Answer:
I. D. K. what is the question
Step-by-step explanation:
In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard
deviation of 4.69, (a) how many scores are expected to be lower than 18.31 (one standard
deviation below the mean)? (b) How many of the 100 scores are expected to be below 32.38 (two
standard deviations above the mean)?
a). The number of scores which are expected to be lower than 18.31 is; 16 scores.
b). The number of scorers that are expected to be below 32.38 is; 98 scores.
Calculations involving normal distribution.As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.
First, since the mean is given as; 23 and the standard deviation is; 4.69.
By observation; 23 - 4.69 = 18.31 and
23 + 4.69 + 4.69 = 32.38.
a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.
Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.
b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.
Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.
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You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
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An employment agency required 20 secretarial candidates to type the same manuscript. The number of errors found in each manuscript is summarized in the histogram. Find the empirical probability that a candidate has less than four errors in the typed manuscript.
Answer:
The probability that a candidate has less than 4 errors is 0.40
Step-by-step explanation:
Given
[tex]n(S)= 20[/tex] --- candidates
See attachment for histogram
Required
[tex]P(x < 4)[/tex]
From the attached histogram, the errors less than 4 are: 0 or 1 and 2 or 3
And the corresponding frequencies are: 5 and 3, respectively.
So:
[tex]P(x < 4) = P(0\ or\ 1) + P(2\ or\ 3)[/tex]
This gives:
[tex]P(x < 4) = \frac{n(0\ or\ 1)}{n(S)} + \frac{n(2\ or\ 3)}{n(S)}[/tex]
Substitute 5, 3 and 20 for n(0 or 1), n(2 or 3) and n(S), respectively
[tex]P(x < 4) = \frac{5}{20} + \frac{3}{20}[/tex]
Take LCM
[tex]P(x < 4) = \frac{5+3}{20}[/tex]
[tex]P(x < 4) = \frac{8}{20}[/tex]
[tex]P(x < 4) = 0.40[/tex]
true or false 3 times the speed will have 9 times the force of impact
Answer: true
Step-by-step explanation:
Anything would be greatly appreciated!!
As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.
What is meant by polygon's surface area?The region that a particular polygon occupies in a two-dimensional plane, whether it be a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as its area. Depending on how they are shaped, different types of polygons have different areas or formulas for areas. One way to think of a polygonal surface is as a surface made up of polygonal faces. All of the polygons must belong to the same type (triangles, quadrilaterals or whatever). The user must ensure that each polygon's vertices all sit in a plane if the polygons are of a higher order than triangles. The collection of polygons or faces collectively make up the object's "skin." A wide range of solids and surfaces can be graphically represented using this technique.Therefore the correct option is C) 12 + 4√5 square unit
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If a vehicle is going 75 mph, how many feet does it travel in one second?
Answer:
How many feet does a car travel in 1 second if it is moving at a rate of 75 mph? So you're going 110 ft per second. In other words, the car travels 110 feet in 1 second (and does so each second assuming you maintain the speed of 75 mph).
The distance (in feet) travelled by the car moving at 75 mph in one second is 110 feet
What is speed?Speed is the distance travelled per unit time. Mathematically, it can be expressed as:
Speed = distance / time
How to convert 75 mph to feet per second (fps)1 mph = 1.467 fps
Therefore,
75 mph = 75 × 1.467
75 mph = 110.025 fps
How to determine the distance Time = 1 sSpeed = 110.025 fpsDistance =?Distance = speed × time
Distance = 110.025 × 1
Distance ≈ 110 feet
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(30 points) write the equation of line a that goes through points (3,2) and has a y-intercept of 1
Use the equation that you wrote for line a to write an equation for line b which is perpendicular to line 8 and goes through the point (-4,2)
To write the equation of a line that goes through the point (3,2) and has a y-intercept of 1, we can use the point-slope form of a line. The point-slope form is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, and m is the slope of the line. The slope is a measure of the steepness of the line, and it is calculated as the rise (the change in y) over the run (the change in x).
To find the slope of the line, we can use the two points (3,2) and (3,1). The rise is 1 - 2 = -1 and the run is 3 - 3 = 0, so the slope is -1/0, which is undefined. This means that the line is a vertical line and does not have a slope.
Since the line is a vertical line, we cannot use the point-slope form to write its equation. Instead, we can use the slope-intercept form, which is:
y = mx + b
Where m is the slope of the line and b is the y-intercept. In this case, the slope is 0 (since the line is vertical), and the y-intercept is 1, so the equation of the line is:
y = 0x + 1
To write the equation of a line that is perpendicular to line a and goes through the point (-4,2), we need to find the slope of line a. Since line a is a vertical line, its slope is undefined. However, we know that the slope of a line perpendicular to it must be 0.
