What is the equation of the line in slope-intercept form that is perpendicular to the line y=3/4x-2 and passes
through the point (-12, 10)?
Oy=-4/3-6
O y=-4/3x + 6
O y = 4/3x + 26
O y = 4/3x +10

Answer:

a

Step-by-step explanation:

the pythagorean theorem suggests it

Answer:

Step-by-step explanation:

side a = 10

Area of isosceles triangle = [tex]\frac{\sqrt{3}a^{2}}{4}\\\\[/tex]

           = [tex]\frac{\sqrt{3}*10*10}{4}\\\\=\sqrt{3}*5*5\\\\=25\sqrt{3}\\\\=25*1.732[/tex]

             = 43.3 square units

Answer:

Infinate

Step-by-step explanation:

The normal distribution is dependent on the standard deviation and what the value of the mean is. But this then implies that a different standard deviation or a different mean leads to a different normal distribution. Making there many possibilities for normal distributions.

There are infinitely many possibilities for normal distributions as there are indefinitely many values possible for both the mean and standard deviation.

Answer:

a) P(X>4)=e-4*4.5 =1.523*10-8 ~ 0.0000

b) 1/4.5 =0..2222 Hours

c) P(X>6|X>4) =P(X>2)=e-2*4.5 =0.000123

Step-by-step explanation:

Answer:

33% probability that a man in this age group is under 180 pounds

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 202.3, \sigma = 50.7[/tex]

Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.

This is the pvalue of Z when X = 180.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 202.3}{50.7}[/tex]

[tex]Z = -0.44[/tex]

[tex]Z = -0.44[/tex] has a pvalue of 0.33

33% probability that a man in this age group is under 180 pounds

Answer:

Hello There. ♡ The correct answer is: f(x) = -|x-1|

The parent function is f(x) = |x|

Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become: 

f(x) = -|x| 

-f(x)' = |x|

 f(x)' = -|x|

After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become: 

 f(x) = -|x|

 f(x) = -|(x'-1)|

 f(x) = -|x'-1|

Hope It Helps! :)

ItsNobody~ ♡

Answer:

its b on edge  2020

Step-by-step explanation:

Answer:

Step-by-step explanation:

18 : 2/3

can also be written as 18 / 2/3 = 18 × 3/2

= 27

Hope it helps

plz mark as brainliest!!!!!

Answer:

(4, 26)

(-6, -24)

Step-by-step explanation:

Step 1: Substitution

5x + 6 = x² + 7x - 18

Step 2: Move everything to one side

0 = x² + 2x - 24

Step 3: Factor

(x - 4)(x + 6) = 0

Step 4: Find roots

x = 4, -6

Step 5: Plug in x to find y

y = 5(4) + 6

y = 20 + 6

y = 26

y = 5(-6) + 6

y = -30 + 6

y = -24

Answer:

C. 2y = -12

Step-by-step explanation:

Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12

Answer:

Step-by-step explanation:hi

Answer:

In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool

Step-by-step explanation:

The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.

hope this helpes

be sure to give brainliest

Answer:

An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.

At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.

The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.

Answer:

The answer is

Step-by-step explanation:

Factor the expression

We have

(1.1 × 10 - 4.9) × 10²

Multiply the numbers

That's

( 11 - 4.9) × 100

Subtract the terms in the bracket

That's

( 6.1) × 100

Multiply

We have the final answer as

Hope this helps you

Answer:

2.10% probability that the group will consist of all Republicans.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the members are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

4 republicans from a set of 6.

[tex]D = C_{6,4} = \frac{6!}{4!2!} = 15[/tex]

Total outcomes:

4 members from a set of 6 + 7 = 13.

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{15}{715} = 0.021[/tex]

2.10% probability that the group will consist of all Republicans.

Answer:

The correct answer is B.

Step-by-step explanation:

Giving the following information:

Job:

Direct materials= $2,000

Direct labor= $400

Machine-hours= 900 mh

Company:

Manufacturing overhead costs $45,000

Machine-hours 100,000 mh

Selling price= 40% markup of total manufacturing costs

First, we need to calculate the predetermined overhead rate to allocate overhead:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 45,000/100,000

Predetermined manufacturing overhead rate= $0.45 per machine hour

Now, we can calculate the total cost and the selling price:

Total cost= 2,000 + 400 + 0.45*900= $2,805

Selling price= 2,805*1.4= $3,927

Answer:

A=0.25

B=0.35

C=1.05

Step-by-step explanation:

1. A+B=0.6

2. A+C=1.3

3. C=3B

2 subtract 1:

3 substituted:

Answer:

A game would need to be at least 257.67 minutes long to qualify for the Endurance Board.

257.67 minutes = 257 minutes, 40 seconds = 4 hours, 17 minutes, 40 seconds.

Step-by-step explanation:

Games that are given special recognition on the Endurance Board are the games that last in the longest 1% of all games.

If X is the random variable that represents the time a chess game takes before it is completed.

X is said to be normally distributed with

Mean = μ = 153 minutes

Standard deviation = σ = 45 minutes

Let games that last the longest 1% of the time last for a minimum of x' minutes.

P(X > x') = 1% = 0.01

P(X ≤ x') = 1 - P(X > x') = 1 - 0.01

P(X ≤ x') = 0.99

Indicating that such games are longer than 99% of all chess games.

This is a normal distribution problem

Let the z-score for these type of longest games with a minimum duration of x' minutes be z'.

P(X ≤ x') = P(z ≤ z') = 0.99

From the normal distribution table, z' = 2.326

z-score of any value is given as the value minus the mean divided by the standard deviation.

z = (x - μ)/σ

So,

z' = (x' - μ)/σ

2.326 = (x' - 153)/45

x' = (2.326×45) + 153

x' = 104.67 + 153 = 257.67 minutes = 257 minutes, 40 seconds.

Hope this Helps!!!

Answer:

-1/19,-4/7,7/4

Step-by-step explanation:

first, you divide -1 by 19, which should give you -.0526

then, you divide -4 by 7, which should give you -.5714

after that, you divide 7 by 4, which should give you 1.75

the lesser numbers would be negative, since they are to the left of 0 and positives are to the right.

these steps should give you your answer, which is located above.

Answer:

B

Step-by-step explanation:

table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin

for B :25/20=30/24=40/32=5/4

y=5/4 x

Answer: 16

Step-by-step explanation:

4 * 4 = 16

Answer:

110°

Step-by-step explanation:

m arc DB=140°

m arc BCD=360-140=220°

∠ A=1/2×220=110°   (∵angle at the circumference=1/2 angle at the center.)

Answer:

Answer B is the correct one: a curved line that can be increasing or decreasing.

Step-by-step explanation:

Exponential functions are one-to-one functions, which means that cannot have a U shape. Also, they are not a straight line, since they grow of decrease exponentially (based on a fixed numerical base with the variable as the exponent) They can represent exponential growth showing a curve with increasing values as we move from left to right, or can represent exponential decay showing a curve with decreasing values as we move from left to right.

Answer:

We can find the critical value [tex]t_{\alpha/2}[/tex]

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

[tex] \alpha=1 -c[/tex]

And with the degrees of freedom given by:

[tex] df=n-1[/tex]

We can find the critical value [tex]t_{\alpha/2}[/tex]

And for this case if the confidence increase the critical value increase so then this statement is True

Answer:

1.02% probability of the stick's weight being 2.44 oz or greater

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 2, \sigma = 0.19[/tex]

What is the probability of the stick's weight being 2.44 oz or greater?

As a decimal, this is 1 subtracted by the pvalue of Z when X = 2.44. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.44 - 2}{0.19}[/tex]

[tex]Z = 2.32[/tex]

[tex]Z = 2.32[/tex] has a pvalue of 0.9898

1 - 0.9898 = 0.0101

1.02% probability of the stick's weight being 2.44 oz or greater

Answer:

Its 2.4, glad to help ya out!

Step-by-step explanation:

Remember v/pi times r squared

Answer:

c) The series diverges. There is no sum.

Step-by-step explanation:

A geometric series is a series of the form:

[tex]S = \Sigma_{i=0}^{n} a\cdot r^{i}[/tex], [tex]\forall i \in \mathbb{N}_{O}[/tex]

Where:

[tex]a[/tex] - First term of the series, dimensionless.

[tex]r[/tex] - Common ratio, dimensionless.

A geometric series converges only if [tex]|r| < 1[/tex]. As [tex]r > 1[/tex], the geometric series diverges. Hence, the right answer is C.

Answer:

{ 1,3,5,7,10,15}

Step-by-step explanation:

The union means join together, or all the elements of both sets

{1, 5, 10, 15} U {1, 3, 5, 7}

= { 1,3,5,7,10,15}

Answer:

Step-by-step explanation:

Union of two sets contains the elements that belongs to A set or B set or both

A= {1,5,10, 15}

B ={1,3,5,7}

A U B = {1,3,5,7,10,15}

Answer:

3.072km

Step-by-step explanation:

[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]

Answer:

15

Step-by-step explanation:

A={6,11,16,...,76}

a=6,d=11-6=5

[tex]a_{n}=a_{1}+(n-1)d\\76=6+(n-1)5\\76-6=(n-1)5\\n-1=70/5=14\\n=14+1=15[/tex]

so the cardinal number is 15

Step-by-step explanation:

A(2/5, 19/20) and B (1/3, 11/12)

AB = [tex]\sqrt{(x_{A} - x_{B} )^2 + (y_{A} - y_{B}) ^2][/tex] = [tex]\sqrt{{(2/5- 1/3 )^2 + (19/20 - 11/12) ^2[/tex] = [tex]\sqrt{5} /30[/tex]

Answer:

2 real solutions

Step-by-step explanation:

hello,

[tex]\Delta = b^2-4ac=3^2-4*1*1=9-4=5>0[/tex]

as this is > 0 there are 2 different real solutions

hope this helps

The quadratic equation, y = x² + 3x + 1 has two real roots.

In a quadratic equation of the form, ax² + bx + c = 0, the nature of the roots depends upon the value of the discriminant (D), which is calculated by the formula, D = b² - 4ac.

If the value of D > 0, the equation has real and distinct roots.

If the value of D = 0, the equation has real and equal roots.

If the value of D < 0, the equation has imaginary roots.

In the question, we are given an equation y = x² + 3x + 1 and are asked to say how many real roots it has.

To find the roots, we first equate y to 0.

∴ y = x² + 3x + 1 = 0.

Now comparing the equation x² + 3x + 1 to the standard equation ax² + bx + c, we get a = 1, b = 3, and c = 1.

Now, the nature of the roots depends upon the discriminant (D),

D = b² - 4ac = 3² - 4.1.1 = 9 - 4 = 5.

∵ Discriminant (D) > 0, the quadratic equation, y = x² + 3x + 1 has both its root real and distinct.

∴ The quadratic equation, y = x² + 3x + 1 has two real roots.

Learn more about quadratic equations at

https://brainly.com/question/1214333

#SPJ2

Answer:

They can sit in 19,958,400 ways

Step-by-step explanation:

The seating arrangements matter based off of rank, which means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

8 seats from a set of 12. So

[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = 19,958,400[/tex]

They can sit in 19,958,400 ways