Answer:
The confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Step-by-step explanation:
Total number of students = n = 226
We are given that 20% reported being "only" children (no siblings).
Number of students being "only" children (no siblings) [tex]= 20\% \times 226=\frac{20}{100} \times 226=45.6\sim46[/tex]
So, x = 46
[tex]p=\frac{x}{n}=\frac{46}{226}=0.203[/tex]
Z at 95% is 1.96
Formula for confidence interval for sample proportion :
[tex]CI=p \pm Z \times \sqrt{\frac{p(1-p)}{n}}[/tex]
Substitute the values in the formula :
[tex]CI=0.203 \pm 1.96 \times \sqrt{\frac{0.203(1-0.203)}{226}}\\CI=(0.1505,0.2554)[/tex]
Hence the confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Hannah is putting border on the
walls of her bedroom. Her room
is 14 feet long and 10 feet wide.
She bought 50 feet of border.
Will she have enough for
each wall?
How do you know?
Answer:
yes she will
Step-by-step explanation:
just find the perimeter
14+14+10+10 or (14*2)+(10*2)
the add and you get 48 feet
48<50
Hope this helps
Kamal has big feet. Kamal's mom says she wouldn't be surprised if he grew to be 7 feet tall! Kamal's new shoes came in a box that measures 16 inches by 9 inches by 6 inches. What is the volume of the shoebox?
Answer:
864
Step-by-step explanation:
V=lwh
=16×9×6
=864 inches
Answer:
864 is the volume
Step-by-step explanation:
You can find the answer by applying the volume formula Length x Width x Height.
16x9x6= 864
It does not matter in which way you put the order of length, width and height.
Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE
Answer:
<CAB and <DAE are vertical angles
<EAB and <CAD are vertical angles
Step-by-step explanation:
this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.
Options B and D are correct. The vertical angles are ∠CAD and ∠BAE AND ∠EAB and ∠CAD.
Vertical angles are angles that are opposite to each other in line geometry. The size of the angles must be the same.
According to the diagram shown, we can see that ∠CAD and ∠BAE are opposite to each other with similar measures.
This means that both angles are vertically opposite. he same is applicable to ∠EAB and ∠CAD.Hence the vertical angles are ∠CAD and ∠BAE AND ∠EAB and ∠CAD.
Learn more here: https://brainly.com/question/13458452
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Step-by-step explanation:
Adding 10 to both sides of the original equation gets us q = 6(r + 1) + 10. Since q is equal to h(r), we get h(r) = 6(r + 1) + 10 = 6r + 16.
Find the range of p in equation p(x+1) (x-3)=x-4p-2 has no real roots.
Answer:
[tex]\displaystyle p > \frac{1}{4}[/tex].
Step-by-step explanation:
Expand the left-hand side of this equation:
[tex]p\, (x + 1)\, (x - 3) = p\, \left(x^2 - 2\, x - 3\right) = p\, x^2 - 2\, p\, x - 3\, p[/tex].
Collect the terms, so that this quadratic equation is in the form [tex]a\, x^2 + b\, x+ c = 0[/tex]:
[tex]p\, x^2 - 2\, p\, x - 3\, p = x - 4\, p - 2[/tex].
[tex]p\, x^2 - (2\, p + 1)\, x + (p + 2) = 0[/tex].
In this equation:
[tex]a = p[/tex].[tex]b = -(2\, p + 1)[/tex].[tex]c = p + 2[/tex].Calculate the quadratic discriminant of this quadratic equation:
[tex]\begin{aligned}b^2 - 4\, a\, c &= (-(2\, p + 1))^2 - 4\, p\, (p + 2) \\ &= 4\, p^2 + 4\, p + 1 - 4\, p^2- 8\, p = -4\, p + 1\end{aligned}[/tex].
A quadratic equation has no real root if its quadratic discriminant is less then zero. As a result, this quadratic equation will have no real root when [tex]-4\, p + 1 < 0[/tex]. Solve for the range of [tex]p[/tex]:
[tex]\displaystyle p > \frac{1}{4}[/tex].
If f(x)=2x^2+5 √(x-2)
What does f(3)=?
You just got a free ticket for a boat ride, and you can bring along 333 friends! Unfortunately, you have 666 friends who want to come along.
can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for months but i cannot understand it in the slightest. whoever can help out will get marked as brainliest ♥
[any other info will be linked as images]
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1.) Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2.) Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
3.) What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4.) Test the residuals of two other points to determine how well the line of best fit models the data.
5.) Use the line of best fit to help you to describe the data correlation.
6.) Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7.) According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answer:
1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.
2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.
3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.
4) It fits perfectly
5) The data is pretty inconsistent.
6) About 68-69 inches tall
7)About 71-72 inches wide
yeo u had my brain work after this
Step-by-step explanation:
Answer:
other person is correct
Step-by-step explanation:
pls help ASAP for brainliest answer
Answer:
396cm^3
Step-by-step explanation:
The formula for calculating volume of triangular prism is 1/2×bhl (b: base, h : height, l : length)
1/2 × 9 × 11 × 8 = 396cm^3
What is the slope-intercept form equation of the line that passes through (1, 3) and (3, 7)?
Answer:
y=2x+1
Step-by-step explanation:
which graph shows a reflection across the y-axis?
Answer:
A.
Step-by-step explanation:
graph a shows reflection across the y axis
Answer:
the correct answer is B
Step-by-step explanation:
the image for A is incorrect because that would be reflecting across the x-axis
the image for B is correct because it is literally going across the y-axis (ik it sounds very simple but it's true)
the image for C is incorrect because it doesn't even go across the y-axis or x-axis, it's only in the third quadrant
HOPE THIS HELPS!! :D
Can someone help me with B?
Answer:
8
Step-by-step explanation:
12/15 = x/10
cross multiply and you get 120 = 15x
divide both sides by 15, x=8
-4.5(r-2)+3.3 please help
Answer:
-4.5r + 12.3
Step-by-step explanation:
Multiply -4.5(r-2)
-4.5r + 9 + 3.3
Add 9+3.3=12.3
-4.5r + 12.3
Hope this helps plz mark brainliest
Combine like terms to create an equivalent expression.
-2/3a+5/6a-1/6
Answer:
The answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .
Step-by-step explanation:
Solve the following equation:
[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]
Combine [tex]-\frac{2}{3} a[/tex] and [tex]\frac{5}{6} a[/tex] :
[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]
[tex]\frac{1}{6}a - \frac{1}{6}[/tex]
So, the answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .
Answer:
1/6a-1/6
Step-by-step explanation:
Which equation matches the graph?
A. y - 2= 3(× -2)
B. y - 2= 3(×+2)
C. y + 2= -3(×+2)
D. y - 2= -3(x-2)
simplify sqrt of -100
Answer:
There is no answer to any square root to a negative number
Step-by-step explanation:
which table represents a linear function
Answer:
the forth one is linear
Step-by-step explanation:
4sqrt2(sqrt6-3sqrt24)
Answer:
-40\sqrt{3}
-.69.282
Step-by-step explanation:
The length of TR is 17 units. What are the lengths of SV and QT? (please hurry i dont get this question) also i need each individual answer, not SV + QT, I need SV and QT
Answer:
QT = 21SV = 41Step-by-step explanation:
From the diagram, it can be seen that TR is parallel to RV. This means that TR = RV. Given TR = 17 and RV = 3x+2
3x+2 = 17
3x = 17-2
3x = 15
x = 5
RV = 3(5)+2 = 17
QV = 4x+1 = 4(5)+1
QV = 21
Using Pythagoras theorem on ΔQRV to get RQ
QV² = QR²+RV²
21² = QR²+17²
QR² = 21²-17²
QR = 12.33
Using Pythagoras theorem on ΔQRT to get QT
From ΔQRT,
QT² = QR²+TR²
QT² = 12.33²+17²
QR² = 152.0289+289
QT² = 441.0289
QT =21
Since TS = 9(5)-4 = 41
Using Pythagoras theorem on ΔTRS
From ΔTRS,
TS² = RS²+TR²
41² = RS²+17²
RS² = 41²-17²
RS² = 1392
RS = 37.31
Similarly Using Pythagoras theorem on ΔRSV
From ΔRSV,
SV² = RV²+RS²
SV² = 17²+37.31²
SV² = 1681.0361
SV = 41
Answer:
SV=41
QT=21
Step-by-step explanation:
Got it right on ed
The last 2 questions please help me help me please I need help
Answer:
3. 12.5π + 100
6. 25π + 250
Step-by-step explanation:
3. So you can first calculate the area of the square, which is 100.
Then you have to calculate the semicircle.
You can see that the diameter is 10.
The radius is 5.
The area of the semicircle is 12.5π
Total area is 12.5π + 100
6. You have a one rectangle and two semicircles.
You can calculate the area of the semicircles first.
25π
Then, you have to see how much the width of the rectangle is.
You can see that the total width is 35, and the radius of each semicircle is 5.
35 - 5 - 5 = 25
The width is 25 so the area of the rectangle is 250.
The total is 25π + 250.
The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below shows the relationship between f(x) and x: f(x) = 10(1.3)x Which of the following graphs best represents the function? (1 point) Graph of f of x equals 1.3 to the power of x Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity Graph of f of x equals 1.3 multiplied by 10 to the power of x Graph of f of x equals 10 multiplied by 1.3 to the power of x
Answer:
f(x)=3/10x ?
Step-by-step explanation: Guess
3x^2-6×=0 solve for x factor if necessary
Answer:
x =0 x=2
Step-by-step explanation:
3x^2 -6x = 0
Factor out a 3x
3x(x -2)=0
Using the zero product property
3x = 0 x-2 =0
x =0 x=2
Match the vocabulary word to its correct definition. 1. abscissa the variable representing the first elements of the ordered pairs in a function; the inputs 2. dependent variable the second number (or y value) of an ordered pair 3. independent variable the variable representing the second elements of the ordered pairs in a function; the outputs 4. ordinate the first number (or x value) of an ordered pair
Answer:
1. Independent variable
2. Ordinate
3. Dependent variable
4. Abscissa
Step-by-step explanation:
1. The variable representing the first elements of the ordered pairs in a function; the inputs: this is the independent variable or the predictor variables.
2. The second number (or y value) of an ordered pair: Ordinate, also known as the y coordinate
3. the variable representing the second elements of the ordered pairs in a function; the outputs: the dependent variable also known as the response variables or the outcome variables.
4. The first number (or x value) of an ordered pair: abscissa, also called the x coordinate
Answer:
1. the first number (or x-value) of an ordered pair
4
ordinate
2. the variable representing the second elements of the ordered pairs in a function; the outputs
3
independent variable
3. the variable representing the first elements of the ordered pairs in a function; the inputs
2
dependent variable
4. the second number (or y-value) of an ordered pair
1
abscissa
Step-by-step explanation:
find K if the sum of the zeros of the polynomial x square - (K + 6 ) x + 2( 2 k - 1) is half the product
k=7
given a quadratic polynomial
ax^2+bx+c
the sum of the roots is given by -(b/a)
and the product of the roots as (c/a)
hence we get sum of roots as -(-(k+6)/1) and product of roots as (2(2k-1))/1
since the sum is equal to half the Product then we get
k+6=2k-1 and solving for k we get 7
pls help i need to pass this class lol
plz solve ziz m−4+m−5
Answer:
m - 4 + m - 5
= m + m - 4 - 5
= 2m - 9
The answer is 2m - 9Please answer as soon as possible, whoever is first gets the brainliest
Answer:
I'm not sure what to do here
Step-by-step explanation:
What is the inverse of the function f(x) = 2x + 1?
CO
1
h(x) =
Ex-
1
h(x) =
Y+
h(x) =
h(x) =
3x + 2
Save and Exit
Answer:
I am hoping for this to be correct
szdfxgthyjunmklhjuxcgtfrhyuji
Hi!
The negative signs cancel out iin the equation to make a positive 7.
The 4 is already positive.
So that makes it 4 + 7!
Or 7 +4!
Answer choice A.
Hope this helps!
what is the value of n in the equation 4n + 5 = 17
Answer:
n=2
Step-by-step explanation:
4 times 2 equals 12. And 12 plus 5 equals 17.
Answer: n=3
Step-by-step explanation: 4n+5=17
17-5
4n=12/4
N=3