Answer:
[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define significance level
In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:
Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]
=> [tex]z[/tex] = [tex]-1.645[/tex]
Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])
[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083
[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083
Step 3: Apply the formula to check test statistic:
[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]
with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.
The null hypothesis will be rejected if [tex]K < z[/tex]
Step 4: Calculate the value of K and compare with [tex]z[/tex]
[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]
We have [tex]-2.46 < -1.645[/tex]
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As [tex]H_{1}[/tex] states)
Hope this helps!
:)
Which sentence below is true? A. All trapezoids are squares. B. All parallelograms are squares. C. All squares are rectangles. D. All rectangles are squares.
Answer:
b
Step-by-step explanation:
Scratchpad
The value of b when solving the equation 2 (b+12)=16
Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
What is an equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18?
Answer:
y = -3/4x - 2
Step-by-step explanation:
You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.
The equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
Here,
The point is (8, -8)
And, The equation of line is, 4x - 3y = 18
What is Equation of line?
The equation of line passes through points (x₁, y₁) and has slope m is;
y - y₁ = m₂ (x - x₁)
Now,
The point is (x₁, y₁) = (8, -8)
And, The equation of line is, 4x - 3y = 18
Put into the slope form as;
4x - 3y = 18
4x - 18 = 3y
y = (4/3)x - 6
Hence, Slope of the given line = 4/3
The slope (m₁) of perpendicular line relationship is;
4/3 * m₂ = -1
m₂ = -3/4
Hence, slope of perpendicular line (m₂) = -3/4
So, The equation of line by using point/slope form is;
y - y₁ = m₂ (x - x₁)
y - (-8) = -3/4 (x - 8)
y + 8 = -3/4 (x - 8)
4 (y + 8) = -3 (x - 8)
4y + 32 = -3x + 24
3x + 4y = -8
Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
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What two integers multiply to be 20 and add to be 12
Answer:
10 and 2
Step-by-step explanation:
[tex]10*2=20\\\\10+2=12[/tex]
Answer:
10 and 2
Step-by-step explanation:
Use trial and error method Or, I recommend finding the factors of 20.
The first ones that come to mid would be:
10, 2
4,5
20,1
Then we try each of them out, by adding the corresponding factors.
this way, we see that 10 and 2 are the only ones.
Please mark brainiest
Paloma ran 33/4
miles around the school track. If each lap is 1/2
mile, how many laps did she run?
Explain how to find the answer.
Answer:
16.5
Step-by-step explanation:
[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5
Answer:
16 1/2 or 33/2
Step-by-step explanation:
i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2
A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.
Answer:
6.13 days
Step-by-step explanation:
Hello,
This question directly relates to radioactivity of a substance.
Data,
k = 0.113
Initial mass (No) = 38g
Half life of the substance (T½) = ?
To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.
T½ = ln2 / k
Note : ln2 is a constant derived while k is the decay constant of the substance
T½ = 0.693 / 0.113
T½ = 6.13 days
The half life of the substance is 6.13 days
What is the area of the rhombus shown below?
O
C
O A. 127.5 square units
O B. 255 square units
BI = 15
O C. 16 square units
A
11.2
O D. 190.4 square units
Answer:
It's A 100%
Step-by-step explanation:
Took the quiz
Which of the following describes how to translate the graph y = lxl  to obtain the graph of y = lxl -4
Answer: 4 units down.
Step-by-step explanation:
When we have the graph y = f(x)
We can do verticals translations as:
y = f(x) + a.
if a is a positive number, the new graph for y is moved a units upside.
if we want to do a translation down, we should do:
y = f(x) - a.
Now, our f(x) = IxI, and our translation is:
y = IxI - 4
You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.
The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present ages..............................Pls i need help
Answer:
20 and 28
Step-by-step explanation:
Let x represent the current age of Hari and y represent the current age of Harry
Since the current ratio is 5:7:
5/7 = x/y
→ 5y = 7x (1)
Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:
3/4 = (x+4)/(y+4) (2)
→ 3(y+4) = 4(x+4)
→ 3y + 12 = 4x + 16
→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)
→ 3(7x/5) = 4x + 4
→ 21x = 20x + 20
→ x = 20
y = 7x/5 = 7(20)/5 = 28
determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12
Answer:
Infinitely many solutions
Step-by-step explanation:
Since you already have y isolated in one equation, you can plug it in and use it in the other equation
2y = 8x + 12
2(4x + 6) = 8x + 12
8x + 12 = 8x + 12
Get the x's to one side
12 = 12
Meaning you have infinitely many solutions.
Try plugging in any x value you can think of and the left side will always equal the right side. so
x = 0 --> 8(0) + 12 = 8(0) + 12
12 =12
x = 1 --> 8(1) + 12 = 8(1) + 12
20 = 20
and so on.
I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12
Someone answer ASAP pleaseee
Answer:
1. (4,2) and (-2,-4)
2. (6,3) and (3,-6)
3. (1,8) and (7,-4)
Step-by-step explanation:
I’ll mark you brainliest!!!! Use the function to find f(-4).
Answer:1/16
Step-by-step explanation:
So I plugged in -4 for x
f(x)=2^-4= 1/16
hope that helps
Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommendation, what is the minimum amount of calories from protein an adult should consume from an 1,800 calorie diet?
Answer:
360-540 calories
Which of the following equations is equivalent to S = pi r squared h?
Q: Which of the following equations is equivalent to S = pi r squared h?
A: B (CC ALGEBRA 2A, ED20)
The equations is equivalent to S = pi r squared h would be; B. h=S/πr²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.
S = πr²h
To get h, we needd to divide both sides by the coefficient of h (i.e πr²)
S/πr² = πr²h/πr²
S/πr² = h
h = S/πr²
This equation shows that h = S/πr² is equivalent to S = πr²h
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Please help me with my question!!
Answer:
B,C
Step-by-step explanation:
The sum of B is 1
The sum of C is -1/2
Let's try each option.
Option A:
-3 + 5 + (-1) = 2 + (-1) = 1
FALSE
Option B:
5 + (-8) + 4 = -3 + 4 = 1
TRUE
Option C:
-19/2 + 9 = -9.5 + 9 = -0.5
TRUE
Option D:
-17 + 36/2 = -17 + 18 = -1
FALSE
So, the correct answers are B and C
Best of Luck!
Select all of the equations for which x = -1 *
1 point
x + 1 = 0
3x = -3
x - 9 = -8
5x = -5
Help please with this question
Answer:
The third graph down
Step-by-step explanation:
-2.1 w > 12.81
Divide each side by -2.1, remembering to flip the inequality
-2.1w / -2.1 < 12.81/ -2.1
w < -6.1
There is an open circle at -6.1 and the line goes to the left
Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info
Step-by-step explanation:
I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1
Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.
Now for the little circle on the -6.1:
A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly
What is the length of the side labeled x?
Answer:
AB = 42.15 units
Step-by-step explanation:
In triangle ABD,
By applying Cosine rule in this triangle,
cos(30)°= [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{AD}{AB}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{AD}{47}[/tex]
AD = [tex]\frac{47\sqrt{3}}{2}[/tex]
By applying tangent rule in ΔACD,
tan(44)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(44)° = [tex]\frac{AD}{x}[/tex]
0.9657 = [tex]\frac{\frac{47\sqrt{3}}{2}}{x}[/tex]
0.9657 = [tex]\frac{47\sqrt{3}}{2x}[/tex]
x = [tex]\frac{47\sqrt{3}}{2(0.9657)}[/tex]
x = 42.15
≈ 42.2 units
4. Bailey just ran four miles outside. Her time for each mile was 9.05/2,24/10/922. How long did it take for her to run all four miles?
Answer: 30 minutes, 51 seconds
Step-by-step explanation:
Given the time to run each miles to be
9.05/2,24/10/922. That is
9.05, 2.24, 10, 9.22
Time taken for her to run the entire four miles will be
9.05 + 2.24 + 10.0 + 9.22 = 30 :51
30 minutes, 51 seconds
Let f(x) = 4x2 + x + 1 and g(x) = x2 − 2. Find g(f(x)). Show each step of your work.
Answer:
the answer to this question is
[tex]8x^{2} +2x[/tex]
£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Mark get?
Answer:
Mark gets £54
Step-by-step explanation:
Let Gavin share=x
Henry=3x
Mark=2(3x)
x+3x+2(3x)=£90
x+3x+6x=£90
10x=£90
x=9
Gavin=x=£9
Henry=3x
=3(9)=£27
Mark=2(3x)
=2(3*9)
=2(27)
=£54
What is the measure of AC?
Answer:
C. 116
Step-by-step explanation:
AC= 58*2= 116
Answer:
C
Step-by-step explanation:
The measure of the inscribed angle ABC is half the measure of its interceptrd arc AC, thus
arc AC = 2 × 58° = 116° → C
Will give brainliest :) What is the domain of the graphed function?
Answer:
D: { x≥0}
Step-by-step explanation:
The domain is the input values to the function
The domain is the x values
D: { x≥0}
Answer:
Brainliest! as you promised!
Step-by-step explanation:
x>= 0
every number above 0 is a answer becuase the domain is the x-axis and the line starts at 0 and keep on going to the right
when costprice and selling price is given how to calculate weather it is loss or profit?
Answer:
Selling price - cost price = profit, when Selling Price is more than Cost Price
Cost price - selling price = loss, when cost Price is more than sellIng Price
Plzzzzz i need help fast
What’s the answer ??
Answer:
-5^x-3x-6
Step-by-step explanation:
(-5^x - 4 + g(x) ) (x)
(-5^x - 4 - 3x -2) simplified -5^x-3x-6
Answer:
-5^x -3x -6 = A[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]
[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]
[tex] - {5}^{x} - 3x - 6[/tex]
Which of the following shows the graph of y=-(2)^x-1
Answer:
option c
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
g(-8) = -62
Step-by-step explanation:
solve for x:
8x +2 = -62 subtract 2 from each side
8x =-64 divide by 8
x =-8
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz
Answer:
Multiply 8 and 3
Step-by-step explanation:
6+ (-5-7/2) -8(3)
Using the order of operations
BODMAS
•BRACKET
•OFF
•DIVISION
•MULTIPLICATION
•ADDITION
•SUBTRACTION
The first step is to deal with the bracket
Which is
6+(-5-7/2)-24
Next is solve the next parenthesis
6+(-12/2)-24
Next
6+(-6)-24
Next
6-6-24
= -24
Answer:
A is correct answer
Step-by-step explanation:
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!
Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =