Answer:
these are notes i wrote in geometry I'm not sure if this will help. it's been a few months since i did this
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 2346 floppy disks is drawn. Of these disks, 1971 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of disks which are defective is 0.16.
Step-by-step explanation:
The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.
In this question:
2346 disks.
1971 not defective, so 2346 - 1971 = 375 defective.
[tex]p = \frac{375}{2346} = 0.16[/tex]
The proportion of disks which are defective is 0.16.
Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
4 yd
5 yd
9 yd
Answer:30
Step-by-step explanation:
3. Suppose you invest $2250 in a CD that earns 3% APR and is compounded quarterly. The CD matures in 2 years. How much will this CD be worth at maturity?
The Federal Reserve System publishes data on family income based on its Survey of Consumer Finances. When the head of the household has a college degree, the mean before-tax family income is $ 85,050. Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed. What is the standard deviation of before-tax family incomes when the head of the household has a college degree
Answer:
The standard deviation is $13,052.
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 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.
When the head of the household has a college degree, the mean before-tax family income is $ 85,050.
This means that [tex]\mu = 85,050[/tex]
Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed.
They are equally as far from the mean, one above, and one below. This means that when [tex]X = 95100[/tex], Z has a pvalue of 0.5 + (0.56/2) = 0.78. So when X = 95100, Z = 0.77. We use this to find [tex]\sigma[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.77 = \frac{95100 - 85050}{\sigma}[/tex]
[tex]0.77\sigma = 10050[/tex]
[tex]\sigma = \frac{10050}{0.77}[/tex]
[tex]\sigma = 13052[/tex]
The standard deviation is $13,052.
Simplify -5( 7 + x ) + 2 5/6x.
P.S 26 is not the answer I tried it I need help :(
Answer:
52.........................
Answer:
A
Step-by-step explanation:
(2x + 6)° = 32°.........(Alternate angles are equal)
2x° = 32°- 6°
2x° = 26°
x. = 26 ÷ 2
x. =. 13°
PLEASE GIVE BRAINLIEST....
Is 1.5399818181... a rational number?
Answer:
yes, cuz the rational numbers is said to be 0 or real numbers.
I need help please.
Answer:
Equal
Step-by-step explanation:
PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS
cut off the topright rectangle so there are 2 rectangles.
That will make it look like this
2x3=6
+
5x3=15
=
21
The area of that shape would be 21 square feet
21 square ft
u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;
Need help with this asap!!
Answer:
≈ 53.7° (Option 3)
Step-by-step explanation:
In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.
Length of side opposite to angle 'x' = 15 cm
Length of side adjacent to angle 'x' = 11 cm
Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.
[tex]=> \tan x = \frac{15}{11}[/tex]
Using inverse tan function , lets find x.
[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°
please help with this math question! and explain to me please so i understand
Answer:
360 - 98 = 262
Step-by-step explanation:
Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.
if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second
Answer:
The system of equation that models the projectile of the two balls is option;
C. y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Step-by-step explanation:
The general equation for vertical (upward) motion under gravity is presented as follows;
h - h₀ = u·t + 1/2·g·t²
Where;
h = The final height reached
h₀ = The initial height
u = The initial velocity
g = The acceleration due to gravity ≈ -32 feet/second
t = The time taken
We can rewrite the above equation with different letters for the variables as follows;
h = y,
h₀ = y₀, and
t = x
Therefore, we have;
y - y₀ = u·x - 1/2 × 32 × x²
y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀
y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀
y = -16·x² + u·x + y₀
For Tara, we have;
u = 12 feet/second
y₀ = 3 feet
Therefore, we get;
y = -16·x² + 12·x + 3
For Mallory, we have;
u = 9 feet/second
y₀ = 3.25 feet
Therefore, we get;
y = -16·x² + 9·x + 3.25
The correct option is therefore;
y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Taylor has 5 yards of gold ribbon to decorate
8 costumes for the school play. She plans to
use the same amount of ribbon for each
costume. How many yards of ribbon will she
use for each costume?
Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?
Can please someone do this❗️
Answer:
7 is 50 , 8 is84, 9 is 45, 10 is 135, 11 is 155 and 12 is 80
Step-by-step explanation:
Which of the following must be true?
The diagram is not to scale
Answer:
AB<BC
Step-by-step explanation:
Just put that answer hope I helped!!
yo sorry xDDDDD ok dis real 1
Answer:
96 dozen (or/aka) 1152 cupcakes
Step-by-step explanation:
I hope this is right, if not I'm very sorry just bad at math.
how you would use the distributive property to expand 7(x + 4). I NEED HELPP
Answer:
7x+28
Step-by-step explanation:
7(x+4)
Use the distributive property to multiply 7 by x+4.
7x+28
Graph if needed:
I will mark you brainalist
Answer:
-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.
Step-by-step explanation:
Answer:
B. (-3, 3)
Step-by-step explanation:
Point of intersection of both the lines is the solution to both the equations.
Both the lines are intersecting each other at point (-3, 3)
So, ordered pair of solution is (-3, 3)
A population of bacteria is initially 500. After two hours the population is 250. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. If you need to round any decimals, round to four decimal places.
Answer:
500(1/2)^t/2
Step-by-step explanation:
Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.
f(t)=2000(b)ct
After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:
f(t)f(t)=500(12)12(t)=500(12)t2
Alternate Solution
The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:
500a=a(b)0=500
The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:
25025050012(12)12b=500(b)2=b2=b2=b≈0.7071
This gives the final exponential equation:
f(t)=500(0.7071)t
When the exponential function that represents the size of the bacteria population after t hours is = [tex]500(1/2)\wedge t/2[/tex]
Calculation of Exponential functionWhen we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.
Then, f(t)=2000(b)ct
After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:
Then, f(t)f(t)=500(12)12(t)=500(12)t2
Now, an Alternate Resolution
When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:
After that, 500a=a(b)0=500
Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:
Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071
So, This gives the final exponential equation:
Therefore, f(t) is =500(0.7071)t
Find more information about Exponential function here:
https://brainly.com/question/27204818
Halle hires a limousine at a rate of $35.40 per
hour. If she uses the limousine for 5 hours, what
will her bill for the limousine be? [7.RP.1]
Answer:
$177
Step-by-step explanation:
35.40 * 5 = 177 you multiply 35.40 with 5
A rectangular field has a length of 42.14 meters. The length is 4.3 times as long as the width.
What is the width of the field?
Answer: 9.8
Step-by-step explanation: just divide
please make me brainliest
Answer:
Step-by-step explanation: Division (duh)
9.8
20>5 + 2n - 9
Plz help me with this
Step-by-step explanation:
20>5+2n-9
20+9>5+2n
29-5>2n
n>12
hope it helps.
What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points)
Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
Required
Get matching coefficient for elimination
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
[tex]2 * (2x + 5y = 12)[/tex]
[tex]4x + 10y = 24[/tex]
So, the system becomes:
[tex]4x + 3y = 8[/tex]
[tex]4x + 10y = 24[/tex]
Now, x can be eliminated
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answer:
135
Step-by-step explanation:
135+45=180
Can some body help me?
Answer:
24
Step-by-step explanation:
2(54-6x)=73-7x
108-12x=73-7x
108-73=-7x+12x
35=5x
x=7
UW=73-7x=73-7(7) = 73-49 = 24
A company offers free shipping on orders that weigh less than 5000 grams. How much is this in kilograms?
Be sure to include the correct unit in your answer.
What’s the answer to this is
Answer:
5 kilograms
Step-by-step explanation:
1000 grams is equal to 1 Kilogram, so 5000 Grams is equal to 5 Kilograms
2x+ 1/X-3+x/x-3+4/x-3
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.4 pounds and a standard deviation of 6.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 63 people on this diet, what would be the mean of the sampling distribution of sample means
Answer:
The mean of the sampling distribution of sample means would be of 23.4 pounds.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
What would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.
Which number is a rational number?
36
16
6
6
36
6
16
Answer:
√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational