Ive been stuck on this problem for an hour, help pleaseee.
The graph of the function is given below. Give all y-intercepts and x-intercepts shown.
Answer:
y intercept: [tex]y = 1[/tex]
x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): The y intercepts
This is the point where [tex]x = 0[/tex]
From the attached graph, [tex]x = 0[/tex] when
[tex]y = 1[/tex]
Hence, the y intercept is 1
Solving (b): The x intercepts
This is the point where [tex]y = 0[/tex]
From the attached graph, [tex]y = 0[/tex] when
[tex]x = -1[/tex] and [tex]x = -3[/tex]
Hence, the x intercept are -1 and -3
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.
Answer:
1 = 100% probability that a person will wait for more than 33 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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.
The mean waiting time is 55 minutes and the variance of the waiting time is 11.
This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]
Find the probability that a person will wait for more than 33 minutes.
This is 1 subtracted by the p-value of Z when X = 33. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]
[tex]Z = -6.63[/tex]
[tex]Z = -6.63[/tex] has a p-value of 0.
1 - 0 = 1
1 = 100% probability that a person will wait for more than 33 minutes.
Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
9514 1404 393
Answer:
7x^3 +11x^2 -5x -8
Step-by-step explanation:
Combine like terms.
(4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)
= 7x^3 +11x^2 -5x -8
_____
Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...
(4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)
= 7x^3 +9x^2 -3x -8
What is the result of adding two or more numbers?
Answer: A sum
Step-by-step explanation: The result of adding two or more numbers together is a sum.
When two (or more) numbers are added together, the result is called a sum.
Find the Z-scores that separate the middle 22% of the distribution from the area in the tails of the standard normal distribution.
The Z scores are _____?
Find the value of z a The value of α = 0.27
The value of z 0.27 is _____
Find the Z-score such that the area under the standard normal curve to the left is 0.33
_____ is the z - score such that the area under the curve to the left is 0.33.
Answer:
0.279
0.613
-0.44
Step-by-step explanation:
The Zscore that seperates the middle 22% of the distribution ; could be obtained thus. The midpoint is the mean and the probability to either the right or left could be obtained.
To obtain the Zscore that seperates the middle 22% is equivalent to :
The probability to the left of the distribution :
P(x < (0.5 + 0.22/2) = p(x < 0.61)
Using the Z probability calculator :
P(x < 0.61) is equivalent to a Zscore of 0.279
α = 0.27
Z(1 - α) = Z(1 - 0.27) = Z0.73 = p(Z < 0.73) = 0.613
P(x < 0.33) = - 0.44 (Z probability calculator)
The time it takes glyceraldehyde-3-phosphate dehydrogenase to convert aldehyde to carbolic acid follows a normal distribution with a mean of 19 milliseconds and standard deviation of 4.04 milliseconds.
a) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase between 15 milliseconds and 20 milliseconds to convert aldehyde to carbolic acid?
b) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase more than 20 milliseconds to convert aldehyde to carbolic acid?
c) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase less than 15 milliseconds to convert aldehyde to carbolic acid?
For each probability, transform the normal random variable X with mean 19 and s.d. 4.04 to a standard normal random variable Z with mean 0 and s.d. 1, using the rule
Z = (X - 19) / 4.04
(a) Pr[15 ≤ X ≤ 20] = Pr[(15 - 19)/4.04 ≤ (X - 19)/4.04 ≤ (20 - 19)/4.04]
… ≈ Pr[-0.9901 ≤ Z ≤ 0.2475]
… ≈ Pr[Z ≤ 0.2475] - Pr[Z ≤ -0.9901]
(since Z is a continuous random variable)
… ≈ 0.4367
(b) Pr[X > 20] = Pr[(X - 19)/4.04 > (20 - 19)/4.04]
… ≈ Pr[Z > 0.2475]
… ≈ 1 - P[Z ≤ 0.2475]
(taking the complement probability)
… ≈ 0.4023
(c) Pr[X < 15] = 1 - Pr[15 ≤ X ≤ 20] - Pr[X > 20]
(also taking the complement)
… ≈ 0.1611
how to expand (3x-4y)^6
Laura uses 3 yards of fabric to make 2 skirts. She uses the same amount of
fabric to make each skirt. At this rate, what is the total amount of fabric, in
yards, she needs to make 6 skirts?
Answer:
9 yards
Step-by-step explanation:
3 yards make 2 skirts
2x3=6
3x3=9
9 yards make 6 skirts
A store has two different coupons that customers can use. One coupon gives the customer $35 off their purchase, and the other coupon gives the customer 35% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost in dollars) and outputs the cost after applying the "$35 off" coupon, and let g be the function that inputs a cost in dollars) and outputs the cost after applying the "30% off" coupon.
Required:
What is correctly represents the fact that the cost of purchasing $190 worth of goods is $98 when the "30% oft" coupon is applied first followed by the "$35 off" coupon?
Answer:
h(x)=f[g(x)]=0.7x-35
Step-by-step explanation:
In this case function f, which inputs a cost and outputs the cost after applying the $35 off coupon looks like this:
f(x)=x-35
where x is the cost of the purchase. In this case we are subtracting the $35 from the cost x.
Function g, which inputs a cost and outputs the cost after applying the 30% off coupon looks like this:
g(x)=x-0.3x
g(x)=0.7x
in this case we are subtracting 30 percent of the cost from the cost of the purchase.
So in order to find a function that represents the cost of the purchase when first applying the 30% coupon and then the $35 coupon we will need to get a composite function f(g(x)). Which means we need to substitute function g(x) into the f(x) function so we get:
h(x)=f[g(x)]=(0.7x)-35
or:
h(x)=0.7x-35
We can prove this function works when plugging x=$190 in so we get:
h(190)=0.7(190)-35
h(190)=133-35
h(190)=98
Find the value of x.
135°
5x
Answer:
Step-by-step explanation:
180-135=45
5x=45°
45 divided by 5 =9
X=9°
Answer: 9
Step-by-step explanation: The answers 9 cus 135+5x has to equal 180 so u do 180 -135 =45 than divid 45 to 5 which equals 9
On a model castle, 1 inch equals 83 feet. The model is 10.5 inches wide. What is the actual width of the castle?
Answer:
871 and 1/2 ft.
One winter, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students measured each month How much total snowfall did they receive at their school that winter?
month. snowfall
December 4.2
January. 8.9
February. 5.4
Answer: 18.5 inches
Step-by-step explanation:
The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:
= December snowfall + January snowfall + February snowfall
= 4.2 + 8.9 + 5.4
= 18.5
The total snowfall is 18.9 inches.
A bag contains 8 red M&Ms, 12 blue M&Ms, 3 brown M&Ms, and 7 green M&Ms. An M&M is picked at random from the bag. What is the probability of getting the first color M&M, eating it, then grabbing the second color? Green, then another green:
Answer:
7/145
Step-by-step explanation:
7/30x6/29=42/870 = 7/145
a number less than 20 amounts to three times the number
Answer:
20 - x = 3x
Step-by-step explanation:
A number less than 20 amounts to three times the number
20 - x = 3x
brainliest for answer
Answer:
what is the question?
Step-by-step explanation:
Answer:
i answered
Step-by-step explanation:
I need help with all of these ASAP thank you so much
Answer:
C
Step-by-step explanation:
Functions meet the vertical line test:
a vertical line will intersect the graph at most at one point
C doesn't pass the vertical line test and is therefor not a function
What is the perimeter of rectangle J K L M
Step-by-step explanation:
you could count the squares around the shape or you could do it by points
For example point M is (2,3)
L is (6,3)
We want to find the length of this side so we subtract the x values
6 - 2 = 4 units
that gives use the length of that leg and since a rectangle is symmetrical, you can just measure 2 sides
The perimeter of a rectangle is 73 inches. If the length is 16 inches, write and solve an equation to
find the width.
Answer:
Step-by-step explanation:
The equation for finding the perimeter of a rectangle is 2Lx2H
So since the length is 16, you multiply that by 2 to get 32.
Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height
hope this helped!
Answer:
5
Step-by-step explanation:
73/16
16*5=73
a bookstore sells 9 books for $90. Which table represents the relationship between number of books and the total price?
Answer:
Step-by-step explanation:
Answer:
Table B
first find cost of 1 book
cost of 1 book=$90/9
=$10
now cost cost of 10 books
cost of 11 books=$10*10
=$100
cost of 11 book =$10*11
=$110
Step-by-step explanation:
since the cost of 10 and 11 books match in table B ,it is the correct answer
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
The name of polygon is SRVUT.
What is Polygon?In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.
and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.
Here, the polygon will have name:
VRSTU
RSTUV
STUVR
TUVRS
UTVRS
Learn more about Polygon here:
https://brainly.com/question/24464711
#SPJ7
Two numbers are in the ratio 3:4 when 4 is added to each term their ratio becomes 10:13. Find the numbers.
LOts of points pls help me
Answer:
Solution given:
l=12in
b=2.7in
h=9.8in
Volume=l*b*h=12*2.7*9.8=317.52in³
nearest measurement is 324in³
option C.324in³ is a required answer.
Answer:
Question:Which of the following volume measurements is the best estimate for the figure above? Round each measurement to the nearest whole number to get your estimate.
A. 360 in³
B. 300 in³
C. 324 in³
D. 216 in³
Answer :C. 324 in³✓Step-by-step explanation:
We're provided with a Cuboid with L = 12 in ,B = 2.7in & H = 9.8 in where,
L = Length of the cuboidB = Width of the cuboidH = Height of the cuboidand we're asked to Find the volume of the solid .
To find the volume of the given cuboid , we'll use the formula to find the volume of cuboid
[tex] \huge\fbox\pink{Area}\huge\fbox\green{=} \huge\fbox\blue{L}\huge\fbox\purple{B}\fbox\green{H} [/tex]
Inserting the value of L,B & H in the above formula
12×2.7×9.8We get
Area↬317.52 in³Estimating it to the nearest no. ,we get 324 in³-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
What is the answer for this question above
Answer:
Option A, 130°
Hope this helps!
I need help please!!!
Answer:
Option D would be the correct answer!
Hope this helps!
at food mart, hot dogs can be purchased in packages of 8 for $2.40 or packages of 12 for $3.00. which is a better buy? explain how you know HELP
Answer:
12-hot dog package is better buy because the per hot dog price is 5 cents cheaper
Step-by-step explanation:
2.40/8 = 0.30 per hot dog
3.00/12 = 0.25 per hot dog (this is the better buy by $.05)
Answer:
12-hot dog package per hot dog price is 5 cents cheaper
Step-by-step explanation:
= 2.40/8 = 0.30 per hot dog
= 3.00/12 = 0.25 per hot dog (this is the better buy by $.05)
Hope this answer helps you :)
Have a great day
Mark brainliest
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
WILL GIVE U BRAINLIEST
What is the value of x?
A. 100 degrees
B. 50 degrees
C. Not enough info
D. 60 degrees
Answer:
B. 50
Step-by-step explanation:
180-80=100
100 divided by two equal angles is 50.
PLease help!! Will mark brainliest for right answer!! NO LINKS
Let f(x)=10/x−4 . What is the average rate of change of f(x) from 2 to 8 ?
Enter your response as a decimal.
Answer:
[tex]f(x) = \frac{10}{x} - 4 \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(\frac{10}{8} - 4) - ( \frac{10}{2} - 4)}{2} \\ = \frac{ \frac{ - 11}{4} - 1}{2} \\ = \frac{ \frac{ - 15}{4} }{2} \\ = - \frac{15}{8} [/tex]
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
√4x²-20x+25=5-2x
HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root
Answer:
The equal is valid for x≤ 5/2
Step-by-step explanation:
sqrt(4x²-20x+25)=5-2x
Square both sides
(sqrt(4x²-20x+25))^2=(5-2x)^2
Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2
(4x²-20x+25)=25-20x+4x^2
The left side is equal to the right side
We need to check for extraneous solutions
The break point is 5-2x =0
5 =2x
x =5/2
Check x < 5/2
Let x=0
sqrt(4x²-20x+25)=5-2x
sqrt(25)=5
True
Check x=5/2
sqrt(4x²-20x+25)=5-2x
sqrt(4(25/4)-20*5/2+25)=5-2(5/2)
sqrt(25-50+25)=5-5
0=0
True
Check x>5/2
Let x=10
sqrt(4x²-20x+25)=5-2x
sqrt(4*100-20*10+25)=5-2*10
sqrt(400-200+25)=5-20
sqrt(225) = -15
15 does not equal -15
False
The equal is valid for x≤ 5/2