3.2.5
Find a so that the point (-1,4) is on the graph of f(x) = ax^2+1
9514 1404 393
Answer:
a = 3
Step-by-step explanation:
Evaluating the given function at the point, we have ...
f(-1) = a(-1)^2 +1 = 4
a +1 = 4
a = 3
The value of 'a' is 3.
n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm. A. Find the probability that one selected subcomponent is longer than 118 cm. Probability
Answer:
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
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.
Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.
This means that [tex]\mu = 116, \sigma = 5.4[/tex]
Find the probability that one selected subcomponent is longer than 118 cm.
This is 1 subtracted by the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 116}{5.4}[/tex]
[tex]Z = 0.37[/tex]
[tex]Z = 0.37[/tex] has a pvalue of 0.6443
1 - 0.6443 = 0.3557
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Which is true about the polynomial
Nick has a bag of 30 pieces of candy.
There are an equal number of Nerds, Starburst
& Jolly Ranchers. Only Nick's favorites!
Callie chooses candy randomly from the bag.
.
What is the probability that she will choose a Starburst
or Jolly Rancher?
Answer
2/3
Step-by-step explanation:
there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3
... If g(x)= x^2 + 3x, what is the value of g(-3).
(1) 0
(3) 18
(2)3
(4) 21
Answer:
g(-3) = 0
Step-by-step explanation:
hello :
g(-3) = (-3)² + 3(-3) = 9-9 =0
please i am struggling allot please
Answer:
The tree grows 3,14 centimeters per year
If K is the center of the circle, which line segment is the radius?
the line segment KN is the radius
Makers of a new pain-relieving medication claim that it relieves chronic pain faster than the current top-selling pain reliever on the market. A
double-blind experiment was conducted in which 10 people who experience chronic pain were randomly selected to take either the new or the
current medication. Each of the 10 people recorded the time, in minutes, from taking the medication until pain relief. After an appropriate time
period, each of the 10 people took the other medication and recorded the time from taking the medication until pain relief. The medication each
person took first was randomly determined, and because both medications look the same, the people in the study did not know which medication
was taken first. The table below shows summary statistics for the results.
Answer:
srry can't help with out the picture, but I would think that if it wasn't the for sure amount that it wouldn't work
The p-value from the appropriate t-test illustrated is 0.1802.
What is a p-value?The p-value simply means the measure of the probability that an observed difference will have occured due to chance.
In this case, from the complete question, the p-value from the test from the table illustrated is 0.1802. The lower the p-value, the higher the statistical significance.
Learn more about p-value on:
https://brainly.com/question/4621112
Figure A is enlarged to create figure B. The ratio of the areas of A and B is 16:49.
One side of B is 5ft long. How long would the corresponding side on figure B be. Leave your answer as a fraction. (No image was provided, only the question itself.)
Answer: [tex]\dfrac{20}{7}[/tex]
Step-by-step explanation:
Given
The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides
Suppose the corresponding side on figure A is [tex]x[/tex]
On solving
[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]
Samantha jogs 3 miles in 45 minutes.
How many miles can she jog in 1 hour?
Answer:
4 miles in 1 hour.
Step-by-step explanation:
1 hour = 60 mins
Ratios:
[tex]\frac{3}{45} =\frac{x}{60} \\\\45x=180\\x=4[/tex]
Answer:
4 miles
Step-by-step explanation:
45/3=15 she runs 1 mile in 15 mins so in 1 hour she can jog 60/15=4 miles
factor trinomials x^2-x-6=?
Answer:
(x−2)(x+3)
Step-by-step explanation:
x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)
please help..I dont get this and please Dont put a Link below please.
Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
7th grade math help plssss
Answer:
Radius: R = 12 in
Diameter: D = 24 in
Circumference: C = 75.4in
Area: A = 452.39 in²
Step-by-step explanation:
Solutions:
Diameter d= 2r
D = 2 × 12
D = 24
Circumference
C = 2πr
C = 2 × π × 12
C = 24π
C = 75.3982237
Area:
A = πr²
A = π × 12²
A = 144π
A = 452.389342
Find 0% of 48:
Find 100% of 48:
Find 50% of 48:
Find 25% of 48:
Find 75% of 48:
Answer:
0
48
24
12
36
Step-by-step explanation:
Which phase is a description of the expression below 15-7n
Answer:
[see below]
Step-by-step explanation:
-7n is getting subtracted from 15.
7n is 'the product of 7 and n'
15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/
Hope this helps.
Matthew bought flowers for his mother. Exactly 1/4 of the roses were white. How many roses were white?
Answer:
1/4
Step-by-step explanation:
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Answer:
A) Ed
Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.
Answer: Ed
Step-by-step explanation:
PLEASE ITS DUE TONIGHT. All help is really appreciated.
Answer:
21) 18
22) 9
Step-by-step explanation:
21) (4+8)/2*3 = 18
22) (8+10)/2 = 9
Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?
Find total centimeters by multiply total steps by centimeters per step:
15 x 60 = 900 centimeters total needed.
Convert centimeters to meters by dividing total centimeters by 100:
900/100 = 9
He will need 9 meters
Answer:
Ms nelson need 900 centimeters of carpet
Step-by-step explanation:
15 times 60 cm = 900cm
What is the value of x in the triangle?
I need help pls :)
Answer:
17
Step-by-step explanation:
using Pythagorus theroem, you do (√514)² - 15².
This gives you 289 which you then need to square root, giving you 17
HELP!!!
What is the volume of the square pyramid, in cubic inches?
Answer:648
Step-by-step explanation:
V=a2h
3=92·24
3=648
Answer:
648 in.^3
Step-by-step explanation:
V = (1/3)Bh
V = (1/3)(9 in.)^2(24 in.)
V = 648 in.^3
Help!!! Algebra 2
:( Due in 7Mins
Answer
d
Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.
Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?
Answer:
reflection reflection
Step-by-step explanation:
rotation doesn't make sense and there is no indication of a center of rotation.
so the obvious answer is reflection reflection
Which shape is a parallelogram?
I’ll mark you if you give the right answer!!
Answer:
The rectangle is a parallelogram.
Step-by-step explanation:
Parallelograms are shapes with two pairs of parallel sides.
The rectangle is the only shape that meets those requirements.
giving brainliest !!! *easy*
Answer: 600 sq cm
Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.
Hope this helps!
Answer:
SA = 600
Step-by-step explanation:
A cube has six sides.
The formula to find the SA of a cube is 6a^2
6 x 10^2 = 6 x 100 = 600
which of the following numbers is a prime number greater than 23?
a)17 b)24 c)25 d)29 please no links
Sarah normally earns £600 each month. In December she is given a bonus of 1/5 of her normal pay. How much will she now earn this month?
Answer:
720
Step-by-step explanation:
First you divide 600 by 5 to get 1/5 if the 600 which is 120
Then you add the 120 to the 600 which is your answer 720
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Nicole is buying two posters. One poster costs $7.04 and the second costs $12.45. How much more does the second cost than the first?
A. $5.95
B. $0.54
C. $5.41
D. $19.49
Alyson worked at a clothing store for the summer. She started in June and her pay increased by 10% each month. Alyson earned $2,904 in August. How much did she earn in June?
Answer:
i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so
Step-by-step explanation:
The internet