Susanna purchased a shirt for $5 pants for $10 and a jacket for $25 she wants to buy at least one purse for the outfit but she wants to have something left of her original $65 how much money might she spend on the purse?

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

Answer:

27, 200, 200, 217, 227, 227, 712

Step-by-step explanation:

Answer:

27, 200, 200, 200, 217, 217, 227, 227, 712

Step-by-step explanation:

The samples in the first proposal are independent, while the samples in the second proposal are dependent.

In the first proposal, where the manufacturer randomly samples 10 different dealerships for each set of sales numbers (last year and 15 years ago), the samples are independent. This is because the selection of dealerships for one set of sales numbers does not affect or influence the selection of dealerships for the other set of sales numbers. Each dealership is chosen randomly and independently for each set.

On the other hand, in the second proposal, where the manufacturer randomly samples 10 dealerships for both sets of sales numbers, the samples are dependent. This is because the selection of dealerships for one set of sales numbers is directly tied to the selection of dealerships for the other set of sales numbers. The same 10 dealerships are chosen for both sets, so the samples are not independent.

The choice between independent and dependent samples can have implications for statistical analysis. Independent samples allow for direct comparisons between the two sets of sales numbers, while dependent samples may introduce potential bias or confounding factors due to the shared dealership selection.

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The raw score which is the score separating the bottom 42% from the top 58% is 183.32.

The given variable is a normal distribution variable.

Mean of the variable is given by = µ = 164.8

Standard deviation of the variable is given by = s = 92.6

Let the p42 or the score separating the bottom 42% from the top 58% be x.

z = (x - 164.8)/92.6

So, P(Z < z) = 0.42

We know that normal distribution table that P(Z < -0.21) = 0.42

So, z = - 0.21

(x - 164.8)/92.6 = 0.21

x - 164.8 = 0.21*92.6

x - 164.8 = 18.52

x = 18.52 + 164.8

x = 183.32

Hence the required raw score will be 183.32.

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The length of the stick was 7.55 cm.

Given that,

initial speed of bug is given by, v=0.65 m/s

m refers to the mass of bug.

Mass of stick is given by, M= 10m

I refers to the moment of inertia of bug and stick together about the end of the stick.

ω refers to the angular velocity of the bug and stick immediately after collision.

L refers to length of stick

Stick can be considered rod.

Now, moment of inertia about end of a rod is given by = 1/3 ML²

From angular momentum conservation theory we can get,

total initial angular momentum = total final angular momentum

mvL = Iω

mvL = [mL² + 1/3 ML²] ω

mvL = [mL² + 1/3 (10m) L²] ω

0.65 L = 4.333 L²ω

L = 0.15/ω

ω = 0.15/L

Change in vertical position center of mass of rod is given by,

H = L/2 [1 - cos θ]

Change in vertical position of bug after reaching max height is given by,

h = L [1 - cos θ]

From energy conservation law we can conclude that,

Rotational kinetic energy immediately after collision = Potential energy of bug and stick system at max height .

(1/2) [mL² + 1/3 ML²] ω² = mgh + MgH

(1/2) [mL² + 1/3 (10m) L²] ω² = m(gh + 10gH)

2.167 L²ω² = g (h + 10H)

2.167 L² (0.15/L)² = g [L [1 - cos θ] + 5L [1 - cos θ]] (Substituting the relations from previous)

(2.167) (0.15)² = 6 (9.8) L (1 - cos 8.5)

L = 0.0755 m (Rounding off to nearest fourth decimal places)

L = 7.55 cm

Hence the length of the stick was 7.55 cm.

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The question is incomplete. The complete question will be -

Answer:

3.0

Step-by-step explanation:

0.8 times -3 = -2.4

5.4-2.4=3.0

So the answer is 3.0

Answer:

The answer is C

Step-by-step explanation:

Khan Academy

Answer:

C

Step-by-step explanation:

Offer A will provide a greater total income after 5 years.

Given that an applicant receives a job offer from two different companies, and Offer A is a starting salary of $ 55,000 and a 5% increase for 5 years while Offer B is a starting salary of $ 56,000 and an increase of $ 2,000 per year, to determine which offer will provide a greater total income after 5 years, the following calculation must be performed:

Therefore, Offer A will provide a greater total income after 5 years.

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Answer:

2

Step-by-step explanation:

(x-2)(x+3)(x+3)

(x² + x - 6)(x+3)

x³ + 4x² - 3x - 18

we can see here it is cubic but 2 of the roots are the same

Answer:

true

Step-by-step explanation:

Answer: $95.7

Step-by-step explanation:

580 x 5.5% = 31.9 x 3 =95.7

$95.7

Answer:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

Step-by-step explanation:

For the matrix A, we can perform the following row operations:

R2 = R2 - 42R1

This gives us the following matrix:

[1 -42 0]

[0 t-3 0]

The second row is a multiple of the first row, so it is linearly dependent on the first row. Therefore, the rank of the matrix is 2.

The rank of the matrix is a function of the parameter t. When t = 3, the second row is not a multiple of the first row, so the rank of the matrix is 3. When t ≠ 3, the second row is a multiple of the first row, so the rank of the matrix is 2.

Therefore, the rank of the matrix is given by the following function:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

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20/100

That is the answer if u want it simplified it is 1/5

Answer:

20/100 simplified is 1/5

Step-by-step explanation:

it is the fraction form

Answer:

x=9

Step-by-step explanation:

The work is done on the toy car is 164.4 J .

We are aware that the definition of work is the multiplication of the magnitude of the displacement (d) and the component of the force acting in the displacement direction.

When an object moves over a distance while being applied with force, the work is considered to have been completed.

Three categories can be used to classify the type of labor performed. Positive work, negative work, and zero work are the three types. The angle between force and displacement determines the kind of work that is done. Positive work is defined as any work that causes an object to move in the direction of the applied force.

Given ,

Work = force * distance

Force = 5.2 N

Distance = 32 m

So ,

Work = 5.2 * 32

= 166. 4 J

Therefore the work is done is 164.4 J

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We can conclude that the high school coach's claim is wrong, and the average pulse rate of students trying out for sports is not 62.4 bpm. The p-value is 0.014.

To compute the p-value, the following steps will be carried out in order;

State the null and alternative hypotheses and select a level of significance (α).

Then, apply the Z-test.

Statistical inference should be made.

The P-value should be calculated.

The findings must be interpreted.

This test is carried out to see whether the given data (sample) is enough to refute the null hypothesis that the mean population pulse rate is 62.4 bpm. (\(H_O\)).

The alternate hypothesis (\(H_A\)) is that the mean pulse rate is not equal to 62.4 bpm. (\(H_A\)).

Hence; \(H_O\):

µ = 62.4 bpm \(H_A\): µ ≠ 62.4 bpm

We choose a level of significance of α= 0.05.

The significance level is usually referred to as alpha (α), which is a probability threshold that the sample data is used to assess.

When the null hypothesis is rejected, alpha (α) is the probability of making a Type I mistake.

When the null hypothesis is correct, it represents the probability of rejecting it.

We'll next use the Z-test in this scenario, which is the most common type of hypothesis test for population means when the population standard deviation (σ) is known.

The Z-test is performed using the following formula;

Z = (X - µ) / (σ / √n)

where; X = sample mean

µ = hypothesized population mean

σ = population standard deviationn = sample size

Substituting the values given;

Z = (65.0 - 62.4) / (10.3 / √32)Z = 2.17 (to 2 decimal places)

The p-value is calculated next;

P (Z > 2.17) = 0.014 (to 3 decimal places).

In conclusion, since the P-value is less than the significance level, we reject the null hypothesis.

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Step-by-step explanation:

just draw out according to a graph chart or pie chart

Answer:

the secound one

Step-by-step explanation:

hope it helped:3

Answer:

b

Step-by-step explanation:

A correct comparison of sandwich prices based on the histograms is,

More shops charge between $12 and $13 near Main Line University than City College.

A price is the quantity of payment or compensation given by one party to another in return for goods or services. In some situations, the price of production has a different name. If the product is a "good" in the commercial exchange, the payment for this product will likely be called its "price".

Here, we have,

from the given conditions, the correct answer is, More shops charge between $12 and $13 near Main Line University than City College.

Hence,  A correct comparison of sandwich prices based on the histograms is, More shops charge between $12 and $13 near Main Line University than City College.

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Answer:

X= -12

Step-by-step explanation:

So just combine like terms and isolate the variable

5x+2=6x+14

2=x+14

-12=x

So x is negative twelve

Answer:

x = -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

7x - 2x + 2 = 6x + 14

Step 2: Solve for x

D. 62% of women in the sample are the primary investor in their household.Inference: Women in the United States are likely to be the primary investors in their households.

The answer to this question is D. 62% of women in the sample are the primary investor in their household. This is an example of the descriptive branch of statistics because it summarizes the data collected in the survey. The inference based on the results of the survey is that women in the United States are likely to be the primary investors in their households.

62% of women in the sample are the primary investor in their household.

Inference: Women in the United States are likely to be the primary investors in their households.

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Answer:

The expressions name the same number regardless of the value of x

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Because 3 can become 1 and 2

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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The given expression is equal to the option 54 - 11 + 7.

What is an expression?

An expression, often known as a linear equation, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Variables (tuples), parameters, events, procedures, brackets, parentheses, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features. Expressions are syntactic devices. It must be properly constituted, which means that the permissible operators must have the right amount of inputs in the right places, legal characters for these inputs, a clearly defined order the functions, etc. The grammatical guidelines must be obeyed for a string of symbols to be considered a valid arithmetic expression.

The given expression is as follows

6 × 3² - (2 + 9) + 28 ÷ 4

= 6 × 9 - 11 + 7

= 54 - 11 + 7

Hence the given option 54 - 11 + 7 is equal to the given expression.

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To show that AεCFG is decidable, we will describe an algorithm that can decide whether a given context-free grammar (CFG) G generates the empty string ε. The terms we will include in this explanation are CFG, decidable, and ε.

Algorithm to decide AεCFG:

1. Convert the given CFG G into Chomsky Normal Form (CNF). In CNF, each production is either of the form A -> BC or A -> a, where A, B, and C are non-terminal symbols and a is a terminal symbol. Converting to CNF ensures that we can easily analyze the structure of G.

2. Perform a depth-first search (DFS) on the CFG G starting from the start symbol S.

3. During the DFS, if we encounter a production of the form S -> ε, then G generates the empty string ε, and we can accept the input.

4. If we do not find a production of the form S -> ε after exploring all possible paths in the DFS, then G does not generate the empty string ε, and we can reject the input.

Since this algorithm can decide whether a given CFG G generates the empty string ε in a finite number of steps, we can conclude that AεCFG is decidable.

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Answer:

Area is probably around 153.94

Step-by-step explanation:

Answer:

49π or 153.93804

Step-by-step explanation:

The formula for area of a circle is Pi * radius^2. The radius is half of the diameter, so the radius is 7. We then square 7, getting 49, and multiply that by pi, getting us 49π or 153.93804

The level of significance, in hypothesis testing, is the probability of rejecting a null hypothesis when it is actually true.

This is why it is important to set a proper level of significance before conducting the hypothesis testing to minimize the risk of making a type I error (incorrectly rejecting a true null hypothesis). This criterion is known as (alpha) and is usually always set to in null hypothesis testing.  0.05, and 0.01 are typical values. The level of significance is typically set at 0.05 or 0.01, meaning that there is a 5% or 1% chance of rejecting the null hypothesis when it is actually true.

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The level of significance, in hypothesis testing, is the probability of  rejecting null hypothesis. accepting a true rejecting a true rejecting a false accepting a false

In hypothesis testing, the level of significance (often denoted as α) is a predetermined threshold used to make a decision about the null hypothesis. It represents the maximum probability of making a Type I error, which is rejecting a true null hypothesis.

The null hypothesis (H0) is a statement or assumption that suggests there is no significant difference or relationship between variables in a population. The alternative hypothesis (Ha) is the statement that contradicts or opposes the null hypothesis, suggesting that there is a significant difference or relationship.

To perform a hypothesis test, we collect sample data and calculate a test statistic. Then, we compare the test statistic to a critical value determined by the level of significance.

If the test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis. If the test statistic falls within the acceptance region (below the critical value), we fail to reject the null hypothesis.

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When the length of JK is 9.5 feet and the angle L is 61 degrees  trigonometric ratio of the tangent, solving yields: KL=9.5ft/1.804 KL=5.27 ft.

The relationship between triangle side lengths and angles is investigated in the branch of mathematics known as trigonometry. The application of geometry in astronomical study gave rise to the area's first appearance during the Hellenistic era, roughly in the third century BC. Exact methods mathematics focuses on certain trigonometric functions and how they might be applied to calculations. In trigonometry, there are six widely used trigonometric functions. Their respective names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of the properties of triangles, especially of right triangles. The features of all geometric shapes are studied in geometry, though.

given

△JKL

JK=9.5ft

∠L=61∘

Find:KL

We may determine the outcome using the tangent's trigonometric ratio.

Tan = JK/KL = 61

When we separate KL, we get KL=9.5ft/tan61.

When the length of JK is 9.5 feet and the angle L is 61 degrees  trigonometric ratio of the tangent, solving yields: KL=9.5ft/1.804 KL=5.27 ft.

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The correct question is :-

Given triangle JKL, find the length of KL. The length of JK is 9.5 ft and the angle L is 61 degrees.

one solution of the equation is approximately 1.8925469 radians.

The equation is:

tan(x) + 3 = 0

Subtracting 3 from both sides, we get:

tan(x) = -3

Taking the inverse tangent of both sides, we get:

x = arctan(-3)

However, the tangent function is periodic with period π, which means that there are infinitely many solutions to this equation. In general, the solutions are given by:

x = arctan(-3) + nπ, where n is an arbitrary integer.

Using a calculator to approximate arctan(-3), we get:

arctan(-3) ≈ -1.2490458

Therefore, the general solution to the equation is:

x ≈ -1.2490458 + nπ, where n is an arbitrary integer.

If we substitute n = 1, we get:

x ≈ -1.2490458 + π

Using a calculator to approximate this value, we get:

x ≈ 1.8925469

So one solution of the equation is approximately 1.8925469 radians.

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Answer:

If the perimeter = 300m

let the ratio be in x

a/q.

3x + 5x + 7x. = 300m

15x = 300

x = 300/15

x = 20

hence angles are

60 , 100 and 140

hope it helps

Answer:

A ≈ 1500\(\sqrt{3}\) m²

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 7 = 15 parts

Divide perimeter by 15 to find the value of one part of the ratio.

300 ÷ 15 = 20 m ← value of 1 part of the ratio , then

3 parts = 3 × 20 = 60 m

5 parts = 5 × 20 = 100 m

7 parts = 7 × 20 = 140 m

The 3 sides of the triangle are 60 m, 100 m , 140 m

To calculate the area (A) having all 3 sides use Hero's formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

where s is the semiperimeter and a, b , c the sides of the triangle

s = 300 m ÷ 2 = 150 m

let a = 60, b = 100 and c = 140 , then

A = \(\sqrt{150(150-60)(150-100)(150-140)}\)

   = \(\sqrt{150(90)(50)(10)}\)

   = \(\sqrt{6750000}\)

   = \(\sqrt{10000}\) × \(\sqrt{675}\)

   = 100 × \(\sqrt{25(27)}\)

    = 100 × 5\(\sqrt{27}\)    

    = 500 × \(\sqrt{9(3)}\)

   = 500 × 3\(\sqrt{3}\)

   = 1500\(\sqrt{3}\) m²