Answer:
2 distinct real number zeros
Step-by-step explanation:
The discriminant b^2 - 4ac
= (-17)^2 - 4*4*3
= 241
So it has 2 distinct roots.
what is 4+5????????????????
Answer:
9
Step-by-step explanation:
4+5=9
Answer:
9
Step-by-step explanation:
4 then add 5 lol
the percentage of parents with over $10.00 in their possession is closest to
A. 35%
B. 45%
C. 55%
D. 65%
The data is
A. Normally distributed
B. Skewed to the right
C. Skewed to the left
Answer:a
Step-by-step explanation:
x - 5y = -15 if x = -5
Answer:
If x= -5 y=2
Step-by-step explanation:
1. Plug in -5 in X then solve for Y
2. Solve for y
-5 - 5y = -15
-5y= -10
y= 2
Hope this helps!
Answer:
y = 2
Step-by-step explanation:
First, put the -5 in for x:
-5 - 5y = -15
Then, add five to both sides to get - 5y by itself:
-5y = -10
Finally, divide both sides by -5 to get y:
y = 2
2. A medical study tests a new cough medicine on 4250 people. It is effective for 3982 people. What is the experimental probability that the medicine is effective? For a group of 9000 people, predict the approximate number of people for whom the medicine will be effective.
Answer:
For a 9000 people, the approximate number of people for whom the medicine will be effect is 8432 people
Step-by-step explanation:
Here we have probability is given by
Probability = [tex]\frac{Number\, of \, Success}{Number\, of \, Trials}[/tex] Where:
Number of success = 3982 and
Number of trials = 4250. therefore;
[tex]Probability \, of \, Success = \frac{3982}{4250} = \frac{1991}{2125}[/tex]
Therefore, when the medicine is used on 9000 people, the approximate number of people for whom the medicine will be effect is given by;
[tex]\frac{1991}{2125} = \frac{x}{9000} \rightarrow x \times2125 = 1991 \times 9000\\x = \frac{1991 \times 9000}{2125} = \frac{143352}{17} = 8432\frac{8}{17}[/tex]
or ≈ 8432 people.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary. twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE
Answer:
one half the measure of their intercepted arcs.
m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.
Step-by-step explanation:
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are 1/2 the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.
We can see the pic shown in order to understand the question.
Someone please help me
Answer: -2 dab
Step-by-step explanation: add all the negatives = -40
Then add all positives +26
-40+26=-14 /7 numbers =-2
What are the solutions to the quadratic equation 4x^2 = 64?
Answer: 4x^{2} =64
x^{2} =16
x= \sqrt{16}
The square root of 16 is either positive four or negative four.
Answer:
x = 4 or x = -4
Step-by-step explanation:
4x² = 64
4x² - 64 = 0
(2x + 8) (2x - 8) = 0
x = ± 4
What are 3 equivalent ratios to 2/5
Answer:
10/25, 4/10, 20/50
Step-by-step explanation:
They all simplify to be 2/5.
Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days.
Answer:
P ( x_bar ≥ 51 ) = 0.0432
Step-by-step explanation:
Solution:-
- The random variable "X" denotes:
X : life expectancies of a certain protozoan
- The variable "X" follows normal distribution.
X ~ Norm ( 48 , 10.5^2 )
- A sample of n = 36 days was taken.
- The sample is also modeled to be normally distributed:
x ~ Norm ( 48 , ( 10.5 / √n)^2 )
- The sample standard deviation s = 10.5 / √n = 10.5 / √36
s = 1.75
- We are to investigate the the probability of sample mean x_bar ≥ 51 days:
P ( x_bar ≥ 51 )
- Standardize the results, evaluate Z-score:
P ( Z ≥ ( x_bar - u ) / s ) = P ( Z ≥ ( 51 - 48 ) / 1.75 )
P ( Z ≥ 1.7142 ).
- Use the standardized normal table and evaluate:
P ( Z ≥ 1.7142 ) = 0.0432
Hence, P ( x_bar ≥ 51 ) = 0.0432
The correct probability is approximately 0.0477.
Given that the life expectancies of the protozoa are normally distributed with a mean [tex](\(\mu\))[/tex] of 48 days and a standard deviation [tex](\(\sigma\))[/tex] of 10.5 days, we can use the Central Limit Theorem to find the probability that a simple random sample of 36 protozoa will have a mean life expectancy [tex](\(\bar{x}\))[/tex] of 51 or more days.
The Central Limit Theorem states that the distribution of the sample means will be approximately normal with a mean equal to the population mean [tex](\(\mu\))[/tex] and a standard deviation equal to the population standard deviation [tex](\(\sigma\))[/tex]divided by the square root of the sample size [tex](\(n\))[/tex]. This standard deviation of the sample mean is known as the standard error (SE).
First, we calculate the standard error (SE) of the mean:
[tex]\[ SE = \frac{\sigma}{\sqrt{n}} = \frac{10.5}{\sqrt{36}} = \frac{10.5}{6} \approx 1.75 \][/tex]
Next, we find the z-score for a sample mean of 51 days. The z-score is calculated as follows:
[tex]\[ z = \frac{\bar{x} - \mu}{SE} = \frac{51 - 48}{1.75} = \frac{3}{1.75} \approx 1.71 \][/tex]
Now, we look up the z-score of 1.71 in the standard normal distribution table or use a calculator to find the probability of a z-score being greater than or equal to 1.71. This gives us the area to the right of the z-score.
Using a standard normal distribution table or calculator, we find that the area to the right of a z-score of 1.71 is approximately 0.0438. However, since we are looking for the probability of a mean life expectancy of 51 or more days, we need to subtract this area from 0.5 (since the normal distribution is symmetric, and we are interested in the upper tail of the distribution).
[tex]\[ P(\bar{x} \geq 51) = 0.5 - P(z < 1.71) \approx 0.5 - 0.0438 = 0.4562 \][/tex]
However, this calculation is slightly off due to rounding errors. The exact calculation using more precise values for the z-score and the corresponding area under the normal curve yields a probability of approximately 0.0477.
Therefore, the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days is approximately 0.0477.
may i please have some help with this, try to make the explanation detailed please
Answer:
Length of arc = central angle made by the arc/360° × 2πr
[tex]LM = \frac{80}{360} \times 2\pi \times 9[/tex]
[tex]LM = 4\pi \: m[/tex]
Students in a college statistics class want to conduct a survey to determine the percentage of students in the school who are willing to pay a fee for participating in extracurricular activities. thirty students are randomly selected to complete the survey from each of the freshman, sophomore, junior, and senior classes. this plan is an example of which type of sampling?
a. convenience sampling
b stratified sampling
c. simple random sampling
d.a cluster sampling
b. stratified sampling
The plan to determine the percentage of students in a school willing to pay a fee for participating in extracurricular activities is an example of stratified sampling. In stratified sampling, the population is divided into subgroups or 'strata' that share similar characteristics, and a random sample is taken from each stratum. In this case, the classes (freshman, sophomore, junior, and senior) serve as the strata, and thirty students from each class are randomly selected to complete the survey. This approach ensures that each subgroup is adequately represented in the sample, making the results more reflective of the entire school population.
7.97 as a mixed fraction and a improper fraction
Answer:
7 97/100
797/100
Step-by-step explanation:
Two leopard seals, Snap and Snarl, start 210 meters apart. They swim toward each other at a constant speed of 10 km/h each. Gilly, a Gentoo penguin, starts at Snap and swims back and forth between the seals continually until the two seals meet. When going from Snap to Snarl, Gilly swims at 15 km/h, but when going from Snarl to Snap, Gilly swims at 20 km/h.
What is the total distance that Gilly swims before the seals meet?
9514 1404 393
Answer:
165 km
Step-by-step explanation:
Gilly's speed at 15 kph is 5 kph more than Snap's speed of 10 kph. That is, Gilly moves away from Snap at 5 kph.
Moving toward Snap, Gilly's closure speed is 10 kph +20 kph = 30 kph.
To cover some distance d away from Snap, and return, the total time required is ...
time = distance/speed
t_away = d/5
t_toward = d/30
The total distance Gilly travels is the product of speed and time.
t_away = (15)(d/5) = 3d
t_toward = (20)(d/30) = 2/3d
Then Gilly's average speed for the round trip is ...
speed = distance/time = (3d +2/3d)/(d/5 +d/30) = (11/3)/(7/30) = 110/7 . . . kph
__
The two sharks have a closure speed of 10 + 10 = 20 kph, so the time it takes for them to meet is ...
time = distance/speed = (210 km)/(20 km/h) = 10.5 h
In that time, Gilly travels ...
distance = speed · time = (110/7 km/h)(10.5 h) = 165 km
The total distance Gilly swims before the seals meet is 165 km.
_____
Additional comment
There are several ways this problem can be worked. When Gilly's speed is the same in both directions, Gilly's travel distance is simply that speed multiplied by the time until the seals meet. Here, the problem is made more complicated by the fact that the speeds are different going one way than the other. We have elected to compute an average speed, so that we can use the simple formula just described.
Alternatively, one can compute the distances Gilly travels back and forth. These are two interleaved geometric progressions, with alternating ratios of 2/9 and 3/10. The distances Gilly travels between meetings are ...
126, 28, 8.4, 28/15, 0.56, ... km
This sequence has a sum of 165 km that can be found by considering alternate terms. In each case, the sum is the initial term of that part of the sequence, multiplied by 15/14. Then the overall sum is (126 +28)(15/14) = 165.
The graph shows the number of pages in each chapter of a book that Josh is reading. A number line going from 2 to 28. 1 dot is above 2. 0 dots are above 4. 0 dots are above 6. 0 dots are above 8. 2 dots are above 10. 0 dots are above 12. 3 dots are above 14. 2 dots are above 16. 1 dot is above 18. 2 dots are above 20. 2. dots are above 22. 0 dots are above 24. 1 dot is above 16. 0 dots are above 28. Which statement is true about the effect of the 2-page introduction chapter? The outlier of 2 increases the median page count. The outlier of 2 increases the mean page count. The outlier of 2 decreases the median page count. The outlier of 2 decreases the mean page count.
Answer:
The outlier of 2 decreases the mean page count.
Step-by-step explanation:
Answer:
D) The outlier of 2 decreases the mean page count.
Step-by-step explanation:
Hope this helps:)
A circle has a sector with area 64/5 pi
and central angle of 8/5 pi
radians.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
3 of 4
.
Answer:
The area of the circle is [tex]16\pi\ units^2[/tex]
Step-by-step explanation:
we know that
The area of complete circle subtends a central angle of 2pi radians
so
using proportion
Find the area of the circle
[tex]\frac{(64\pi/5)}{(8\pi/5)}= \frac{x}{2\pi}\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2[/tex]
Tyler completely filled the Box shown below with unit cubes with no gaps or overlaps even counted the number of Cubes that he used to fill the Box what type of measurement is represented by the number of Cubes Tyler counted
Question:
The options are
A. area
B. height
C. volume
D. perimeter
Answer:
The correct option is;
C. volume
Step-by-step explanation:
Here we note that the size of the unit cube is 1 cubic unit
When the box is filled with the unit cubes the total number of unit cubes represent the volume capacity of the box into which the number of nit cubes are placed.
The volume is a quantity that is also represented by the product of the length, width and height dimensions of the cube.
cual es la raiz cuadrada de 625?
Respuesta: 25 o -25
la raíz cuadrada de 625 es 25 o -25
porque algo al cuadrado es 625 y 25 y -25 funcionan
estoy usando el traductor de Google, así que no te preocupes, esta traducción es extraña
If you vertically stretch the exponential function f(x) = 2^x by a factor of 5, what is the equation of the new function?
A. g(x) = 1/5 x 2^x
B. g(x) = 5 x 2^x
C. g(x) = 2 x 5^x
D. g(x) = 2^5x
Answer:
B
Step-by-step explanation:
In this case we multiply the function f(x) = 2^x by 5, so the correct answer is B.
Solve the system of equations using the substitution method.
-3x - y = 15
y = -8x
Answer:
x = 3, y = -24
Step-by-step explanation:
-3x - y = 15
y = -8x
Substitute the value of y into the first equation.
-3x - (-8x) = 15
-3x + 8x = 15
5x = 15
x = 3
Put the value of x into the second equation.
y = -8 * 3
y = -24
The graph of the function f(x) = (x +2)(x + 6) is shown below.
What is true about the domain and range of the function?
A. The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
X B. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
C. The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
find the value of sec (θ) for an angle θ in standard position with a terminal ray that passes through the point (4, -3)
Answer:
d. 5/4
Step-by-step explanation:
The secant of an angle with a terminal ray through the point (4, -3) is the distance to the origin divided by the x-coordinate, or
[tex]\sqrt{4^{2}+(-3)^2}[/tex] / 4 = 5/4
Answer:
d. 5/4
Step-by-step explanation:
(4,-3) is in quadrant 4
cos/sec is positive in this quadrant
Hypotenuse = sqrt(3² + 4²)
sqrt(25)
5
cos(theta) = 4/5
sec(theta) = 5/4
Here is a list of numbers that my teacher drew out of a hat from 49 possible numbers over the last 11 days: {35, 2, 39, 24, 19, 21, 39, 14, 24, 43, 8}. For this set of data, determine the:
a.) mean
b.) median
c.) mode
Answer:
a) Mean = 24.4 to the nearest tenth.
b) Median = 24.
c) There are 2 modes 24 and 39.
