Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%. The test statistic is
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]
Evaluate 9.3p + 8.7r when p=6 and r=7 .
Answer:
116.7
Step-by-step explanation:
Given: p = 6, r = 7
Plug in 6 for p, and 7 for r in the given expression:
9.3p + 8.7
9.3(6) + 8.7(7)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
First, multiply:
9.3 * 6 = 55.8
8.7 * 7 = 60.9
Next, add:
55.8 + 60.9 = 116.7
116.7 is your answer.
~
Answer:
9.3p + 8.7r when p=6 and r=7 .
substituting value
9.3*6+8.7*7
55.8+60.9
116.70is a required answer.
PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm
Answer:
135cm^3
Step-by-step explanation:
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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References
what is the answer to this?
Answer:
This is the answer:
330550=
Find the distance between points F and H.
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answer:
There is a 10 percent increase
which one is right please help
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation:
25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the ratio of the prism's new volume to its original volume.
A.8:1
B.2:1
C.4:1
D.16:1
Answer:4:1
Step-by-step explanation:
Work out the value of angle x
Answer:
Its an Isosceles triangle. The two bases are equal
So
x= 180-(62+62)
x=56°.
Answer:
x = 56
Step-by-step explanation:
As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.
Solve equation by using the quadratic formula.
6x² – 2x=8
Answer:
D
Step-by-step explanation:
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
find any domain restrictions on f(g(x))
f(x)= square root x-3 and g(x)=x+5
Answer:
[tex]x \ge -2[/tex]
Step-by-step explanation:
The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.
[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].
But in the function f(g(x)), the input to f is g(x) = x + 5, so x + 5 must be greater than or equal to 3.
[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]
Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function. See if it helps to call the domain of g by the name x, and the domain of f by some other name.
[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]
The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]
Suppose that your drawer contains 8 AAA batteries but only 6 of them are good. If you randomly select 4 batteries what is the probability all 4 will work ?
Answer:
Step-by-step explanation:
[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]
Step-by-step explanation:
the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work
HELP ASAP! I will GIVE BRAINLY !! Need the whole answer please :(
Answer:
y = -1/2x + 1
Step-by-step explanation:
use 2 points to find slope, i used: (0,1) (4,-1)
m = 1-(-1) / 0-4
m = 2/-4
m = -1/2
as seen in graph, y-intercept is 1
∴ y = -1/2x + 1
Answer:
y=-2/4x+1
Step-by-step explanation:
the slope would be rise/run and y-intercept is wherever the line crosses the y-axis
Pls help me pls pls I beg you
Answer:
3/32 in³
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the length, width, and height.
[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]
Therefore, the volume is 3/32 in³.
The function graphed to the left is function. The curve has and continues infinitely in one direction. Each y-value is each corresponding x-value.
Answer:
1. A square root
2. one distinct endpoint
3. The square root of
on edg
have a nice day! :)
Step-by-step explanation:
1. The function graphed to the left is function. A square root
2. The curve has and continues infinitely in one direction.
one distinct endpoint
3. Each y-value is each corresponding x-value. the square root of
what is square root function?The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.
1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.
The graph shown is known as the graph for square root functions.
2. The curve has one distinct end point and continues infinitely in one direction.
3. The square root of each corresponding x-value.
Each value of y is the corresponding square root of x- values.
Learn more about this concept here:
https://brainly.com/question/14231651
#SPJ2
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.
Answer:
Step-by-step explanation:it’s c
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)
Answer:
20 square meters
Step-by-step explanation:
area = length x width
area of grass = 4 x 4 = 16
area of grass and cement = 6 x 6 = 36
Now you subtract to find the area of the cement.
36 - 16 = 20
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
Help please!!! Best answer will get brainliest!!!
Given f(x) =
2 cos(7x), for x < -1
2
for x > -1
COS (1x)
What is lim f(x)?
X - - 1
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]
And we want to find:
[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]
So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:
[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]
Since we are approaching from the left, we will use the first equation:
[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]
By direct substitution:
[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]
Right-Hand Limit:
[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]
Since we are approaching from the right, we will use the second equation:
[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]
Direct substitution:
[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]
So, we can see that:
[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]
Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:
[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]
Our answer is A.
Answer:
AAAAAAAAAAAAAAAAA
Step-by-step explanation: EDGE 2022
Find the area of the shape shown below. Can someone please help?
Answer:
240 units²
Step-by-step explanation:
Rectangle = 20x10=200
2 triangles = 2x1/2x4x10=40
200+40=240
Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
Solve for x.
17
6
15
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
The nth term of a sequence is given by 2n²+1.Write down the first four terms of the sequence.
Answer:
2(1)²−1= 1
2(2)²−1= 7
2(3)²−1= 17
2(4)²−1= 31
2(5)²−1= 49
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD