What is the y value in solution the following system?
4x+3y=7
X+2y=-2
(Worth 10 points)
which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rational and whole numbers
Answer: irrational and real numbers
Rewrite the fraction pairs with common denominators
A. 3/20 and 4/5
B. 8/21 and 6/7
C. 2/8 and 4/9
Answer:
a) [tex]\frac{3}{20}[/tex] and [tex]\frac{16}{20}[/tex] = [tex]\frac{19}{20}[/tex]
b) [tex]\frac{8}{21}[/tex] and [tex]\frac{18}{21}[/tex] = [tex]1\frac{5}{21}[/tex]
c) [tex]\frac{18}{72}[/tex] and [tex]\frac{32}{72}[/tex] = [tex]\frac{25}{36}[/tex]
Step-by-step explanation:
a) [tex]\frac{3}{20}[/tex] and [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex] x 4 = [tex]\frac{16}{20}[/tex]
[tex]\frac{3}{20}[/tex] and [tex]\frac{16}{20}[/tex] = [tex]\frac{19}{20}[/tex]
b) [tex]\frac{8}{21}[/tex] and [tex]\frac{6}{7}[/tex]
[tex]\frac{6}{7}[/tex] x 3 = [tex]\frac{18}{21}[/tex]
[tex]\frac{8}{21}[/tex] and [tex]\frac{18}{21}[/tex] = [tex]1\frac{5}{21}[/tex]
c) [tex]\frac{2}{8}[/tex] and [tex]\frac{4}{9}[/tex]
[tex]\frac{2}{8}[/tex] x 9 = [tex]\frac{18}{72}[/tex]
[tex]\frac{4}{9}[/tex] x 8 = [tex]\frac{32}{72}[/tex]
[tex]\frac{18}{72}[/tex] and [tex]\frac{32}{72}[/tex] = [tex]\frac{25}{36}[/tex]
According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100 adults in a certain section of the county found that 65 owned their home. What represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
Answer:
0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.
Step-by-step explanation:
To solve this question, we use the normal approximation to the binomial distribution.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed 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 we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71.
This means that [tex]p = 0.71[/tex]
Sample of 100:
This means that [tex]n = 100[/tex]
Mean
[tex]\mu = E(X) = np = 100*0.71 = 71[/tex]
Standard deviation:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.71*0.29} = 4.5376[/tex]
What represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
This is, using continuity correction, [tex]P(X \leq 65 - 0.5) = P(X \leq 64.5)[/tex], which is the pvalue of Z when X = 64.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.5 - 71}{4.5376}[/tex]
[tex]Z = -1.43[/tex]
[tex]Z = -1.43[/tex] has a pvalue of 0.0764
0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.
[tex]x {}^{2} + 6x = x {}^{2} + 6x[/tex]
is an example of the _______ property .
a. symmetric
b. reflexive
c. transitive
Answer:
a
it's so easy why ask this question?
The mean monthly water bill for 44 residents of the local apartment complex is $104. What is the best point estimate for the mean monthly water bill for all residents of the local apartment complex?
Answer:
$104
Step-by-step explanation:
The computation of the best point estimate for the mean monthly water bill is shown below:
Given that
The mean monthly water bill is $104
and, the number of residents is 44
based on the above information
The best point estimate would be equivalent to the mean monthly water bill i.e. $104
hence, the same would be considered
Answer the following. Round all answers to the nearest hundredths place.
The angle of elevation from point A to the top of the cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how high is the cliff?
Answer:
62.5ft
Step-by-step explanation:
It doesnt matter if there's bumps along the side, the height will still reach to the same point.
Using trigonometry we have a adjacent and the opposite.
Hypotenuse is opposite the right angle
Opposite is opposite the angle
Adjacent is the last side to remain
Soh Cah Toa
We'll be using toa (Tan) because o and a (opposite and adjacent)
rearranging the original formuma :
Side × tan(Angle)
80 × tan (38) =62.50285....ft
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
HELP!! Which figure is a translation of Figure 1? *
Answer:
Figure B
Step-by-step explanation:
A translation moves a certain amount of spaces, but will never turn nor will it rotate.
3. B = {2, 4, 6, 8, 10}
AU B = {1, 2, 3, 4, 6, 8,10 }
An B = {2,4}
Represent the above information on a Venn diagram.
Please help
Answer:
onlyA(1,3)
AnB(2,4)
onlyB(6,8,10)
Step-by-step explanation:
(AUB)-(B)=(onlyA)
(1,2,3,4,6,8,10)-(2,4,6,8,10)=(1,3)
(B)-(AnB)=(onlyB)
(2,4,6,8,10)-(2,4)=(6,8,10)
hope this can help you
Answer: sorry but i need points
Given quadrilateral QRST - quadrilateral HIJK, QR = 10, QT = 6, and HI = 8, find KH.
Answer:
B. 24/5
Step-by-step explanation:
QR = 10
QT = 6
HI = 8
Quadrilateral QRST ~ quadrilateral HIJK, therefore, their corresponding side lengths would be proportional to each other.
This:
QR/HI = QT/HK
Plug in the values
10/8 = 6/HI
Cross multiply
10*HI = 8*6
10*HI = 48
Divide both sides by 10
HI = 48/10
HI = 24/5
Answer:
B. 24/5
Step-by-step explanation:
Hope this helps
Help!!! Please!!! I’ll mark you brainliest first person to answer!!! :)
What triangle is formed by the points (3,2 ) , 4, 7 and 5,6 ?
Answer:
Isosceles
Step-by-step explanation:
I'm not 100% sure but i believe its an isosceles.
Answer: the answer is A if ur on a iready test
Step-by-step explanation: they both are pointing to a
In ΔQRS, r = 89 inches, s = 32 inches and ∠Q=116°. Find ∠R, to the nearest degree.
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
9. Jennifer left the Visitor Center at 3:30 P.M. after spending
40 minutes there. At what time did she arrive?
10. A football game lasted 2 hours and 37 minutes. It finished
at 4:22 P.M. When did it start?
A 1:45 P.M. B 1:55 P.M. C 2:45 P.M. D
11. Explain It What is 1 hour and 35 minutes before 4:05 P.M.?
Explain how you solved this problem.
Type answer here
Answer:
9. 2:50 . she left after 40 minutes meaning you have to subtract 3:30 and 40 . so 30 mins is 3:00 and then you take away another 10 to make it 40 minutes ago and you get 2:50 pm
2800cm cubed into litres
Answer: 2.8 liters
Please mark as brainliest
Step-by-step explanation
divide by the volume of 1,000
2,800 divided by 1,000 is 2.8 so it is 2.8 liters
Determine whether the given value is a solution of the equation.
7w = 73; w = 10
Step-by-step explanation:
When w=10, 7w=7×10=70
But the given value of 7w is 73.
So, the given value is not a solution of the equation.
For the afternoon showing of a film, a
theater sold 100 tickets, each of
which was either a $7.50 ticket for a
child or a $10.00 ticket for an adult. If
the theater collected a total of
$812.50 for the tickets, how many
adult tickets were sold?
A. 20
B. 25
C. 40
D. 60
Answer:
B. 25
Step-by-step explanation:
The computation of the no of adult tickets sold is shown below;
let us assume the number of child ticket be x
And, for adult ticket be y
Now as per the questions
x + y = 100
7.50x + 10y = 812.50
Multiply by 7.50x in equation 1
7.50x + 7.50y = 750
7.50x + 10y = 812.50
-2.50y = -62.50
y = 25
Hence, the number of adult ticket sold is 25
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
. On a playground, there are 25
children, either riding on seesaws,
two per seesaw, or swinging on tire
swings, three per swing. If the total
number of seesaws and swings
combined is 9, what is the maximum
number of tire swings on the
playground?
A. 1
B. 2
C. 7
D. 8
Help
Me ? I’m marking brainlist
Answer: I belive the answer is C
Step-by-step explanation:
22. Eight people equally share 3 pizzas. How much pizza does each person recieve?
oc
Answer:
About 2.6 pizza's each. (round it however you see fit)
Step-by-step explanation:
Hope this helps!! Have a good day and remember to be tiger fierce!! :)
Answer:
3/8
Step-by-step explanation:
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answer:
C
Step-by-step explanation:
engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 0.9 in. find p99. that is, find the hip breadth for men that separates the smallest 99% from the largest 1%.
Answer:
x = 16.45 inches
Step-by-step explanation:
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. Men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1 inch. find P98. I really don't understand, help needed please.
-----------------------
Find the z-value with a left tail of 0.98
invNorm(0.98) = 2.0537
-----
Find the corresponding x-value using x = zs+u
----
x = 2.0537*1+14.4
---
x = 16.45 inches
=====================
What is the measure of x?
3
27
Z
Х
x = ?
Answer:
x = √810
Step-by-step explanation:
Using the leg rule, which is given as:
Hypotenuse/leg = leg/part
Thus:
Hypotenuse = 27 + 3 = 30
leg = x
Part = 27
Plug in the values
30/x = x/27
Cross multiply
x*x = 30*27
x² = 810
x = √810
PLEASE HELP ME !!!!!
Answer:
Step-by-step explanation:
1.values of x at y=0 are 1
2.5
3.
(3,-4)
4.
it is a minimum.
5.
axis of symmetry is x=3
Is this A,B,C or D helppppp
Answer:
D
Step-by-step explanation:
D goes thru positive 4 and negative 3
A method currently used by doctors to screen for possible bre canc fails to detect canc in 15% of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect canc more accurately. A random sample of 70 women known to have br canc were screened using the new method. Of these, the new method failed to detect can in six.
A. Specify the null and alternative hypothesis that the researchers wish to test.
B. Is the sample large enough
Step-by-step explanation:
1.sample size n = 70
X = 6
We calculate the sample proportion
P^ = 6/70
= 0.0857
The population proportion = 15 percent
P = 15/ 100
= 0.15
The question says we should specify the hypothesis
Null hypothesis
H0: p = 0.15
Alternative
H1: P < 0.15
2.
The sample size is 70 and therefore large enough
Help!! Whoever tries gets brainliest!
Answer:
q: quarters, 2q, 2q + 22, & 3(2q+22)
Step-by-step explanation:
A: The variable “q” will be the number of quarters
B:
2q will be the numbers of dimes
2q+22 will be the numbers of nickels
3(2q + 22) will be th number of pennies
Final question - whats the answer?
Answer: 7^5 or 7 to the fifth power.
Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5