Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.

What number should Selena put in the box?

Answer:

53

Step-by-step explanation: all angles of a triangle add up to 180

A right angle is 90 degrees, an obtuse angle is larger than 90 degrees and an acute angle is less than 90 Degrees.

The angle shown is smaller than 90 degrees so it is c. Acute

 We found the PMF f(x),  calculated the probability of selecting exactly one defective unit, and  determined the probability of selecting more than one defective unit.

To find the probability mass function (PMF) f(x) for the number of defective units, we need to determine the probability of each possible outcome.

Let's assume that the total number of units tested is n. Since it is mentioned that 2% of the units are defective, the probability of selecting a defective unit is 0.02.

The PMF f(x) can be calculated using the binomial distribution formula:
\(f(x) = C(n, x) * (0.02)^x * (0.98)^(n-x)\)

To find p(x=1), we substitute x=1 into the PMF formula:
\(f(1) = C(n, 1) * (0.02)^1 * (0.98)^(n-1)\)

This represents the probability of selecting exactly one defective unit when testing a batch of pedometers.

Similarly, to find p(x>1), we need to sum up the probabilities for x=2, x=3, and so on, up to x=n:
\(p(x>1) = f(2) + f(3) + ... + f(n)\)
This represents the probability of selecting more than one defective unit when testing a batch of pedometers.

To sketch the histogram, we can plot the values of x on the x-axis and the corresponding probabilities f(x) on the y-axis. Each bar's height represents the probability of selecting that many defective units.

In conclusion, we found the PMF f(x), calculated the probability of selecting exactly one defective unit, and  determined the probability of selecting more than one defective unit.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

$986.84

Step-by-step explanation:

exchange rate is the rate at which one currency is exchanged for another currency

Amount of dollars bought = amount of RS / selling rate

75,000 / 76 = $986.84

Answer:

y=(2/3) x+7

Step-by-step explanation:

2/3 is the slope which would be parallel

Answer:

24

Step-by-step explanation:

a square has 4 sides, which in this case are 6 feet long. to get the area you have to multiply the two numbers, which is 6 times 4.

Lines 'a' and 'c' are parallel lines.

We have to given that,

There are three lines are shown in image.

We know that,

In a parallel line,

If two angles are alternate angles then both are equal to each other.

And, If two angles are corresponding angles then both are equal to each other.

Now, From the given figure,

In lines a and c,

Corresponding angles are 65 degree.

Hence, We can say that,

Lines a and c are parallel lines.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ1

Answer:

t-5=12

Step-by-step explanation:

Answer:

  a) 56.25 mph

  b) $1.59/lb

Step-by-step explanation:

The units of the "unit rate" tell you the math operation you need to perform.

Miles per hour (mi/h) is found by dividing miles by hours.

  (450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h

Dollars per pound ($/pound) is found by dividing dollars by pounds.

  ($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound

__

Additional comment

In the context of unit rates, "per" means "divided by."

What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.

\( \huge \bf༆ Answer ༄\)

The distance between points can be solved using Distance formula (similar to Pythagoras theorem)

\( \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}\)

Put the values : -

Distance between the points = 3√13 units

\(꧁ \: \large \frak{Eternal \: Being } \: ꧂\)

Answer:

If you are trying to find the line, simply use a graph.

Step-by-step explanation:

Answer:

Q1. A

Q2.C

Q3.C

Q4.D

Q5.C

Q6.D

Q7.C

Q8.D

Q9. A

Q10.D

Q11.B

Q12.B

Q13.A

Q14.A

Q15.C

Q16.C

Q17.B

Q18.D

Q19.A

Q20.B

Q21. A

Q22.B

Q23.D

Q24.C

Q25. A

Step-by-step explanation:

Solution

Given that cos θ= 3/5 and cot x < 0, then tanθ = ?