Using the point-slope form, the equation of line b is:
y - 2 = 0(x - (-4))
Simplifying, we get:
y = 0x + 2
So, the equation of line b is:
y = 0x + 2
The physician orders 3 mg/kg of medication twice a day. The patient’s weight is 315 lb. How much medication does the patient receive each day?
Answer: To find out how much medication the patient receives each day, you need to determine the patient's weight in kilograms and then calculate the total dosage per day.
You can convert the patient's weight from pounds (lb) to kilograms (kg) by dividing the weight by 2.2.
So,
315/2.2 = 142.72 kg
Next, we can use this weight to determine the dosage per day:
3 mg/kg * 142.72 kg = 428.16 mg
Now, since the physician ordered twice a day, we will multiply the dosage per day with 2:
428.16 mg * 2 = 856.32 mg
So the patient receives 856.32 mg of medication each day.
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
H=12
Step-by-step explanation:
Please help me! I need to answer this question and I don’t know how do to it if someone can help me please
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The graph of f(x) has a relative minimum where its first derivative (f'(x)) is zero and its second derivative (f''(x)) is positive. (Function f(x) is concave upward when f''(x) > 0.) Since the second derivative is the slope of the first derivative, this means the local minimum will be at the x-value where f'(x) = 0 and is crossing the x-axis from below.
The graph of f'(x) shows a local minimum at x = 1.
__
Desmos does not allow us to define f'(x) directly, so we have called it f₁(x). The function f(x) is the integral of that—shown as the dashed orange line. We wanted you to see the f(x) curve so you could see it has a local minimum at x=1.
rashaads car used 2/3 of a gallon to travel 14 1/2 miles .How many miles can the car go on one gallon of gas
Answer:
21.75 or 21 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.
Which is an equation of the line with a slope of 2 that passes through (3,−5)?
Answer: [tex]y=2x-11[/tex]
Step-by-step explanation:
Given
The line has a slope of 2 and passes through (3,-5)
Using slope point form that is
[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=m[/tex]
Insert values
[tex]\Rightarrow \dfrac{y-(-5)}{x-3}=2\\\\\Rightarrow y+5=2x-6\\\Rightarrow y=2x-11\ or\ 2x-y=11[/tex]
accellus geometry help :) please
pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in
Answer:
Area of polygon[20 sides] = 1,140 inch² (Approx.)
Step-by-step explanation:
Given;
Number of sides = 20 sides
Length of each side = 6 inch
Find:
Area of polygon[20 sides]
Computation:
Perimeter of polygon[20sides] = 20 x Length of each side
Perimeter of polygon[20sides] = 20 x 6
Perimeter of polygon[20sides] = 120 inch
Apothem[Shortest distance from center] = S / 2tan[180/n]
Apothem[Shortest distance from center] = 6 / 2tan[180/20]
Apothem[Shortest distance from center] = 6 / 2tan[9]
Apothem[Shortest distance from center] = 18.94
Apothem[Shortest distance from center] = 19 inch (Approx.)
Area of polygon[20 sides] = [Perimeter x Apothem] / 2
Area of polygon[20 sides] = [120 x 19] / 2
Area of polygon[20 sides] = 1,140 inch² (Approx.)
Help me fast!!!! :)
Answer my other questions plz
Answer:
x = 20°
Step-by-step explanation:
Angles on a straight line = 180°
Therefore,
3x° + 80° + 2x° = 180°
Add like terms
5x + 80 = 180
Subtract 80 from each side
5x + 80 - 80 = 180 - 80
5x = 100
Divide both sides by 5
5x/5 = 100/5
x = 20°
Please help will mark Brainly
Answer: The solution to the system of equations is (1/3,-4/3).
Step-by-step explanation: Yes
A marketing executive surveyed 1,000 shoppers at a grocery store to determine the highest price shoppers are willing to pay for a gallon of ice cream. His data is shown in the table.
Highest Price (in dollars)
Number of Shoppers
5
365
6
406
8
120
10
94
12
5
Based on the data, of 10,000 shoppers, which BEST estimates the number of shoppers that would be willing to pay at least $8.00 for a gallon of ice cream?
