Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.If you interview for a job, then you wear a suit.
If you interview for a job, then you will update your resume.

Answer:

Hope this helps

Step-by-step explanation:

Similar Triangles... Yes

QR similar to SR

ang. QRP = ang. SRT

ang. p = ang. t

=> similar

Answer:

x = minus two

Step-by-step explanation:

5x+3 = 2x-3

5x-2x = -3-3

3x = -6

x = -6÷3

x = -2

The solutions of the given equation  5x+3=2x-3  is x = -2.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable.

The solution of the equation  5x+3=2x-3 is calculated as:

5x+3=2x-3

Take all the constants at one side and variable at the other side,

5x -2x = -3-3

3x = -6

Divide both sides by 3 to get the value of x

\(x = \dfrac{-6}{3}\)

Thus, both the numerator and denominator are divisible by 3.

So, the value of x in the lowest form will be -2.

The  given equation is a linear equation with one variable. So, this equation will have only one solution.

The solutions of the given equation 5x+3=2x-3  is x = -2.

Learn more about equations here :

https://brainly.com/question/14686792

#SPJ6

The solutions of the equation:

(n-3)(n+6)(n+5)=0

are n = 3, -6, -5

Here we want to solve the equation below:

(n-3)(n+6)(n+5)=0

Remember that the product between any number x and 0 is always zero:

x*0 = 0

Then the expression (n-3)(n+6)(n+5) will be equal to zero if any of the factors is zero, that means that if:

n - 3 = 0

n = 3

if:

n + 6 = 0

n = -6

if

n + 5 = 0

n = -5

These are the 3 solutions.

Learn more about finding zeros:

https://brainly.com/question/20896994

#SPJ1

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:

Answer:

cylinder to cone = 3:1

sphere to cylinder = 4r:3h

cone to sphere = h:4r

hemisphere to cylinder = 2r:3h

Step-by-step explanation:

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

Learn more about Surveys here:

brainly.com/question/13532910

#SPJ4

Answer:−18x>36

Divide both sides by −18. Since −18 is negative, the inequality direction is changed.

x< −18

36

​

Divide 36 by −18 to get −2.

x<−2

Step-by-step explanation:

Hope this helps!

The hypothesis testing framework is a statistical approach used to make decisions based on data. In this framework, we assume that the null hypothesis is true and then assess whether the data is likely to have arisen from a population defined by the null hypothesis.

This assessment is made by comparing a sample statistic or test statistic against its distribution under the null hypothesis.If the test statistic falls in the rejection region, this provides evidence against the null hypothesis because it suggests that our sample is unlikely to have come from a population with the parameter value(s) stated in the null hypothesis. The rejection region is defined by the significance level of the test and represents the area in which we reject the null hypothesis.
When conducting a hypothesis test, there are two types of errors that can occur: type I and type II errors. A type I error occurs when we reject a true null hypothesis, while a type II error occurs when we fail to reject a false null hypothesis.
To avoid these errors, we need to choose an appropriate level of significance (alpha) for the test and ensure that our sample size is large enough to detect a difference between the null hypothesis and the true population parameter.
In conclusion, the hypothesis testing framework is a useful tool for making decisions based on data. By assuming the null hypothesis is true and comparing our sample statistic or test statistic to its distribution under the null hypothesis, we can determine whether the data supports or contradicts the null hypothesis. If the test statistic falls in the rejection region, this provides evidence against the null hypothesis and suggests that our sample is unlikely to have come from a population with the parameter value(s) stated in the null hypothesis.

for more such question on hypothesis

https://brainly.com/question/606806

#SPJ11

In a binomial experiment with probability of success and trials is conducted, the probability of one trial is independent of another.

How to find the number of success in a binomial distribution?

The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial expression, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the probability of one trial do not influence those of the others.

Therefore, in a binomial experiment with probability of success and trials is conducted, the probability of onetrial is independent of another.

To learn more about binomial distribution refer to:

brainly.com/question/9325204

#SPJ4

Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

=================

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

The value of the N must be in order of the 31 so that the value of the Sn will get exceeded by 4.

Only when the kind of sequence is known can the sum of n words in a sequence be calculated. Normally, while computing the sum of an n-number of terms, we take into account arithmetic progression.

The common distinction between each following phrase and each preceding term remains unchanged throughout this process. Natural numbers are an illustration of AP, where the common difference is 1. Hence, in order to determine the sum of all natural numbers, we must be aware of the formula.

\(S_N = \sum^N_{k=1} \frac{1}{k}\)

= 1 + 1/2 + 1/3 + 1/4 + ..... 1/N

It is a harmonic series,

Therefore, by trial and error method we get N = 31 to exceed Sn = 4

There are some elimination methods,

ln N + 1/N < Sn < ln N+1

we want Sn > 4

ln N+1/N < 4

maximum value of N is ln N+1/N =4

4<ln N+1 → ln N > 3, N > e³

5<ln N+1 → ln 4, N > e⁴

For Sn to exceed it value maybe in between

e³ < N < e⁴.

20.08 < N < 54.5

As I said it is an approximation it won't give exact value.

By taking a value in that range and check for desired value.

for N = 31 Sn willl exceed '4'.

Learn more about The value of N:

https://brainly.com/question/27792523

#SPJ4

Complete question:

How large must N be in order for

\(S_N = \sum^N_{k=1} \frac{1}{k}\)

to exceed 100 to exceed 4? Note: Computer calculations show that for SN to exceed 20, N = 272, 400, 600 and for Sn to exceed 100, N = 1.5x10⁴³.

N = ?

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

Learn more about compound inequality

brainly.com/question/17957246

#SPJ11

Answer:

20.63%

Step-by-step explanation:

189-20.63%=150,0093

Answer:

20.63%

Step-by-step explanation:

% change = (New Value - Initial Value)/(Initial Value) * 100

                 = (150-189)/189 * 100

                 = -20.63%

Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.

Hopefully this helps!!

In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

To learn more about independent event visit:

brainly.com/question/32716243

#SPJ11

Answer:

Option 3 and 4

Step-by-step explanation:

The amount she drank plus 10 equals 24 ounces, and rearranged, proves that 24 minus 10 ounces equals the amount of water she drank.

Answer:

C and D are the correct answers because you have to do the same work for the answer and those are the only equations that will help you find x

hope this helps

Answer: 25?

Step-by-step explanation:

Answer:

1.522 ft tall

Step-by-step explanation:

divide 13.8 by 6ft and you would get 2.3

the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.

Step-by-step explanation:

\(120=2^3 \times 3 \times 5\)

Answer:

2³ × 3 × 5

Step-by-step explanation:

To find the prime factors, first divide 120 by 2 until finished , then 3 and so on

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1 ← finish when 1 is obtained

Then

120 = 2× 2 × 2 × 3 × 5 = 2³ × 3 × 5

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

to know more about types of triangle visit:

https://brainly.com/question/2773823

#SPJ1

We have the data set:

{79, 83, 82, 78, 79, 77, 80, 73, 82, 72}

This data set has 10 items.

To complete the data summary is helpful to sort the data:

{72, 73, 77, 78, 79, 79, 80, 82, 82, 83}

The minimum value is 72.

The quartile divides the data set in 4 parts.

The first quartile is the value for which 25% of the data is below.

The second quartile is the value for which 50% of the data is below. The second quartile is equivalent to the median.

The third quartile is the value for which 75% of the data is below.

In this data set, as its size is a even number, the quartile fall between two positions, so we will calculate the average of this numbers.

The first quartile will fall in the position 0.25*10=2.5. Then we can calculate the 1st quartile as the average between the 2nd and 3rd number of the data set.

This values are 73 (2nd position) and 77 (3rd position), so the average is:

We can repeat this with the other quartiles:

Then:

The first quartile is 75.

The median (second quartile) is 79.

The third quartile is 82.

The maximum value is 83.

Answer:

x=5

Step-by-step explanation:

Clinton Bailey Sr.'s average time per knot is approximately 1.35 seconds.

To find Clinton Bailey Sr.'s average time per knot, we can write an equation and solve for the average time.

Let's denote the average time per knot as "t" (in seconds).

Given that Clinton Bailey Sr. tied six different knots in 8.1 seconds, we can set up the following equation:

(8.1 s) / 6 = t

To find the average time per knot, we divide the total time (8.1 seconds) by the number of knots (6).

Now, we can solve for "t" by performing the calculation:

t = (8.1 s) / 6

t ≈ 1.35 seconds

Therefore, the average knot time for Clinton Bailey Sr. is 1.35 seconds.

Learn more about equation on:

https://brainly.com/question/27893282

#SPJ11

We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

Learn more about probability here;

brainly.com/question/11234923

#SPJ1

(BC + AD) / 2 = 17

(2x + 1 + 3x + 8) / 2 = 17

5x + 9 = 34

5x = 25

x = 5

Answer:

-2xl -2y + 99

Step-by-step explanation:

Answer:

\(-2xl -2y+99\)

Step-by-step explanation:

STEP 1: Subtract 9 from 61.

\(-2xl+52+41-2y+6\)

STEP 2: Add 52 and 41.

\(-2xl+93-2y+6\)

STEP 3: Add 93 and 6.

\(-2xl-2y+99\)

Answer:

\(\frac{637}{32} or 19\frac{29}{32}\)

Step-by-step explanation:

first you have to put them into improper fractions

\(3\frac{1}{4}\) → \(\frac{13}{4}\)

\(6\frac{1}{8}\) → \(\frac{49}{8}\)

\(\frac{13}{4}*\frac{49}{8}=\frac{637}{32}=19\frac{29}{32}\)

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = 3x + 1

h(x) = 4

Step 2: Substitute and Evaluate

4 = 3x + 1

3 = 3x

x = 1

To determine the solutions x⁵ + 2x³ = 3, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

Let's solve the equation step by step to find the solutions.

Starting with the given equation:

log₃(x) + log₃(x² + 2) = 1 - 2log₃(x)

Now, let's simplify the equation using logarithmic properties. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient:

log₃(x(x² + 2)) = 1 - log₃(x²)

Next, we can simplify further by using the properties of exponents. The logarithmic equation can be rewritten in exponential form as:

(\(3^{(log3(x(x^{2} +2)))} = 3^{(1-log3((x^{2}))}\)

The base of the logarithm and the exponent cancel each other out, resulting in:

x(x² + 2) = \(3^{(1-log3(x^{2}))}\)

Now, let's simplify the right-hand side by applying the power rule of logarithms:

x(x² + 2) = 3 / \(3^{(log3(x^{2} ))}\)

Since  \(3^{(log3(x^{2} ))}\)       is equal to x² by the definition of logarithms, the equation becomes:

x(x² + 2) = 3 / x²

Expanding the left-hand side:

x³ + 2x = 3 / x²

Multiplying through by x² to eliminate the fraction:

x⁵ + 2x³ = 3

This is a quadratic equation, which does not have a general algebraic solution that can be expressed in terms of radicals. Therefore, it is challenging to find the exact solutions analytically.

To determine the solutions, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ11

Answer:4.62x10^13

Step-by-step explanation: