Answer:
z = 3
Step-by-step explanation:
A large rectangular movie screen in an IMAX theater has an area of 7,875 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide.
Answer:
Width=75
length=105
Step-by-step explanation:
Width=x
length=30+x
= 7875=x*30+x
x^2+30x-7875=0
x^2+105x-75x-7875=0
x(x+105)-75(x+105)=0
As one object gets closer to another object the force of gravity will increase?
Answer:
no
Step-by-step explanation:
gravity is relevant to when something is being affected by the gravitational pull on earth, or any other planet. for example, i throw an apple into the air. and it comes back down, as newton said. what must come up, must come down. because of gravity, two objects being closer together does not affect the gravitational pull whatsoever. and the force of gravity doesn't change. as gravity just works on it's own, independent of the object, not dependent on the object. however certain objects will fall abit faster than others.
Some isosceles triangles are not equilateral.
O A. True
O B. False
an = n2- 5
A) {1, -4, 4, 11, 116...}
B) {1, 2, 3, 4, 5, 6, ...}
C) { -4, 11, 116, 13451,...}
D) { -4, -1, 4, 11, 20,...}
Answer:
D
Step-by-step explanation:
if to substitute values of n=1;2;3;4;5 into
[tex]a_n=n^2-5[/tex]
then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.
It means the answer {-4, -1, 4, 11, 20,...} is correct.
rea Calculations
1.
What is the surface area of the bottom of a rectangular storage
tank 10 feet long and five feet wide?
what is the answer to (x-1)+(2x+3) ?
Answer:
3x + 2
Step-by-step explanation:
Answer:
3x+2
Step-by-step explanation:
Get rid of the parentheses:
(x−1)+(2x+3)
x−1+2x+3
Add up the numbers:
x−1+2x+3
x+2+2x
Combine like terms:
x+2+2x
3x+2
PLEASE HELP! Which of the following expressions are equivalent to (x+y) - (-z)?
A) (x+y)-z
B)x+(y+z)
C) none of the above
Answer:
c
Step-by-step explanation:
none of them equal (x+y)-(-z)
Yuri thinks that 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Given:
The polynomial function is
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
Yuri thinks that [tex]\dfrac{3}{4}[/tex] is a root of the given function.
To find:
Why [tex]\dfrac{3}{4}[/tex] cannot be a root?
Solution:
We have,
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
If [tex]\dfrac{3}{4}[/tex] is a root, then the value of the function at [tex]\dfrac{3}{4}[/tex] is 0.
Putting [tex]x=\dfrac{3}{4}[/tex] in the given function, we get
[tex]q(\dfrac{3}{4})=6(\dfrac{3}{4})^3+19(\dfrac{3}{4})^2-15(\dfrac{3}{4})-28[/tex]
[tex]q(\dfrac{3}{4})=6(\dfrac{27}{64})+19(\dfrac{9}{16})-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=3(\dfrac{27}{32})+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{81}{32}+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
Taking LCM, we get
[tex]q(\dfrac{3}{4})=\dfrac{81+342-360-896}{32}[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{-833}{32}\neq 0[/tex]
Since the value of the function at [tex]\dfrac{3}{4}[/tex] is not equal to 0, therefore, [tex]\dfrac{3}{4}[/tex] is not a root of the given function.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 12 meters?
Answer:
12 meters = 472.441 inches
~Hope this helps~
please help meeeeeeeeeeeeeeeeeeee
Answer:
It took more than 3 hours
Step-by-step explanation:
Because 4/4 is 3 hours if it is higher then that is is more than 3 hours.
Volunteers for a human performance study were randomly divided into two groups. The first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. The flexibility scores of the two groups were compared. This experiment was not double-blind because:
a. some of the volunteers stretched before they went to the study location.
b. volunteers were allowed to keep their eyes open while having their flexibility measured.
c. volunteers were randomized into the two groups.
d. the volunteers knew whether they had meditated before having their flexibility measured.
Answer:
C
Have a wonderful day!
The experiment was not double-blind because volunteers were randomized into the two groups. The correct option is c.
What is a double-blind experiment?A type of clinical experiment where neither the research team nor the subjects are aware of the treatment or intervention they are receiving until the trial is complete. As a result, the study's findings are less likely to be skewed.
Because neither the participant nor the clinician is aware of who has received what treatment, double-blind studies are regarded as the most trustworthy sort of research. This is done in an effort to lessen bias and the placebo effect.
Both the researchers and the test subjects must be uninformed of who is receiving the treatment and who is receiving a placebo in a double-blind trial.
Therefore, the correct option is c. volunteers were randomized into the two groups.
To learn more about a double-blind experiment, refer to the link:
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Question 5 of 20
Which of the following triangles are right triangles? Check all that apply.
A. A triangle with side lengths 8, 15, 17
B. A triangle with side lengths 9, 12, 15
C. A triangle with side lengths 5, 12, 13
D. A triangle with side lengths 6 inches, 8 inches, 12 inches
Answer:
B. A triangle with side lengths 9 12 15
Step-by-step explanation:
9/3= 3
12/3= 4
15/3 = 5
A perfect right triangle is 3, 4, 5.
Please include the steps that took you to get your answer. I am very confused on what to do with the 1/2.
First let's review how to expand this!
(ax+b)^2=a^2*x^2+2abx+a^2
In this case
(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2
=4x^2+2x+1/4
Done!
What can be said about a set of data with a standard deviation of 0? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below. A. All the observations are the same value. B. All the observations are 0. C. For every positive value, there is a corresponding negative value (as in 4 and −4; 6 and −6).
Answer:
A.) All the observations are the same value
Step-by-step explanation:
One of the statistical measures used to determine the spread or variability of a dataset is the variance or standard deviation. The standard deviation determines how a set of value varies about the mean value.
Mathematically,
Variability or spread = mean + number of standard deviations
Hence, a standard deviation of 0 ; means they there is no variability in the dataset. Hence, a standard deviation of 0 means all observations are of the same value.
For a set of data with a standard deviation of 0, the correct option is:
A: "All the observations are the same value."
What is the standard deviation?
For a given set {x₁, x₂, ...} with N elements.
With a mean M, we define the standard deviation as:
[tex]S= \sqrt{\frac{\sum (x_i - M)^2}{N - 1} }[/tex]
Notice that, because we have a squared element in the sum, all the elements of the sum are positive. So if we have a single value of the set that is different than the mean, then the standard deviation will be larger than zero.
Then the only case where the standard deviation is zero is the case where all the elements of the set are equal to the mean of the set, and that only happens if all the elements of the set are equal.
So the correct option is A:
"All the observations are the same value. "
If you want to learn more about standard deviation, you can read:
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The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological test that measures the degree to which Mexican Americans are adapted to Mexican/Spanish versus Anglo/English culture. The range of possible scores is 1.0 to 5.0, with higher scores showing more Anglo/English acculturation. The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8. A researcher believes that Mexicans will have an average score near 1.7 and that first-generation Mexican Americans will average about 2.1 on the ARSMA scale.
What proportion of the population used to develop the test has scores below 1.7? Between 1.7 and 2.1?
Answer:
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Step-by-step explanation:
When the distribution is normal, we use 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.
The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8.
This means that [tex]\mu = 3, \sigma = 0.8[/tex]
What proportion of the population used to develop the test has scores below 1.7?
This is the pvalue of Z when X = 1.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
Between 1.7 and 2.1?
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.7.
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 3}{0.8}[/tex]
[tex]Z = -1.13[/tex]
[tex]Z = -1.13[/tex] has a pvalue of 0.1292
X = 1.7
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
0.1292 - 0.063 = 0.0662
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Kyla sold her laptop to Fely in a condition that Fely should give he a downpayment of Php8,000 and Fely will pay her Php1,000 every month for 1 year .if the money ears 0.5% compound monthly what is the market value of Fely's offer?
Salim had a flock of 300 chickens 15% of which are infected with a virus he plans on taking a SRS of 7 chickens to test for the virus.
Answer:0.011
Step-by-step explanation:
The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of the infected chicken is 15%.
Which can be written as,
P(infected) = 15%
= 15/100
= 0.15
Then, the probability of not getting infected chicken is,
P(not infected) = 1 - 0.15
= 0.85
The total number of chicken for test = 7.
Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.
The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.
For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.
Thus, the probability is given as,
P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³
Hence, the probability that exactly 4 of the 7 chickens sampled have the virus is ⁷C₄(0.15)⁴(0.85)³.
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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".
360,000 = X% of 4000000
Answer:
09
Step-by-step explanation:
PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a
#2) -p^6
#3) 5n^2
#4) -10n^4+9-7n^5+n^6
it is 9a+2-6a is 3a+2
it is -p^6 is -531441
5n^2 is 25n2
-10n^4+9-7n^5n^6 i di not know
state whether the two triangles are similar, and if so, by which theorem? justify your answer
Answer:
it's a congruent triangle and the scale factor is 2
Step-by-step explanation:
i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.
Which of these are
AAS, HL, SAS, SSS OR ASA
Answer:
1. HL
2. ASA
3. AAS
4. SSS
Step-by-step explanation:
1. The hypotenuse and right angle of one triangle is congruent to the other triangle's hypotenuse and right angle, proving the hypotenuse-leg congruency theorem (HL).
2. The two angles and their included side (the side between the two angles) of a triangle match those of the other triangle, proving the angle-side-angle congruency theorem (ASA).
3. The measures of the side and the two adjacent angles of a triangle are given. They are congruent to the corresponding parts of the other triangle, proving the angle-angle-side congruency theorem (AAS).
4. All side lengths of one triangle are given, matching the corresponding sides of the other triangle. This proves the side-side-side congruency theorem (SSS).
I hope this helped!
What is 100x100000000000000000000000000000000000. Show work
Answer:
1e + 37
Step-by-step explanation:
the work is to much!
You buy a new graphing calculator for $125. Graphing calculators hold their value very well, and only depreciate
at a rate of 0.5% per year. How much will your calculator be worth in 5 years when you are done using it in
college?
Depreciation formula :
Amount x (1-rate)^time
125 x (1-0.005)^5
124 x 0.995^5 = 121.91
Answer: $121.91
Help due now pleaseee
Answer:
d
Step-by-step explanation:
base² + Altitude² = Hypotenuse²
x² + 9² = 13²
x² + 81 = 169
x² = 169 - 81
x² = 88
x = [tex]\sqrt{88}[/tex]
[tex]x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}[/tex]
Answer:
option - d
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 +b^2 = 169
b^2 = 169 - 81 = 88
b= [tex]\sqrt{88}[/tex] = [tex]\sqrt{2 x 2 x2 x 11}[/tex] ( take the one doubling out )
[tex]\sqrt[2]{2 x 11 }[/tex] = [tex]\sqrt[2]{22}[/tex]
Guys Please help
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has
If r is 23 cup, how many batches of cookies can Tyra bake
Answer:
53 cookies
Step-by-step explanation:
you divide 1223 and 23, the answer should then be about 53
Which answer choice shows 27.699 rounded to the nearest hundredth?
OA) 27.610
O B) 27.61
OC) 27.70
OD 27.71
He just sold his bike for £1,890, and he brought it for £2,700
What fraction of the original cost did he sell the bike for ?
the graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.
6. look at the graph of the equation x^2+y^2=8. give its domaim and range
7. use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
8. is there any value(s) of the domain of x^2+y^2=8 that passes the verticle line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
Using the concepts of domain and range, we have that:
6. Both the domain and the range of the relation are [-2.826, 2.826].
7. The relation is not a function, as each value of x is associated with two values of y, that is: [tex]y = \pm \sqrt{8 - x^2}[/tex].
8. From item 7, we get that there are no points that pass the vertical line test.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, from the graph of the circle, for item 6, both the domain and the range of the relation are [-2.826, 2.826].
A relation is a function only if each value of x is related to only one value of y. Solving the equation of the circle for y, we have that:
x² + y² = 8.
y² = 8 - x²
y = ±sqrt(8 - x²).
Hence each value of x is related to two values of y, meaning that it is not a function, and for item 8, there are no points that pass the vertical line test.
More can be learned about domain and range of functions at https://brainly.com/question/10891721
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A changes saved
Set up a proportion and use it to solve for x.
2
10
х
3
Answer:
C. 15
Step-by-step explanation:
The following proportional can be set-up for the figure given:
[tex] \frac{x + 3}{x} = \frac{10 + 2}{10} [/tex]
Solve for x
[tex] \frac{x + 3}{x} = \frac{12}{10} [/tex]
[tex] \frac{x + 3}{x} = \frac{6}{5} [/tex]
Cross multiply
[tex] 5(x + 3) = x(6) [/tex]
[tex] 5x + 15 = 6x [/tex]
15 = 6x - 5x
15 = x
x = 15
5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest