Divide.
(4x²-24x+15)÷(x−5)
Your answer should give the quotient and the remainder.

Answer:

100

Step-by-step explanation:

60*2=120

10 seats taken up on 2 buses=20

120-20=100

Answer:

the last one (100) 60+60 equals120 10+ 10 equals 20 120-20 equals 100

Answer:

Approximately 68%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1, standard deviation = 0.05.

Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.

0.95 = 1 - 0.05

1.05 = 1 + 0.05

So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.

68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation\)

Given that:

μ = 1, σ = 0.05

\(For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1\)

P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%

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Given:

6(y + 4)

Let's find the equivalent expression.

To find the equivalent expression, apply distributive property.

Distribute 6 to the numbers in the parentheses.

We have:

6(y + 4)

= 6(y) + 6(4)

= 6y + 24

Therefore, the equivalent expression is: ^

Answer:

cant really see it

Step-by-step explanation:

writing the linear equation can be used by any any of those coordinates that are given

y - y1 = m(x - x1)

m = Gradient

m = y - y1 / x - x1

Where:

(-7, 1) = (x, y)

(-3,  9) = (x1, y1)

m = (1 - 9) /( -7 + 3)

m = -8/- 4

m = 2

Inputing this into our point slope form equation : y - y1 = m(x - x1)

We have:

y - 9 = 2(x + 3)

Therefore, Option D is the correct option

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Answer:

Step-by-step explanation:

how dare youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu

Answer:

(0.9464,1.034)

Step-by-step explanation:

First find the mean μ of all values as;

(0.95+1.02+ 1.01+ 0.98 ) /4 =0.99

μ=0.99

Find the standard deviation as;

-For each value subtract the mean and square the results

0.95-0.99 = -0.04 , -0.04² = 0.0016

1.02-0.99= 0.03, 0.03²=0.0009

1.01-0.99= 0.02, 0.02²= 0.0004

0.98-0.99 = -0.01, -0.01²=0.0001

Find mean of squared deviations as;

(0.0016+0.0009+0.0004+0.0001)/4 =0.00075 ----variance

Standard deviation = √0.00075 = 0.0274

δ = 0.0274

n=4

Thus n< 30 , confidence interval for μ = x ± t*δ/√n ---------(i)

Degree of freedom (df) = n-1 =4-1 =3

The t value for 95% confidence with df= 3 is t=3.182

Substituting the values in equation (i)

0.99 ± 3.182 * 0.0274/√4

0.99 ± 3.182 * 0.0274/2

0.99 ± 3.182 * 0.0137

0.99 ± 0.0436

(0.9464,1.034)

Hope it helps...

Have a great day :P

The equations for each situation is A = 200 + 30t and B = 100 + 50t. Cost of each company would be same for 5 hours of landscaping.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let t represent the hours taken for landscaping.

Let A represent the amount Company A would charge for t hours of landscaping, and let B represent the amount Company B would charge for t hours of landscaping.

Company A charges $30 per hour and a $200 equipment fee.

Total amount charged for t hours = 200 + 30t

A = 200 + 30t

Company B charges $50 per hour and a $100 equipment fee.

Total amount charged for t hours = 100 + 50t

B = 100 + 50t

Cost of each company would be same, when,

A = B

200 + 30t = 100 + 50t

30t - 50t = 100 - 200

-20t = -100

t = 5

Hence each of the equation is A = 200 + 30t and B = 100 + 50t and the cost would be same when t = 5 hours.

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Triangles PQR and LMK are not similar. Thus none.

Two or more triangles are said to be similar if on comparing their corresponding properties, some common relations holds. One important relation is the scale factor that relates one triangle with the other.

In the diagram given, we have;

scale factor = LK/ PR

                   = 18/ 10

scale factor = 1.8

But this scale factor can not be used to determine the side LM correctly.

That is,

LM ≠ 1.8*8

LM ≠ 14.4

since LM = 13

Therefore, it can be deduced that triangles PQR and LMK are not similar. Thus none.

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Answer:

its 10 inches

Step-by-step explanation:

Answer: 62.5

Step-by-step explanation:

you do the base times the area which is 25x5=125 and then do half of 125 which is 62.5

Answer:

Step-by-step explanation:

-4x-3=y

Answer:

y=10 x=30

Step-by-step explanation:

3x=90

x=30

2(30)+3y=90

60+3y=90

3y=30

y=10

Answer:

y= 10

Step-by-step explanation:

we have to find x first

∠ABD= 90° because its a right angle

3x°=90°

divide by on both sides

x= 30°

∠CBD must equal 90° degrees as well because a line is 180°

60+3y= 90

-60

3y=30

/3

y= 10

Answer:

Step-by-step explanation:

Answer:

x = 9  or  x = -9

Step-by-step explanation:

x² - 4 = 77

then

x² - 4 + 4 = 77 + 4

then

x²  = 81

then

x² - 81 = 0

then

x² - 9² = 0

then

(x - 9)(x + 9) = 0

then

x - 9 = 0  or  x + 9 = 0

then

x = 9  or  x = -9

__________________________

:)

Answer:

a)

slope = (-4 cm) / (650 cm)

slope ≈ -0.00615

b)  the section of the road measured horizontally is approximately 3983.74 cm long.

Step-by-step explanation:

change in horizontal distance = (change in vertical distance) / slope

change in horizontal distance = (-24.5 cm) / (-0.00615)

change in horizontal distance ≈ 3983.74 cm

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

Minimum, x = -1,  (-1,4)

Step-by-step explanation:

Respond if you need an explanation

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of depression increases.

the arc formed as the line of sight drops from the horizon. The angle of depression is the angle formed when an object is perceived below the observer's height between the horizon and the line of sight of the observer. The depression angle is the angle formed between the line of sight looking down at the object and the horizontal line of sight. If you are on a hill or a building and you are looking down at something, you can tell the slope. To measure these angles, a theodolite or an inclinometer might be employed.

As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of the depression increases.

∠x = 65° ≤ ∠XYZ

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Answer:

d the last one 3 and -3 pls brainlist

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

See photo below

Credit goes to: calculatorsoup.com

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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From the given data in the study of texting speed, we can identify the following

1)

a) population; is all the individuals belonging to the age group of 18-22 years

b) sample; is the selected 45 adults in the age group of 18-22 years

c) unit / individual: adults

d) Response: time taken to write "hi! what's up?"

2)

It is a continuous variable as it can take an infinite number of possible values.

variables measured by the ratio scale of measurement have equal differences between scale values and equal quantitative meaning. They also have a true zero point

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Answer:

The answer is "1035.76 miles"

Explanation:

The aircraft flies at 120 mph for 1.5 hours at a \(10^{\circ}\) bearing, then flies at the very same speed at \(100^{\circ}\) bearings for 8.5 hours.

However an angle of \(100-10 = 90^{\circ}\) between displacements

First shifts\(= 1.5 \times 120 = 180\ miles.\)

Second shift \(= 8.5\times 120 = 1020\ miles.\)

These two shifts are at \(90^{\circ}\) and therefore the final shift is:

\(\to \sqrt{180^2+1020^2}=1035.76 \ miles\)

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

Answer:

65.69o+444.85≤500

Step-by-step explanation:

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

2,4 3,5

Step-by-step explanation:

Answer:

The original price is 70.77

But I'm not sure

Step-by-step explanation:

71.86 - 1.09= 70.77$

Answer: i don’t know

Step-by-step explanation:

Answer:34

Step-by-step explanation: