Write the equation of the line in fully simplified slope-intercept form.

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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The value fo x in the similar triangles is 24.5

Similar triangles are triangles that have the same shape but not necessarily the same size.

From the question, we have the following parameters that can be used in our computation:

The triangle

If two triangles are similar, then the ratio of any two corresponding side lengths is the same for both triangles, which is known as the "equivalent ratio"

From the triangle, we have

x : 20 = 27 : 22

Express as fraction

So, we have

x/20 = 27/22

This gives

x = 20 * 27/22

Evaluate

x = 24.5

Hence, the value of x is 24.5

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Answer:

first is -20 second is -30 and if you add those it is -50

Answer:

Predecessor: 9851

Successor: 9853

Step-by-step explanation:

The predecessor of a number is 1 less than it.

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

Answer:

which one of these is a valid for balance

Answer: 20°  &  70°

Step-by-step explanation:

We know complementary angles will add up to 90° and we also know we can divide the total by 9 parts because our ratio is 2 parts to every 7 parts.

To find each individual part size...

9x=90

x=10

so use our ratio...

2x10=20  for first angle

7x10=70 for second angle

Answer:

I believe its X=15Y+50

Step-by-step explanation:

Fot the two random samples of customers from Internet provider, a) The null and alternative hypothesis are \(H_0 : \mu_1 = \mu_2 \\ H_a : \mu_1< \mu_2\).

b) The appropriate test that we will use is Two sample t-test.

We have an independent random sample with sample size from provider A, n₁ = 8

Sample size for provider B, n₂ = 10

Sample mean for sample A, \(\bar X_1\) = 35.2 years

Standard deviations, s₁ = 8.2

Sample mean for sample B, \(\bar X_2 \) = 38.4 years

standard deviations, s₂ = 5.8

Level of significance, a = 10% = 0.10

a) Now, we have check the claim that the average age for customers is less for those using Internet provider A than for Internet provider B, is true or not. Consider the null and alternative hypothesis are defined as \(H_0 : \mu_1 = \mu_2 \\ H_a : \mu_1< \mu_2\).

b) As we have two samples with all details like mean, standard deviations, etc. So, to check the validity of null hypothesis we will use two sample t test. The test statistic value is written as

\(t = \frac{ \bar X_1 - \bar X_2 }{\sqrt{s_p²(\frac{1}{n_1}+\frac{1}{n_2}})}\), where Pooled standard deviations,\(s_p =\frac{( n_1 - 1)s_1² + (n_2 - 1)s_2²}{n_1 + n_2 - 2} \).

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Answer:

se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok

Step-by-step explanation:

espero ter ajudado.

Answer:

isosceles right

Step-by-step explanation:

It is an isosceles right angled triangle because according to the figure it's two sides are equal which means it is isosceles triangle and there is 90 degree symbol which denotes right angle.

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Answer:

it is a right angled triangle

Step-by-step explanation:

it has a hypothenuse,opposite and adjacent

Answer:

2 years! :)

Step-by-step explanation:

(a) h'(4) = 2

(b) h'(4) = -14

(c) h'(4) = -26/25

(d) h'(4) = 26/11  Value of function h(x)

To find h'(4), we need to differentiate the given functions with respect to x and then evaluate them at x = 4.

(a) h(x) = 2f(x) + 5g(x)

To find h'(x), we differentiate each term separately using the sum rule:

h'(x) = 2f'(x) + 5g'(x)

Substituting x = 4:

h'(4) = 2f'(4) + 5g'(4)

       = 2(-4) + 5(2)

       = -8 + 10

       = 2

Therefore, h'(4) = 2.

(b) h(x) = f(x)g(x)

To find h'(x), we use the product rule:

h'(x) = f'(x)g(x) + f(x)g'(x)

Substituting x = 4:

h'(4) = f'(4)g(4) + f(4)g'(4)

       = (-4)(5) + (3)(2)

       = -20 + 6

       = -14

Therefore, h'(4) = -14.

(c) h(x) = f(x)/g(x)

To find h'(x), we use the quotient rule:

h'(x) = (f'(x)g(x) - f(x)g'(x)) / (g(x))^2

Substituting x = 4:

h'(4) = (f'(4)g(4) - f(4)g'(4)) / (g(4))^2

       = (-4)(5) - (3)(2) / (5)^2

       = -20 - 6 / 25

       = -26 / 25

Therefore, h'(4) = -26/25.

(d) h(x) = g(x)/f(x) + g(x)

To find h'(x), we use the sum and quotient rules:

h'(x) = (g'(x)f(x) - g(x)f'(x)) / (f(x))^2 + g'(x)

Substituting x = 4:

h'(4) = (g'(4)f(4) - g(4)f'(4)) / (f(4))^2 + g'(4)

       = (2)(3) - (5)(-4) / (3)^2 + 2

       = 6 + 20 / 9 + 2

       = 26 / 11

Therefore, h'(4) = 26/11.

To summarize:

(a) h'(4) = 2

(b) h'(4) = -14

(c) h'(4) = -26/25

(d) h'(4) = 26/11

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Answer:

18 in.

Step-by-step explanation:

ycvjnyucfcgvjnjbhuftytghuhvgycyccvgv

Answer:

X=49°

Y=63.

Igigoggogo

Volume of refrigerator ---> cubic feet

Distance a person can run in 10 minutes ---> mile

The surface area of a tissue box ---> square inches

The perimeter of a baseball field ---> meters

The surface area of the moon ---> square kilometers

The volume of a large lake ---> cubic kilometers

The lenght of macaroni noodle ---> centimeter

The area of a bed sheet ----> square feet

Answer:

2.00

Step-by-step explanation:

Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution

The formula for Z score is Z = [X - mean ]./ (standard deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

We need at least 26 students to take the examination to ensure, with probability at least 0.94, that the class average will be within 2 of 60.

Let X be the test score of a student. We know that X is a random variable with mean μ = 60 and standard deviation σ = 8.

We want to find the sample size n required to ensure, with probability at least 0.94, that the sample mean (i.e., class average) is within 2 of 60. In other words, we want to find n such that:

P(|sample mean - μ| < 2) ≥ 0.94

The sample mean is a random variable as well, with mean μ and standard deviation σ/sqrt(n) (by the Central Limit Theorem).

Using the standard normal distribution, we can rewrite the above inequality as:

P(-2sqrt(n)/8 < Z < 2sqrt(n)/8) ≥ 0.94

where Z is the standard normal random variable. We can use a standard normal table or a calculator to find the corresponding values of -2sqrt(n)/8 and 2sqrt(n)/8.

We can simplify the inequality as follows:

P(Z < 2sqrt(n)/8) - P(Z < -2sqrt(n)/8) ≥ 0.94

Using a standard normal table or calculator, we find that P(Z < 2.11) ≈ 0.9838 and P(Z < -2.11) ≈ 0.0162. Therefore, we can rewrite the inequality as:

0.9838 - 0.0162 ≥ 0.94

Simplifying, we get:

0.9676 ≥ 0.94

This is true, so we have found the required value of n. To find n, we solve for sqrt(n):

2.11 = 2sqrt(n)/8

Multiplying both sides by 8 and squaring, we get:

n = (8*2.11/2)^2 = 25.67

Rounding up to the nearest integer, we get n = 26.

Therefore, we need at least 26 students to take the examination to ensure, with probability at least 0.94, that the class average will be within 2 of 60.

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The p-value is a statistical term that represents the probability of observing an outcome as extreme as or more extreme than the observed outcome, given that the null hypothesis is true. It is used to determine whether the null hypothesis should be rejected or accepted. If the p-value is less than the level of significance (alpha), the null hypothesis can be rejected, and the alternative hypothesis can be accepted.

Large p-values indicate that there is not enough evidence to reject the null hypothesis. A large p-value implies that the observed result is not significant, and the null hypothesis is supported.

The alpha level is a significance level that is set in advance of conducting a hypothesis test. It determines the level of evidence required to reject the null hypothesis. The alpha level is usually set at 0.05, meaning that the null hypothesis can be rejected if the p-value is less than 0.05.

A result is statistically significant if it is unlikely to have occurred by chance. In other words, if the p-value is less than or equal to the alpha level, the result is considered statistically significant, and the null hypothesis can be rejected.

A 95% confidence interval corresponds to a two-sided hypothesis test at an alpha level of 0.05. This means that the null hypothesis can be rejected if the observed outcome falls outside the confidence interval with a probability of 0.05 or less.

A 90% confidence interval corresponds to a one-sided hypothesis test at an alpha level of 0.1. This means that the null hypothesis can be rejected if the observed outcome falls outside the confidence interval with a probability of 0.1 or less.

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Answer:

false cause if they both were added it would be 2/9ths

Step-by-step explanation:

answer:

JUST READ EXPLANATION!!!

Step-by-step explanation:

well, 1/3 divided by 3 =1/9

Answer:

see below (I hope this helps!)

Step-by-step explanation:

We can split this into 2 cases:

3x + 2 > 9 or -(3x + 2) > 9

3x > 7 or 3x + 2 < -9

x > 7/3 or x < -11/3

A large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC because it allows for a better approximation of a normal distribution according to the Central Limit Theorem, reduces the margin of error, and minimizes the impact of outliers in a highly skewed right distribution.

To understand why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC, especially when the histogram of blood alcohol concentrations is highly skewed right.

A histogram of blood alcohol concentrations (BACs) in fatal accidents that is highly skewed right indicates that most of the data points are concentrated on the lower end of the scale, with fewer data points extending to the higher BAC levels. When constructing a confidence interval for the mean BAC of fatal crashes with a positive BAC, a large sample size is necessary for the following reasons:

1. Central Limit Theorem: The Central Limit Theorem (CLT) states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. A larger sample size allows for a better approximation of a normal distribution, which is essential for constructing an accurate confidence interval.

2. Decreased Margin of Error: A larger sample size reduces the margin of error in the confidence interval, leading to a more precise estimate of the true population mean. As sample size increases, the standard error of the sample mean decreases, which narrows the confidence interval.

3. Minimizing the Impact of Outliers: In a highly skewed right distribution, there may be extreme values (outliers) on the higher end of the BAC scale. A larger sample size helps to minimize the impact of these outliers on the mean and the confidence interval, leading to a more accurate representation of the true population mean.

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The derivative is f'(x) = 5.

The limit definition of the derivative tells us that the derivative of a function is f is

f' (x) = \(\lim_{h \to \0} 0\) \(\frac{f(x+h)-f(x)}{h}\)

For this, f(x) = 5x and f(x + h) = 5(x + h)

So:

f'(x) = \(\lim_{h \to \}0\) \(\frac{5(x+h)-5x}{h}\)

        = \(\lim_{h \to \}0\) \(\frac{5x+5h-5x}{h}\)

       = \(\lim_{h \to \}0\) \(\frac{5h}{h}\)

       = \(\lim_{h \to \}0\) 5

       = 5

So, when f(x) = 5x , we see that its derivative is f'(x) = 5.

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23.5 days must elapse for a sample of 239np to decay to 0.100% of its original quantity.

Given is the equation for radioactive decay.

N equals N0exp(-λt). We have to determine the λ decay constant.

λ= -(lnN/N0)/t where t = Neptunium-239's half-life, 2.35 days,

and N/N0 = 1/2 where N = Amount of Neptunium-239 after half-life,

and N0 = Amount of Neptunium-239 at the beginning.

Consequently,

λ = (-ln(1/2))/2.35 = 0.294/day.

Neptunium-239 will now degrade to 0.100% of its original value.

N/N₀ × 100 % = 0.100%

N/N₀ = 0.100/100

N/N₀ = 0.001

We calculate the time it takes for Neptunium-239 to decay to this value using the equation for radioactive decay. Making t the formula's subject,

-(lnN/N0)/ = -(ln(0.001))/0.294/day.=  23.5 days

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Answer:

See below.

Step-by-step explanation:

We have the expression:

\(\sqrt{8c+4}\)

And we want to determine the domain restrictions of the expression.

Remember that the radicand (expression under the square root) must always be positive or 0. This is because we can't take the square root of a negative (and the square root of 0 is just 0). So, to find the domain restrictions, we can write and solve for the following inequality:

\(8c+4\geq0\)

This is saying (8c+4) must be greater than or equal to 0. In other words, it's positive or 0.

So, solve for c. Subtract 4 from both sides:

\(8c\geq-4\)

Now, divide both sides by 8. This yields:

\(c\geq4/8\\c\geq -1/2\)

So, our c must be greater than or equal to -1/2. If it is less than -1/2, we won't have a solution.

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

Easy way is to plot the points and confirm visually.

We can see opposite sides are parallel and congruent.

This confirms the quadrilateral is a parallelogram.