4. Solve the equation using square roots.
x2 + 10 = 9

Answer:

A. 7.5%

B. 68.26%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 52.5 mm and a standard deviation of 2.5 mm.

This means that \(\mu = 52.5, \sigma = 2.5\)

A. Less than 48.9 mm

The proportion is the pvalue of Z when X = 48.9. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{48.9 - 52.5}{2.5}\)

\(Z = -1.44\)

\(Z = -1.44\) has a pvalue of 0.075

0.075*100% = 7.5%, which is the answer.

B. Between 49 and 55

The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So

X = 55

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55 - 52.5}{2.5}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413

X = 49

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{49 - 52.5}{2.5}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26%, which is the answer.

The percent of the butterflies had the given wingspans are;

A) 7.5%

B) 76.64%

We are given;

Population mean; μ = 52.5 mm

Population standard deviation; σ = 2.5 mm

Formula for z-score is;

z = (x' - μ)/σ

A) For less than 48.9 mm,P(X' < 48.9);

z = (48.9 - 52.5)/2.5

z = -1.44

From online p-value from z-score calculator, we have;

P(X' < 48.9) = 0.075 or 7.5%

B) For x' between 49 and 55, P(49 < X < 55)

At x' = 49;

z = (49 - 52.5)/2.5

z = -1.4

Z-score at x' = 55;

z = (55 - 52.5)/2.5

z = 1

From online p-value from z-score calculator, the p-value between the two z-scores is;

p = 0.7664 or 76.64%

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*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.

========================================================

Explanation:

There are n = 9 letters in the word "PEPPERONI"

If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.

However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240

Por lo tanto, el precio original del abrigo era de 72€

Para resolver este problema, primero debemos determinar el precio original del abrigo antes de las rebajas.

Sea x el precio original del abrigo.

Después de aplicar la primera rebaja del 40%, el precio del abrigo sería:

x - 0.4x = 0.6x

Luego, tras la subida del 30%, elprecio se incrementaría al 130% del precio anterior:

1.3(0.6x) = 0.78x

Sabemos que este precio final es de 56,16€, por lo que podemos resolver la ecuación:

0.78x = 56.16

x = 72

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Answer:

he earns about 120 bucks a week

Step-by-step explanation:

There are 168 hours in a week and, so if the hours in 5970 divided by 50 equals 119.4 (possibly irrelevant) but if he gets paid 5970 per year and works 0.57 hours per day (40 divided by 24) and works about 1.666_ days a week than that would equal 120.85

Answer:

10 1/2 cube Unites

Step-by-step explanation:

in volume you multiply them

5×1×4÷2=10

Answer:

No

Step-by-step explanation

8 oz per cup meaning 40oz in 5 paper cups

6 oz per paper cup meaning 36 oz in 6 paper cups

Answer: A = 3

Step-by-step explanation:

4x-2=10

4x=12

x =12/4

x=3

Answer:

True mate

Step-by-step explanation:

The  budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.

Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.

Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.

Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.

Therefore, it can be concluded that option 2nd is correct.

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The required area of the parallelogram is 36√2 square units.

To find the area of the parallelogram, we can use the formula:

Area = base x height

where the base is one of the sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side.

First, we need to find the length of one of the sides of the parallelogram. Let's take RS as the base.

RS = √[(2-(-4))² + (6-4)²] = √(6² + 2²) = √40 = 2√10

Next, we need to find the height of the parallelogram corresponding to the base RS. To do this, we need to find the distance between the line RS and the point T.

The equation of the line RS can be found using the slope-intercept form:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line, and m is the slope of the line. Let's take R(-4, 4) as the point on the line. The slope of RS can be found as:

m = (6 - 4) / (2 - (-4)) = 1/3

Using point-slope form, the equation of RS is:

y - 4 = 1/3(x - (-4))

Simplifying, we get:

y = x/3 + 16/3

To find the distance between the line RS and point T(6,2), we need to find the perpendicular distance between T and the line RS. We can use the formula for the distance between a point and a line:

distance = |ax1 + by1 + c| / √(a² + b²)

where a, b, and c are the coefficients of the equation of the line in the standard form (Ax + By + C = 0), and (x1, y1) is the point.

Converting the equation of RS to the standard form, we get:

-2x + y - 8 = 0

Using this equation, we can find the distance between T and RS as:

distance = |(-2)(6) + (1)(2) - 8| / √((-2)² + 1²)

= 18/√5

the area of the parallelogram is:

Area = base x height = RS x distance between T and RS = 2√10 x 18/√5 = 36√2 = 36√2 square units.

So the area of the parallelogram is 36√2 square units.

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Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation:

will this help

First, lets see what info we have. The proyectile formula is:

Where v0 is the initial velocity and h0 is the initial speed.

The initial speed is 210ft per second, and since the arrow is shot from ground level, h0 = ft

Thus, the proyectile formula is:

And now we want to find the time the arrow is at 166 ft. This means we want h = 166ft

We write:

And now we can use the quadratic equation. For a quadratic equation of the form:

The solutions are:

In this case:

a = -16

b = 210

c = -166

We write:

Thus the arrow goes up to 166ft after 0.84 seconds, and then once again (in it's path down) at 12.28 seconds

The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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Answer: f(x^2) = x^2 - 5

Answer:

A. 6.466

B. 6

C. 5

D. 30 nominations

Step-by-step explanation:

A. The mean is all of the numbers added together, and divided by how many numbers there are, so take all of the numbers, which end up being added up to 97, and then divide by 15, because that´s how many numbers there are, you end up getting 6.46666 and you round it to 6.466

B. The median is when you take all of the numbers and put them into order, and then find the number in the exact middle of all of the numbers, so the numbers were 4 5 5 5 5 5 5 6 6 7 7 8 8 9 12, the middle number was 6

C. The mode is the number that appears the most, and that would be 5

D. The most reccuring number is 5, and if you take that and multiply it by how many times it is shown, 6, you get 30

I hope this helps!

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

1/24

Step-by-step explanation:

Put 0.0416(For the 6, put in the recurring dot by doing shift and pressing x^2)

The calculator will then give you the fraction (if not click s arrow d).

The equivalent value of the fraction is A = 1/24

Given data ,

Let the fraction be represented as A

Now , the decimal number is given as

n = 0.041666666..

The decimal number is non-terminating , which indicates that the number si irrational

And ,

10000n = 416.666...

Simplify the fraction by dividing both sides of the equation by the greatest common divisor (GCD) of the numerator and denominator

On simplifying the equation , we get

A = 1 / 24

The simplified form of the fraction is A = 1/24

Hence , the fraction is A = 1/24

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====================================================

Explanation:

Here's our sample space

{1,2,3,4,5,6,7,8,9,10}

This is the set of all possible outcomes.

We see that {1,3,5,7,9} are odd. We have 5 odd numbers out of 10 total. The probability of getting an odd number is therefore 5/10 = 1/2. Let A = 1/2 as we'll use it later.

After we select the first card and put it back (or replace it with a copy), the stack of cards is the same as before we made that first selection. So the sample space hasn't changed. The set of values greater than 7 is {8,9,10}. We have 3 items in here out of 10 total. The probability of getting a value larger than 7 is 3/10. Let B = 3/10.

Multiply the values of A and B to get the answer

A*B = (1/2)*(3/10) = 3/20

This represents the probability of getting an odd number on the first selection, and a second card that is larger than 7. This only applies if a replacement is made on the first card. Otherwise, 3/10 would be different.

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

Answer:

7.11, 7.1, 1.7, 1.17

Step-by-step explanation:

we have to start with the number that has the greatest value

what is left of the decimal point is the whole value so

7. something is greater than 1.something

we can rewrite the numbers so all will have two decimals

7.1 is the same as 7.10 , and 1.7 is the same as 1.70

7.11 is greater than 7.10 is greater than 1.70 is greater that 1.17

Answer: it's c

n = 1

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67

Using an online regression calculator ; the regression equation obtained is :

ŷ = 2.0927X + 0.6029

X = independent variable

Y = predicted variable

2.0927 = slope

0.6029 = intercept

B.) temperature = 25

ŷ = 2.0927(25) + 0.6029

= 52.9204

C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient

0.8785² = 0.7718

D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator

Answer:

Addition Property of Equality If AB = CD then AB + BC = BC +CD

Subtraction Property of Equality If AB + BC = BC + CD then AB = CD

Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180

Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90

Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180

Distributive Property AB + AB = 2AB

Reflexive Property m∢B = m∢B

Symmetric Property If AB + BC = AC then AC = AB + BC

Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

Segment Addition Postulate If C is between B and D, then BC + CD = BD

Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC

Linear Pair Postulate If two angles form a linear pair, then they are supplementary

Definition of Right Angle If ∢B is a right angle then m∢B = 90

Definition of Midpoint If P is the midpoint of segment AB then AP =PB

Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB

Definition of Perpendicular Lines If two lines are ⊥ they form right angles

Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD

Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B

Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD

Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90

Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180

Step-by-step explanation:

Answer:

I think the amswer is C not 100% shere

Step-by-step explanation:

The system of inequalities that defines how many of each you can take is: C≥12,E≥6,C+E≤26. Option A

The questions says that you must take at least 12 core credits

let core courses be = C

This tells us that C has to be greater than or equal to 12

C ≥ 12

Then it says that you must take at least 6 electives as well. This would be represented in the same way.

E = elective

E ≥ 6

Lastly, it says that you can take no more than a total of 26 credits

Hence your credit has to be 26 in number or less.

This would be written as C + E ≤ 26

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Complete question

To graduate you must take at least 12 core credits and 6 electives credits and you can take no more than a total of 26 credits. Write a system of inequalities that defines how many of each you can take.

C≥12,E≥6,C+E≤26

C+E≥18,C+E≤26

C+E≥18,C+E<26

C≤12,E≤6,C+E≤26

Answer:

A   20°

Step-by-step explanation:

Explanation:-

Given graph

The corresponding angles are congruent (equal to each other)

(x+60)° = 4 x°

x + 60 = 4x

4x-x = 60

3x =60

x = 20°

The value of x=20°

Answer:

Step-by-step explanation:

Formula: A=πr2

3.14 x 17^2 = 907.46 in2