Answer:
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375 (37.5%)
Step-by-step explanation:
3. After completing a statistical analysis of a survey of 40 students, the principal
of North High School made the following conclusion: reject the null hypothesis;
there is convincing evidence that more than 50% of students support a schedule
change to have lunch occur earlier in the day. Which error could have been
committed?
(A) Type I error: Conclude that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.
(B) Type l error: Conclude that more than 50% of students want earlier lunch, when
more than 50% want earlier lunch.
(0) Type Il error: Fail to reject that 50% of students want earlier lunch, when more than
50% want earlier lunch.
(D) Type Il error: Fail to reject that 50% of students want earlier lunch, when 50% or less
want earlier lunch.
(E) Type Il error: Fail to reject that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.
Answer:
Option A
Step-by-step explanation:
A type I error is committed when a researcher rejects the null hypothesis when it is actually true.
The null hypothesis is: U <= 50%
The alternative is: U > 50%
Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.
graph the circle (x-7)^2 + (y-5)^2 = 4
Answer:
I graphed the circle below.
Step-by-step explanation:
If this answer is correct, please make me Brainliest!
The graph of the circle is attached.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre.
A circle is also the set of all points that are equidistant from the centre.
A circle is a special case of an ellipse with zero eccentricity and coincident foci.
Given is an equation of a circle, we need to graph, it,
The equation =
(x-7)² + (y-5)² = 4
Here, the center of the circle is (7, 5) and the radius is 2.
Hence, the graph of the circle is attached.
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Find the missing angle.
Which equation represents the relationship between the angles in the figure?
A. 88 + b = 90
889
B. 88 + b = 180
a. 2b + 88 = 90
D. 2b + 88 = 180
Solution:
Please help me with this question I’m not sure if I’m correct
Answer:
5/2
Step-by-step explanation:
Negative slopes go left to right downwards if I remember correctly
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu. u = <-8, -8> and v = <-1,2>
a.) <-0.5, 1> + <-7.5, -9>
b.) <-1, 2> + <-7, -10>
c.) <-1, 2> + <-2, -1>
d.) <1.6, -3.2> + <-9.6, -4.8>
Answer:
c.) <-1, 2> + <-2, -1>
Step-by-step explanation:
hope i helped
Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2
Answer:
D
Step-by-step explanation:
John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5
We get
4/0.5= 8
I always get confused on this Topic can someone help me
Answer:
angle C = 50 degrees
Step-by-step explanation:
The measure of an inscribed angle is always 1/2 of the arc measure.
UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for the first pound, $2.00
for second pound, and $0.25 for each additional pound. How many pounds, p. will it take for UPS and FedEx to cost the same?
Complete the equation that represents this situation.
Answer:
12 pounds
Step-by-step explanation:
It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for the first pound, $2.00 for the second pound, and $0.25 for each additional pound.
Equations to represent the situation in this problem.
x=weight of package
UPS cost=6+1+0.15(x-2)
UPS cost=6+1+0.15x-0.3
UPS cost=6.7+0.15x
FedEx cost=4+2+.25(x-2)
FedEx cost=4+2+0.25x-0.5
FedEx cost=5.5+0.25x
Next, we can set the two equations equal to each other to solve for x.
6.7+0.15x=5.5+0.25x
6.7+0.15x-5.5=5.5+0.25x-5.5
1.2+0.15x-0.15x=0.25x-0.15x
1.2/0.1=0.1x/0.1
x=12
Hence, It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.
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A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?
Answer:
Step-by-step explanation:
so, by the Pythagorean theorem
If it is a right triangle:
a^2 + b^2 = c^2
so,
6^2 = 36
8^2 = 64
10^2 = 100
okay, now we plug these into the equation
36 + 64 = 100
so yes, it is a right triangle.
Hope this helped!
Answer:
No, it's not a right triangle.
Explanation:
If you think about it a right triangle has 2 equal sides. So no this isn't a right traingle.
Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?
Answer: $4107.74
Step-by-step explanation:
In regular polygons, if the number of sides, n, is off, the lines of symmetry will pass through a __________ and the __________ of the opposite side.
Answer:
In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.
can someone plz help me with i don't understand it at allll
Calculating Vacation Costs
Situation:
Imagine that you’ve just won the coveted “Most Likely to Succeed in Math” award! Your prize is $4,500.00, which must be applied to a vacation. You will be provided a list of choices. You, a parent/guardian, and two others will be traveling by car, and you must plan all the expenses for your trip without exceeding $4,500.00.
Special Considerations:
• Do not include costs for souvenirs or extras. These items do not get deducted from the prize money.
• Travel and lodging must be calculated for a round trip.
• You may need two hotel rooms, such as one for girls and one for boys, so make sure to consider who is in the group. All boys or all girls can stay in one room.
• You have various choices and options. Choose what will give you an outstanding vacation.
• You may remain on vacation as long as the prize money is available.
• You must pay all expenses of the group of 4.
• Calculate costs on this sheet.
• Be sure to total costs.
Answer:
i don't understand
Step-by-step explanation:
y=8x + 9
Input/x is 7
Answer:
The answer to this question I believe is y = 65
Step-by-step explanation:
the ratio of the corresponding edge lengths of two similar solids is 4:5. What is the ratio of their volumes?
Answer: i think its b
Step-by-step explanation:
must read!!1
because the other ones for ex: A when 4 times 4 =16 but 5 times 5=25 not same numbers being multiplied this I my hypothesis
In a work problem, what is represented by the number 1? 100% of the job. The first attempt at the work. 1 more attempt at the work is needed. The effort being put forth in the problem.
Answer:
(A) 100% of the job.
Step-by-step explanation:
One important point to remember with work problems is that the entire job is represented by the numeral 1. The 1 represents 100% of the job, when written in percentages. This means that when you are talking about a job, each part that is done is represented by a fraction; and the job is complete when the percentage is 100%.
Answer:
(A) 100% of the job.
Step-by-step explanation:
okay who knows there stuff good ? i failed geometry last year and were back at it plz helppp
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
What creatures terrify Aeneas as he enters the realm of the dead?
Answer:
The sibyl tells Aeneas that he must find and pluck a golden bough from a tree in an ... First, however, he must find and bury the body of a dead comrade. ... spirits and monsters and eventually reach Acheron, one of the underworld's rivers. Here ... Also punished in Tartarus's realm are mortals who have sinned abhorrently
Step-by-step explanation:
Manny is having new carpet installed in his home. The flooring company charges $195 for installations, than $3.50 per square foot of carpet. Identify your variables, then write an equation to represent the total cost Manny will pay for new carpet.
Answer:
y=3.50x+195
Step-by-step explanation:
y=3.50x+195
let y= total cost and x= square feet of carpet needed.
Please help me it’s on probability
Answer:
C--- 15% of all students in grade 6 at HACS are below grade level in math
4.9.21
Solve the system of equations.
y=x² + 6x-2
y= - x2 + 4x + 22
Select the correct choice below and, if necessary, fill in box
- the solution(s) are:
- there is no solution
Answer:
x = -4 or 3
Step-by-step explanation:
[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22
2[tex]x^{2}[/tex] + 2x - 24 = 0
[tex]x^{2}[/tex] + x - 12 = 0
(x + 4)(x - 3)=0
x = -4 or 3
Pleaseeeeee helpppp meeeeeeeeeeeeeeeeeee!!!! Reallyyy need it
Answer:
I cant see the whole question...
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 1/12
Step-by-step explanation:
3+1 is four, when you add the fractions it's going to make a whole cup, and the reminder is 1/12 of a cup
Answer:
answer d or 3 3/12
Step-by-step explanation:
Please help! Surface Area
Answer: The surface area is 219.8 ft
Step-by-step explanation: the radius= 7 and the height=4
2(3.14 x 7) + (2 x 3.14 x 7) 4
43.96 + 175.84
219.8
What is the height of the pole?
top
O 12 ft
O 125 ft
O 18 ft
O 182 ft
Find the surface area of a cube is 150 cm2. What is the length an edge of
the cube? (all of the sides are squares)
Answer:
5
Step-by-step explanation:
The formula is 6x^2
If you set it equal to 150
Answer:
5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 + 5 x 5 = 25 + 25 + 25 + 25 + 25 + 25 = 50 + 50 + 50 = 150
5 would be the missing side because it fits the formula
(A x A) + (A x A) + (A x A) + (A x A) + (A x A) + (A x A) = Surface area
Step-by-step explanation:
What are the solution(s) of the quadratic equation 98 - x2 = 0?
x = +27
x= 163
x = 17/2
no real solution
Answer: it’s c
Step-by-step explanation:
pliz ans this question
Answer:
Hello,
- 6 (x - 2)² - 1
Step-by-step explanation:
- 6 x² + 24 x - 25 = - 6 (x² - 4 x) - 25
= - 6 ( (x - 2)² - 4) - 25
= - 6 (x - 2)² + 24 - 25
= - 6 (x - 2)² - 1
A biased coin is tossed 40 times. Out of those 40 tosses, the coin landed on heads 12 times.
Find the probability of the coin landing on tails.
Answer:
Step-by-step explanation:The probability of picking the biased coin: P(biased coin)=1/100. The probability of all three tosses is heads: P(three heads)=1×1+99×18100. The probability of three heads given the biased coin is trivial: P(three heads|biased coin)=1.
Can you answer the questions
Below please and thank you
Answer:
1. 60
2. 90
Step-by-step explanation:
Answer:
1.
1/5
2.
1/15
Step-by-step explanation:
