Using z-scores, it is found that a female who weighs 1700g has the more extreme value relative to the group from which they came.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For the newborn male, we have that [tex]X = 1700, \mu = 3217.9, \sigma = 780.1[/tex], hence the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1700 - 3217.9}{780.1}[/tex]
Z = -1.946.
For the newborn female, we have that [tex]X = 1700, \mu = 3086.5, \sigma = 523.8[/tex], hence the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1700 - 3086.5}{523.8}[/tex]
Z = -2.645.
Due to the higher absolute value of the z-score, a female who weighs 1700g has the more extreme value relative to the group from which they ca,e.
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a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
Answer:
19.8 rounded to 20m
Step-by-step explanation:
reason;
Area=1/2 x perimeter x apothem
27=1/2 x p x 2.726
Divide both sides by 1/2
54= p x 2.726
Now divide both sides by 2.726 to isolate p
Answer p=19.8
Which expression product is modeled by the tiles(2x+1)(x+1)
[tex](2x + 1)(x + 1)[/tex]
•Distribute
[tex](2x + 1)(x + )[/tex]
[tex]2x(x + 1) + 1( x + 1)[/tex]
•Distribute
[tex]2x(x + 1) + 1(x + 1)[/tex]
[tex]2x² + 2x1(x + 1)[/tex]
•Multiply
[tex]2x² + 2x + 1(x + 1)[/tex]
[tex]2x² + 2x + x + 1[/tex]
•Combine like terms
[tex]2x² + x + x + 1[/tex]
[tex]2x²+ 3x + 1[/tex]
Solution:
[tex]2x² + 3x + 1[/tex]
Explanation:
see the graph
for a Saturday matinee, adult tickets cost $5.50 and kids under 12 pay only $4.00. If 70 tickets are sold for a total of $355, how many of the tickets were adult tickets and how many were sold to kids under 12?
-1/2(x+5)=-10 I WONT BREATHE UNTIL U ANSWER ME!!
Step-by-step explanation:
well don't breath just collect like terms and booom
What is the area of the circle below if the area of the square is 36?
If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The area of the square will be given as 36 square units.
Then the side length of the square will be
36 = a²
a = 6 units
Then the diameter of the circle and side length of the square are equal. Then we have
a = d = 6 units
Then the radius of the circle will be
2r = d
2r = 6
r = 3 units
Then the area of the circle will be
Area of circle = πr²
Area of circle = 3.14 x 3²
Area of circle = 28.26 square units.
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WILL GIVE BRAINLIEST 50 POINTS
These same things are present
∆PQR=∆TUVSo
PQ=TU=12<R=<V=75<Q=180-(45+75)=60°=<UUV=QR=10TV=PR=7m<T=m<P=45Answer:
[tex]\sf \overline{PQ}=12[/tex]
[tex]\sf \overline{UV}=10[/tex]
[tex]\sf \overline{TV}=7[/tex]
[tex]\sf m \angle T=45^{\circ}[/tex]
[tex]\sf m \angle R=75^{\circ}[/tex]
[tex]\sf m \angle Q=60^{\circ}[/tex]
[tex]\sf m \angle U=60^{\circ}[/tex]
Step-by-step explanation:
≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.
When comparing congruent shapes, inspect the order in which the vertices are given in the statement.
Therefore, if ΔPQR ≅ ΔTUV then:
[tex]\sf \overline{PQ} \cong \overline{TU}[/tex][tex]\sf \overline{QR} \cong \overline{UV}[/tex][tex]\sf \overline{PR} \cong \overline{TV}[/tex]Similarly:
[tex]\sf m \angle P \cong m \angle T[/tex][tex]\sf m \angle Q \cong m \angle U[/tex][tex]\sf m \angle R \cong m \angle V[/tex]Therefore, from inspection of the triangles:
[tex]\sf \overline{PQ} \cong \overline{TU}=12[/tex]
[tex]\sf \overline{UV} \cong \overline{QR}=10[/tex]
[tex]\sf \overline{TV} \cong \overline{PR}=7[/tex]
[tex]\sf m \angle T \cong m \angle P=45^{\circ}[/tex]
[tex]\sf m \angle R \cong m \angle V = 75^{\circ}[/tex]
The sum of the interior angles of a triangle is 180°, therefore:
[tex]\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}[/tex]
The dot plot below shows the hourly rate of some babysitters in a city:
A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.
Which statement best describes the shape of the data?
It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has gaps.
It is not symmetric and has a peak at $4.00.
It is symmetric and has a peak at $7.00.
*will mark brainliest*
Answer:
A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.
Answer:
A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.
Step-by-step explanation:
A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.
Melissa Doubet's home is insured for 90% of its replacement value of $94,000, or
$84,600. Use the chart below to determine the amount of coverage for her personal
property.
Insurance Coverage Chart
Coverage
Percent of Coverage
Garage and other structures
15%
Loss of use
30%
Personal property
60%
O $51,276
O $47,328
$50,760
$49,970
Based on the percentage coverage for personal property, the amount of coverage for Melissa's personal property is $50,760.
What is Melissa's personal property coverage?This can be found by the formula:
= Replacement value x Percentage of personal property coverage
Solving gives:
= 84,600 x 60%
= $50,760
In conclusion, Melissa's personal property coverage is $50,760.
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NO LINKS!!! For each below, tell whether the table represents a linear, exponential, inverse or no relationship. Write an equation for each table (if possible).
[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]
[tex]\large \boxed{\sf Quadratic \ Function}[/tex]
Explanation:A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.
There is a better way to understand what type of equation it is after plotting the coordinates on the graph.
Look at the attachment!After looking so, we can determine this as quadratic function.
** Not a exponential, inverse, linear function **
To find equation:Quadratic function: y = a(x - h)² + k
Locate (h, k) = (2, -4)
Take any other suitable point for example = (0, 0)
Insert values to find (a),
a(0 - 2)² - 4 = 0
4a = 4
a = 1
Now Join together: y = 1(x - 2)² - 4 --- Quadratic Equation
Exponential
It should be a parabola
The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex
So on both sides of vertex i e same distance on x from vertex the two x values have same y value .
Observe the table and find similar y values
(0,0) and (4,0)(1,-3) and (3,-3)FIND midpoint of x which is axis of symmetry
0+4/2=21+3/2=2We have been sured axis of symmetry is at x=2
Vertex (2,-4)Form equation
y=a(x-h)²+ky=a(x-2)²-4Put (5,5)
5=a(5-2)²-45=a(3²)-49a-4=59a=9a=9Final equation
y=(x-2)²-46. The three sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter
225 m. Find its area.
find the domain and range
Answer:
Domain: all real numbers (all reals)
Range: y> OR EQUAL TO -2
Step-by-step explanation:
Hope this helps! ;-)
Picture is attached! Select the reason that nest supports Statement 3 on the given proof
The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution
Substitution propertyThe substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.
From the question, we are to determine the reason that best supports Statement 3
In the diagram, statement 3 is
m∠A ÷ 5 = 20°
From the given expressions,
m∠A ÷ 5 = m∠B and m∠B = 20°
By the substitution property, we can substitute 20° for m∠B in the first expression
That is,
m∠A ÷ 5 = m∠B becomes
m∠A ÷ 5 = 20°
Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution
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HELP PLEASE!!! Which shows how to find the value of this expression when x=-2 and y=5?
NEED HELP WITH SLOPE
take two points
(2,4)(-3,-3)Slope
m=y2-y1/x2-x1m=-3-4/-3-2m=-7/-5m=7/5Answer:
[tex]m=\dfrac{7}{5}[/tex]
Step-by-step explanation:
To find the slope of a line, find two points on the line and define them as follows:
[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]
Substitute the points in the slope formula and solve for m:
[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]
Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]
may someone help me please?
Step-by-step explanation:
Radio=
Normal Price = K48.
Discount 20%
Selling Price
Identify the coordinates of the vertex of f(x) = -(x + 5)2 + 8, and identify whether it is an absolute minimum or absolute maximum.
Answer:
It is in vertex form so:
(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8
(h,k)
(-5, 8)
This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.
higher level thinking cell phone plan is shown on the right. Prices, which include an unlimited data plan, are the same every month for 7 months. The total cost for all seven months is $180.39. Let m be the average number of minutes exceeding 700 minutes each month. 700 minutes talked: $19.70 per month Every minute over 700 minutes: $0.05 per minute A. Write an equation to represent the given situation
Equation to represent the given situation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
What is Linear Equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that:
Total cost for 7 month =$180.39
Let m be the average number of minutes that exceeds 700 minutes each month.
Equation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 21.67 + 0.05m = 180.39/ 7,
or, 0.05m = 25.77 – 21.67,
0.05m = 4.1
m= 82
Hence, equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.
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A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.
Answer:
It's 90 if you go through k12 :]
Step-by-step explanation:
The number of ways to choose a combo meal is 24.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
2 drinks, 4 main dishes, and 3 desserts
Now,
To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
2 ways to choose a drink
4 ways to choose a main dish
3 ways to choose a dessert
2×4×3=24
Therefore, by algebra the answer will be 24.
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look at the image and please tell me if I was correct
Answer:
yes
Step-by-step explanation:
you seem to be correct
Tell me the coordinates
Answer:
1) N/A
2) ( -0.714, 3.857)
Step-by-step explanation:
for question 1 since the slope is the same, they will never intersect
for question 2 they intersect at (-0.714, 3.857)
1) as for the coordinates, for y=3x+2 it is (0,2) (-2/3, 0) it's an upward slope
y=3x-5 coordinates are (0, -5) (1.667, 0) it's an upward slope
2) 4x+y=1 coordinates are (0,1) (1/2, 0) it's a downwards slope
y=3x+6 coordinates are (-2, 0) (0,6) it's a upward slope
Which set of graphs can be used to find the solution set to 3e^x> -1/2x?
Step-by-step explanation:
all the pink area above the blue line (above means ">", and the blue line is -1/2 x), and not including the line.
Please help, thank you! Image below
Answer:
The diameter divides a circle into fourths. (False)
The diameter is twice the length of the radius. (True)
The diameter is the distance around the circle. (True)
The diameter is a chord. (True)
The diameter passes through the center of a circle. (True)
The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!
Step-by-step explanation:
Hope this helps!
From your neighborhood softie. :)
Complete the long division problem on your own sheet of paper. Then, fill in the digits. 2 ÷ 694
Answer:
Here!! Hope i helped.
PLS HELP ME ANSWER THIS! 25 POINTS! How much does Janet make in 16 hours?
Answer: 120
Step-by-step explanation:
Janet makes 60 in 8 hours
60 x 2
8 x 2
so the answer is 120
What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.
Answer:
horizontal line
Step-by-step explanation:
The slope formula is m=(y2-y1)/(x2-x1)
-6+6/-4-1
y2-y1 = 0
Round 82585 to the nearest ten thousand. Enter your answer in the box
below.
pls help, urgently!!!
Answer:
Yes, no is correct
Step-by-step explanation:
This is because you only add up the outside sides of the polygon to find the perimeter. None of the inside sides. Hope this makes sense and hope it helps.
Answer:
No, because the friend counted a length that is inside of the polygon, which you don't need for finding the perimeter, since the perimeter is the sum of the outside lengths of the polygon.
Find the factor of each ff.
6z²+12z+18
Answer:
Step-by-step explanation:
6z² + 12z +1 8
= 6(z^2 + 2z + 3).
That's it.
A company rents storage sheds shaped like rectangular prisms. Each shed is 11 feet long, 7 feet wide, and 12 feat tall. The rental cost is $3 per cubic foot. How much does it cost to rent one shed?
Answer:
308
Step-by-step explanation:
so to find how much a rectangular prisim is by
length * with* height
11* 7 * 12
= 924 cubic feet
and then we just divid by 3
=308
Please help? I need to please it will give you a lot of rewards
Answer:
<HAD
Step-by-step explanation: