Answer:
With no digits repeated that would be 60,480
Step-by-step explanation:
9×8×7×6×5×4 = 60,480
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
It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust.
Required:
a. Plot a histogram of bacterial endotoxin levels.
b. Test whether the observed difference in endotoxin levels between the "sensitive" and normal"
Answer:
[a]. check attachment.
[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is P-value = 0.001 <<0.05.
Step-by-step explanation:
Without mincing words let's dive straight into the solution to the question above.
[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.
KINDLY NOTE: The data is right-skewed.
[b]. ALLERGIC MEAN SE MEAN STDEV N
FALSE 1510 251 1789 251
TRUE 530 109 343 10
False - true = difference in a.
Hence, 80 = estimated difference.
For the difference, 95% CI = (434, 1527).
DF = 58, P-value = 0.001, and the T value = 3.59.
Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is P-value = 0.001 <<0.05.
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.
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 ;-;
please help with this math question! and explain to me please so i understand
Answer:
360 - 98 = 262
Step-by-step explanation:
Sarah is solving for X by the process of completing the square for the following problem..
2x^2+16x-12=0
She got to this point below - type the number that goes in the (?) spot
(x+?)^2=22
Answer:4
Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.
So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12
The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12
So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.
So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.
Answer:
4
Step-by-step explanation:
x²+2(x)(?)+?²=22
multiply by 2 because the coefficient of the higher degree in the first equation is 2
2x²+2(2(x)(?))+2(?²)-2(22)=0
2x²+4x(?)+2?²-44=0
Comparison
4x(?)=16x
?=4
2?²-44=-12
So, 2?²=-12+44
2?²=32
?²=16
?=4
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
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
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:
Diego has run 4/5 of a race distance. He has run 7 2/3
Is 1.5399818181... a rational number?
Answer:
yes, cuz the rational numbers is said to be 0 or real numbers.
Aretha had 9 pencils. She gave her
sister 1/3 of the pencils. How many
pencils did Aretha give her sister?
Answer:
3
Step-by-step explanation:
9 divided by 3 is 3
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.
Which expression is equivalent to 6x^2+16x-6
The answer is (2x+6)(3x-1)
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
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
Solve 4c + 10 = 2. A. c = 2 B. c = -3 C. c = 3 D. c = -2
Answer:
d.c=-2
Step-by-step explanation:
Answer: A. c=-2
Step-by-step explanation:
4c + 10 = 2
4c = -8
c = -2
what is the value of angle x?
Answer:
x=66
Step-by-step explanation:
Hello There!
∠BAC ≅ ∠CDB because in a parallelogram opposite angles are congruent
So all we have to do is solver for ∠BAC
Remember the sum of the triangles angles is 180 so to find ∠BAC
we subtract the given angles (83 and 31) from 180
180-83-31=66
so ∠BAC = 66
like stated before
∠BAC≅∠BDC so if ∠BAC = 66 then x also equals 66
Answer:
x = 66
Step-by-step explanation:
x = 66 degree
2x+ 1/X-3+x/x-3+4/x-3
Write this equation in standard form y=3x+10
Answer:
to standard form
3x-y = -10
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°
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....
5. x=a+b+4 and anyz; bo when y=2; x=18 and when y=1; x=-3. Find tu
90
4 divided 1/5 hep me plz
Answer:
4/1/5=20 because when you divide by a fraction u keep change the divison into multiplaicton and flip the 1/5 to 5/1 so 4x5
Step-by-step explanation:
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.
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?
HELPP DUEE BY 1pm PACIFIC HELP ASAPP
I can try and help, 36 = 3 (4.5 + x), whichif you distribue, you get 36 = 13.5 + 3x, and if you solve from there, you get 22.5 = 3x, then your answer, 7.5 = x
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 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.
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: