Answer:
68%
Step-by-step explanation:
Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 82 mmHg and a standard deviation of 12 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are no more than 94 mmHg?
Empirical rule states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
We are given:
mean of 82 mmHg and a standard deviation of 12 mmHg.
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
82- 12
= 70mmHg
μ + σ.
= 82 + 12
= 94 mmHg
12) Solve 5x - 9 = 2x + 6.
Answer:
x would equal 5.
The Library of Congress in Washington D.C. Is considered the largest library in the world. They often receive boxes of books to be added to their collection. Since books can be quite heavy, they aren't shipped in big boxes. If, on average, each box contains about 8 books, how many books are received by the library in 6 boxes, 10 boxes, or n boxes? Use the space below to tell me how many books are received in: 6 boxes = 10 boxes = n boxes = (Hint: Write an equation!)
Answer: The number of books in 6 boxes = 48
The number of books in 10 boxes = 80
The number of books in n boxes = 8n
Step-by-step explanation:
Given : Each box has contains about 8 books.
Total books : (Number of books in each box) x (Numbers of boxes).
Then, the number of books in 6 boxes = 8 x 6 = 48
Similarly,
The number of books in 10 boxes = 8 x 10 = 80
The number of books in n boxes = 8n
Hence, The number of books in 6 boxes = 48
The number of books in 10 boxes = 80
The number of books in n boxes = 8n
Picture provided pls solve
ZA and ZB are complementary angles. If mZA = (6x + 22)° and m
(7x + 16)°, then find the measure of ZB.
ZB=
y=4x-9
Graph from slope-inercept form
Answer:
Here is the graph for y = 4x-9
Step-by-step explanation:
Keep in mind this graph goes by intervals of 5 in order to picture the whole graph
Simplify 7+4•5
55
27
16
6
Answer:
I think the answer is 27
Answer:
27
Step-by-step explanation:
well use PEMDAS
so the answer should be 27
What is the piecewise function of h(6)
Answer:
we need more info
Step-by-step explanation:
We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.
Please help me on these two problems I will make you as brainiest:
If a can of corn costs $2.40 for 16 oz, what is the cost per ounce?
a) .16 cents
b) .15 cents
c) .14 cents
d) .13 cents
If one box of Captain Kuyper's Sugar Encrusted Honey Bite Glow-In-The-Dark Cereal costs $3.15 for 15 oz, what is the cost per ounce?
a) .20 cents
b) .21 cents
c) .30 cents
d) .02 cents
Answer:
1)B
2)B
Step-by-step explanation:
Divide the price by oz. and you get this answer
a water balloon was thrown from the window. The height of the water balloon over time can be modeled by the function y=-16square2+160x+50
The maximum height of the water balloon : 450 m
Further explanationQuadratic function is a function that has the term x²
The quadratic function forms a parabolic curve
The general formula is
f (x) = ax² + bx + c
where a, b, and c are real numbers and a ≠ 0.
The parabolic curve can be opened up or down determined from the value of a. If a is positive, the parabolic curve opens up and has a minimum value. If a is negative, the parabolic curve opens down and has a maximum value
So the maximum is if a <0 and the minimum if a> 0.
The formula for finding the coordinates of the maximum and minimum points of the quadratic function is the same.
The maximum / minimum point of the quadratic function is
[tex]\rm -\dfrac{b}{2a},-\dfrac{D}{4a}[/tex]
Where
D = b²-4ac
The function h (t) = -16x²+160x+50
so the value of a <0, then it has a maximum value
Because we are looking for maximum height, then we find the value of the y coordinate, with the formula
[tex]\rm -\dfrac{D}{4a}[/tex]
Questions we might add :
What was the maximum height of the water balloon after it was thrown?
We can also use the first derivative of the above function to find the maximum value
[tex]\tt h'=0=-32x+160\\\\-32x=-160\\\\x=5[/tex]
input to function :
[tex]\tt h=-16x^2+160x+50\\\\h=-16(5^2)+160(5)+50\\\\h=-400+800+50=\boxed{\bold{450~m}}[/tex]
Find the slope of the line passing through the pair of points. (−4, −5) and (5, 4) A. −1 B. 1 C. 9 D. −9
Answer: A. -1
Explanation: 4-5/5-4= -1/1 = -1
A class ordered six 8-slice pizzas. Each student ate 1 1/2 slices and no pizza was left over. How many students were there?
Answer:
There are 32 students.
Step-by-step explanation:
If there are six 8-slice pizzas, that means that there is 48 slices total. If each student ate 1 1/2 slices, you can divide 48 and 1.5, and you will get 32. That is the number of students in the class. Hope this helps!
HELP ME PLS !!!!! HELP ME
Answer:
Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size
Step-by-step explanation:
Two angles are adjacent when they have a common side, a common vertex, and don't overlap.
The image shows the following angles are adjacent:
YVZ and YVX
YVZ and YVW
YVX and XVW
Furthermore, two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The first, fourth, and fifth options are true as shown above, which discards as true the second option.
The only probable false option is that XVW and YVX are the same size. They certainly could be, but we have to evidence of that, thus this option is considered false.
Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size
Find the value of x in the triangle shown below
X = ?
Answer:
44°
Step-by-step explanation:
103+33+x=180
136+x=180
x=180-136
x=44°
hope this helps
Plz mark as brainliest
ILL MARK BRAINLIEST!
Given the equation 3/4(x-5)=1/5x-5/6what LCM would you use to clear the fractions?
A.answer not given
B.120
C.24
D.30
E.240
Answer:
a
Step-by-step explanation:
the answer is 60 because it is the lcm
find a ratio that equivalent to 3 to 8
Answer:
6 to 8
Step-by-step explanation:
3 and 8 multiplied by two will give an equivalent ratio
The ratio shows how many times one value is contained in another value.
The ratios that are equivalent to 3 to 8 are:
9/24, 12/32, and 15/40.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
3:8
= 3/8
We can have many ratios that is equivalent to 3:8
9/24 = (3 x 3) / (3 x 8) = 3/8
12/32 = (4 x 3) / (4 x 8) = 3/8
15/40 = (5 x 3) / (5 x 8) = 3/8
Thus,
The ratios that are equivalent to 3 to 8 are:
9/24, 12/32, and 15/40.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
y= 1/2x-4 what is the slope
Answer:
1/2
Step-by-step explanation:
x means the slope so 1/2x is the slope
Answer:
The slope is 1/2 and the y intercept is -4. Hope this helps!
10% of 5 of what number?
Answer:
200
Step-by-step explanation:
A line passes through the points (2, -1) and (9,3). What is the slope of the line?
Answer:
[tex] \huge{ \boxed{ \tt{ \frac{4}{7} }}}[/tex]
Step-by-step explanation:
Let the points be A and B
[tex] \sf{A(2 \: , - 1) \longrightarrow \: (x1 \:, y1)}[/tex]
[tex] \sf{B(9 \: ,3 \: ) \longrightarrow \: (x2 \:, y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: slope}}: [/tex]
[tex] \boxed{ \rm{Slope \: ( \: m \: ) \: = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \rm{Slope = \frac{3 - ( - 1)}{9 - 2} }[/tex]
[tex] \rm{Slope = \frac{3 + 1}{9 - 2}} [/tex]
[tex] \rm{Slope = \boxed{ \rm \frac{4}{7} }}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
7) If every time Tomas eats a cookie it gives him 5 points and every time Miguel eats a
cookie it gives him 15 points. When are they going to have the same amount of points?
30 points is the value needed to have the same amount of points . Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
What is meant by mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation .The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.
Monomial Expression is one of the three primary categories of algebraic expressions. Binary Expression Expression of a polynomial.
In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial.
Given ,
Tomas eats a cookie =5 points
Miguel eats a cookie = 15
Same point=15*2
= 30 points
Therefore 30 points is the value needed to have the same amount of points .
To learn more about Mathematical expression refer to:
https://brainly.com/question/1859113
#SPJ2
Caculate the unit rate. A ball drops 160 feet in 4
seconds. How many feet dropped per second?
Answer:40ft/second
Step-by-step explanation:
Divide 160ft by 4sec to find the unit rate.
Answer:
40
Step-by-step explanation:
You would divide 160 by 4 to get the number of feet dropped in one second. 160 divided by 4 is 40
Hope this helps! Good luck :)
Pls help this is for percentage
time to check your supplies.
You started the trail with 550lbs. of food.
You now have 332lbs. of food.
What percentage of your starting
amount do you have left?
Percentage (%) of Food Left
x% of x
You now have 332lbs. of food.
What percentage of your starting
amount do you have left?
Percentage (%) of Food Left
x% of x
ok
help me answer please.
Answer:
D. 112°
General Formulas and Concepts:
A line is always 180°.
