Answer:
p=17
Step-by-step explanation:
P = 3n+2r+t -1
when n=3, r=2, and t=5?
we will just substitute for the values
p=3(3)+2(2)+5-1
p=9+4+4
p=9+8
p=17
;- The value for p is 17
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the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. a baby is premature if it is born three weeks early. what percent of babies are born prematurely?
8.08 percent of babies are born prematurely .
We have following information,
lengths of pregnancy of humans are Normally distributed.
mean of distribution ( μ ) = 268 days
standard deviations of distribution = 15 days
We shall find out the pecent of babies are born. prematurely.
Using the Normal distribution formula ,
Z = ( X - μ ) /σ
where X---> sample mean
μ --> poplution mean
putting the possble values of variables we get,
if a baby born three weaks early then he is considered as premature.
X = 21 , μ = 268 , r =
Z = ( 21-268)/ 15 = - 247/15 = - 16.4
Now, p-value corresponding to Z-value= -16.4 is
8.08..
thus for z= -16.4 , p-value will be 8.08 .. So, 8.08 percent of babies are born prematurely.
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Angel typically orders a 12-ounce Frappuccino that has 430 calories. If she orders the 20 ounce version, how many calories does it
have? Round to the nearest whole number.
Answer: ___ calories
Answer:717 calories
Step-by-step explanation:
first you need to find what one ounce would be:
430/12=35.83...
then you multiply the answer by 20
35.83*20=716.6...=717
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $22, then how many games did Shakira bowl?
6 groups of what tenths is 4.2
The answer is 6 groups of 0.7 tenths is 4.2. in the decimal form.
What is Decimals?
Decimals are a form of a number in algebra that have a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
6 groups of ____ tenths is 4.2
4.2 ÷ 6 = 0.7
Hence, 6 groups of 0.7 tenths is 4.2
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how many ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a dierent color from each of its proper divisors?
432 ways are there to paint each of the integers 2, 3,..., 9 either red, green, or blue so that each number has a different color from each of its proper divisors.
What is counting principle?A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It claims that if there are n ways to do something and m ways to do something else after that, then there are n m n*m methods to do both of these acts.
Here,
(1) All prime number can take any of three colors, except one of 2 or 3 as both are connected via 6..
so 2, 5, 7 can have 3 ways each - 3*3*3 = 27 ways
(2) Let us take the multiples of 2..
4 can take any of the remaining 2 colors, while 8 would take the remaining colour. As like 4, 6 can also take any of 2 colors other than the colour of integer 2.
Thus 2*2*1=4
3 is restricted because of 6, so it cannot have the same color as 6 and therefore 3 can have any of the remaining 2 colors.
We could also have taken 3 colors for 6, and then 2 and 3 would have 2 colors each and overall 2*2*3.. We are still getting the same
Only integer left is 9, so it will take any of the 2 colors other than that of 3, so 2 ways..
Total 2*2=4
Combined way of integers = 27∗4∗4=432 ways
There are 432 different methods to paint the numerals 2, 3,..., 9 red, green, or blue so that each number has a different hue from each of its suitable divisors.
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find the circumference using the formula calculate your answer to the nearest hundredth
The circumference of the circle to the nearest hundredth is 21.98 inches.
How to find the circumference of a circle?The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.
The circumference of a circle is the perimeter of the circle. It's the wholes boundary of the circle.
The circumference of the circle can be found as follows:
circumference of a circle = 2πr
where
r = radiusTherefore,
diameter of the circle = 7 inches
radius of the circle = 7 / 2 = 3.5 inches
Hence,
circumference of a circle = 2 × 3.14 × 3.5
circumference of a circle = 21.98 inches
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identify the error in the diagram below. what's wrong with it. 70pts
The triangle does not exist, as the property, the sum of two sides of a triangle is greater than the third side length of the triangle does not hold true.
Describe the triangle.Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric forms is represented by the symbol △ and consists of three connected vertices. Triangles may be categorized into a number of different varieties according to their sides and angles.
It is a triangle's property that the sum of any two sides of a triangle is greater than the third side.
Here sides given are 3 m, 5 m, 9 m.
Let us add the sides length 3 m and 5 m
3 m + 5 m = 8 m
Compare this with the third-side length of the triangle
8 m < 9 m
So, the property does not hold true.
So, the triangle does not exist.
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Peter puts $300.00 into an account to use for school expenses. The account earns 8%
interest, compounded annually. How much will be in the account after 10 years?
Evalúa \dfrac{2}{5}g+3h-6
5
2
g+3h−6start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 cuando g=10g=10g, equals, 10 y h=6h=6h, equals, 6
The value of the algebraic expression 2/5g + 3h - 6 if evaluated when g = 10 and h = 6 is 16.
How to evaluate algebraic expression?2/5g + 3h - 6
When g = 10 and h = 6
Substitute the value of g and g into the expression2/5g + 3h - 6
2/5(10) + 3(6) - 6
open parenthesis20/5 + 18 - 6
4 + 18 - 6
16
In conclusion, the value of the expression 2/5g + 3h - 6 when evaluated is given by 16
Complete question:
Evaluate 2/5g + 2h - 6 start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 when g=10 g, equals, 10 and h=6 h, equals, 6
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The goals in a hockey rink are 6 feet wide. A hockey player is standing 25 feet directly in front of the left side of one of the goals.
a) what is the maximum angle at which the player can shoot the puck to make it in the goal?
b) if the player skates forward 5 feet, how wide of a range of angles can the player shoot the puck to make it in the goal?
c) describe what happens to the maximum angle as the player gets closer to the goal
The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
a)
The given condition makes a right-angle triangle as shown below,
The tan function,
tanθ = 6/25
θ = 14.50°
b)
When a player is 5 feet closer means (20 feet far)
tanθ = 6/20
θ = 16.70°
c)
As the player gets closer the angle becomes more and more.
Hence "The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases".
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Convert the standard form equation into slope-intercept form. 6x-2y=-20
a high school statistics class wants to estimate the average number of chocolate chips in a generic brand of chocolate chip cookies. they collect a random sample of cookies, count the chips in each cookie, and calculate a 95% confidence interval for the average number of chips per cookie (18.6 to 21.3). which interpretation of the 95% confidence interval is valid?
Answer:
Step-by-step explanation:
Use the graphs of f and r to describe the transformation from the graph of f to the graph of r.
The transformation from the graph of [tex]f[/tex] to the graph of [tex]r[/tex] is 4.
The given functions are f(x)=-1/4 x-2 and r(x)=4f(x).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here,
r(x)=4f(x)
So, r(x)=4(-1/4 x-2)
⇒ r(x)=-x-2
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical: stretch
The graph of the functions is given below.
Therefore, the transformation from the graph of [tex]f[/tex] to the graph of [tex]r[/tex] is 4.
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The expected value for getting heads, on 30 coin tosses, is 15. The
expected value for rolling a 1, after 30 die rolls is 5. What is the
expected value of the sum of these events? Enter your answer in the
box.
The expected value of the sum of these events will be 2 / 3.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the expected value for getting heads, on 30 coin tosses, is 15. The expected value for rolling a 1, after 30 die rolls is 5.
The probability of the sum will be calculated as,
P = ( 15 / 30 ) + ( 5 / 30 )
P = ( 20 / 30 )
P = 2 / 3
Therefore, the expected value of the sum of these events will be 2 / 3.
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This one too please ! I’m stressing over here guys !
The expression that is equivalent is y(x + 2) and xy + 2y and x(x + y + 2) and x² + xy + 2x
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Now, let's check if the expression are equivalent by simplifying it.
y(x + 2) and xy + 2y
xy + 2y and xy + 2y
Therefore, the expressions are equivalent.
x(x + y + 2) and x² + xy + 2x
x² + xy + 2x and x² + xy + 2x
They are equivalent expression.
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Can someone help me on this question? I think it’s the 2nd answer but I’m not sure
From the properties of a right triangle is found that the missing length x= [tex]5\sqrt{3}[/tex].
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: (hypotenuse)²= (leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x) , cos (x) and tan (x) .
The sum of the internal angles of a right triangle also is equal to 180°.
The question gives a figure which is compound for two right triangles.
For each triangle is informed two angles, then:
Triangle 1 - It is given the angle 45° and 90°, thus the third angle will be:45+90+ x = 180
135 + x =180
x=180-135
x=45°
Triangle 2 - It is given the angle 60° and 90°, thus the third angle will be:60+90+ y = 180
150+ y =180
y=180-150
y=30°
Thus, the angles for the given triangle are:
Triangle 1 - 45°, 45° and 90°Triangle 2 - 60°, 30° and 90°From the trigonometric ratio sinФ, you can find the hypotenuse the triangle 2. See below.
[tex]sin \theta =\frac{opposite\ leg }{hypotenuse} \\ \\ sin 45 =\frac{hypotenuse \ triangle 2 }{hypotenuse \ triangle 1} \\ \\ \frac{\sqrt{2} }{2}=\frac{hypotenuse \ triangle 2 }{10\sqrt{2} }\\ \\ 2*hypotenuse \ triangle 2 = 10*2\\ \\ hypotenuse \ triangle 2 = \frac{10*2}{2} \\ \\ hypotenuse \ triangle 2 =10[/tex]
If the hypotenuse of triangle 2 is 10, you can apply again the trigonometric ratio sinФ for finding x
[tex]sin \theta =\frac{opposite\ leg }{hypotenuse} \\ \\ sin 60=\frac{x }{hypotenuse \ triangle 2} \\ \\ \frac{\sqrt{3} }{2}=\frac{x }{10}\\ \\2x=10 \sqrt3\\ \\ x=5\sqrt3[/tex]
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Surface area of a rectangular prism 2cm 8cm 7 cm
The surface area of the rectangular prism is 172cm^2
What is a prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross sections. The faces of the prism are parallelograms or rectangles.
The surface area of prism is 2A+ pH
where A is the base area
P is the perimeter of the base
and h is the height
for a rectangular prism, the base area is 2×8=16cm^2
perimeter of a rectangle= 2(l+b)
= 2(8+2)
= 20cm
surface area =( 2× 16) + 20× 7
= 32+ 140
= 172cm^2
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At the fast food restaurant, an order of fries costs $1.08 and a drink costs $1.09. How
much would it cost to get 5 orders of fries and 4 drinks? How much would it cost to
get f orders of fries and d drinks?
Total cost, 5 orders of fries and 4 drinks:
Total cost, f orders of fries and d drinks:
Answer: $9.76
Step-by-step explanation: If you multiply f, the order of fries (5) by the cost of it ($1.08) you would get $5.40 & if you multiply d, the order of drinks (4) by the cost of it ($1.09) you would get $4.36. If you add up both the total numbers, you would get a final answer of $9.76.
Answer:
$9.76
Step-by-step explanation:
1.08f + 1.09d= Total
1.08(5)+1.09(4)= Total
5.40+4.36= Total
Trevor and Michael are hosting a banquet. They plan to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400| = 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Trevor and Michael should reserve so that every guest has a seat?
Answer:
to find the max number of guests:
25x-400 = 50
25x = 50 + 400
25x + 450
then divide
x = 450/25
x = 18
to find the min number of guests:
25x = 400 - 50
25x = 350
then divide
x = 350/25
x = 14
Minimum number of tables reserved:
is dividing the max/7 per table
x = 18/7
x = 3
Step-by-step explanation:
which of the following beverages contains the most alcohol? 12-ounce can of beer 1.5 ounces of 80-proof liquor 5-ounce glass of wine all of these contain the same amount of alcohol
A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.
In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.
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−8×{108÷12−(−3×11−15)÷12}
Answer:
[tex] - 8(9 - ( - 33 - 15) \div 12[/tex]
[tex] - 8(9 - ( - 48) \div 12[/tex]
[tex] - 8(9 + 4)[/tex]
[tex] - 8(13)[/tex]
[tex] - 104[/tex]
Answer:
-104
Step-by-step explanation:
Divide 108 by 12
Calculate -3 × 11 - 15 which is 48
Remove the parentheses
Divide 48 by 12 which is 4
9 + 4 is 13
-8 × 13 = -104
subtract 2w+4 from 2w-6 show your work
Answer:
10
Step-by-step explanation:
(2w + 4) - (2w - 6)
2w + 4 - 2w + 6
2w - 2w + 4 + 6
10
I hope this helps!
angelina drove at an average rate of 80 kmh and then stopped 20 minutes for gas. after the stop, she drove at an average rate of 100 kmh. altogether she drove 250 km in a total trip time of 3 hours including the stop. which equation could be used to solve for the time t in hours that she drove before her stop?
The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let t = time she drove before her stop
If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.
If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.
(80 km/h)(t) + (100 km/h)(8/3 - t) = 250
Simplify the equation.
80t + 100(8/3 - t) = 250
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Select the ordered pair that is NOT marked on the coordinate plane below.
Answer: C. (2, 1)
Step-by-step explanation:
The numbers labeled are
(-5, -8)
(-2, 1)
(4, 0)
(2, 9)
Find coordinates by looking at each line. (x, y)
The x-axis is the horizontal line in the middle.
The y-axis is the vertical line going across.
The x-axis always goes first when plotting down coordinates, and y goes second.
So, the one NOT labeled is C (2, 1)
Nora is going to earn $300 from her summer job. Combined with her savings, Nora will then have $1,500 toward her music school. How much money does Nora have in her savings?
A. 1000
B. 1200
C. 1300
D. 1800
Answer:
1200
Step-by-step explanation:
1,500-300=1200
Write equivalent fractions for 2/3 and 8/11 using the least common denominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
2/3 =
8/11 =
please give me the RIGHT answer immediately for the fractions using the least common denominator
The equivalent fraction for 2/3 and 8/11 is 22/33 and 24/33.
What is least common denominator?
The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
Given fractions are
2/3 and 8/11
L.C.M of 3 and 11 is 33.
We get,
2/3 ×11/11 = 22/33
and
8/11×3/3 = 24/33
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Write and graph linear equations
The equation of the line is y = -3/4x + 10, the graph of the equation has been plotted
The slope of the line = -3/4
The slope of the line the change in y coordinate with respect to the change in x coordinate of the function
The line is passing through the point (0,10)
The point slope form is
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute the values in the equation
y-10 = -3/4(x-0)
y - 10 = -3/4x
y = -3/4x + 10
The equation of the line in slope intercept form is
y = -3/4x + 10
Plot the graph using the slope intercept form
Hence, the equation of the line is y = -3/4x + 10, the graph of the equation has been plotted
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Choose the
system of inequalities that best matches the graph below.
The system of inequalities that best matches the graph is Option C
Step-by-step explanation:
To find the system of inequalities, we simply need to find the equation of each line.
Thus, let's find the inequality that is represented by each line.
Red Line:
First, let’s determine the slope. To do so, we can use the slope formula:
m = (y₂-y₁) / (x₂-x₁)
We can use any two points that's on the Red Line. Using (3, -2) and (6, -4) and substituting them into the slope formula yields:
m = (-4+2) / (6-3) = -2/3
Therefore, the slope of the red line is 2.
To write the equation of the red line, we can use the slope-intercept form:
y = mx + c
Notice that our y-intercept of our red line is (0, 3). Therefore, b = 3 and we already determined that m = -2/3:
y = ((-2/3)x) + (-3)
y = (-2/3)x -3
Now, we need to determine our sign. Notice that the shaded region is below the red line. Therefore, y is less than our equation.
And since our line is shaded, our sign will be less than or equal to. Therefore:
y ≤ (-2/3)x - 3
Blue line:
Again, let’s first find the slope. We can use the two points (3,0) and (0, -3). Hence:
m = (-3-0) / (3-0) = -3/3 = -1
So, the slope is -1.
We can now use the slope-intercept form. Notice that our y-intercept is (0, 0). Thus, we will substitute -1 for m and 0 for b. This yields:
y = -1x + 0
y = -x
Finally, we will determine our sign. Since the shaded region is above the blue line, our y is lesser than our equation. Therefore, our equation is:
y < -x
Thus, all together, our inequalities are:
y ≤ (-2/3)x - 3
y < -x
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Please help
Graph -8+x=4y-16
Answer:
Step-by-step explanation:
I am going to transform this equation into slope-intercept form, as it is usually easier to graph it that way.
Given:
-8 + x = 4y - 16
Add 16 to both sides of the equation:
-8 + x + 16 = 4y
Divide both sides of the equation by 4:
-2 + [tex]\frac{1}{4}[/tex]x + 4 = y
Reflexive property and combine like terms:
y = [tex]\frac{1}{4}[/tex]x + 2
Now, we will graph. The 2 is our y-intercept and the [tex]\frac{1}{4}[/tex] is our slope, graphed as "rise over run." This means we will rise one unit up and run four units right.
See attached.
I need help like asap !!!
only numbers and decimal points
Answer:
c = 11.46 yd
Step-by-step explanation:
Formula we use,
→ (AC)² = (BC)² + (AB)²
Now the value of a will be,
→ c² = (8.1)² + (8.1)²
→ c² = 65.61 + 65.61
→ c² = 131.22
→ c = √131.22
→ [ c = 11.46 yd ]
Hence, value of c is 11.46 yd.