Using trigonometric function and angle

USING PYTHAGORAS therorem

Tanθ = opposite/adjacent

Answer:

666,000

Step-by-step explanation:

18000

×37= 666,000

The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

a) The differential equation expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is suffering from Warfarin  is given a pill containing 2.5 mg of Warfarin then,

dQ/dt = -kQ
here Q(0) = 2.5

b) The differential equation the expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin  is given a pill containing 0.5 mg/hr then,

dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

To learn more about differential equation,
https://brainly.com/question/1164377
#SPJ4

The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:

Q' = 0.5 - kQ, where Q(0) = 0

Where k is the proportionality constant for the rate of elimination.

Explanation

(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:

Q'(t) = -kQ(t)

Given that the initial condition is a 2.5 mg pill, the initial condition should be:

Q(0) = 2.5

So the differential equation for part (a) is:

Q'(t) = -kQ(t), Q(0) = 2.5

(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:

Q'(t) = 0.5 - kQ(t)

The initial condition is still that the patient has no warfarin in her system:

Q(0) = 0

So the differential equation for part (b) is:

Q'(t) = 0.5 - kQ(t), Q(0) = 0

To learn more about differential equation : brainly.com/question/14620493

#SPJ11

Answer:

48

Step-by-step explanation:

The area is multiplying.

12 x 4 = 48

Hope It Helps

Sorry If I'm Wrong

Answer:

The given data is,

→ the ratio of cups of water to cups of milk in a recipe is 1 to 5

Now we have to,

→ find three ratios equivalent to the ratio

Then the ratios will be,

→ 1 (×2) : 5 (×2)

= 2 : 10

→ 1 (×3) : 5 (×3)

= 3 : 15

→ 1 (×4) : 5 (×4)

= 4 : 20

Thus, 2 : 10, 3 : 15 & 4 : 20 are the ratios.

The y-intercept is (0, -20) and the x-intercept is (20, 0).

what is an algebraic expression?

An algebraic expression is a mathematical phrase consisting of variables, numbers, and mathematical operations. It can include variables (such as x, y, or z), constants (such as 2, 3, or 4), and operators (such as +, -, *, or /) that combine these elements.

For example, 2x + 3y - 4 is an algebraic expression that contains the variables x and y, the constants 2, 3, and 4, and the operators + and -. It does not contain an equal sign and does not represent an equation, but it can be simplified or evaluated for specific values of the variables. Algebraic expressions are commonly used in algebra and other branches of mathematics to represent mathematical relationships and solve problems.

The given equation is y = -32 + 12.

To find the y-intercept, we set x = 0 and solve for y:

y = -32 + 12

y = -20

So the y-intercept is (0, -20).To find the x-intercept, we set y = 0 and solve for x:

0 = -32 + 12

20 = x

So the x-intercept is (20, 0).

Therefore, the y-intercept is (0, -20) and the x-intercept is (20, 0).

To learn more about algebraic expression from the given link  

https://brainly.com/question/953809

#SPJ1

Using the Method of Undetermined Coefficients, the solution to the initial value problem (IVP) y" + (b + 2)^2 y = x sin (b + 2) x, with the initial conditions y(0) = c + 1 and y'(0) = d - 1, can be found.

The Method of Undetermined Coefficients is a technique used to solve non-homogeneous linear differential equations with constant coefficients. In this case, the given differential equation is y" + (b + 2)^2 y = x sin (b + 2) x. To find a particular solution, we assume a form that matches the non-homogeneous term. Here, the non-homogeneous term is x sin (b + 2) x, so we assume a particular solution of the form y_p = A x^2 + B x + C sin (b + 2) x + D cos (b + 2) x.

By substituting the assumed solution into the differential equation, we get y_p" + (b + 2)^2 y_p = x sin (b + 2) x. Differentiating y_p and plugging it back into the equation, we can determine the values of the coefficients A, B, C, and D.Next, we consider the complementary solution, which satisfies the homogeneous equation y" + (b + 2)^2 y = 0. The characteristic equation associated with the homogeneous equation is r^2 + (b + 2)^2 = 0, which has complex roots. Therefore, the complementary solution takes the form y_c = e^(0t)(A' cos ((b + 2)t) + B' sin ((b + 2)t)), where A' and B' are arbitrary constants.

Combining the particular solution and the complementary solution, we obtain the complete solution as y = y_p + y_c. To find the values of the constants A', B', A, B, C, and D, we can use the initial conditions y(0) = c + 1 and y'(0) = d - 1. By substituting these values and solving the resulting system of equations, the specific solution to the IVP can be determined.

To learn more about coefficients click here : brainly.com/question/13431100

#SPJ11

Answer:

9. x = 5

10. m∠Y = 34°

Step-by-step explanation:

9.

Remember that congruent sides have congruent angles as well. That means 9x + 1 will be shown up in our equation twice. And as always, all angles in a triangle add up to 180.

2(9x + 1) + 88 = 180

18x + 2 + 88 = 180

18x + 90 = 180

18x = 90

x = 5

10.

The same concept applies here in question 10. Congruent angles and sides match each other. Therefore,

Step 1:

6x - 23 = 4x + 9

2x - 23 = 9

2x = 32

x = 16

Step 2:

Now that you have found x, plug it back into the given equations and find the other angle.

6(16) - 23 = 73

4(16) + 9 = 73

180 - (73)(2) = 34

Answer:

x = 6

∠PQR = 29

Step-by-step explanation:

Sum of interior angles in a triangle is 180,

15x - 4 + 4x + 5 + 65 = 180

15x + 4x + 5 - 4 + 65 = 180

19x + 1 + 65 = 180

19x + 66 = 180

19x = 180 - 66

19x = 114

x = 114 / 19

x = 6

∠PQR = 4x + 5

Substitute x = 6,

∠PQR = 4 ( 6 ) + 5

          = 24 + 5

∠PQR = 29

Answer:

\(\displaystyle m=2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, 0)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Circle 1

28.269 ÷ 9 = 3.141

Circle 2

25.126 ÷ 8 = 3.14075

Circle

37.686 ÷ 12 = 3.1405

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

The project's early start date is 34 (since it is the latest early finish of all the activities' predecessors). In project management, "ES" refers to the early start date. To determine the project's early start, the following formula is used: Early Start (ES) = Latest Early Finish (LEF) of all the predecessors.

Project TX55's early start date will be determined using this formula.

Let us first determine the early finish (EF) for the given activities.

For activity D, we have:

EF(D) = ES(D) + Duration(D)

= 35 + 12

= 47

For activity E, we have:

EF(E) = ES(E) + Duration(E)

= 47 + 13

= 60

For activity F, we have:

EF(F) = ES(F) + Duration(F)

= 34 + 15

= 49

Since none of these activities have any predecessors, their early start dates will be equal to their early finish dates. Therefore, the early start for Activity D is ES(D) = 35

The early start for Activity E is ES(E) = 47

The early start for Activity F is ES(F) = 34

Therefore, the project's early start date is 34 (since it is the latest early finish of all the activities' predecessors).

To know more about project management, refer

https://brainly.com/question/16927451

#SPJ11

Answer:

yes it is a 0 is not a value if its infront of an answer

Step-by-step explanation:

Most psychological research is undertaken with the hope of discovering the ultimate truth.

What is the main purpose of hypothesis testing?

What is null and alternative hypothesis?

What is null hypothesis in research?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Learn more about  null hypothesis

brainly.com/question/19263925

#SPJ4

The probability that at least one of the next three babies is a boy is 0.875.

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

Probability of the complement of event B:

The probability of the complement of event B is computed as follows:

P(B* )=1-P(B) P(B)=14(1-(0.5x0.5)) = 0.25

The probability of the complement of event B is B) 0.25.

Probability that at least one of the next three babies is a boy:

The probability that at least one of the next three babies is a boy is computed as follows:

at least one of the next three babies is a boy =1-(0.5x0.5x0.5) =1-0.125 = 0.875

The probability that at least one of the next three babies is a boy is D) 0.875.

learn more about probability here :

brainly.com/question/11234923

#SPJ4