james has 375 pennies. he spends 3/5 of them and gives 1/3 of the remainder to his sister. how many pennies does he have left?
​

Answer:

0.56

Step-by-step explanation:

im not really sure on this one but i know u have to divide  ..

Answer:

The score is 3 standard deviations from the mean

Step-by-step explanation:

To find this, we simply calculate the z-score

Mathematically;

z-score = (x-mean)/SD

In this question , x = 80

mean = 65

SD = 5

Thus;

z-score = (80-65)/5 = 15/5 = 3

Answer:

The p-value of the test is 0.4414, higher than the standard significance level of 0.05, which means that there is not a a significant difference in the proportion of apartment dwellers and home owners who own artificial Christmas trees.

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Apartment:

38 out of 78, so:

\(p_A = \frac{38}{78} = 0.4872\)

\(s_A = \sqrt{\frac{0.4872*0.5128}{78}} = 0.0566\)

Home:

46 out of 84, so:

\(p_H = \frac{46}{84} = 0.5476\)

\(s_H = \sqrt{\frac{0.5476*0.4524}{84}} = 0.0543\)

Test if the there a significant difference in the proportion of apartment dwellers and home owners who own artificial Christmas trees:

At the null hypothesis, we test if there is no difference, that is, the subtraction of the proportions is equal to 0, so:

\(H_0: p_A - p_H = 0\)

At the alternative hypothesis, we test if there is a difference, that is, the subtraction of the proportions is different of 0, so:

\(H_1: p_A - p_H \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the samples:

\(X = p_A - p_H = 0.4872 - 0.5476 = -0.0604\)

\(s = \sqrt{s_A^2 + s_H^2} = \sqrt{0.0566^2 + 0.0543^2} = 0.0784\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-0.0604 - 0}{0.0784}\)

\(z = -0.77\)

P-value of the test and decision:

The p-value of the test is the probability of the difference being of at least 0.0604, to either side, plus or minus, which is P(|z| > 0.77), given by 2 multiplied by the p-value of z = -0.77.

Looking at the z-table, z = -0.77 has a p-value of 0.2207.

2*0.2207 = 0.4414

The p-value of the test is 0.4414, higher than the standard significance level of 0.05, which means that there is not a a significant difference in the proportion of apartment dwellers and home owners who own artificial Christmas trees.

The simplified sum is 191/30.In mixed number form, this is 6 and 11/30.3 2/3 + 2 7/10 equals 6 and 11/30.

To add the mixed numbers 3 2/3 and 2 7/10, we can follow these steps:First, convert both mixed numbers into improper fractions.

3 2/3 = (3 * 3 + 2)/3 = 11/3

2 7/10 = (2 * 10 + 7)/10 = 27/10

Now, we have 11/3 + 27/10.

To find a common denominator, we multiply the denominators: 3 * 10 = 30.Rewriting the fractions with the common denominator, we have 110/30 + 81/30.

Adding the numerators, we get 110 + 81 = 191.

The sum is 191/30.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.

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Answer:

\(\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }\)

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

\(\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

\(7+3i-3+9i=\boxed{4+12i}\)

Answer:

  1) 120 units

  2) see attachment

Step-by-step explanation:

Given a figure composed of 21 squares that each have an area of 25 square units, you want to know (1) the perimeter of the figure, and (2) how to rearrange it to have the same perimeter, but with sides that line up.

The perimeter is the sum of the lengths of the sides that form the boundary of the figure. The boundary consists of ...

for a total of 6·4 = 24 edges of the squares shown.

Each of the squares shown has an area of A = s² = 25 units², so a side length of s = √(25 units²) = 5 units.

The perimeter is the length of 24 of these edges, so is ...

  perimeter = 24 × 5 units = 120 units

The 21 squares shown in the figure can only be rearranged into rectangles that are 21 × 1 squares or 7 × 3 squares. These will have perimeters of 44 or 20 edges, respectively. Hence, it is not possible to have "sides of the squares line up" in a rectangle with the same perimeter.

The attached figure is the next best thing. It shows a 6 × 4 rectangle with three squares removed (to keep the total at 21). The number of horizontal and vertical edges total 24, as required to keep the same perimeter.

Answer:

Standard form for straight line

y = m x + b

If x = 0 then y = b = 3

y = m x + 3

Since m is the slope the requested equation is y = x + 3

The diagonal of the rectangular box will be 9.7 inches.

Given that:

Length, L = 3 inches

Width, W = 2 inches

Height, H = 9 inches

The diagonal of the rectangular prism is given as,

d² = L² + W² + H²

The diagonal of the rectangular box will be calculated as,

d² = 3² + 2² + 9²

d² = 9 + 4 + 81

d² = 94

d = √94

d = 9.7 inches

The diagonal of the rectangular box will be 9.7 inches.

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

thanks.

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The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer: B

Step-by-step explanation:

from edge

Answer:

B

Step-by-step explanation:

Edge 2022

After 50 years, she gets the amount $5000 in her bank account.

According to the statement

we have given that the Lina placed $1000 in a bank account with an annual compound interest rate of 8%.

And we have to find that the How long will it take until she has $5000 in the account.

So, For this purpose, we know that the

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

The principal amount = 1000

And 8% of P.A. = 8/100*1000

8% of P.A. = 80.

So, According to this after 1 year the amount become

1080.

it means the equation become after t years.

Amount(t) = 1000 + 80t

And the amount is 5000 which is given then

5000 = 1000 + 80t

4000 = 80t

t = 50.

So, After 50 years, she gets the amount $5000 in her bank account.

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Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

Answer:

7+c or 6

Step-by-step explanation:

Answer:

-89+c

Step-by-step explanation:

I'm assuming

"(7-6)(-1)

-7 +0

-7-

7-6

7+ c"

Is the whole equation.

(7-6)(-1) -7+0 -7- 7-6 7+c=

(1)(-1)-7+0-7-7-67+c=

-1-7+0-7-7-67+c=

-8+0-7-7-67+c=

-8-7-7-67+c=

-15-7-67+c=

-22-67+c=

-89+c

Answer:

rajjsjdjdjxkkdkdkdkkdjxjjdjxjckfkjdjfuidid

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

8.33cm

Step-by-step explanation:

1m=100cm

Since the wire is to be cut into twelve pieces

100/12=8.33

8.33cm

if we are asked to leave in metre divide answer by 100

Using linear functions, it is found that:

A. The costs will be the same when 250 shirts are bought.

B. The Tees-4-U Company would charge them less.

C. They are saving $350 by going with the more economical company.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the cost functions in the context of this problem, we have that:

Hence the functions for the cost of buying x shirts are given as follows:

The costs will be the same when:

C(x) = T(x)

Hence:

6.5x = 250 + 5.5x

x = 250

For item b, the costs are given as follows:

The amount saved in item c is:

3900 - 3550 = 350.

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Answer:5SQRT61/

61

Step-by-step explanation:

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

\( y = \frac{1}{2}x + \frac{1}{4} \)

Step-by-step explanation:

Equation in slope-intercept form is given as \( y = mx + b \)

An equation parallel to \( y = \frac{1}{2}x + \frac{5}{2} \) would have the same slope as the equation.

The slope (m) of the line would be ½.

m = ½.

Given that this same line runs through or contains (³/2, 1), we cam find the value of b (y-intercept) by substituting m = ½, x = ³/2, and y = 1 in \( y = mx + b \).

Thus:

\( 1 = (\frac{1}{2})(\frac{3}{2}) + b \)

\( 1 = \frac{3}{4} + b \)

Subtract both sides by ¾

\( 1 - \frac{3}{4} = b \)

\( \frac{1}{4} = b \)

To derive the equation, substitute m = ½, and b = ¼ in \( y = mx + b \).

✔️The equation is:

\( y = \frac{1}{2}x + \frac{1}{4} \)

Answer:  first choice is correct

Step-by-step explanation:

\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)

22/9 = 2.44

Therefore Point A is 22/9, Point B is \(\sqrt{10}\),  Point C is \(\sqrt{13}\)