A
120
c
B
219
с
1,200
D
2,190
Answer:
c
Step-by-step explanation
120/1000 people bought 8 dollar ice cream. 120/1000 = 0.12 = 12% so 12% of 10000 is 1200
Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)
Answer:
y = -3/2x + 1 1/2
Step-by-step explanation:
the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.
6 = -3/2(-3) + b
6 = 4.5 + b
1.5 = b
-50 POINTS- don’t explain
Answer:
3
Step-by-step explanation:
like you said don't explain
· The line plot shows the numbers of hours volunteers worked at the food pantry. PLSS HELP
Answer:
C - 2[tex]\frac{1}{2}[/tex] hours
Step-by-step explanation:
8[tex]\frac{1}{2}[/tex] - 6 = 2[tex]\frac{1}{2}[/tex].
theres 96 seats and 12 tables I just need an equation.
Answer:
s = 8t
Step-by-step explanation:
.............................
Nataliah can read 160 words per minute. Let w represent the total number of words
Nataliah reads, and let m represent the number of minutes she spends reading. Create a
table and a graph to show how many words Nataliah will read from 1 to 5 minutes. Don't
forget to label your axes.
Please review the analysis for the dependent and independent variables. Equation: The total probability for the number w=160 m on the chart is 160 m.
What is the probability ?Equation w=160 m.w (words) equals 160 words in the first minute and 320 words in the next two minutes. 800 words in five minutes, 480 words in three minutes, and 640 words in four minutes. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B).
The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. A probability is a number that expresses the possibility or likelihood that a specific event will take place.
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T:
Change each denominator to the given denominator. Check if the domain changed.
If yes, state the changes.
12
y = x
x-y
to a denominator of x - y
The domain of the expression
The new expression is -12/(x - y) and the domain is x ≠ y
How to change the denominator?From the question, we have the following parameters that can be used in our computation:
12/(y - x)
Multiply the fraction by 1
So, we have the following representation
12/(y - x) * 1
Express 1 as -1/-1
This gives
12/(y - x) * -1/-1
So, we have
-12/(x - y)
It should be noted that the domain remains the same
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¿En cuanto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres?
Answer:
L.4118.36.
Step-by-step explanation:
Para determinar en cuánto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres se debe realizar el siguiente cálculo de interés compuesto:
3000 x (1 + 0.08 / 4)^4x4 = X
3000 x (1 + 0.02)^16 = X
3000 x 1.02^16 = X
3000 x 1.3727 = X
4118.357 = X
Por lo tanto, tras 4 años de inversión al 8% de interés compuesto anual capitalizable por trimestres, la inversión valdrá L.4118.36.
find the nth term of the following sequence :
5, 20, 45, 80, 125
The nth term of the following sequence is: 5n²
What is arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
We are given the sequence are;
5, 20, 45, 80, 125
The quadratic sequence formula : an²+bn+c
2nd difference 2a = 10
a = 5
1st difference 3a+b = 15
Then substitute 5
3(5)+b = 15
b = 0
The nth term rule : a + b + c = 5
Now substitute a and b values into equation
5 + 0 + c = 5
c = 0
The nth term is: 5n²
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1
Select the correct answer from each drop-down menu.
Prism M and pyramid N have the same base area and the same height Cylinder P and prism Q have the same height and the same base perimeter.
Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures
have the same volume.
and
Answer:
i cant see it
Step-by-step explanation:
Answer:
A. cone Z
B. cylinder Y
Step-by-step explanation:
The figures cone Z and cylinder Y have the same volume.
----------------------------------------------------------------------------------
Answer:
c
Step-by-step explanation:
because it is yhe smaller temmpertatuer
Answer:
C. >
hope this helps
have a good day :)
Step-by-step explanation:
What is the distance between the two points shown below?
Answer:
[tex]distance = \sqrt{ {( - 3 - ( - 3))}^{2} + {(4 - 0)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 24 inches, and the length of the base is 11 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer: 60.2 inches
The perimeter of the triangle is 80.24 inches.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Altitude = 24 inches
Base = 11 inches
Half of the base = 11/2 = 5.5 inches
Using Pythagoras theorem:
Hypotenuse = √(24² + 5.5²)
Hypotenuse = √(576+ 30.25)
= √606.25
= 34.62 inches
Now, perimeter of a triangle
= (base + side 1 + side 2)
= (11 + 34.62+ 34.62)
= 80.24 inches
Hence, the perimeter of the triangle is 80.24 inches.
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James has s contract to paint 30 identical water tanks. he has to paint the outside surfaces of esch tank, but not ghe top.
Answer:
That's the surface area........