What is the slope of linear relationship?
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A. 1/4
B. -4/1
C. 4/1
D. -1/4​

Answer: 43

Step-by-step explanation:

Let's start with what we know about triangles which is that the sum of the angles in a triangle = 180. So far, we have one angle at 79 and another at 58, when adding them up: 79 + 58 = 137.  Then we do 180 - 137 = 43.

So x = 43.

Answer:

I believe A...

Step-by-step explanation:

Sorry if i'm wrong):

Option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

If three times a number is at least four or more than eight times the number,

Let x be the number

Mathematically, it can be written as:

3x is at least 4 + 8x

3x - 8x is at least 4

- 5x is at least 4

x is at least -4/5

Thus, option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.

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Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

no

Step-by-step explanation:

12x-20x=-8x

so it would be -8x>-40

and you would divide both sides by -8

and get x<5

Answer:

x < 5

Step-by-step explanation:

12x > 10(2x - 3) - 10 ← distribute parenthesis and simplify right side

12x > 20x - 30 - 10

12x > 20x - 40 ( subtract 20x from both sides )

- 8x > - 40

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < 5

Answer: 1.4 pi, and pi/180

Step-by-step explanation:

b)

this is a negative angle; It is also less than 0.5pi, (pi/2, which is the border of the first quadrant). therefore the reference angle is just the positive version:

so 1.4pi is the reference angle

c)

pi/180 is already in the first quadrant. so pi/180 would be the reference angle.

Step-by-step explanation:

Using BODMAS rule

[3x+12+x] = [4(3+x)]

[4x+12] = [12+4x]

Parentheses 1 = Parentheses 2

LHS = RHS

HENCE PROVED

The question is incomplete. The complete question is :

Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision.

\($\{ x^5, x^5-1,3 \} \text{ on } (- \infty, \infty)$\)

Solution :

Given :

Function : \($\{ x^5, x^5-1,3 \} \text{ on } (- \infty, \infty)$\)

We have to determine whether the given function is linear dependent or linearly independent for the interval \($(-\infty, \infty)$\).

The given function are linearly dependent because for the constants, \(c_1\) and \(c_2\), the equation is :

\($c_1x^5 + c_23 = x^5-1$\)  has the solution \($c_1 = 1$\) and \($c_2 = -\frac{1}{3}$\)

Therefore,

\($1x^5 + \left(-\frac{1}{3}\right)3 = x^5-1$\)

Answer:

Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing ...

-by-step explanation:

Answer: 15268.1403 unit^3 (unit: cm,m,mm)

Step-by-step explanation:

volume of a cone= 1/2*pi*r^2*h

r= radius (unit: cm,m,mm)

h= perpendicular height (unit: cm,m,mm)

volume= 1/2*pi* (9)^2* 120 = 15268.1403 unit^3

Answer:

D. Omar's transaction involves more money, because |-15| is greater than |10|.

Step-by-step explanation:

The absolute value of a number is simply the magnitude or numerical value of a number while ignoring any sign attached to it. For example, given that x is a real number, absolute value of x, |x| = x. The absolute value of x does not take account of any sign attached to it.

Thus:

The absolute value of Omar's transaction is given as |-15| = 15.

While that of Jake is |10| = 10.

15 is greater than 10.

Therefore, we can conclude that:

"Omar's transaction involves more money, because |-15| is greater than |10|."

Answer:

The answer is D

Step-by-step explanation:

Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.

Generally, Let's call the number of marshmallows that Kimberly had at first X.

We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.

After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.

We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so

(X - 15) = 3 * (X/2 - 15).

(X - 15) - 3 * (X/2 - 15) = 0

Then, we can simplify the left side of the equation:

X - 15 - 3 * X/2 + 45 = 0

Combining like terms, we get:

-3 * X/2 + X - 15 + 45 = 0

Simplifying further:

-X/2 =-30

X = 60

Therefore, Kimberly had 60 marshmallows at first.

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Answer:

The square at angle EOG represents a right angle, meaning the angle there is 90 degrees.

Thus,

\(3y+27=90\)

\(3y=63\)

\(y=21\)

The angles on a straight line add up to 180 degrees.

Therefore,

\(x+90+8x+18=180\)

\(9x+108=180\)

\(9x=72\)

\(x=8\)

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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The length of the side JH in the triangle ΔHIJ is 97.9.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are H, I, and J. The triangles ΔEFG and ΔHIJ are similar to each other. The lengths of the sides FG, GE, and IJ are 12, 25, and 47, respectively. We need to find the length of the side, JH. The figure of the triangles is attached below.

Let the length of the side JH in the triangle ΔHIJ be represented by the variable "x". The side IJ is proportional to the side FG. Let the constant of proportionality be "k".

IJ ∝ FG

IJ = k*FG

k = IJ/FG

k = 47/12

The side JH is proportional to the side GE.

JH = k*GE

x = (47/12)*25

x = 97.9

Hence, the length of the side JH is 97.9 units.

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Answer:

m

Step-by-step explanation:

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

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In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Answer:

Not likely

Step-by-step explanation:

0.0 -- 0.32 = Not likely

0.33 -- 0.66 = Neither likely or unlikely

0.67 -- 1.0 = Likely

Hope this helps. Have a nice day.

Answer:26% {not likely}

Step-by-step explanation:

0.26 move the decimal over 2 times = 26%

40 and less let it rest 50 and more raise the score.

Answer:

Simple Interest: A=P(1+rt)

A=15000(1+(0.1*4.2))

A=$21,300

Compound Interest:A=P(1+r/n)^nt

A=15000(1+0.1/4.2)^1*4.2

A=$64,500

Step-by-step explanation:

Answer:

triangular prism

Step-by-step explanation:

A triangular prism has 3 rectangular sides and 2 triangles as the base

The answer is : Triangular, Prism

Have a great day!

God bless you!

Answer:

S(t) = -13sin(t) -3cos(t)

Step-by-step explanation:

a(t) = 13 sin(t) + 3 cos(t)

The above is the acceleration if the moving particle.

To determine it's position at any given time we integrate the expression with respect to t to find the distance Expression and then solve

The integral will be a double Integral .

a(t) = 13 sin(t) + 3 cos(t)

First integral

V(t) =-13cos(t) +3sin(t)

Second integral

S(t) = -13sin(t) -3cos(t)

So to determine the position if the particle the expression will be used

Answer:

75/100 expressed in the simplest fraction is 3/4.

Step-by-step explanation:

Answer:

\( \frac{3}{4} \)

Step-by-step explanation:

75/25=3

100/25=4

I don't know I'm sorry (◞‸◟ㆀ)

Answer:

The answer is 2

Step-by-step explanation:

Edge 2021