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Set up equation
m∠ABD + m∠DBC = m∠ABC
(3x + 10) + (2x) = 180°
Step 2: Solve for x
Combine like terms: 5x + 10 = 180Subtract 10 on both sides: 5x = 170Divide 5 on both sides: x = 34Step 3: Find m∠ABD
m∠ABD = 3x + 10
Substitute: m∠ABD = 3(34) + 10Multiply: m∠ABD = 102 + 10Add: m∠ABD = 112°You deposit $300 in a savings account. The account earns 2.5% annual simple interest. What is the account balance after 2 years?
Answer:
15$ would be earned
Step-by-step explanation:
This is because 2.5% of 300 is 7.5 than multiply it by 2 and you get 15.
f(z) = 7 +9.5
for z = 19
Answer:
16.5
Step-by-step explanation:
Answer:
16.5
Step-by-step explanation:
Pls I need the answer
Answer:
b
Step-by-step explanation:
slope isn't constant, but still increasing
I need help with #6 & #7 !!
Answer:
6 is b, 7 is c
Step-by-step explanation:
Answer:
#6 wants you to find out what answer from the 4 expressions gives you the least or smallest number. For #7, you need to follow PEMDAS in order to get the right answer.
Step-by-step explanation:
#6, the answers you get are 8, -9, -3, and 9. You need to choose the smallest number. Negative numbers are smaller than positive numbers, so you can immediately eliminate 8 and 9. You have to be careful when comparing negative numbers because the larger negative number is actually smaller than the smaller negative number since it is further away from the zero. So, negative -9 would be smaller than -3 in this case.
#7, I would divide the -720/12 first. This results in -60. Then, divide the -60 by -10. This gives you an answer of positive 6.
ANSWERS:
#6 : B
#7 : C
3. It takes 3 cups of flour to make
24 cookies. How many cups of flour
are needed to make 60 cookies?
a) 1.2 cups
b) 0.83 cups
c) 7.5 cups
d) 13 cups
Answer:
My guess would have to be d
Step-by-step explanation:
How many cups of flour are needed to make 60 cookies.
Solution:[tex]60 \times 3 \div 24[/tex]
[tex] \frac{5 \times 3}{2} [/tex]
[tex] = \frac{15}{2} [/tex]
[tex] = 7 \frac{1}{2} or[/tex] [tex]\boxed{\sf{7.5}}[/tex]
[tex]\large\boxed{\sf{Answer= Option\: C}}[/tex]
Therefore, 7.5 cups of flour are required to make 60 cookies.
Is(1, 6)a solution to the inequality y < 4x + 2?
Answer:
yes, (1,6) is a solution to the inequality y<4x+2.
Step-by-step explanation:
Looking at the equation we can see that the slope is 4 and the y intercept is 2.
Now we will use the slope that is comprised of the rise over the run which is [tex]\frac{rise}{run}[/tex]
The slope is 4 this means that [tex]\frac{rise}{run}[/tex] = [tex]\frac{4}{1}[/tex] and this shows us that the rise is 4 and the run is 1, so starting at (0,2) you go up 4 and over 1 so our next coordinate would be (1,6)
so the answer is yes, (1,6) is a solution to the inequality y<4x+2.
Hope this helps!
Write the equation of the line that passes through the given points. (2,9.5) and (0,0.5)
Answer:
[tex]y = \frac{9}{2}(x) + \frac{1}{2}[/tex]
Step-by-step explanation:
Linear equations can be written as
[tex]y = mx + b[/tex]
m is [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
b is the y intercept
[tex]\frac{9.5 - 0.5}{2-0}\\ =\frac{9}{2} \\y = \frac{9}{2}x+b\\\frac{1}{2}= \frac{9}{2}(0) + b\\ b = 1/2[/tex]
plug in to verify
[tex]9.5 = 9/2(x) + 1/2\\\\9.5 = 9/2(2) + 1/2\\9.5 = 9 + 1/2\\9.5 = 9.5[/tex]
it checks out
5χ= 140
Ο Α. x= 28
Ο Ο Ο
Ο Β. x= 135
Ο C. χ= 14
Ο D. x= 700
9514 1404 393
Answer:
A. x = 28
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x.
[tex]5x=140\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\\boxed{x=28}[/tex]
five decreased by twice a number
PLS HELP PLS ASAP
Answer:
5-2x
i took this in my algebra class
