A salt mixture has 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
7 to 1
1 to 7
2 to 7
2 to 8

The circular is around 305 cm in circumeference.

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle.

Substituting d = 97 cm and using the value of π to be 3.14159, we get:

C = πd

C = 3.14159 × 97 cm

C ≈ 304.731 cm

Rounding this to 3 significant figures, we get:

C ≈ 305 cm

Therefore, the circumference of the circle is approximately 305 cm.

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Answer:

12

Step-by-step explanation:

Answer:

12

Explanation:

Trust!

Hope this helps! :)

f(x) is a linear function, so both the domain and the range are the set of real numbers.

Answer:

x < -4

-4 > x

Step-by-step explanation:

⇒ The graph shows that the x-values has to be less than -4 (also not including -4 too)

-This can be written as x < -4

-It also can be written as -4 > x because -4 has to be greater than x (also not including -4 too)

Hope this helps again! :)

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

5

Step-by-step explanation:

i) finite set, ii) infinite set, iii) infinite set, iv) infinite set, and v) finite set are the required solutions.

A Set is a collection of objects with similar properties. There are different types of set two of them are finite and infinite set.

Finite set- A set is called a finite set when the elements inside the set are countable or where we can know the starting and the ending of the elements. For example- A set of players in a cricket team.

Infinite set- A set is called an infinite set when the elements inside the set are uncountable or where the ending of the elements is not known. For Example- A set of positive numbers.

Here in the question the option (i) and (v) are finite sets because the no.of months in the year and no.of alphabets are countable or finite. Option (ii), (iii), and (iv) are infinite sets as no.of stars in the galaxy, even integers, and odd integers are uncountable.

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Answer:

the set of months in a year is finite

the set of star in the Galaxy is finite

the set of even integers is infinite

the set of odd integers is infinite

the set of alphabet is finite

Step-by-step explanation:

1) the set of month in a year is finite because they are limit and we can count them easily

2) the set of star in the galaxy is finite cause there are zillions of stars

3) the set of even integer is infinite because numbers are unlimit or infinite

4) the set of odd integers is infinite cause numbers are infinite ir they have not limit

5) the set of alphabet is finite because we can count them limitedly

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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Answer:

1272 dollars every year

Step-by-step explanation:

just divide the two numbers

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

The probability that the event will not happen is \(\frac{4}{17}\)

Step-by-step explanation:

The occurrence of an event can be divided into two parts, the event would occur or the event would not occur. But the probability of an event is 1.

From the given question;

The probability of the event = 1

The probability that the event will happen, P = \(\frac{13}{17}\)

Thus,

The probability that the event will not happen = probability of the event - probability that the event will happen

                                               = 1 - P

                                               = 1 - \(\frac{13}{17}\)

                                               = \(\frac{17 - 13}{17}\)

                                               = \(\frac{4}{17}\)

Thus, the probability that the event will not happen is \(\frac{4}{17}\).

a. Category with the greatest frequency is 20 - 24

b. 14 students

c. The percentage is 7%

Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.

From the information given, we have that;

a. The category with the greatest frequency is the one with most words spelt, we have;

20 - 24

b. The number of students that spelt 35 - 39 words is traceable to

14 students

c. If the total number of students is 200

Then, the percent of students in the 35 - 39 category is;

14/200 × 100/1

Multiply the values

7%

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Answer:

x = 100°

Step-by-step explanation:

because it is a vertical angle to 100°

Answer:

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There  is no significant difference between  their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given that the mean of the U.S residents  = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

Step(ii):-

Null hypothesis:H₀:

There  is no significant difference between  their counterparts across the nation

Alternative Hypothesis:-H₁:

There  is  a significant difference between  their counterparts across the nation

Test statistic

                \(t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)

               \(t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }\)

              t =  1.3788

Degrees of freedom

                ν = n-1  = 38-1 = 37

t₀.₀₅ ,₃₇ =    2.0262

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There  is no significant difference between  their counterparts across the nation.

Answer:

mass of reactants before reaction is equal to mass of (products) after

hope this helps and can i get brainliest i answered first

Step-by-step explanation:

Answer:

It would be = mass of products

Step-by-step explanation:

The total weight of the minimum spanning tree is 6 + 8 + 10 + 15 = 39.

To find the minimum spanning tree using Kruskal's Algorithm, follow these steps:

    4. Repeat step 3 until T is a spanning tree.

To find the total weight of the minimum spanning tree, simply add up the weights of the edges in the tree.

Here is an example of how to use Kruskal's Algorithm to find the minimum spanning tree for the following weighted graph (diagram attached below):

    4. T is now a spanning tree, so the algorithm terminates.

The minimum spanning tree is in the below attached diagram:

The total weight of the minimum spanning tree is 6 + 8 + 10 + 15 = 39.

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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From 100 to 80 is 8/10, so the recursive formula is

an=a(n-1)*1/8

or

an= a1*1/8(n-1)

an=a1*(n-1)/8

Ok, seriously, if you're in college and asking this you're seriously not smart.

Everytime Amber goes running she runs 1 mile.

She runs 4 times each week. How many miles does she run in one week.

Number of mile(s) ran in one session =  1 mile.

Number of running sessions in a single week = 4

Total distance covered = 1 x 4 = 4 miles.

Answer:

4

Step-by-step explanation:

he should have gotten 45 back

but he only got 33

so the DIFFERENCE is how much he got in batteries, how many packs? well 45−33 = 12   12÷3=4

James bought 4 packages of batteries if James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package

Let he buy x number of packages of batteries.

The cost of packages of batteries = 3x

The linear equation one variable can be framed:

33 + 3x = 45

3x = 45 - 33

3x  = 12

x = 4

Thus, James bought 4 packages of batteries if James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package.

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

1.05

Step-by-step explanation:

Because 30% of 70 is \(30\% \times 70 = \frac{30}{100} \times 70 = 0.3 \times 70 = 21\), so the question becomes "21 is what percent of 2000?"

To answer this, we can solve for \(x\) in the equation \(21 = x\% \times 2000\), which is:

\(21 = x\% \times 2000\\21 = \frac{x}{100} \times 2000\\21 = 20x\\x=\frac{21}{20}=1.05\)

So the answer is 1.05 percent.

Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

There is sufficient evidence to suggest that the mean board feet per tree has decreased since moving to the new location of timber.

According to the information,

Set up the following hypothesis test:

Null hypothesis: The mean board feet per tree is still 93.

Alternative hypothesis: The mean board feet per tree is less than 93.

Here,

We can use a one-sample t-test to test this hypothesis.

The test statistic can be calculated as:

t = (sample mean - hypothesized mean)/(sample standard deviation/square root of sample size)

⇒ t = (89 - 93)/(2/sqrt(25))

⇒ t = -5.00

The degrees of freedom for this test are 24.

Using a t-distribution table,

we can find the critical t-value for a one-tailed test with 24 degrees of freedom and a 10% level of significance.

The critical t-value is -1.317.

Since our calculated t-value (-5.00) is less than the critical t-value (-1.317), we can reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

13 glue sticks cost $25.22.

Step-by-step explanation:

4 blue sticks cost $7.76, this means that one glue stick costs

$7.76/4 = $1.94.

Let  be the cost of the glue sticks, and  be the number of glue sticks; then

We can use this equation to find the cost of 13 glue sticks; we just put  into our equation and it gives:

So 13 glue sticks cost $25.22.

Answer:

26?

Step-by-step explanation

because they are vertical? (i think the word) they are equal so set them equal to each other then solve for x

Answer:

Ok, "steeper than y = x^2" means that the function grows "faster" than y = x^2. and we can look at this by looking at the derivates, if the derivate is larger, then it is steeper.

The derivate of y = x^2 is: y´= 2x.

Now let's look at the other functions.

a) y = (1/2)*x^2

the derivate is:

y' = 2*(1/2)*x = x

this function is less steep than y = x^2

b) y = -x^2

the derivate is:

y' = -2x

So we have, in absolut value, exactly the same than for y = x^2.

The difference is that here the function decays instead of growing, so this is "less steep than y = x^2)

c) y = (2x)^2 = 4*x^2

the derivate is:

y´= 2*4*x = 8*x

this is steeper than y = x^2-

d) y = 2x^2

the derivate is:

y´= 2*2*x = 4x.

this is steeper than y = x^2

e) y = (x/2)^2 = (1/4)*x^2

the derivat is:

y' = (2/4)*x = (1/2)*x

so this is lees steep than y = x^2

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

your answer is 3 liters

Step-by-step explanation:

as he brought 12 boxes and 1 box=250 ml

so 250/1000=0.25 l this is a capity of 1 box in liters so you need to multply by 12 as there is 12 box so

0.25*12=3

so 12 boxes contain 3 liters of juice

Hope it helped you if yes so please make me the brainiest