Answer:
5/21
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2
Answer: actual answer is y=3/2x+4
Step-by-step explanation: plug b in the original formula
The equation of the line as of the condition given is y = 3x/2 + 3/2.
Given that,
The equation of the line that passes through the point (-6,-5) and has a slope of 3/2 is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope form of the line is given as,
y - y₁ = m (x - x₁)
From the given substitute the point and slope in the above equation,
y + 6 = 3/2 [x + 5]
y = 3x/2 + 15/2 - 6
y = 3x/2 + 3/2
Thus, the equation of the line as of the condition given is y = 3x/2 + 3/2.
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Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 59 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98 ? Round your answer to 4 decimal places, if necessary.
Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 100[/tex] and [tex]\sigma = 15[/tex].
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.13[/tex]
[tex]Z = -0.13[/tex] has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
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find the value ~
[tex] |8| + | -7| = x[/tex]
don't spam ~
ty! :)
[tex] \qquad \qquad \huge \sf \underline{Solution}[/tex]
☘ Whαt wє nєєd tσ knσw вєfσrє wє ѕσlvє :
➺ Mσduluѕ (mσd) iѕ α mαthєmαticαl functiσn thαt givєѕ αвѕσlutє vαluє σf α numвєr σr vαríαвlє.
⧉ Thαt is :
✤ 1 :positive value ➙ +vє value [ |a| ➙ a ]
✤ 2 :negative value ➙ +vє value [ |-a| ➙ a ]
✤ 3 :variable term ➙ +vє variable [ |x| ➙± x ]
❐ if value in the value in variable is negative, then
|x| = -x [ minus sign makes -ve value +ve ]|x| = x [ there's no need to change if value is already positive ]━━━━━━━━━━━━━━━━━━━━━━━
❐ nσw, mσvє σn tσ quєѕtiσn :
[tex]\qquad \: \multimap \sf|8| + | - 7| = x[/tex]
[tex]\qquad \: \multimap \sf8 + 7 = x[/tex]
[tex]\qquad \: \multimap \sf x = 15[/tex]
✦ thєrєfσrє, vαluє σf х iѕ 15
Isaac is working two summer jobs, making $8 per hour walking dogs and making $16
per hour tutoring. In a given week, he can work a maximum of 8 total hours and must
earn no less than $80. If x represents the number of hours walking dogs and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
8 x 8 =64 + 16 x 8 = 128 =$192
Step-by-step explanation:
Dan loves to compete in triathlons. At a race a few months ago, he finished in 300 minutes. Yesterday, he completed another triathlon and finished in 306 minutes. What was the percent of increase in Dan's finishing time?
Answer:
2%
Step-by-step explanation:
If 300 minutes is 100%, how much percent is 306 minutes?
we need to use the rule of three
306 minutes x 100% / 300 minutes = 102%
Therefore the percent of the increase is 102%-100%= 2%
Supervisor: "I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."
It have get [tex]24[/tex] customer of them to sign up for the new service feature.
Given:
Sign up percentage is [tex]25[/tex] %.
[tex]96[/tex] customer.
To find the solution by,
Multiply customer and sign up
[tex]=96*25[/tex]%
[tex]=96*\frac{25}{100} \\\\=2400/100\\\\=24[/tex]
Thus, it have get [tex]24[/tex] customer of them to sign up for the new service feature.
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Which of the following graphs is a function?
Answer:
a
Step-by-step explanation:
because of the line test
(-8+4i)(1 - i)
Which of the following is equivalent to the complex number shown above?
Note: i = -1
Answer:
-4 + 12i
Step-by-step explanation:
(-8 + 4i) (1 − i)
Distribute using FOIL.
(-8)(1) + (-8)(-i) + (4i)(1) + (4i)(-i)
-8 + 8i + 4i − 4i²
-8 + 12i + 4
-4 + 12i
The product of two complex numbers (-8+4i) and (1 - i) is - 4(1 + i).
What is a complex number?"A complex number is a number of the form a + bi, where 'a' and 'b' are real numbers. Here, i = √(- 1)."
Given, (- 8 + 4i)(1 - i)
= (- 8 + 4i - 8i - 4i²)
= [- 8 - 4i - 4(- 1)]
= (- 8 - 4i + 4)
= (- 4 - 4i)
= - 4(1 + i)
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What is the value of x?
Can someone help Idk how to do this??
Answer:
x=92
Step-by-step explanation:
360-60-90-73-45=92
A barrel of flour has about 200 pounds of flour in it how many pounds of flour did the titanic have on board?
pls help answer this
if the circumfrence if a circular sheet is 154 then find the radius and area.
take π as 22/7
Answer:
1886.5
Step-by-step explanation:
2πr=154
2*22/7*r=154
44/7r=154
44r=1078
r=24.5
now,
area=πr²
=22/7*(24.5)²
=1886.5
4 A game is being watched by 60 adults and some
children. If there are 20 more adults than children,
how many children are watching the game?
Lo Children
Answer:
20 children.
Step-by-step explanation:
We can solve this using an equation or simple mental math:
The equation: x=children x+20=adults
x + (x+20) = 60
2x + 20 = 60
2x = 40
x = 20
Mental Math: 40 plus 20 is 60 and 40 is 20 more than 20 so there are 40 adults and 20 children.
Question 6 P Find x in the given figure.find
Answer:
72¬
Step-by-step explanation:
48°+x = 120° ( interior alternate angles)
x = 120° - 48°
x = 72°
Suppose a = 16 and b = 20. what is c
Answer:
I would guess C = 24
Step-by-step explanation:
16 + 4 is 20, so if this is consistent it should be 24 lol
the answer is 20-16 = 4
so c is 4
question listed in image
Answer:
Option 5
Step-by-step explanation:
The sum of three consecutive integers is -561. What are the
integers?
I
Answer:
-188, -187, -186
Step-by-step explanation:
x + (x+1) +(x+2) will usually be the formula for questions like this. If there wer 4 consecutive numbers, you just add (x+3) and so on.
The three integers are:
x + (x+1) + (x+2) Simplify this :
3x+3 = -561 Get 3x by itself, subtract 3 on both sides:
-3 -3
3x = -564 Find x divide -564 and 3:
x = -188
-188 is the first number now you count up.
-188 is the first number, -187 is the second, -186 is the third.
Hope this helps : )
Somebody help!!
Drop down option for both sin(A) and cos(A) is
Sin(C)
Cos(C)
Cos(B)
Tan(A)
Sin(B)
Answer:
Step-by-step explanation:
sin(A) = cos(C) = 9/41
cos(A) = sin(C) = 40/41
Help!!!!!! Quick
Evaluate (x + y)° for x = -3 and y = 5.
- 1/2
2
1
O
Answer:
it is 1
Step-by-step explanation:
The power of 0 causes all numbers to negate to 1.
Anything to the power of 0 is 1
For example:
(10)^0 = 1
can you please solve this for my none of my calculators will thank you
Answer:
43 2/225
Step-by-step explanation:
Solution by separating parts
Rewriting our equation with parts separated
=32+650+10+1618
Solving the whole number parts
32+10=42
Answer:
22 10/50
Step-by-step explanation:
You first divide then add the subtract the fractions.
Math math math help help
Answer:
C. No -- Mitch's line is incorrect because he should draw it so that data points are above and below the trend line.
Explanation:
This is what is known as having a line of best fit. The data points should at least nearly be evenly distributed on both sides of the line for it to be a good line of best fit. You should also make sure that you have at least a few points TOUCHING the line. This is a majour part of having a line of best fit.
I am joyous to assist you at any time.
The answer is C. Hope this helps :)
What is the area of the figure below?
10 cm
3 cm
7 cm
18 cm
A 86 cm2
B. 97 cm2
C. 102 cm2
D. 82 cm2
Answer:
Should be >A.86 cm2
Step-by-step explanation:
Good luck on your test, Have a great day!
Answer:
The answer is A) 86 cm2, hope this helps!
Find the product.
5x2 •2y2
Answer:
10(x^2)(y^2)
i hope this work for you
Help me! Please! I’ll mark you brainless
I'm not sure but I think the answer is - 1/2
Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.
Which lines are parallel? Justify your answer.
Lines a and b are parallel because their corresponding angles are congruent.
Lines a and b are parallel because their same side exterior angles are congruent.
Lines e and f are parallel because their corresponding angles are congruent.
Lines e and f are parallel because their same side exterior angles are supplementary.
Answer:
D. Lines e and f are parallel because their same side exterior angles are supplementary.
Step-by-step explanation:
I know for a fact that it is not C or A even though those ones would make the most sense. This leaves B and D; It's not B because is said that angles A and B are both exterior which is incorrect, A in interior and B is Exterior. This leaves us with D as our final answer.
Hope this helps, may I get brainliest please? :)
The parallel lines are; Lines e and f are parallel because their same side exterior angles are supplementary.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 4x + 2, thus its slope is 4 and thus, the slope of the needed line is 4.
We have given that Lines e and f are intersected by lines a and b.
At the intersection of lines a and e, the uppercase right angle is 110 degrees. The lines b and e, the uppercase right angle is 110 degrees. The lines b and f, the bottom right angle is 80 degrees.
Therefore, The parallel lines is; Lines e and f are parallel because their same side exterior angles are supplementary.
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Na'ilah is spinning 2 fair spinners. Which table shows all the possible outcomes of spinning both spinners
The possible outcomes of spinning both spinners is the sample space of the spinner
The possible outcomes are A1, A2, A3, B1, B2 and B3
How to determine the possible outcomesThe question is incomplete, as the number of sections in each spinner is not given.
Assume the sections on the first spinner are A and B, while the sections on the second spinner are 1, 2 and 3.
The possible outcomes would be: A1, A2, A3, B1, B2 and B3
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write and graph an inequality to represent the following situation. Martin has written at least 70 words of his essay.
Answer: I think the answer is 60 like the inequality
Step-by-step explanation:
Why? Well basically I did 70 - inequality and got 2 and when I subtracted those numbers it gave me 3 and then I added 3 + 2 and got 5 and then when I did 5 + 3 + 2 I got 80 and then I said thats to much so I divided 80 by 5 and got 33. and I thought 33 was to little so I added an extra 20 and got 60
(-3)(a+x) if a=8 and x=-10
Answer:
6
Step-by-step explanation:
(-3×a)+(-3×x)
(-3×8)+(-3×-10)
-24+30
6
or
(-3)×(8+(-10))
-3 × -2
6
Angle MNP ~ Angle HJK. Both triangles are isosceles. If m
help me pls
I'll give em points who's the first one to answer to help me
get the sum of 2/3 1/4 and 5/6
Answer:
7/4 which could also be written as 1 and 3/4
88
=
CN
Use the table to answer the following questions.
Х
0
1
2
3
4
5
Y
12
7
2
-3
-8
-13
3
1 point
The y-intercept from our table is
type your answer...