Tallulah needs to order some new supplies for the restaurant where she works. the restaurant needs at least 569 glasses. there are currently 245 glasses. if each set on sale contains 10 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses tallulah could buy for the restaurant to have enough glasses.

The two  statements that are logically true as per the given data is q=>p and  p ∧ q .

p = raining

q = Robert is laughing

q=>p   this is because the entire proposition is logically true when the conclusion of the condition is true.

and

p ∧ q   means that it is raining and Robert is laughing which is again logically true.

If two logical statements have the same truth value in all circumstances, they are said to be comparable. This fact can occasionally be used to demonstrate a mathematical result by switching out one expression for an equivalent one while maintaining the original compound proposition's truth value.

Propositional types based on Truth values

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The value of k in the equation 6(k + 2) = -30 - k is 7

The equation is given as:

6(k + 2) = -30 - k

Open the brackets

6k + 12 = -30 - k

Evaluate the like terms

7k = -42

Divide by 7

k = -6

Hence, the value of k in the equation 6(k + 2) = -30 - k is 7

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Answer: It's A

Step-by-step explanation:

Answer: x = (c - b)/-b

Step-by-step explanation:

c = b - bx

-bx + b = c

-bx = c - b

x = (c - b)/-b

Answer:

20

Step-by-step explanation:

20x1

=20

10+10

=20

15+5

=20

Answer:

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Step-by-step explanation:

By some estimates 80-90 percent of employee learning occurs via on the job training.

This is the term that is used to refer to the training that people would receive based on the fact that it is preparing them to have the competent skills that are useful for a particular job. It is one of the ways that employers help to get their employees ready for the task at hand.

It has been reported from available data that on the job training is a great component of employee learning.

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Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

Answer:  b

Step-by-step explanation:

I think

Answer:

13 containers of coleslaw

12 teammates

13÷12= 1,08 containers of coleslaw per teammate

The probability that no more than three are enrolled in college or university is P(x≤3)=(C⁵ₓ(0.63)ˣ(0.37)⁵⁻ˣ

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

When we are confused about the outcome of an event, we might discuss the probabilities of certain outcomes—how likely they are. Statistics is the study of events that are guided by probability.

Probability (P) = 0.63

n= 5

By using binomial distribution,

We know that,

P(x=x)= Cⁿₓ(p)ˣ(1-p)ⁿ⁻ˣ

P(x≤3)=(C⁵ₓ(0.63)ˣ(0.37)⁵⁻ˣ

The probability that no more than three are enrolled in college or university is P(x≤3)=(C⁵ₓ(0.63)ˣ(0.37)⁵⁻ˣ

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Given :

Three roots , \(\sqrt{7},\ -\sqrt{7},\ -4\) .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

\((x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0\)

Therefore, the cubic function of given zeroes is \(x^3+4x^2-7x-28=0\).

Hence, this is the required solution.

Answer:

the second option is correct.

Step-by-step explanation:

that is the solution above.

Common stock $12240 and paid-in capital in excess of par value $5100.

What is the common stock?

Common stock is a sort of instrument that represents company equity ownership. Outside of the United States, the words voting share and ordinary share are also commonly used. In the United Kingdom and other Commonwealth countries, they are referred to as equity shares or ordinary shares.

Here, we have

Given:  Nexis Corp. issues 1020 shares of $12 par value common stock at $16 per share.

So $5 per share is the premium on the issued share.

The premium is commonly recorded in a paid-in capital account.

1020×12 =  $1,2240 and a premium would be recorded in common stock.

1020×5 = 5100, would be recorded in the paid-in capital account.

Hence, Common stock is $12240, and paid-in capital in excess of par value is $5100.

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Answer:

Both plans are correct

Step-by-step explanation:

I already did it

The sample size required if we wish to develop a 90% confidence interval for the average diameter is more than 0.1 units. 

To decide the test estimate required for a 90% certainty interim for the normal distance across, we have to know the taking after :

1. The level of certainty (which is 90% in this case).

2. The standard deviation of the populace (which we'll expect is known).

3. The margin of error (which is the greatest separation between the test cruel and the genuine populace cruel that we're willing to endure).

Assuming we know the standard deviation of the populace, ready to utilize the equation:

n = (z²* σ²) / E²

where:

n is the test measure

z is the z-score compared to the level of certainty (which is 1.645 for 90% certainty)

σ is the standard deviation of the populace

E is the edge of mistake

We ought to select esteem for E, which speaks to the most extreme separation between the test cruel and the genuine populace cruel(mean) that we're willing to endure.

For case, in the event that we need the interim to have a width of no more than 0.1 units, at that point we would select E = 0.1/2 = 0.05.

So, stopping within the values we know, we get:

n = (1.645² * σ²) / E²

In case we accept that the standard deviation of the populace is 0.5 units (fair as a case), at that point we get:

n = (1.645² * 0.5²) / 0.05²

n = 67.65

Adjusting up to the closest numbers, we would require a test estimate of 68 to create a 90% confidence interim for the normal breadth with an edge of blunder of no more than 0.1 units. 

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Answer:

4 bags of oranges

Step-by-step explanation:

First, we need to find out how much each bag of oranges costs so we divide.  

$4.20 divided by 6 equals 0.7 which means that each bag of oranges costs $0.70.

Next we need to find out how much Ayden spent on oranges so we divide 0.70 by 2.80

2.80 divided by 0.70 equals 4.

This means that Ayden bought 4 bags of oranges.

Hope this helps!

Answer:

4 oranges

Step-by-step explanation:

First find the unit rate by dividing the price of 6 oranges by the amount of oranges in the bag. So $4.20÷6=0.7. 0.7 is the price of one orange. Since the dollar amount is small I just divided $4.20 by 2 and got $2.10 for three oranges. The question is asking how much he bought for $2.80 so add another .70 which is one more orange therefore he bought 4 oranges for $2.80

Answer:

456 \(cm^{2}\)

Step-by-step explanation:

Find the height of the trapezoid first (QR):

\(\sqrt{37^{2} -35^{2} }\) = 12

QR = 12

Area:

\(\frac{a+b}{2}\) × h = \(\frac{35+41}{2}\) × 12

           = 456 \(cm^{2}\)

The expression cos (125°) - cos 55° cos 35° cos 55° can be written as cos (55°) + cos (55°) cos (35°) cos (55°).

cos (125°) can be rewritten as cos (180° - 125°). Similarly, cos (35°) can be rewritten as cos (180° - 35°). Therefore, the expression can be written as:

cos (180° - 125°) - cos (55°) cos (180° - 35°) cos (55°)

Simplifying further, we have:

cos (55°) - cos (55°) cos (145°) cos (55°)

Since 145° is the supplement of 35°, we can rewrite it as:

cos (55°) - cos (55°) cos (180° - 35°) cos (55°)

Now, cos (180° - 35°) is equal to -cos (35°). Therefore, the expression becomes:

cos (55°) + cos (55°) cos (35°) cos (55°)

Hence, the expression as a function of an acute angle is:

cos (55°) + cos (55°) cos (35°) cos (55°)

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Answer: Sandra wants to use multiplication to solve 1/4 divided divided by 6 equals t which multiplication equation can sander use

Step-by-step explanation:

To solve this problem, we can set up a proportion based on the given information. Let's assume that the number of machines is directly proportional to the number of devices produced .

The time taken is inversely proportional to the number of devices produced. From the given information: 24 machines can make 5 devices in 30 minutes. let's assign variables:  Let m1 be the number of machines.

Let d1 be the number of devices. Let t1 be the time taken. We have the following ratios: m1:d1 = 24:5 (number of machines to number of devices)

t1:d1 = 30:5 (time taken to number of devices).  Now we need to find the time it would take for 4 machines to make 15 devices. Let m2 be the number of machines (4 in this case). Let d2 be the number of devices (15 in this case). Let t2 be the time taken (to be determined). We can set up the following proportion:  m1:d1 = m2:d2.  Substituting the values we have: 24:5 = 4:15.  To find t2, we can set up the following proportion:

t1:d1 = t2:d2.  Substituting the values we have: 30:5 = t2:15.   Now we can solve for t2: 24/5 = 4/d2 (Cross-multiply).  24d2 = 4 * 5.  24d2 = 20.  d2 = 20/24. d2 = 5/6. So, 4 machines will make 15 devices in 5/6 of the time it took 24 machines to make 5 devices. To find the time, we can set up a proportion: 30/5 = t2/(5/6) (Cross-multiply). 30 * (5/6) = t2. 25 = t2. Therefore, 4 machines will take 25 minutes to make 15 devices. To convert this to hours, divide the time by 60: 25 minutes = 25/60 hours

25/60 = 5/12(Answer) .

Therefore , if 24 machines can make 5 devices in 30 minutes,  4 machines will take 5/12 of an hour to make 15 devices.

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Answer: q = 13

because p and q are inverse

=>  26/10 = q/5

⇔ q = 26/10.5

⇔ q = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function f(x)=3x is an exponential function; the variable is the exponent. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive.

Answer: The distance between the ring and the coin = 15 units.

Step-by-step explanation:

Distance between two points (a,b) and (c,d) is given by :-

\(D=\sqrt{(c-a)^2+(d-b)^2}\)

Location of rine = (-2,-6)

Location of the coin = (7,6)

Then, the distance between the ring and the coin \(=\sqrt{(6-(-6))^2+(7-(-2))^2}\)

\(=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15\)

Hence, the distance between the ring and the coin = 15 units.

The linear equation for the given data in the table will be equal to y = 3x + 2.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

The equation of a line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

From the given data the slope will be calculated as below:-

m = ( y₂ - y₁) / (x₂ - x₁)

m = ( 5 - 2 ) / ( 1 - 0 ) = 3

Put the value y = 2 and x = 0 in the equation to get the value of the constant.

y = mx + c

2 = 0 + c

c = 2

The equation will be formed as below:-

y = mx + c

y = 3x + 2

Therefore, the linear equation for the given data in the table will be equal to y = 3x + 2.

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Answer:

Use a model to find the sum of two fractions with the same denominator

Add fractions with a common denominator without a model

Add fractions with a common denominator that contain a variable h

Step-by-step explanation:

h

Answer:

144

Step-by-step explanation:

9*3=27

27*4=108

6^2=36

108+36=144

Answer:

\(\Large \boxed{\sf 144 \ ft^2}\)

Step-by-step explanation:

Find the area of the 4 triangles and 1 square and add them.

Area of triangle = base × height × 0.5

Area of square = s²

\((9 \times 6 \times 0.5\times 4)+(6^2)=144\)

Answer:

3 times

Step-by-step explanation:

If you divide 9 by 2.44 you get 3.688 and some numbers after that, but you just round and you get 3.

Answer:

Square A'B'C'D' is the image of ABCD after a reflection and a translation

Explanation:

Given the quadrilateral ABCD, with coordinates;

From the given image A'B'C'D', the size of the image and that of the pre-image is the same so, there is no dilation since there is no change in size.

Looking at the orientation of the image, we can observe the pre-image was reflected across the x-axis;

Looking further, we can see that there has been a shift in the position of the image after the reflection. So, there is also a translation after the reflection.

Therefore, Square A'B'C'D' is the image of ABCD after a reflection and a translation

To complete the table for the multinomial Goodness of Fit hypothesis test, we need to calculate the expected frequencies for each category based on the claimed frequencies.

Given that the claimed frequencies are:

pA = 0.2

pB = 0.4

pC = 0.3

pD = 0.1

Let's assume the total number of observations is n. Then we can calculate the expected frequencies for each category as:

Expected Frequency = (Claimed Frequency) * n

UsinTo complete the table for the multinomial Goodness of Fit hypothesis test, we need to calculate the expected frequencies for each category based on the claimed frequencies.

Given that the claimed frequencies are:

pA = 0.2

pB = 0.4

pC = 0.3

pD = 0.1

Let's assume the total number of observations is n. Then we can calculate the expected frequencies for each category as:

Expected Frequency = (Claimed Frequency) * n

Using this formula, we can complete the table:

Category | Claimed Frequency | Expected Frequency

A | 0.2 | 0.2 * n

B | 0.4 | 0.4 * n

C | 0.3 | 0.3 * n

D | 0.1 | 0.1 * n

The expected frequencies will depend on the specific value of n, which represents the total number of observations. You would need to provide the value of n to calculate the expected frequencies accurately.

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Category | Claimed Frequency | Expected Frequency

A | 0.2 | 0.2 * n

B | 0.4 | 0.4 * n

C | 0.3 | 0.3 * n

D | 0.1 | 0.1 * n

The expected frequencies will depend on the specific value of n, which represents the total number of observations. You would need to provide the value of n to calculate the expected frequencies accurately.

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