order and the average of 18 and 18 do not equal 22 (i.e. the median), then the 7th item is:

[tex]7th = 18[/tex]

The 8th item is calculated as thus:

[tex]Median = \frac{1}{2}(7th + 8th)[/tex]

[tex]22= \frac{1}{2}(18 + 8th)[/tex]

Multiply through by 2

[tex]44 = 18 + 8th[/tex]

[tex]8th = 44 - 18[/tex]

[tex]8th = 26[/tex]

The updated values of the box is:

[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]

From the question.

[tex]Mean = 26[/tex]

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]26= \frac{1 + 2nd + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 12th + 58 + 61}{14}[/tex]

Collect like terms

[tex]26= \frac{ 2nd + 12th+1 + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 58 + 61}{14}[/tex]

[tex]26= \frac{ 2nd + 12th+304}{14}[/tex]

Multiply through by 14

[tex]14 * 26= 2nd + 12th+304[/tex]

[tex]364= 2nd + 12th+304[/tex]

This gives:

[tex]2nd + 12th = 364 - 304[/tex]

[tex]2nd + 12th = 60[/tex]

From the updated box,

[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]

We know that:

The 2nd value can only be either 2 or 3

The 12th value can take any of the range 33 to 57

Of these values, the only possible values of 2nd and 12th that give a sum of 60 are:

[tex]2nd = 3[/tex]

[tex]12th = 57[/tex]

i.e.

[tex]2nd + 12th = 60[/tex]

[tex]3 + 57 = 60[/tex]

So, the complete box is:

[tex]\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}[/tex]

Answer: I did a screen shot of the answer

Step-by-step explanation:

Answer:

630 ml

Step-by-step explanation:

1 glass contains 180 ml juice

7/2 glasses contains = 180 × 7/2 = 630 ml

Answer:

Hello!

Distributive property: a(b+c)=ab+ac

Minus and plus sign.

Then multiply by the numbers.

Hope this helps!

Thanks!

Have a great day!

Step-by-step explanation:

Answer:

b = 10

Step-by-step explanation:

P = 2 (l + b)

l = 15

P = 50

Substitute

50 = 2 (15 + b)

multiply

50 = 30 + 2b

subtract

20 = 2b

divide

b = 10

P = 2 (l + b) when l = 15 and P = 50

To find b

P = 2 (l + b) [Given]

Putting the value of P = 50 and l = 15 we get,

50 = 2(15 + b)

[tex] \frac{50}{2} [/tex] = 15 + b

25 = 15 + b

25 - 15 = b

10 = b

So, b = 10

Answer:

$113.1

Step-by-step explanation:

: you add the 30% + the 87 bucks. Hope it helps friend! Please mark the brainliest. A.

Answer:

20 1/3 or 61/3

Here you go, have a nice day!!

Answer:The mode is equal to the minimum

Step-by-step explanation:

Answer: The mode is equal to the minimum

Step-by-step explanation:

Answer: if you add then all up you get 75 so it could be A or D  I don't know if it want the volume and the volume is 75 hope this helped

Step-by-step explanation:

pleas make brainly

Answer:

One time

Step-by-step explanation:

The probability of picking a purple marble once is 1/6, so if I pick a marble 6  times, then (1/6)*6=1

Answer:

y-2=0(x-3)

Step-by-step explanation:

Answer:

D

Step-by-step explanation: A filled bubble means that it is equal to and whichever way the arrow is point represents whether the answer is greater than or less than.

The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.

The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

x=34.5

Step-by-step explanation:

(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:

3x+18+93=`80

2x=180-111

x=69/2

x=34.5

Answer:

9/95

Step-by-step explanation:

just had an exam on it

hope this helps:)

Answer:

$9.60 for 1 hour

The unit rate is $9.60

Step-by-step explanation: