Alex wants to make an open top box from a flat rectangular piece of cardboard measuring 6 inches by 10 inches. To do this Alex will cut identical
squares out of the corners of the cardboard and then fold up the sides. Alex wants to use this box to store some of his card collection. He calculated
that he will need the area of the base of the box to be 34 square inches to fit all the cards he has in mind. What is the length of the sides of the squares
Alex needs to cut out of his original cardboard to get the size of box he wants?
• Write your answer as a number only.
• Round your answer to 2 decimal places if necessary.
Your Answer

Answer:

42.4 is the correct answer to this question

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Here, since we want our ratio in simplest form,

I would use a fraction bar.

Now, the problem asks us to compare

the number of boys to the number of girls.

We know that there are 12 boys

and we know that there are 15 girls.

So our ratio is 12/15.

However, this can be reduced to 4/5.

Using the angle addition postulate, the angle measures are:

\(m\angle RSQ = 28^{\circ}\\\\m\angle QST= 33^{\circ}\)

(See the image attached below showing the angles given.)

Recall:

The angle addition postulate states that two smaller angles within a bigger angle will add up to give the sum of the larger one.

Given:

\(m \angle RST = 3x + 7\\\\m \angle QST = 5x - 2\\\\m \angle RST = 61\)

\(m\angle RSQ + m\angle QST = m\angle RST\) (angle addition postulate)

\(3x + 7 + 5x - 2 = 61\)

\(8x + 5 = 61\\\)

\(8x + 5 = 61\\\\8x = 61 - 5\\\\8x = 56\)

\(x = 7\)

\(m\angle RSQ = 3x + 7\)

\(m\angle RSQ = 3(7) + 7\\\\m\angle RSQ = 28^{\circ}\)

\(m\angle QST= 5x - 2\)

\(m\angle QST= 5(7) - 2\\\\m\angle QST= 33^{\circ}\)

Therefore, using the angle addition postulate, the angle measures are:

\(m\angle RSQ = 28^{\circ}\\\\m\angle QST= 33^{\circ}\)

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Answer:246.475

Step-by-step explanation:

79+167+19/40

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Answer:

AB = 38

BC = 4

Step-by-step explanation:

It kinda depends if the image is to scale or not

The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.

To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:

1. Bank Statement Balance:

Cash on deposit at July 31: Br.4,964.47

2. Adjusted Bank Balance:

Bank Statement Balance: Br.4,964.47

3. Deposit not on the statement: + Br.410.90

(Adjusted Bank Balance: Br.5,375.37)

Erroneously charged check: + Br.79

(Adjusted Bank Balance: Br.5,454.37)

Outstanding checks:

Check 801: - Br.100.00

Check 888: - Br.10.25

Check 890: - Br.294.50

Check 891: - Br.205.00

(Adjusted Bank Balance: Br.4,844.62)

4. Incorrectly charged check: + Br.90

(Adjusted Bank Balance: Br.4,934.62)

5. Collection of interest-bearing note: + Br.500

(Adjusted Bank Balance: Br.5,434.62)

6. Interest earned: + Br.24.75

(Adjusted Bank Balance: Br.5,459.37)

7. Incorrectly recorded check: - Br.90

(Adjusted Bank Balance: Br.5,369.37)

8. Collection fee: - Br.5.00

(Adjusted Bank Balance: Br.5,364.37)

9. NSF check: - Br.50.25

(Adjusted Bank Balance: Br.5,314.12)

10. Service charge: - Br.12.70

(Adjusted Bank Balance: Br.5,301.42)

Adjusted Ledger Balance:

Bank Balance in ABC's Ledger: Br.4,173.83

Reconciled Bank Balance: Br.5,301.42

Reconciled Ledger Balance: Br.4,173.83

Journal Entry:

To record the bank reconciliation, we make the following journal entry:

Debit: Cash (Ledger Balance adjustment) - Br.5,301.42

Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47

Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)

This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.

The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.

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Answer:

And............ What?

The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Answer:

y-intercept is the weight of the animal at birth (when x = 0)

Step-by-step explanation:

\(y=3.86x+15\)

The slope (gradient) of the function is 3.86

The y-intercept of the function is 15

Therefore, the y-intercept is the weight of the animal at birth (when x = 0)

Answer:The animal weighs 15 pounds at birth.

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

8+7=15

so

-8-7 = -15

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

In this question:

\(\mu = 2.40\)

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177\)

21.77% probability that the antenna will be struck exactly once during this time period.

Answer:

Sig figs, if unspecified are always the number with the least number of sig figs. 532.1 has 4 sig figs and 15 has 2 sig figs, so your answer will have 2 sig figs.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 2x-8

2x = y+8

x = 0.5y+4

inverse function: y = 0.5x+4

The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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Answer:

i belive the answer is B

Step-by-step explanation:

Answer: A

Step-by-step explanation:

84 divided by 12 is 7

Answer:

\( \displaystyle x = 2 \sqrt{3} \)

Step-by-step explanation:

we would like to solve the following equation:

\( \displaystyle \sqrt{3} = \frac{6}{x} \)

in order to do so do cross multiplication:

\( \displaystyle x \sqrt{3} = 6\)

divide both sides by √3:

\( \displaystyle x = \frac{6}{ \sqrt{3}} \)

since we ended up with a square root on the denominator so we can consider rationalising the denominator to do so multiply both numerator and denominator by √3 which yields:

\( \displaystyle x = \frac{6}{ \sqrt{3}} \times \frac{ \sqrt{3} }{ \sqrt{ 3} } \)

simplify multiplication:

\( \displaystyle x = \frac{6 \sqrt{3} }{ 3} \)

reduce fraction:

\( \displaystyle x = 2 \sqrt{3} \)

and we are done!

Answer:

Number 16 is D & 15 is D

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

a. The hypothesis to be tested are given as follows:

b. The p-value is of: 0.0047.

c. The decision is of: Reject the null hypothesis.

d. The conclusion is of: There is enough evidence to conclude that the mean rate is less for people who exercise regularly.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the heart rate is less, than is, if the difference is not negative, hence:

\(H_0: \mu_d \leq 0\)

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the heart rate is less, that is, if the difference is negative, hence:

\(H_1: \mu_d > 0\)

The parameters to the p-value are given as follows:

We have a left-tailed test, as we are testing if the mean is less than a value, hence, using a t-distribution calculator, the p-value is of:

0.0047.

Since the p-value is less than the critical value, the decision and the conclusion are given as follows:

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Answer:

They paid her $23 at most

Step-by-step explanation: 4+12+7=23

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer:

First, write the  

✔ formula: d = rt

.

Next, use parentheses when you substitute  

✔ 125

in for r and  

✔ 3.2

in for t.

Now, simplify by  

✔ multiplying

125 and 3.2.

Jeff raced for a distance of  

✔ 400

miles.

Step-by-step explanation:

got it right on edge 2021

Answer:

It's Formula: D = rt, 125, 3.2, Multiplying, And 400

Step-by-step explanation:

I Got It Correct On Edge, Hope I Helped :)

Using the power rule, the derivatives are given as follows:

a) \(f^{\prime}(2) = -\frac{1}{4}\).

b) \(f^{\prime}(3) = 30\).

Suppose we have a power function given by:

\(f(x) = x^n\)

The derivative of the function is given by:

\(f^{\prime}(x) = n \times x^{n-1}\)

Item a:

The function is:

\(f(x) = \frac{1}{x} = x^{-1}\)

Then the derivative is:

\(f^{\prime}(x) = -x^{-2} = -\frac{1}{x^2}\)

When x = 2, the derivative is:

\(f^{\prime}(2) = -\frac{1}{4}\)

Item b:

The function is:

\(f(x) = 5x^2\)

Then the derivative is:

\(f^{\prime}(x) = 10x\)

When x = 3, the derivative is:

\(f^{\prime}(3) = 30\)

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