Answer:
The correct option is (C).
Step-by-step explanation:
Missing information:
According to a university of wildlife ecology and conservation researcher, the average level of mercury uptake in wading birds in a region has declined over the past several years. Five years ago, the average level was 16 parts per million. Give the null and alternative hypotheses for testing whether the average level today is less than 16 ppm.
The hypothesis can be defined as follows:
H₀: The average level of mercury uptake in wading birds in a region is 16 ppm, i.e. μ = 16.
Hₐ: The average level of mercury uptake in wading birds in a region is less than 16 ppm, i.e. μ < 16.
A Type I error is the rejection of a null hypothesis (H₀) when indeed the null hypothesis is true. It is symbolized by α.
In this case the type I error can be defined as:
Concluding that the average level of mercury uptake in wading birds in a region today is less than 16 parts per million, when in fact, the average level of mercury uptake in wading birds in a region today is equal to 16 parts per million.
The correct option is (C).
In which set does -15/2 belong? Answer choices: Rational numbers
Integers
Whole numbers
All of the above
Answer:
Rational numbersStep-by-step explanation:
When an integers or a whole number is divided by another integer or whole number the result is a whole number.
Hence [tex]\frac{-15}{2}[/tex] is a rational number
This is because both -15 and 2 are integer numbers
Answer:
rational
Step-by-step explanation:
A box containing 15 DVDs is selling for $156.00. The box contains some
DVDs worth $11.00 each and some DVDs worth $9.00 each. Which system of
equations can be used to determine x, the number of $11.00 DVDs, and y, the
number of $9.00 DVDs?
Answer:
Step-by-step explanation:
x + y = 15
11x + 9y = 156
A restaurant sees about 600 orders on Tuesday. This is down from last Tuesday by about 0.85%. How many did they see last Tuesday
Answer:
Number of orders seen on last Tuesday = 605
Step-by-step explanation:
Number of orders seen on Tuesday = 600
It is given that it is 0.85% less than last Tuesday.
Let number of sales on last Tuesday = [tex]x[/tex]
As per question statement:
Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600
OR
i.e. if we subtract 0.85% of x from x, it must be equal to 600.
[tex]x-\dfrac{0.85}{100}x =600\\\Rightarrow x-\dfrac{0.85}{100}x =600\\\Rightarrow \dfrac{100-0.85}{100}x =600\\\Rightarrow \dfrac{99.15}{100} \times x =600\\\Rightarrow x =\dfrac{600\times 100}{99.15}\\\Rightarrow x =\dfrac{60000}{99.15}\\\Rightarrow x \approx 605[/tex]
So, there were about 605 order seen last Tuesday.
Write the slope-intercept inequality for the graph below. If necessary, use <=
for s or >= for 2.
(5,0)
(0,-3)
Help please
Answer:
Slope intercept y>=3/5x-3
Step-by-step explanation:
Slope intercept of the line: y=3/5x-3
Shaded above, so y>=3/5x-3
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside?
The question is incomplete. The complete question is as follows.
The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?
Temperature(x) Kilowatts(y)
73 680
78 760
85 910
98 1510
93 1170
83 888
92 923
81 837
76 600
105 1800
Answer: The point estimate is 1132.5 Kilowatts
Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.
To find the linear regression model:
1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;
2) Use these equations to find coefficients a and b:
a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²
b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²
3) Substitute the coefficients into the equation of form: y = a + bx
For the table above, the linear regression equation is:
y = - 2004 + 34.85x
When Temperature is 90, i.e. x = 90:
y = - 2004 + 34.85*90
y = 1132.5
The estimate Kilowatt is 1132.5.
s the last book a person in City Upper A read a discrete random variable, continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable.
Answer:
Not a random variable
Step-by-step explanation:
The last book a person read in City A is not a random variable because it is not a number as there is no numerical description for the outcome of this experiment.
Thus, the last book read by someone in City A is not a random variable.
Answer:
not random
Step-by-step explanation:
Give the equation of the line parallel to a line through (-3, 4) and (-5, -6) that passes through the origin. y = 5x
Answer:
y = 5x
Step-by-step explanation:
First, find the slope of the first equation by doing rise/run
This gets you -10/-2 or 5
A parallel line will have the same slope. Since it goes through the origin, the y-intercept and b value will be zero
The equation will be y = 5x
what is between 1/3 and 7/8 answer
Answer:
The number which is exactly in between 1/3 and 7/8 will be their average. The average = (1/3 + 7/8) / 2 = (8/24 + 21/24) / 2 = (29/24) / 2 = 29/48.
Please answer this correctly
Answer:
Skateboard:
Scooter:
Bike:
Step-by-step explanation:
19 + 14 + 17 = 50 (there were 50 customers)
19 out of 50 = 38%
14 out of 50 = 28%
17 out of 50 = 34%
Hope this helps!
Solve the system of equations. \begin{aligned} & -10x+3y = 5 \\\\ & x=y-4 \end{aligned} −10x+3y=5 x=y−4
Answer:
x = 1
y = 5
Step-by-step explanation:
You can use either substitution or elimination for this problem. I will use substitution.
Step 1: Replace x in the 1st equation
-10(y-4) + 3y = 5
-10y + 40 + 3y = 5
-7y = -35
y = 5
Step 2: Plug y into an original equation to find x
x = 5 - 4
x = 1
And you have your final answers!
Answer:
x = 1
Step-by-step explanation:
y = 5
2 Points
If f(x) = x + 8 and g(x) = -4x - 3, find (f+ g)(x).
O A. (f+ g)(x) = -3x + 5
O B. (f+ g)(x) = 5x + 11
O C. (f+g)(x) = -5x - 11
O D. (f+ g)(x) = 3x - 5
SUBMI
Answer: A
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we cna add them together.
x+8+(-4x-3)
x+8-4x-3
-3x+5
Sophie has 60 pencils. How many blunt pencils does she have if the ratio of
sharpened pencils to blunt pencils is 4:1?
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]\frac{60}{4+1}[/tex]
[tex]\frac{60}{5} =12[/tex]
[tex]4:1[/tex]
[tex]4 \times 12: 1 \times 12[/tex]
[tex]48:12[/tex]
Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 centimeters. Use the Table B.3 Areas under the Normal Curve (page 519 of the textbook) to find the indicated quantities: a) The percentage of heights less than 150 centimeters b) The percentage of heights between 160 centimeters and 180 centimeters
Answer:
a) 6.68% of heights less than 150 centimeters
b) 58.65% of heights between 160 centimeters and 180 centimeters
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
[tex]\mu = 162, \sigma = 8[/tex]
a) The percentage of heights less than 150 centimeters
We have to find the pvalue of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 162}{8}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
6.68% of heights less than 150 centimeters
b) The percentage of heights between 160 centimeters and 180 centimeters
We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.
X = 180
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 162}{8}[/tex]
[tex]Z = 2.25[/tex]
[tex]Z = 2.25[/tex] has a pvalue of 0.9878
X = 160
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 162}{8}[/tex]
[tex]Z = -0.25[/tex]
[tex]Z = -0.25[/tex] has a pvalue of 0.4013
0.9878 - 0.4013 = 0.5865
58.65% of heights between 160 centimeters and 180 centimeters
find the value of ∛27
Answer:
3
Step-by-step explanation:
3^3 = 27
Explain why the mass of an object remains the same both on earth and on the moon, but the same cannot be said about the weight of an object.
Answer. Mass is a measurement of how much matter is in an object; weight is a measurement of how hard gravity is pulling on that object. Your mass is the same wherever you are, on Earth; on the moon; floating in space, because the amount of stuff you're made of doesn't change. hope this help.............
What is the answer to this question?
Answer: A IS THE ANSWER
Step-by-step explanation: BRAINLIEST PLSSS
could you help me with this problem
Answer:
For x
We use cosine
cos 45° = 2/x
After solving
x = 2√2
Since we have the value of x we use it to get the value of y
we use cosine
cos 60° = 2√2/y
y =2√2/cos 60
y = 4√2
We use Pythagoras theorem to find z
(4√2)² = (2√2)² + z²
z² = 32 - 8
z² = 24
z = √24
z = 2√6
Therefore x = 2√2
y = 4√2
z = 2√6
Hope this helps.
Select the correct answer.
Four-thirds times the sum of a number and 8 is 24. What is the number?
A.
40
B.
26
O c.
24
OD.
10
Answer: D. 10
Step-by-step explanation:
4/3 (x + 8) = 24
Multiply both sides by 3/4....
x + 8 = 18
x = 10
A game require rolling a six sided die numbered fro 1 to 6. What is the probability of rolling a 1 or a 2?
Answer:
1/3
Step-by-step explanation:
hello,
probability of 1 = 1/6
probability of 2 = 1/6
probability of 1 or 2 = 1/6+1/6 as probability of 1 and 2 = 0
so the answer is 2/6=1/3
For each ordered pair, determine whether it is a solution to x=-3.
Answer: no, no, no, yes
Step-by-step explanation:
x=-3 is a vertical line. It goes straight up and down at x=-3. In order for the points to be on this line, the x-axis has to be -3. Looking at all the choices, all points are not a solution with the exception of (-3,0) which is right on the line.
Answer:
no no no yes
Step-by-step explanation:
i think
in the past year a total of 300 deaths due to pregnancy conditions were reported as well as 350,000,000 live birth. calculate the maternal mortality rate for the year?
Verify the identity. Please explain step by step.
Step-by-step explanation:
sin²α − sin⁴α
Factor out sin²α.
sin²α (1 − sin²α)
Use Pythagorean theorem.
(1 − cos²α) cos²α
Distribute.
cos²α − cos⁴α
Can someone please help me?
Answer:
''0 is neither a rational number nor an irrational number.''
Step-by-step explanation:
Zero is a rational number. Zero can be written as a fraction, where p/q = 0, where p = 0 and q is any non-zero integer. Hence, 0 is a rational number.
Rectangle is 5ft in length and 3 ft in height. What is the area of the rectangle
Answer: 15
Step-by-step explanation:
to find the area multiply the length by height
in this case it’s 5ft and 3ft
5 • 3 = 15
A=15
A taxi company charges based on the function rule P(t) = 0.5t + 2.5, where t is the
time taken for a trip (in minutes) and P(t) is the amount in dollars. If a trip takes 30 minutes, how much will it cost the client?
Answer:
$17.5
Step-by-step explanation:
hello,
we need to compute P(30)
P(30) = 0.5*30 + 2.5 = 15 + 2.5 = 17.5
hope this helps
in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classroom how many are wearing shirts other than blue shirts and
Answer:
3
Step-by-step explanation:
Those wearing a shirt of another color are ...
1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8
of the total number of students in the classroom
(1/8)×(24 students) = 3 students . . . . wearing another color
_____
Alternate solution
With the given information, you know ...
(5/8)(24) = 15 . . . students wear blue
(1/4)(24) = 6 . . . . students wear white
24 -15 -6 = 3 . . . students wear another color
What is the factorization of the trinomial below?
-x2+ x + 42
Answer:
-(x + 6)(x - 7)
Step-by-step explanation:
The expression that we have can also be expressed in the following way:
- (x ^ 2 - x - 42)
Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.
these numbers are: -7 and 6
-7 * 6 = -42
-7 + 6 = -1
Thus:
- (x + 6) (x - 7)
5. The equations are written in point-slope form. Which equation represents a line through points (-8, 3) and (-2, -3)?
O y-3 =-1(x+8)
Oy - 3=3(x+8)
O y-3 =-3(x+8)
Oy-3 = 1(x+8)
Answer:
y-3 =-1(x+8)
Step-by-step explanation:
The equation of a line is passing through two points is given by
(Y-y1)/(x-x1)= (y2-y1)/(x2-x1)
The points are (-8, 3) and (-2, -3)?
Y1= 3
Y2 = -3
X1= -8
X2 = -2
(Y-y1)/(x-x1)= (y2-y1)/(x2-x1)
(Y-3)/(x-(-8)) = (-3-3)/(-2-(-8))
(Y-3)/(x+8)= (-6)/(6)
(Y-3)/(x+8)= -1
Y-3= -1(x+8)
a. Draw a geometric diagram of this scenario using two parallel lines and one
transversal. (Remember that a transversal is a line which cuts across
parallel lines.) Label the angles, parallel lines, and transversal as indicated
in the diagram above.
Answer:
See Attachment
Step-by-step explanation:
I have attached the geometric diagram of the scenario below.
Lines t and u are the two parallel linesLine v is the transversal line.The angles which t makes with v are 1 and a respectively.The angles which u makes with v are b and 2 respectively.parallel lines = lines t and u, transversal line = line v, the angles which t makes with v are 1 and a, the angles which u makes with v are b and 2.
Which best describes her prediction?