A grocery store has 693 cans that came in 33 cases. If a restaurant buys 4 cases, how many cans did they buy?

There are 2100 workers in​ the company

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Since 85​% of the workers are women, we can say:

The percentage of worker that aren't women = 100% - 85​% = 15​%

Let N represent the number of all workers. If 315 people work for the company who​ aren't women. We can say:

15​% of N = 315

15/100 × N = 315

0.15N = 315

N = 315/0.15

N = 2100 workers

Method 2:

We can write:

N - 0.85N = 315

0.15N = 315

N = 315/0.15

N = 2100 workers

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Answer:

The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Step-by-step explanation:

To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.

The general form of the regression equation is:

\(y=a+bx\)

Compute the values of a and b as follows:

\(a=\frac{\sum Y\cdot\sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075 - 12565\cdot 39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860- 12565\cdot 15}{5\cdot 32109075-(12565)^{2}}=0.004\)

*Use the Excel data sheet attached.

The regression equation of number of hours based on the number of bacteria is:

\(y=-7.203+0.004x\)

Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:

\(y=-7.203+0.004x\)

   \(=-7.203+(0.004\times 12000)\\=-7.203+48\\=40.797\\\approx 41\)

Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Answer:

One bad b, and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

One bad b, and she do what I say so (yeah, gang)

Two big .40s and a big a Draco (two)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s

I'm with my n*yeah, we some rockstars

And I'm with my n yeah, KK Wokhardt (KK Wokhardt)

This not my d, lil' b, my Glock hard (lil' b)

Straight to the cash, I'm a trapstar (cash)

Straight to the bag, I'm that n, huh (bag, oh)

Got me some gas, rollin' up some

Fft, fft, cash, yeah, I got me some

I ain't f her yesterday (yeah)

I'ma f some

One bad b , and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

3-0 clip in my Nina (oh, oh)

On my toes, Gucci, Valentino (yeah, b)

She on go, your b f the team, uh (lil' b )

'Cause you know your b want a winner (winner)

I just went back to my city (to my city)

And you know they all f with me (big hands)

But it ain't safe, h with me (h)

I'ma chase bands 'til they end me

One bad b, and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

One bad b, and she do what I say so (yeah, gang)

Two big .40s and a big a Draco (two)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

It is Letter C.Because i took the test.

Step-by-step explanation:

These triangles can be proven congruent by using S-A-S rule.

What is congruent triangles?

Two triangles are same to be congruent if all 3 corresponding sides ar equal and every one the 3 corresponding angles ar equal in measure. These triangles will be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The symbol of congruence is’ ≅’.

Main body:

In ΔABC and ΔXYZ

AC = XZ   ---(1)

∠C = ∠ Z    ---(2)

BC = YZ    ---(3)

using 1, 2 ,3  we can prove that  ΔABC and ΔXYZ are congruent.

Hence ΔABC and ΔXYZ  are congruent.

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The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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The probability for the given case is 5/23.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

Total number of students is 29.

The students who play instrument are 23.

Those who play a sport are 9.

And, those who play both are 5.

Given problem is the case of conditional probability which can be solved by Bayes's theorem as,

P(A|B) = P(A ∩ B) / P(B)

Suppose, A be the event the students play instrument.

B be the event the students play a sport.

And, A ∩ B is the event they play th both.

Then A|B implies the event when a student play instrument given he plays sport.

Apply the rule of probability in the equation for Bayes's theorem to get,

P(A|B) = (5/29) / (23/29)

          = 5/23

Hence, the probability that a student plays an instrument given that they play a sport is 5/23.

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Its 3/2.

Hope this helps.

Answer:

9.4 serving

Step-by-step explanation:

23.5/2.5 = x/1

just divide 23.5 from 2.5 lol

x = 9.4

I'd be sorry if im wrong

Answer:

wenus.

Step-by-step explanation:

4 inches. hduruuruthtututuu4u4

The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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The fourth term a₄ of the sequence is 29933

From the question, we have the following definition of the function that can be used in our computation:

a₁= 3

aₙ = (aₙ₋₁)² + 4

The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = (3)² + 4

a₂ = 13

Also, we have

a₃ = (13)² + 4

a₃ = 173

Lastly, we have

a₄ = (173)² + 4

Evaluate the equation

a₄ = 29933

Hence, the value of a₄ is 29933

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Answer:

6x + 8 < 3x + 4

6x - 3x < 4 - 8

3x < -4

x > -4

3

Answer:

32

Step-by-step explanation:

because it 's a antiparallelogram so 3=2, 1=32

Answer: So we know that the grocery store owner makes 20 pounds of candy.

Here are the numbers we are working with:

Step-by-step explanation:

The explanation for this is 20 x 3.25

That is 65, so 65 x 5.25 = 341.25

341.25 x 1.25 = 426.5625

Answer:

x = 5

Step-by-step explanation:

4/5×=6-2

4/5×=4

x= 4 / (4/5)

4/5x=6-2>>>4/5x=4

4/5x = 4>>>>>x=5

4/5x=0.8x

4/0.8=5

Answer x=5

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Given:

The product of 6 and the square of a number plus 15.

Required:

To write an expression by using the given information.

Explanation:

Let the number be x.

The square of this number =

The expression represents the product of 6 and the square of a number plus 15.

Thus the expression becomes:

We know that the coefficient is the number that is multiplied by the variable.

So the coefficient of

is 6.

Final Answer:

The expression is:

Coefficient = 6

Answer:

jfydyfugufhchghfufughgohidyxjvkvhfjcjzjxjcjcjfyfhfhfydfjcjcjcjfyxugkvuztdyicxy

Answer:

9

Step-by-step explanation:

Walking the dog and getting a call on your cell phone are independent events.

What are independent and dependent event?

Dependent events are those events that are affected by the outcomes of events that had already occurred previously. i.e. Two or more events that depend on one another are known as dependent events.

Independent events are those events whose occurrence is not dependent on any other event. If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

According to the given question:

Let walking the dog be event A and getting a call on your cell phone be event B.

Clearly event A and B are not related in any way.

Hence Walking the dog and getting a call on your cell phone is an independent event.

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The steam fitter gross pay when she works for 56 hours in a week is $1629.60

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

For amount of money earned for working above 40 hours in a week is:

Amount = 19.40x + 0.5(19.40)(x)

Where x is time. For 56 hours:

Amount = 19.40(56) + 0.5(19.40)(56) = $1629.60

The steam fitter gross pay when she works for 56 hours in a week is $1629.60

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The equation that represents the total cost of the membership will be y = 5x + 265.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

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

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,

y = 5x + 265

The equation that represents the total cost of the membership will be y = 5x + 265.

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Answer:

B, C, and F

Step-by-step explanation:

You can double check my answers and it'll make sense.

2 to the power of 4 means you multiply 2 by itself 4 times.

The answer of that would be 16.

4 x 4 also equals 16 so therefore those three answers are equivalent.

Answer:

a and c

Step-by-step explanation:

it says equivalent to

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

Here,

To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.

The formula for the confidence interval is given by:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

where:

Sample Mean (x) is the mean of the sample (12.1 units in this case).

Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.

For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).

Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.

Given the information in the problem:

Sample Mean (x) = 12.1 units

Sample Standard Deviation (s) = 1.5 units

Sample Size (n) = 45

Confidence Level = 95%

Critical Value ≈ 2.013

Now, let's calculate the standard error:

Standard Error = s / √n

Standard Error = 1.5 / √45 ≈ 0.2236

Now, calculate the confidence interval:

Lower bound of the confidence interval:

12.1 - (2.013 * 0.2236) ≈ 11.66

Upper bound of the confidence interval:

12.1 + (2.013 * 0.2236) ≈ 12.54

So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

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Answer:

id c hot  hf hdjhdw fhwjfehf v;e

Step-by-step explanation:

id c h

Answer:

2/3

Step-by-step explanation:

theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3