Four students share 7 sandwiches equally. How much of a sandwich does each student get

Answer:

8 and 5

Step-by-step explanation:

I was messing around with the numbers in my head

From the expression, the limit as h approaches 0 of (√8(a+h) - √8a)/h is equal to 4/√8a.

To evaluate the limit, we can simplify the expression by rationalizing the numerator. Let's start by multiplying the expression by the conjugate of the numerator, which is (√8(a+h) + √8a):

[√8(a+h) - √8a]/h * [(√8(a+h) + √8a)/(√8(a+h) + √8a)]

Expanding the numerator using the difference of squares, we have:

[8(a+h) - 8a]/(h * (√8(a+h) + √8a))

Simplifying further, we get:

[8a + 8h - 8a]/(h * (√8(a+h) + √8a))

= 8h/(h * (√8(a+h) + √8a))

= 8/(√8(a+h) + √8a)

Now, we can evaluate the limit as h approaches 0. As h approaches 0, the term (a+h) approaches a. Therefore, we have:

lim h→0 8/(√8(a+h) + √8a)

= 8/(√8a + √8a)

= 8/(2√8a)

= 4/√8a

Hence, the limit as h approaches 0 of (√8(a+h) - √8a)/h is equal to 4/√8a.

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Since each trait is inherited independently, we can multiply the probabilities together. The probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

The probability of obtaining A/a; B/b; C/c; D/d offspring can be calculated by multiplying the probabilities of each individual trait. Since each trait is inherited independently, we can multiply the probabilities together.

The probability of obtaining A/a offspring is 1/2 (A is dominant and a is recessive).

The probability of obtaining B/b offspring is 1/2 (B is dominant and b is recessive).

The probability of obtaining C/c offspring is 1/2 (C is dominant and c is recessive).

The probability of obtaining D/d offspring is 1/2 (D is dominant and d is recessive).

Therefore, the probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

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The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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I'm sorry, but I cannot provide an answer without more information about the value of "C3". Can you please provide that information?
To evaluate the given expression 34^C3, we need to find the number of combinations of choosing 3 items from a set of 34 items. This can be calculated using the formula:

C(n, r) = n! / (r!(n-r)!)

Here, n = 34 and r = 3. Plugging the values into the formula, we get:

34^C3 = C(34, 3) = 34! / (3!(34-3)!)

= 34! / (3! * 31!)

= (34 * 33 * 32) / (3 * 2 * 1)

= 5984

So, 34^C3 = 5984.

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Answer:

30 miles

Step-by-step explanation:

you need to devide 180 by 6

Answer:

The number of possible numeric value for SAT are 8 possible numeric values

Step-by-step explanation:

A cryptarithm is a form of mathematical game where unknown numbers represented by letters of the alphabet are used to form mathematical equations

The given cryptarithm is SAT + SUN = 700

The parameters are;

The digits represented by the letters are different

Non of the digits represented by the letters equals 7 or 0

We have;

T + N = 10

1 + A + U = 10

1 + S + S = 7

Therefore, S = (7 - 1)/2 = 3

S = 3

A + U = 10 - 1 = 9

A + U = 9

Therefore, A = 4 or 5 (2 choices)

From T + N = 10

T = 1, 2, 8, or 9 (4 choices) similarly, N = 1, 2, 8, or 9 (4 choices)

Therefore, the number of numeric values that SAT represent is given as follows;

(S = 1 choice) × (A = 2 choices) × (T = 4 choices) = 1 × 2 × 4 = 8 numeric values

SAT has 8 possible numeric value

Answer:

342

Step-by-step explanation:

fvsvgdbhfnjmk,hlhgfdsdssddsdssd

Answer:

%20

Step-by-step explanation:

We can see Carlos’s real, after-tax ROI is A) 21.2%.

This is because he will have to pay taxes on his net profit, which will reduce his overall return on investment.

Tax is a financial charge or levy imposed by a government on individuals, businesses, or other entities to fund public expenditure and support various governmental functions.

It is a mandatory payment required by law and collected by government authorities at different levels, such as national, state, or local governments.

ROI = (Net Profit / Investment) x 100

In this case, Carlos's net profit is $10,000 and his investment is $50,000.

However, he will have to pay taxes on his net profit, which will reduce his overall return on investment.

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Answer: 3 pounds

Step-by-step explanation: 1 pound=16 ounces

Now that you know what the conversion from ounces to pounds is, you just have to divide the number of ounces in the problem (48) by 16.

48÷16=3

The mean and standard deviation are 50.292 and 10.362 respectively.

The mean is the average of all available data value. And standard deviation is the measure of how far each data value apart from the mean value.

We are given, 7% of item are under 35 and 89% of item are under 63.

Let, M refers to mean, and SD refers to standard deviation.

As per given data, P(x<35) = 35%

P(z<Z1) = 0.07

hence, Z-score= Z1 = -1.4758 [obtained from Z table]

we know that the z-score = (observed value - mean)/ standard deviation

                      Z1 = (x - M)/ SD

       - 1.4758 = (35 - M)/ SD

-1.4758SD = 35 -M ......... equation 1

as per the 2nd condition in the given data

89% of items are under 63

so, X= 63, P(X<63)

hence, the z-score = 1.2265 [ obtained from Z table]

Z2= 1.2265= (X- mean)/ SD

1.2265SD = 63 - M.......equation 2

Solving equation 1 and 2, we get standard deviation = 10.362

                                   Mean value = 50.292

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6. True_____________ marked price is the price printed on an item.

7. True_____________ percentage profit and loss is calculated as a percentage of the cost price.

8. False_____________ 30% as a decimal is 0.03.

9. True_____________ sales tax is also known as VAT.

10. False____________ the hire purchase price is also known as the down payment.

Answer:

817 10^-3

Step-by-step explanation:

58/71

0.817

817 10^-3

Answer:

0.82

Step-by-step explanation:

The question asks to change 58/71 to a decimal, then round it off to the nearest hundredst.

To change it to a decimal, divide the denominator(71) by the numerator(58)

71/58=0.81690

Then, round off to the nearest hundrest place would be to a number in which the numbers after a decimal would form a fraction with the denominator being 100 that number would be 0.81(ignore every digit after the third number after the decimal place)

if you left the answer like this, it would be wrong. You have to consider the number after the 'rounded off decimal' which is 6. If the number is 5 or higher, add 1 to the previous number.

6 is higher than 5, so we round it off as 1

hence= 0.816 ... 0.8(+1)

Hope this  helps

Answer:

x=3

Step-by-step explanation:

5(x^2 - 9) - 5 = -5

5x^2 - 45 = 0

5x^2 = 45

x^2 = 9

x = 3

Answer:

3

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

Charlie 77 35 83 95

Step-by-step explanation:

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer:

6,726

Step-by-step explanation:

Go backwards.

5,237 + 1,489 = 6,726

Just add and you'll get the answer. Brainliest Please!!

- Hermionia

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Answer:

E. 14

Step-by-step explanation:

The shape is clearly a rectangle, from the units given

Perimeter= distance round a shape

Perimeter= 5+5+2+2=14

See attachment for math work and answer.

The test statistic for the hypothesis test with the given hypotheses is z = 4.2627.

In the given hypothesis test, the null hypothesis (H0) states that the coefficient β1 associated with the independent variable is equal to 0, while the alternative hypothesis (Ha) states that β1 is not equal to 0.

To calculate the test statistic, we can use the formula:

z = (β1 - β1_hypothesized) / (standard error of β1)

In this case, since the null hypothesis states that β1 = 0, the hypothesized value of β1 (β1_hypothesized) is 0. The standard error of β1 is denoted by s, which is given as 43.2.

Plugging in the values, we get:

z = (β1 - 0) / 43.2

Given that z = 4.2627, we can solve for β1:

4.2627 = β1 / 43.2

β1 = 4.2627 * 43.2

β1 ≈ 184.294

The test statistic for the hypothesis test with the given hypotheses is z = 4.2627. This indicates that the coefficient β1 is approximately 4.2627 standard errors away from the hypothesized value of 0. Since the calculated test statistic is large, it suggests strong evidence against the null hypothesis. Therefore, we can reject the null hypothesis and conclude that there is a statistically significant relationship between the independent variable and the dependent variable.

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The sum of the first 10 terms of the arithmetic sequence is given as follows:

-40.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The sum for the first n terms of an arithmetic sequence is given by the equation presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

In which:

The parameters for this problem are given as follows:

\(n = 10, a_1 = 5, a_n = -13\)

Hence the sum is given as follows:

S = 5 x (5 - 13)

S = -40.

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To include the kind of cat food as dummy variables in addition to the constant, we can create two binary variables. Let's say the three kinds of cat food are labeled as Food A, Food B, and Food C.

We can create two dummy variables, "Food B" and "Food C," while "Food A" will be the reference category.

The first dummy variable, "Food B," will take the value of 1 if the cat is fed with Food B and 0 otherwise. The second dummy variable, "Food C," will take the value of 1 if the cat is fed with Food C and 0 otherwise.

For example, let's assume we have the following data for three cats:

Cat 1: Food A, 40 active minutes

Cat 2: Food B, 55 active minutes

Cat 3: Food C, 60 active minutes

We can represent this data using dummy variables as follows:

Cat 1: Food A (Reference Category), Food B = 0, Food C = 0

Cat 2: Food B = 1, Food C = 0

Cat 3: Food B = 0, Food C = 1

By including the two dummy variables "Food B" and "Food C" along with the constant, we can account for the influence of different types of cat food on the number of active minutes. This scheme allows us to compare the effects of Food B and Food C to the reference category, Food A. By including these dummy variables in a regression model, we can estimate the impact of different cat food types on the number of active minutes accurately.

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Answer: 5/6 chance

Step-by-step explanation:

well on a six sided die there are the numbers : 1 , 2 , 3 , 4 , 5 , 6 obviously and we know that the total number of possible outcomes when you roll it would be six

rolling a 4 is only one option out of six so we subtract one from six

6 - 1 = 5

so theres a 5/6 chance you will not roll a 4

hope this helped :))

Answer:

5/6 or .83 or 83%

Step-by-step explanation:

there are five other numbers.

We have 390 and we want to find the number thart multiplied by it, will result in 390,000

If we count how many zeros of diffrence between 390 and 390,000 we have, we will notice that:

Therefore, the solution should be 1,000 because:

390 * 1,000 = 390,000

This is the solution we are looking for. Correct answer is B.

Hooke's law relates the force applied on an elastic material to its extension. Therefore, the answers to the questions are:

a. F = ks

b. The spring stretched 0.035 m (3.5 cm) when a weight of 14 N is included.

Hooke's law states that provided the extension limit of an elastic material is not exceeded, the force applied is directly proportional to its extension.

i.e F = ke

where F is the force applied to the material, k is the spring constant of the material, and e is the extension.

Considering the conditions in the given question then, we have:

a. The equation that relates F and S for the spring on the jumper is:

F = ks

b. Given that: F = 8 N, while s = 2 cm (0.02 m).

Then;

F = ks

8 = k(0.02)

k = \(\frac{8.0}{0.02}\)

  = 400

k = 400 N/m

So that, the stretch in the spring when 14 N weight is included is:

F = ks

14 = 400 x s

s = \(\frac{14}{400}\)

  = 0.035

s = 0.035 m

Thus the spring was stretched by 0.035 m (3.5 cm) when a weight of 14 N was included.

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