A store buys nine blue hats for every seven red hats.

If the store purchased 28 red hats, how many blue hats did they purchase?

Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.

The formula to calculate the simple interest is;

I = PRT

Where;

P is principal

R is rate

T is time

Now, we are given that;

Bank A;

Principal amount; P = $2550

Interest rate; R = 11.5% = 0.115

Time; t = 6 months = 0.5 years

Thus;

I = (2550 * 0.115 * 0.5)

I = $146.625

Amount to be repaid = 2550 + 146.625

Amount to be repaid = $2,696.625

Bank B;

Principal amount; P = $2550

Interest rate; R = 7.5% = 0.075

Time; t = 12 months = 1 year

Thus;

I = (2550 * 0.075 * 1)

I = $191.25

Amount to be repaid = 2550 + 191.25 = $2,741.25

Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.

Read more about simple interest at; https://brainly.com/question/20690803

#SPJ1

The circumference of the circle is 62.8cm.

The Circumference of the circle is given by the formula,

Circumference = 2*\(\pi\)*r cm.........equation 1

Given, r = 10cm

On substituting the radius value in equation 1

Circumference = 2*\(\pi\)*10

Circumference = 62.8 cm

Therefore, the circumference of the circle is 62.8cm.

Learn how to calculate the Area,

https://brainly.com/question/2607596

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

For more such questions on geometric,click on

https://brainly.com/question/19241268

#SPJ8

The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

For more such questions on probability

https://brainly.com/question/24756209

#SPJ8

Answer:

1.

Step-by-step explanation:

Plug -2 in for x for both functions.

\(2(-2)^{2} + 4 = 12\\-4(-2) + 3 = 11\\\)

Now, subtract the two functions (f-g) (aka (f(x) - g(x))

12 - 11 = 1

The answer is 1.

Number of shoppers per hour (during business hours) = 84

Time spent by each shopper (average) = 5 minutes.

→ 60 mins (1 hour) = 84 shoppers

→ 60 = 84

→ 84/60

→ 1.4

→ 1.4 × 5 = 7

→ 7 shoppers on an average, are waiting in the checkout line to purchase at the "Good Deals store"

The number of shoppers, on average waiting in the checkout line to make a purchase at the Good Deals Store is 7 shoppers.

The given parameters:

The average number of shoppers per minute at the Good deals store is calculated as follows;

\(n = \frac{84 \ }{hr} \times \frac{1 \ hr}{60 \min} \\\\n = 1.4 \ shoppers/ \min\)

The number of shoppers, on average waiting in the checkout line to make a purchase at the Good Deals Store is calculated as follows;

\(number \ of \ shoppers = 1.4 \ \frac{shoppers}{\min} \ \times \ 5 \min\\\\number \ of \ shoppers = 7 \ shoppers\)

Learn more about rates here: https://brainly.com/question/25537936

The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

For similar question on angles.

https://brainly.com/question/25770607  

#SPJ8

Answer:

  49

Step-by-step explanation:

The greatest common divisor of the addends must also be a divisor of 2009. That number can be factored as ...

  2009 = 1×2009 = 7×287 = 41×49

The largest possible factor such that the other factor can be a sum of 9 positive integers is 49.

The maximum value of the GCD is 49.

An unbiased statistic is one in which the average value of the statistic is equal to the population parameter. Hence, option d is the correct answer.

When a statistic does not overestimate or underestimate a population parameter, it is considered to be an unbiased estimator. To put it another way, a value is considered unbiased if it accurately represents the value of a certain parameter. There are various factors that can affect how biassed a statistic from a specific sample is. The possibility of bias can rise depending on the sample methods utilised.

According to the definition of the unbiased estimator we know that an unbiased statistic is one in which the average value of the statistic is equal to the population parameter.

Hence, option d is the correct answer.

Learn more about statistics here:

https://brainly.com/question/29093686

#SPJ1

Answer:

The ant rests at 1/3 of a block.

Step-by-step explanation:

I used my brain.

The corresponding element in the range of the function F when 7 is in the domain is 4.6.

The expression for the given function F following as:

F(x) = 6(x) - 19 / 5

The corresponding element in the range of the function F is the output of the function when 7 is input into the function.

To find this output, we can substitute 7 for X in the expression for the function F:

F(7) = 6(7) - 19 / 5

F(7) = 42 - 19 / 5

F(7) = 23 / 5

F(7) = 4.6

Thus, when 7 is in the domain, the equivalent element in the range of the function F is 4.6.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

\( ({x}^{2} + 8x + 16) \\ bring \: out \: the \: x \: and \: ivide \: the \: 8 \: by \: 2\)

Answer:

h = 8.5 inches

Step-by-step explanation:

Given that,

The volume of a rectangular prism = 1374.28 inches³

The prism is 9.4 inches wide and 17.2 inches long.

We need to find the height of the prism. We know that the formula for the volume of rectangular prism is given by :

V = lbh

Where

h is the height of the prism

So,

\(h=\dfrac{V}{lb}\\\\h=\dfrac{1374.28 }{9.4\times 17.2}\\\\h=8.5\ inches\)

So, the height of the prism is equal to 8.5 inches.

Answer:

Step-by-step explanation:

(t - 6)^2 = t^2 - 12t + 36

(t + 6)^2 = t^2 + 12t +36

(t - 6)^2 - (t + 6) = t^2 - 12t + 36 - (t^2 + 12t + 36)

(t - 6)^2 - (t + 6) = t^2 - 12t + 36 - t^2 - 12t - 36

(t - 6)^2 - (t + 6) = -24t    The other 4 terms cancel out.

-24t = 0   Divide by - 24

t = 0

There is one root.

The number of yards of ribbon she bought is 39 yards.

She  got prepaid debit card with $25 on it.

The price of the ribbon she wanted to buy is $0.18 per yard.

After the purchase, there was $17.98 left on the card.

The number of yards of ribbon she bought can be calculated as follows;

amount used to buy the ribbon = 25 - 17.98

amount used to buy the ribbon = $7.02

Hence,

$0.18  = 1 yard

$7.02 = ?

cross multiply

number of yards of ribbon bought = 7.02 / 0.18

Therefore,

number of yards of ribbon bought = 39 yards

learn more on yards here: https://brainly.com/question/25710461

#SPJ1

Answer:

65/100 that is the answer to this question

Answer:

Step-by-step explanation:

To write the ratio 2/3 to 7/6 as a fraction in lowest terms, we need to find the equivalent fraction with the lowest common terms. We can do this by multiplying both the numerator and denominator of each ratio by the same factor.

First, we can simplify the second ratio 7/6 by multiplying both the numerator and denominator by 2, giving us 14/12.

Then, we can rewrite the ratio as 2/3 : 14/12.

To find the equivalent fraction with the lowest common terms, we need to find the least common multiple (LCM) of the denominators 3 and 12. The LCM of 3 and 12 is 12.

Now, we can rewrite each ratio with the denominator of 12:

2/3 × 4/4 = 8/12

14/12 × 1/7 = 2/12

Therefore, the ratio 2/3 to 7/6 as a fraction in lowest terms is:

8/12 to 2/12 or simplifying further, 2/3 to 1/6.

Answer:

C

Step-by-step explanation:

(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4

27 - 2(25) - 3(27) + 81

27 - 50 - 81 + 81

27 - 50

-23

Answer:

24%

Step-by-step explanation:

6/25=0.24

0.25*100=24%

Using the exponential Decay relation, the value of the car after 6 years will be :$17657.740

Using the exponential decline relation :

Final value of car after 6 years :

Final value = 45200(1 - 0.145)^6

Final value = 45200(0.855)^6

Final value = 45200(0.390657969445640625)

Final value = 17657.740

Therefore, the final value of the car after six years is $17657.740

Learn more : https://brainly.com/question/18796573

The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.

The correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."

The standard error of the sample proportion can be calculated using the formula:

SE = √[p*(1-p) / n]

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:

SE = sqrt[0.37*(1-0.37) / 100] = 0.048

Learn more on standard error here;

https://brainly.com/question/1191244

#SPJ1

Answer:

-4/5 and 7/15

Step-by-step explanation:

the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15

---

hope it helps

To seat all 58 children in the hall for the concert, 10 rows are needed.

1. Determine the number of children per row: Since there are 6 seats in a row, each row can accommodate 6 children.

2. Divide the total number of children by the number of children per row: Divide 58 (the total number of children) by 6 (the number of children per row).

  58 ÷ 6 = 9 with a remainder of 4

  This means that 9 full rows can be formed, and there will be 4 children left after the last full row.

3. Check if there are any remaining children: Since there are 4 children remaining, they cannot form a complete row by themselves.

4. Calculate the number of rows needed: Add 1 to the number of full rows to account for the remaining children.

  9 full rows + 1 row for the remaining children = 10 rows in total.

Therefore, to seat all 58 children in the hall for the concert, 10 rows are needed.

For more such questions on rows, click on:

https://brainly.com/question/15063510

#SPJ8

\(\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\log(x)=2\hspace{5em}\log(y)=3\hspace{4em}\log(2)\approx 0.3\hspace{4em}\log(3)\approx 0.48 \\\\[-0.35em] ~\dotfill\\\\ \log\left(\sqrt[3]{x^4\cdot y^2} \right)\implies \log\left(\left( x^4\cdot y^2 \right)^{\frac{1}{3}} \right)\implies \cfrac{1}{3}\log(x^4 y^2) \\\\\\ \cfrac{1}{3}[\log(x^4)~~ + ~~\log(y^2)]\implies \cfrac{1}{3}[4\log(x)~~ + ~~2\log(y)]\implies \cfrac{1}{3}[4(2)~~ + ~~2(3)] \\\\\\ \cfrac{1}{3}[8~~ + ~~6]\implies {\Large \begin{array}{llll} \cfrac{14}{3} \end{array}}\)

Answer:

WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82

Step-by-step explanation:

This is a one sample t test :

The hypothesis :

H0 : μ = 0.82

H0 : μ > 0.82

Given the sample data:

0.8411 0.8191 0.8182 0.8125 0.8750

0.8580 0.8532 0.8483 0.8272 0.7983

0.8042 0.8730 0.8282 0.8359 0.8660

Sample size, n = 15

Sample mean = ΣX / n = 0.837

Sample standard deviation, s = 0.0246 (from calculator)

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (0.837 - 0.82) ÷ (0.0246/√(15))

T = 2.676

The critical value at α = 0.05

df = n - 1 ; 15 - 1 = 14

Tcritical(0.05, 14) = 1.761

Reject H0 if Test statistic > Tcritical

Since, 2.676 > 1.761 ; WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82

Answer:

D, because the word problem separates the minus nine with a comma.

a is incorrect because there is no cube root

b is incorrect because again, no cube root

c is incorrect because the minus nine should not be within the cube root

Four times the cube root of x, minus nine is \(4\sqrt[3]{x-9}\).So, our correct answer is 3. \(4\sqrt[3]{x-9}\) .Here are a few ways to write "Four times the cube root of x, minus nine":

4 * √(x) - 9

4√(x) - 9

\(4\sqrt[3]{x-9}\)

The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way

To know more about Cube:

https://brainly.com/question/28134860

#SPJ2