Answer:
The test statistic is [tex]z = 1.25[/tex]
Step-by-step explanation:
We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.
At the null hypothesis, we test if the proportion is 80%, that is:
[tex]H_0: p = 0.8[/tex]
At the alternate hypothesis, we test if the proportion is more than 80%, that is:
[tex]H_a: p > 0.8[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
80% is tested at the null hypothesis:
This means that [tex]\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]
A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.
This means that [tex]n = 100, X = \frac{85}{100} = 0.85[/tex]
The test statistic is
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]z = 1.25[/tex]
The test statistic is [tex]z = 1.25[/tex]
The graph of a proportional relationship and an equation are shown.
What is the greater unit rate?
Answer:
Graph has the greater unit rate.
Step-by-step explanation:
From the graph attached,
Since, graph shows the proportional relationship,
y ∝ x
y = kx
Here, k = unit rate
If the line given in the graph passes through (0.2, 1.5)
Slope of this line will be,
k = [tex]\frac{1.5}{0.2}[/tex]
k = 7.5
Therefore, unit rate = 7.5
Equation of the line given in the question is,
[tex]y=\frac{11}{2}x+3[/tex]
Comparing this equation with the y-intercept form of the equation,
[tex]y=mx+b[/tex]
Slope of this line 'm' = [tex]\frac{11}{2}[/tex]
= 5.5
Unit rate of the given equation = 5.5
Therefore, graph has the greater unit rate.
Find the quotient for 5,600÷8
Answer:
700
Hope this helps!!
Answer:
700
Step-by-step explanation:
if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number
9514 1404 393
Answer:
900
Step-by-step explanation:
Let x represent the number. The given relationship is ...
(3/5)x = 2 +(2/3)x
-2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides
-30 = x . . . . . . . . . . multiply by 15
Then the square of the number is ...
x² = (-30)² = 900
I really need help plsssssssssssssss help
Answer:
first spot 10, second 16, third 18, fourth 22
Answer:
The expression that represents the table is
y=4+2x
when x=3
y=4+2(3) = 10
When x=6
y=4+2(6)= 16.
Do this for all the values of x and you'll get the corresponding value for y
10
16
18
22.
Your answer would be
What is the coefficient in this equation? 140 - 6 = 28
Answer:
There is none there is no variable.
Step-by-step explanation:
Hope this helps!!
Answer:
there is no co efficient a co efficient is the constant before the variable when its attached.
Find the measure of each angle indicated (quadrilaterals)
Answer:
The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly. Of the objects that orbit the Sun directly, the largest are the eight planets, with the remainder being smaller objects, the dwarf planets and small Solar System bodies.
Step-by-step explanation:
Answer:
its 75
parallel angle degrees always should be 360
What value(s) for n will make this expression true?
3.5 and -3.5
3.5 only
nl = 3.5
0 and 3.5
-3.5 only
Integration of ∫(cos3x+3sinx)dx
Answer:
[tex]\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}[/tex]
Step-by-step explanation:
We need to integrate the given expression. Let I be the answer .
[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]
Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx . Now , Rewrite using du and u .[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]
please help me. justify your answers!
Answer:
g. True
h. False
i. False
Step-by-step explanation:
g.
[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]
This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]
If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]
The numerator is 1 * 1 which is 1
And then the denominator is 7 * 2 which is 14
That would give you [tex]\frac{1}{14}[/tex]
h.
The products of two reciprocals is 0
This is not true
Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.
Ex: [tex]\frac{2}{8}[/tex]
Its reciprocal is [tex]\frac{8}{2}[/tex]
So multiply them together
[tex]\frac{2}{8}* \frac{8}{2}[/tex]
2 * 8 = 16
8 * 2 = 16
[tex]\frac{16}{16} = 1[/tex]
i.
A whole number does not have a reciprocal
This is incorrect. If you think about it, a whole number is just the number, over 1
Ex: [tex]\frac{6}{1}[/tex]
This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.
If you an write it as a fraction, it has a reciprocal.
The reciprocal in this case would be [tex]\frac{1}{6}[/tex]
I hope this helps, don't be afraid to reach out with any further questions!
Answer:
T, F, F
Step-by-step explanation:
find the slant height of a cone whose height is 15 cm and whose radius is 8 cm
Answer:
Right circular cone
Solve for slant height
l=17cm
r Radius
8
cm
h Height
find 3/5% of $90,000
Which expression has a value of 7/12?
1. 2 1/12 + 5 1/12
2. 6/8 + 1/4
3. 1/3 + 1/4
4. 7/8 + 4
Answer: 3. 1/3 + 1/4
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
4/12 + 3/12 = 7/12
You went to a bake sale and bought a whole bunch of
yummies!
