Answer:
0.15866 ; 0.0071627
Step-by-step explanation:
Given that:
Mean (m) = 298
Standard deviation (s) = 3
A.) P(x < 295)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (295 - 298) / 3 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
B.)
Z = (x - m) / s /sqrt(n)
Z = (295 - 298) / 3/sqrt(6) = −2.449489
p(Z < - 2.449) = 0.0071627 ( Z probability calculator)
Given values are:
Mean,
m = 298Standard deviation,
s = 3(a)
P(x < 295)
The standardized score will be:
→ [tex]Z = \frac{(x-m)}{s}[/tex]
By substituting the values, we get
[tex]= \frac{(295-298)}{3}[/tex]
[tex]= \frac{-3}{3}[/tex]
[tex]= -1[/tex]
Now,
By using the Z probability calculator, we get
→ [tex]p(Z< -1) = 0.15866[/tex]
(b)
The standardized score will be:
→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]
By putting the values,
[tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]
[tex]= -2.449489[/tex]
Now,
→ [tex]p(Z < -2.449)= 0.007163[/tex]
Thus the responses above are correct.
Learn more about probability here:
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Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20.?
Step-by-step explanation:
Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.
The total no of cabinets are 100
Equation will be : x+y = 110
We can write it as : y = 110-x ...(1)
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.
Equation will be : y = 2x + 20 ...(2)
Put the value of y from equation (1) into equation (2).
110-x = 2x + 20
Combining like terms,
110-20 = 2x+x
90 = 3x
x = 30
Put the value of x in equation (1) :
y = 110-30
y = 80
Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.
What is the equation of the line that passes through the points (0,0) and (-4,-5)
Answer:
y = -4/5x
Step-by-step explanation:
it crosses the y line at 0 so you leave the y-intercept out of the equation
estimate 193.87 ÷ 5
Answer:
38.774
Step-by-step explanation:
Answer:38.774
Step-by-step explanation:
27) What is the formula of area of a circle?
Answer:
πr^2
Step-by-step explanation:
My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):
"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."
Answer:
A=πr2
Step-by-step explanation:
i believe this is the formula
-2x + y = 5
what does y equal and how did you solve it?
Answer:
y=2x+5
Step-by-step explanation:
Let's solve for y.
−2x+y=5
Step 1: Add 2x to both sides.
−2x+y+2x=5+2x
y=2x+5
Answer:
y = 2x + 5
Step-by-step explanation:
-2x + y = 5 or y -2x = 5
We want what y equals so we need to isloate it. To do this, we need to add2x to both sides. This will cancel the 2x on the left side and now we have y alone. Remember, you have to do it to both sides. Therefore:
y = 2x + 5
Note: This equation is in slope-intercept form, y= mx + b
If this was the equation of a line:
m (slope) = 2
b (y-intercept) = 5
Hope this helps!
sam is 12 in four years his age will be 2/3 the age of his cousin like how old will luke be in two years
Answer:
he will be 17 in
Step-by-step explanation:
Ay can anybody please help me with this question !
Answer: a = 45°
Step-by-step explanation:
The measure of∠PSR is given: 90°
Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.
The total of all angles in a triangle is 180. So subtract 90, then divide by 2.
180-90 = 90
90/2 = 45
a = 45°
If "b" is supposed to be the measure of ∠SRQ, that is 15° The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15
Solve x+ - 18x2 + 17 = 0 over the
set of Complex Numbers.
Answer:
x=1,−17/18
Step-by-step explanation:
Evelyn is trying to make extra money on her summer vacation from school. She
works two different jobs, earning $11 per hour washing cars and $13 per hour
clearing tables. How much money would Evelyn earn in a week in which she worked
3 hours washing cars and 7 hours clearing tables? How much money would Evelyn
earn in a week in which she worked x hours washing cars and y hours clearing
tables?
Answer:
Washing Cars: $33
Clearing Tables: $91
Step-by-step explanation: Multiply 11 by 3, and multiply 13 by 7. I hope I helped!
Step-by-step explanation:
for every 1 hour she works she gets 11 dollars washing the cars, so you multiply the number of hours by the amount of money she gets each hour. Like so,
11 x 3 = 33, so 33 dollars from washing cars
next - 13 x 7 = 91 dollars from house cleaning
add together the amount of each so, 33 + 91 = 124, 124 is the answer.
You order the
hardcover book shown from a website that offers free
shipping on orders of $25 or more. Write and solve an
inequality that represents how much more you must
spend to get free shipping.
Price: $19.79
Answer:
19.79+x >= 25
x>=5.21
Step-by-step explanation:
Tora took a short trip of 320 miles. He stopped to have lunch after he had driven 120 miles. Write the fraction of the trip he had completed by lunch in simplest form. Then write the fraction as a decimal.
