PLEASE HELP IT'S DUE NOW!!! Rob deposited 22% of his paycheck into his savings account. If he deposited $21.67, what was the amount of his paycheck?

Please include all of the work as well as the answer!!! Thank you so much!!

The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.

The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:

X² = ∑(observed - expected)² / expected

The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.

To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.

Category 1: expected frequency = 49, observed frequency = 12

Category 2: expected frequency = 49, observed frequency = 22

Category 3: expected frequency = 49, observed frequency = 65

Category 4: expected frequency = 49, observed frequency = 97

Using the formula above, we can calculate the test statistic:

X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]

X² = 37.96

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Complete Question:

An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.

If Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.

Given that Amanda won 62 pieces of gum and division has been done in such a way that 2 pieces to each friend are given and only 8 has remaining.

We are required to find the number of friends that Amanda have.

If 8 pieces of gums are left then the number of pieces distributed will be 62-8=54 pieces of gums.

Since 2 pieces are given to 1 friend so the number of friends will be=54/2=27 friends.

Hence if Amanda distributed 62 pieces of gum among her friends by giving 2 to each friend and she has remaining 8 then we can say that she have 27 friends.

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

For the humming bird X = 130m

For the monkey r= 2

For the trapezoid X = 110m

For the whale r = 7/2

To calculate the scale factor of a given shape or model, the formula that should be used would be;

Scale factor = dimensions of bigger model/smaller model

For hummingbird:

X = 585/4.5

= 130m

For monkey ;

r= 440/220

= 2

For the trapezoid;

X= 165×2/3

= 330/3

= 110m

For the whale;

r= 420/120

= 7/2

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Answer:

$51

Step-by-step explanation:

$85 x 0.60

Answer:

Jojo makes 1000 and Trish makes 250

Step-by-step explanation:

I hope this helped

Answer:

Trish makes $125 more than Jojo after 10 hours

Step-by-step explanation:

$125 jojo

$250 Trish

Answer:

{x,y} = {1,1}

Step-by-step explanation:

// Solve equation [2] for the variable  x

 [2]    3x = 4y - 1

 [2]    x = 4y/3 - 1/3

// Plug this in for variable  x  in equation [1]

  [1]    3•(4y/3-1/3) + 4y = 7

  [1]    8y = 8

// Solve equation [1] for the variable  y

  [1]    8y = 8

  [1]    y = 1

// By now we know this much :

   x = 4y/3-1/3

   y = 1

// Use the  y  value to solve for  x

   x = (4/3)(1)-1/3 = 1

Solution :

{x,y} = {1,1}

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{4}}}\implies \cfrac{4+2}{-6}\implies \cfrac{6}{-6}\implies -1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-1}(x-\stackrel{x_1}{4}) \\\\\\ y+2=-x+4\implies y=-x+2\)

Answer:

B. The circumference of a balloon is a function of the amount of air you pump into the balloon.

Explanation:

When the amount of air pumped into a balloon increases, the circumference also increases.

Thus, we can say that the circumference of the balloon is dependent on the amount of air pumped in.

Thus, we have two variables:

• Dependent Variable,: Circumference

• Independent Variable,: Amount of air

This means that the circumference of a balloon is a function of the amount of air you pump into the balloon.

Option B is correct.

Let, amount invested in first account is x.

So, amount invested in second account is ( 5000 - x ).

Now,

Total interest = Interest from 1  + Interest from 2

170 = x × 0.01 × 1 + ( 5000 - x ) × 0.06 × 1

17000 = x + 6( 5000 - x )

17000 = x + 30000 - 6x

5x = 30000 - 17000

x = $2600

Therefore, money invested in first and second account is $2600 and $2400.

Hence, this is the required solution.

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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Answer:

55

Step-by-step explanation:530 would be rounded to 550 and 9 would be rounded to 10

550 divided by 10 is 55

Pls give me brainliest if this helps

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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The expected number of students that like maths in 200 students is 120

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

3 out of every 5 students said Math is their favorite class

This means that

P(Math) = 3/5

When simplified, we have

P(Math) = 0.6

In a selection of 200 students, the expected value is

Expected = 0.6 * 200

Evaluate

Expected = 120

Hence, the expected number of students that like maths is 120

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Question

In a recent survey, 3 out of every 5 students said Math is their favorite class.If 200 students were surveyed, how many students can be expected to choose math as their favorite class?

Answer:

4.4 gibrayets should be it

Answer:

x = 2 √ 2 , − 2 √ 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

\(\displaystyle x=\±2\sqrt{2}\)

Step-by-step explanation:

\(3x^2-24=0\)

\(3x^2-24+24=0+24\)

\(3x^2=24\)

\(\displaystyle \frac{3x^2}{3}=\frac{24}{3}\)

\(x^2=8\)

\(x=\±\sqrt{8}\)

\(x=\±2\sqrt{2}\)

The 95​% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).

Given the following data:

Mathematically, a confidence interval of 95% is given by;

α = 1 - 0.95

α = 0.05.

α/2 = 0.05/2 = 0.025.

Also, the degrees of freedom (df) is given by:

Degrees of freedom (df) = n - 1

Degrees of freedom (df) = 16 - 1

Degrees of freedom (df) = 15.

From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.

Mathematically, the confidence interval for mean is given by:

Mean ± (t-critical × (standard deviation/√(sample size)))

75.5 ± (2.131 × (24.2/√(16))

75.5 ± (2.131 × 6.05)

For the upper end, we have:

75.5 + 12.89 = 88.39

For the lower end, we have:

75.5 - 12.89 = 62.61.

In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.

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The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

9514 1404 393

Answer:

  135°

Step-by-step explanation:

Angle 8 and the one marked 45° are a linear pair, so are supplementary.

  angle 8 = 180° -45°

  angle 8 = 135°

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.

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a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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The level of significance on 0.05 exists at 83%.

The sample size (n) specified by the local cable company exists 300 which exists quite large.

According to the Central limit theorem, the sampling distribution of sample proportion observes a normal distribution with mean p and standard deviation

\($\sqrt{\frac{p(1-p)}{n}}$\)

Since the sampling distribution of sample proportions observes a normal distribution utilize the z-test for one proportion to execute the test.

The hypothesis is:

\($H_{0}$\): The proportion of U.S. households that owned two or more televisions exists at 83 %, i.e. p = 0.83

\($H_{1}$\): The proportion of U.S. households that owned two or more televisions exists less than 83 %, i.e. p < 0.83

Decision Rule:

At the level of significance \($\alpha=0.05$\) the critical region for a one-tailed z-test is:

\($Z \leq-1.645\)

By using the z table for the critical values.

So, if \($Z \leq-1.645$\)  the null hypothesis will be rejected.

Test statistic value:

\($z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\)

Here \($\hat{p}$\) exists the sample proportion.

Compute the value of \($\hat{p}$\) as follows:

\($&\hat{p}=\frac{X}{n} \\\) \($&=\frac{240}{300} \\\)

= 0.80

To compute the value of the test statistic as follows:

\($z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$\)

\($=\frac{0.80-0.83}{\sqrt{\frac{0.83 \cdot(1-0.83)}{3000}}}$\)

The test statistic exists at -1.383 which exists more than -1.645.

Therefore, the test statistic lies in the acceptance region.

Thus we fail to reject the null hypothesis.

At a 0.05 level of significance, we fail to reject the null hypothesis noting that the proportion of U.S. households that owned two or more televisions exists at 83%.

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

3/4

Step-by-step explanation:

Rise over run.

Go up 3 units and 4 units to the right to find the next point

Answer:

Using points ( 8 , 9 ) and ( 4 , 6)

Slope = 6-9/4-8

= -3/-4

= 3/4

Hope this helps

Answer:

Translations reflections, and rotations

are

Step-by-step explanation:

Hope this helps

Question 1 : Translations Reflections, And Rotations

Question 2 : And

◊ YusuCr ◊

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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