Cookies were $1 and Brownies were $2. You spent
$13 total.
What are three combinations of cookies and brownies
that you could have gotten?
Write an equation that represents this situation.
Answer:
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
Step-by-step explanation:
1) You can buy 4 brownies for $2 each = 2*4 = $8
The rest you can buy cookies = 5 cookies = $5
$8+$5=$13
2) You can buy 5 brownies and 3 cookies = $10+$3 = $13
3) You can buy 3 brownies and 7 cookies = $6+$7=$13
Equation: -
If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y
∴ $1*(x*1) + $2*(y*1) = $13
At the fair, 2 corn dogs and 3 pretzels cost $13, and 5 corn dogs and 6 pretzels costs $28. How much
would 2 pretzels and a corn dog cost??
A ladder that is 15 feet long is leaning against the side of a building. If the angle formed between the ladder and the ground is 70 degrees, how far is the bottom of the ladder from the building?
Answer:
need help too
Step-by-step explanation:
Answer:
5.13 feet...take the horizontal component using given data..
A family on vacation drove a total round-trip distance of 735.75 miles. They traveled
for 7 hours in one direction and 6.5 hours on the return trip. What was their average
speed for the entire trip?
Answer:
speed = 54.5 miles/hr
Step-by-step explanation:
speed = distance/time
distaance = 735.75
time = 7 + 6.5 = 13.5
speed = 735.75 / 13.5
speed = 54.5 miles/hr
The point (-8,0) reflected in the x-axis is
Answer:
That would be (8,0) my good sir ( ma'am )
Step-by-step explanation:
Have a nice day
7.
Reason The dot plot shows the numbers of pages students
in a class read during their dedicated reading time.
A. How many students are in the class?
B What percent of students read more than 6 pages?
Explain your reasoning
Pages Read During
Dedicated Reading Time
What fraction of the students read less than 5 pages?
D. How many total pages did all of the students read? Show your work
id speaker notes
Step-by-step explanation:
7equitacion h< y ⚽ de los siguientes dominios
A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall
Answer:
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Step-by-step explanation:
Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.
To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?
Proof -
From the given information, the figure becomes
Triangle ABC and Triangle DBE are similar triangle
AC/DE = BC/BE
⇒h/6 = 200/(200-x)
⇒h = 1200/(200 -x)
Now,
Differentiate h with respect to t, we get
[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]
Now,
If the rate of the tip is moving down the wall
At x = 50 feet, dx/dt = 30 feet per second
So,
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]
So, we get
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Help me out please???
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = 14.
math question????????
Answer:
Answer C
Step-by-step explanation:
Answer:
answer c
Step-by-step explanation:
trust me
URGENT... please help
Aliyah had $54 to spend on 5 bracelets. After buying them she had $4. How much did each bracelet cost? Each bracelet costs Question Blank type your answer... dollars.
Solve for c.
a(c+b) = d
Answer:
c = (d/a) - b
Step-by-step explanation:
a(c + b) = d
Divide both sides by a
c + b = d/a
subtract b from both sides
c = (d/a) - b
If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to "complete the square"?
Answer:
49
Step-by-step explanation:
the number would simply be
14÷2=7
7²=49
find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5
Please help me solve this problem
Answer:
72 in²
Step-by-step explanation:
lateral area: the surface area of a 3D figure, but excluding the area of any bases
the lateral area of this prism is the sum of the three rectangular sides.
calculate the third side of the triangle first because it's also the side of one of the rectangle:
√(5² - 4²) = 3
4 × 6 + 5 × 6 + 3 × 6 = 72
IM just a little bit slow
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
x = 4
∠R = 71°
Step-by-step explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
[tex]31 - 3x + 19x - 5 = 90[/tex]
To make this problem easier to solve, we can combine like terms.
[tex]26 + 16x = 90.[/tex]
Now, we can proceed.
First, subtract 26 from 26 and 90.
[tex]26 - 26 = 0.[/tex] (cancels itself out).
[tex]90 - 26 = 64.\\[/tex]
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
[tex]64/16 = 4[/tex]
Therefore, the value of x is 4.
-------------------------------------------------------------------------------------------------------------
Now that we have the value of x, we can use this value to replace the variable (x).
[tex]19x - 5[/tex]
[tex]19 * 4 - 5 = 71.[/tex]
Therefore, the value of ∠R is 71°.
just need a bit of help
Answer:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
Hi I need help please
Answer:
Trapezoid. Big to small = 3:1
Square. Enlargement
Step-by-step explanation:
base 1 of trapezoids respectively big to small are 6:2 or 3:2
The purple shape is an enlarged form of the black square.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K