Answer:
The fraction of the trip completed is ³/₈
The fraction of the trip completed in decimal form is 0.375
Step-by-step explanation:
Given;
total trip to be completed by Tora, = 320 miles
distance completed by Tora, = 120 miles
The fraction of the race that Tora has completed is given as;
[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]
As a decimal the fraction is written as;
[tex]\frac{3}{8} = 0.375[/tex]
whats the degree of 5z^3-2z^4-9z^2+z
Ok we can see that [tex]2z^4[/tex] contains the variable with the highest exponent, 4, so the degree is 4.
the movie theater has 250 seats 200 seats were sold for the current showing what percent of seats of seats are empty
Answer:
80%
Step-by-step explanation: Because if 20% of 250 equal 50 then 200 is 80% because adding 4 50 is 200.
Answer:
80%
Step-by-step explanation:
what ever he /she said
Plzzzzzzzzz help I don’t understand!! I’ll give brainliest to whoever gives me the answer!
Find each angle measure in the triangle.
Step-by-step explanation:
2x + 3x + 4x = 180
9x = 180
x = 20
2x = 2(20)=40
3x = 3(20)=60
4x = 4(20)=80
In Exercises 27 and 28, find the domain of the function
represented by the graph. Determine whether the
domain is discrete or continuous. Explain.
Question 27
The graph on question 27 indicates that there are three points with the locations such as:
(2, 6)(4, 12)(6, 18)In other words, there are three points that lie on the graph with the x-values such as:
{(2, 6), (4, 12), (6, 18)}
We know that the domain includes the set of x-values.
Hence, the domain of the function is:
Domain: {2, 4, 6}Since the points are not connected between them. In other words, there is not a continuous line.
Thus, the function represented on the graph has a discrete domain.
Question 28
The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).
Since there is a continuous line between the points from x = 0 to x = 7.
Thus, the domain of the line function is:
Domain: {0, 1, 2, 3, 4, 5, 6, 7}As the line segment is a continuous line. Thus, the domain is continuous.
3. (05.01)
A consistent, dependent system of equations is a system with ______
(1 point)
Answer: only one line
Step-by-step explanation:
which equation best represents the relationship between X and Y in the table
Answer:
y=3x-2
Step-by-step explanation:
Answer:
y =2x -3
Brainiest pls :)
Shawnda spent $259.20 on a scooter. This was 80% of her budget for a new scooter. How much was the total budget?
The total budget was = $324
The percentage of budget spent = 80%
The cost of 80% of budget spent on scooter = $259.20
But the percentage of total budget = 100%
Therefore the cost of total budget =
[tex] \frac{100 \times 259.20}{80} [/tex]
[tex] \frac{25920}{80} [/tex]
= 324
Therefore the cost of the total budget = $324
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How do I do this???????
umm I'm not sure use a cheating app I geust
What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
Find the missing angle.
A.65
B.75
C.70
D.85
What is the value of 7 in 46.897
Answer:
If your asking its place value its Thousandths
Step-by-step explanation:
.1 is tenths
.01 is hundredths
.001 is thousandths
find the value of x if 5^2 ×5^x-5 =625
Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
HELP!!!! I have never seen this. I will award big brain.
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
ANSWER THE QUESTION AND EXPLAIN plz
A school is going on a trip. There will be 5 busses to take the students. On each bus, there are 70 seats. Teachers will sit in 2 of the seats on each bus.
°How many seats are available for students on the busses?
A. 340
B. 68
C. 72
D. 350
Answer:
A: 340
Step-by-step explanation:
If there are five busses and 70 seats with two seats taken on two busses the steps are.
1. 5x70=350 this means there are 350 seats on the buses.
2. 5x2=10 this means there are 10 seats taken by the teachers.
3. 350-10=340 this means there are 340 available seats.
Answer: A: 340
7.5 cups of sugar to make 14 dozen cookies. To the nearest hundredth, what is the rate of cups of sugar per cookie?
Answer:
0.54 There you go!
There are 168 cookies. 14 times a dozen (12) is 168.
The ratio of cups of sugar to cookies is 7.5 to 168.
If you want to find the cups of sugar you need for 168, divide 7.5 and 168 by 168.
168/168=1
7.5/168 is about 0.04.
The cups of sugar you use for one cookie is 0.04.
(sorry for my horrible grammar lol)
A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?
a. 0 mL
b. 10 mL
c. 30 mL
d. 50 mL
Answer:
30 ml (c)
Step-by-step explanation:
Answer:
30 mL :)
Step-by-step explanation:
Can someone help me out here
Answer:
50, 25
Step-by-step explanation:
Solve and describe the graph of the inequality: j + 16 ≥ -21
Answer:
j ≥ -37
Step-by-step explanation:
j + 16 ≥ -21
move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract)
j ≥ -37
The graph would be a closed circle on -37 with an arrow pointing to the right.
To solve and describe the graph.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.
Given that:
The inequality is
j + 16 ≥ -21
Move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract) the constant term
j ≥ -37
So, the graph would be a closed circle on -37 with an arrow pointing to the right.
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