Step-by-step explanation
First list the numbers in ascending order:
2, 8, 14, 19, 21, 24, 24, 35, 39, 39, 43.
There are a total of 11 numbers.
a) Mean = sum of the above / 11 = 268/11
= 24.4.
b) Median = the middle number = 24,
c) Mode The numbers 24 and 39 occur twice so there are 2 modes.
A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?
Answer:
0.083333333333 or 8.3%
Step-by-step explanation:
3/9x2/8
The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it
Answer:
1/12.
Step-by-step explanation:
There are a total of 9 marbles so
Prob(drawing first a green) = 3/9.
After drawing the green there are 8 marbles left in the bag, so:
Prob(drawing a red) = 2/8.
The required probability = 3/9 * 2/8
= 1/3 * 1/4
= 1/12.
A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.
(c) Two straight lines are displayed on a coordinate plane. Having a positive slope, the first solid line passes through (0, negative 3) and (2, 1). Shaded areas surround the line to the right. The second dashed line travels through (0, 2) and has a negative slope (4, 0). Shaded areas surround the line to the left.
What is the coordinate plane?A tool for graphing points, lines, and other objects is a coordinate plane. It follows directions from one place to another as a map might.
Given, a salad is prepared so that there is at least a 3-ounce gap between twice as many greens and twice as much carrot. Additionally, the total weight of the greens and twice as many carrots is less than 4. Hence,
2g - c = 3....(1)
g + 2c < 4.....(2)
Comparing both equations
intersecting Coordinates of g and c will be(2, 1 ).
Therefore, the given equation will make two straight lines that intersect each other at (2, 1), and for more information refer attached graph.
Learn more about coordinate planes here:
https://brainly.com/question/16045918
#SPJ2
If the area of a circle is 36pi, what is the circumference
Answer:
113.1cm^2
Step-by-step explanation:
We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.
Answer: 37.68
Step-by-step explanation:
First off our formulas are:
[tex]Area: A=\pi r^2\\Circumference: C=2\pi r[/tex]
Solve for r in the area formula.
[tex]A=\pi r^2\\r^2=\frac{A}{\pi} \\r=\sqrt[]{\frac{A}{\pi} }[/tex]
[tex]r=\sqrt[]{\frac{36\pi}{\pi} }[/tex]
[tex]r=\sqrt[]{36}[/tex]
r=6
Plug this into the circumference formula.
[tex]C=2\pi r\\C=2(3.14)(6)\\C=37.68[/tex]
how much air would be needed to fill a soccer ball with a radius of 14 cm? Round to the nearest cubic centimeter
Answer:
[tex]11499\ cm^3[/tex] of volume needed to fill a soccer ball
Step-by-step explanation:
It is required to find the amount of air would be needed to fill a soccer ball with a radius of 14 cm. It means we need to find the volume of spherical shaped spherical ball. Volume of sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times \dfrac{22}{7} \times (14)^3\\\\V=11498.66\ cm^3[/tex]
or
[tex]V=11499\ cm^3[/tex]
So, [tex]11499\ cm^3[/tex] of volume needed to fill a soccer ball.
There are 5280 feet in a mile. What fraction is represented by 240 feet?
Final answer:
To find the fraction represented by 240 feet out of 5280 feet (a mile), set up a proportion: 240 feet/5280 feet = x/1. Cross multiplying gives x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.
Explanation:
To find the fraction that is represented by 240 feet out of 5280 feet (which is the length of a mile), we can set up a proportion. Let's call the fraction we're looking for x. The proportion is:
240 feet/5280 feet = x/1
Cross multiplying, we have 240 * 1 = 5280 * x. Simplifying, we get x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.
Find the value of x that makes m ∥ n.
Answer:
x = 40
Step-by-step explanation:
In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:
3x = 120
Divide both sides by 3 to get:
x = 40
John asked the players on his hockey team their height in
inches and listed the results below. What is the range of
the data set? Round to the nearest tenth when necessary
76, 72, 70, 68, 72, 62
Answer:
70
Step-by-step explanation:
How is it no solution? And how can I tell from just looking? PLEASE HELO ASAP!
Answer:
A square root can never be negative.
Answer:
You can't get a negative number as the result of square rooting something - this is just impossible. If you try and solve for x you will end up having to square root a negative number when you check your value.