A pharmacist wishes to mix a solution that is 4% Minoxidil. She has on hand 90 ml of a 1% solution and wishes to add some 6% solution to obtain the desired 4% solution. How much 6% solution should she add?

Answer:

Step-by-step explanation:

To convert a value to a z-score, you need to subtract the mean and divide by the standard deviation. Here is how to convert each value to a z-score:

a. x = 23: (23 - 25) / 3 = -0.67

b. x = 33: (33 - 25) / 3 = 2.33

c. x = 19: (19 - 25) / 3 = -1.67

d. x = 45: (45 - 25) / 3 = 6.67

Therefore, the z-scores are -0.67, 2.33, -1.67, and 6.67 for values a, b, c, and d respectively.

Step-by-step explanation:

there are several formulas that could play a role.

but in our case, where we have velocities and the deceleration, we are going to use

fV = iV + at

fV = final velocity (0 on our case)

iV = initial velocity (40 m/s in our case)

a = acceleration (-15 m/s² in our case)

t is the time it takes to reach fV.

0 = 40 + (-15)t = 40 - 15t

15t = 40

3t = 8

t = 8/3 = 2.666666666... seconds

so, it takes 2.6666666... or 2 2/3 seconds to bring the vehicle to a standstill.

Answer:

T(3) = 13

Step-by-step explanation:

If we are trying to find the 3rd term of this specific sequence, then we simply plug in 3 as n.

T(3) = (3)² + 4

T(3) = 9 + 4

T(3) = 13

However, this isn't proper notation for an arithmetic or geometric sequence.

Answer:

13

Step-by-step explanation:

T(n) = n² + 4

Put n as 3 to find the third term.

T(3) = (3)² + 4

Solve for the powers.

T(3) = 9 + 4

Add the terms.

T(3) = 13

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Answer:

  82 m²

Step-by-step explanation:

You want the area of the triangle with sides b = 13 m, c = 17 m, and the angle between them, A = 48°.

The relevant formula for the area is ...

  Area = 1/2(bc)sin(A)

  Area = 1/2(13 m)(17 m)sin(48°) ≈ 82.1175 m²

The area of the triangle is about 82 square meters.

Answer:

Ten

Step-by-step explanation:

5000/500 = 10

Answer: 10 times as many 5 hundreds

Step-by-step explanation: five times five hundreds equals 5,000

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

The expression that Katie uses is:

Where "s" is the amount saved, and "d" is the dollars earned by Katie.

We are asked to find the amount earned if she saved 24.80. Those 24.80 will be the value of "s":

The first step is to substitute s=24.80 into the given expression:

The next step will be to solve for "d", the amount earned, by dividing both sides of the equation by 0.4:

Katie earned 62 dollars.

Answer: 62

Answer:

• From trigonometry ratios:

\({ \boxed{ \rm{ \sin(A) = \frac{opposite}{hypotenuse} }}} \\ \)

\({ \rm{ \sin(A) = \frac{28}{35} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \sin(A) = \frac{4}{5} \: }}}}\)

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

Step-by-step explanation:

It should be noted that the power that the volunteers use to pushe the van is 200 watts.

From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.

It should be noted that power is calculated as:

Power = Force × Displacement / Time

Force = 1200 Newton

Displacement = 150 meters

Time = 15 minutes = 15 × 60 = 900 seconds.

Therefore, the power that the volunteers use to pushe the van is:

Power = Force × Displacement / Time

=(1200 × 150) / 900

= 200 Watt.

Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.

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The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.

The number of bean bags in the instructor's box is 68.

Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.

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Answer:

(-2,0)

Step-by-step explanation:

The factored expression of (x - 3)^2 - 64y^4 is given as follows:

(x - 3)^2 - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

The subtraction of perfect squares is a notable product that gives the simplification of an expression containing the subtraction of perfect squares as follows:

a² - b² = (a - b)(a + b).

In this problem, the expression is presented as follows:

(x - 3)^2 - 64y^4

This expression is a subtraction of perfect squares, as the terms are given as follows:

Then the expressions are given as follows:

Then the factored expression is presented as follows:

a² - b² = (a - b)(a + b).

(x - 3)² - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

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Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

Answer:

2

Step-by-step explanation:

This expression can be rewritten as

8

----

9

======

 4

 ---

  9

If we now invert the denominator fraction 4/9 and multiply the result, we get:

 8       9

----- * ----- = 2

 9       4

Answer:

Not sure but I think the answer is 129

Step-by-step explanation:

first, substitute the value of x in the expression like this

18(3*2+1)+3

after substituting, our work has made easier

18(6+1)+3

18(7)+3 or simply 18*7+3

126+3

129

Answer:

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

explanation:

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125

Answer:

x = -5

Step-by-step explanation:

Step 1: Write out equation

15x - 24 - 4x = -79

Step 2: Combine like terms

11x - 24 = -79

Step 3: Add 24 to both sides

11x = -55

Step 4: Divide both sides by 11

x = -5

Step 5: Check step

Plug in -5 into the original equation

15(-5) - 24 - 4(-5) = -79

-75 - 24 + 20 = -79

-99 + 20 = -79

-79 = -79

Answer:

x = -5

Step-by-step explanation:

15x - 24 - 4x = -79

11x - 24 = -79

11x = -55

x = -5

Check:

15 * -5 - 24 - 4 * -5

= -75 - 24 + 20

= -79

Answer:

B. Y = -3X

C. Y = 4 - 3X

Step-by-step explanation:

Y = -3X + 2

This is in the form y= mx +b where m is the slope

The slope is -3

Parallel lines have the same slope

A. Y = 1/3 X - 2   the slope is 1/3

B. Y = -3X   The slope is -3  

C. Y = 4 - 3X Y = -3x+4  the slope is -3

This is the answer. I hope it helps!

Answer:

$32378.416

Step-by-step explanation:

We are asked to find: Thirty percent of these graduating seniors owe more than what amount.

More than 30% = Finding the z score of the 70% percentile.

The z score = 0.524

Hence, using z score formula:

z = (x-μ)/σ

0.524 = x - $29,400/$5,684

0.524 × 5684 = x - 29400

2978.416 = x - 29400

x = 29400 + 2978.416

x = $32378.416

Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Data:

Sierra earns: $30 per day

Plus $5 for every sale she makes.

If you take x as the number of sales she makes you get the next equation for the eanrnings of one day (y):

As in thursday she wants to earn more than $60: y greather than 60:

Answer:

3.5

Step-by step

-2.5+6(6.5-(-2.5)/9

-2.5+6

3.5

The probability of not spinning red on either spin (not red on the first spin and not red on the second spin) is 1/12

The probability of an event is a number that indicates how likely the event is to do. It's expressed as a number in the range from 0 and 1, or, using chance memorandum, in the range from 0 to 100. The more likely it's that the event will do, the advanced its probability. The probability of an insolvable event is 0; that of an event that's certain to do is 1.

It is know to us that Probability (Red) = 3/6 = 1/2

also Probability (Blue) = 2/6 = 1/3

and Probability (CYAN) = 1/6, therefore,

a) Probability ( CYAN then red) =  1/6 x 1/2 = 1/12

b) Probability ( CYAN then Blue) =  1/6 x 1/3 = 1/18

c) Probability ( no Cyan on 2 spins) = (1/2+1/3) x (1/2+1/3) = 5/6 x 5/6 = 25/36

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Complete question:

The spinner below is spun twice. If the spinner lands on a border, that spin does not count and spin again. It is equally likely that the spinner will land in each of the six sectors.

REDREDREDBLUEBLUECYAN

For each question below, enter your response as a reduced fraction.

a) Find the probability of spinning cyan on the first spin and red on the second spin.

b) Find the probability of spinning cyan on the first spin and blue on the second spin.

c) Find the probability of NOT spinning cyan on either spin. (Not cyan on the first spin and not cyan on the second spin.)