Answer:
3.5 in
Step-by-step explanation:
Circumference = 2π(radius)
7π = 2π (radius)
7π/2π = radius
Pi in numerator and denominator cancel each other.
7/2 = radius
3.2 in = radius
Answer:
[tex] \bf \huge \: 11 \: inches.[/tex]
Step-by-step explanation:
Given :The circumference of a circle is 7π in.to find :Find its radius, in inches.formula used :r = c/2where,
r = radius c = circumference explanation :⟼ r = c/2
⟼ r = 7×22÷7/2 in
⟼ r = 22/2 in
⟼ r = 11 in.
Hence, radius is 11 inches.Solve the difference of 9x and 8x is 107
Answer:
x = 107
Step-by-step explanation:
If x = 107,
(9 x 107) - (8 x 107) = 107
Then x must be 107.
At a food truck, 1/8 of a whole pizza costs $2. In an hour, 6 ¼ pizzas were sold. How much money was made at the food booth in that hour?
9514 1404 393
Answer:
$100
Step-by-step explanation:
We assume you're interested in the revenue collected by the food truck.
6 1/4 pizzas = (6·4+1)/4 = 25/4 = 50/8 pizzas = 50×(1/8 pizza)
If each 1/8 pizza slice is sold for $2, then the revenue is ...
50 × $2 = $100 . . . . revenue from 6 1/4 pizzas
Consider a cone with a radius of 12 cm and a slant height of 15 cm. Find the surface area. Leave the answer in terms of π
Answer:
The answer is 75.36......
Of the 16 children in the park, seven-eighths are wearing a red shirt. How many children in the park are wearing a red shirt?
Answer:
14 children are wearing a red shirt in the park.
Step-by-step explanation:
The fraction 7/8 is 7 out of 8 but your total kids is 16 so we can go ahead and multiply by 2.
(7*2)/(8*2)
14/16
So now it's 14 out of 16 kids which is the total you have.
Conclusion: 14 Children are wearing a red shirt in the park.
Can someone help meeee plz and no link plz is due in 9 minutes
Answer:
A (4,3)
Step-by-step explanation:
J is inside the parallelogram.
K is indside a trapezium.
So we want to find the coordinates of point J.
Reading from the scales, point J is x = 4 and y = 3.
Writing our answer in the form (x, y) coordinates of J are: (4,3)
help me with this plzzz
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
Which is bigger: 3 pints or 8 cups?
Answer:
8 cups is bigger
Step-by-step explanation:
3 pints = 6 cups
6 < 8
During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________
Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Only 2 of the 11 companies were planning to increase their workforce
This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
i need help [lzzzzzzzzzzzzzzzzz
Complete the equation of the line through (1,4) and (2,2)
Use exact numbers.
y=?
Step-by-step explanation:
slope = 2-4/2-1 = -2
y - 2 = -2(x - 2)
y-2 = -2x +4
y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
(y-4)/(2-4) = (x-1)/(2-1)
(y-4)/(-2) = x-1
y-4 = -2x +2
y = -2x + 6
A is the point (2, 3) and B is the point (7,-5).
Find the co-ordinates of the midpoint of AB.
Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.
Given points,
(2 , 3) and (7 , -5)We have :
x₁ = 2x₂ = 7y₁ = 3y₂ = -5[tex] \red\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Now, refer to the attachment.
Learn more from brainly :
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Answer:
The area would be 40.5 cm ^2
Step-by-step explanation:
Well first you don’t gotta worry about some isosceles trapezoid thingy.
You just gotta know the formula for a trapezoid is (b1+b2)/2)h
B1 in this case is or base 1 (9 or 4.5)
b2 in this case is or base 2 (9 or 4.5)
(you can only choose one base for each)
ANd you add those 2 up and you’d get 13.5
13.5/2 which is 6.75
Now we multiply it by the height which is 6 and gte 40.5
40.5cm ^2 is the final answer
Two investments totaling $15,500 produce an annual income of $1450. One investment yields 10% per year, while the other yields 5% per year. How much is invested at each rate?
Answer:10% rate:
Principal = p
Rate = 0.10
Interest = 0.10p
5% rate:
Principal = 15500 - p
Rate = 0.05
Interest = 0.05(15500 - p) = 775 - 0.05p
0.10p + (775 - 0.05p) = 1450
0.05p + 775 = 1450
0.05p = 675
p = 13500
10% rate:
Principal = p = $13,500
5% rate:
Principal = 15500 - p = 15500 - 13500 = $2000
Step-by-step explanation:
hope it helps
Write an equation of the line with the given slope and y-intercept:
m = -5,6 = 4
a. y = -5x + 4
b. y = 5x + 4
c. y = -5x-4
d. y = 5x - 4
Please select the best answer from the choices provided
Ο Ο Ο Ο
D
Answer:
a. y = -5x + 4
Step-by-step explanation:
Given the following data;
Slope, m = -5
Intercept, c = 4
Mathematically, the equation of line is given by the formula; y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the given parameters, we have;
y = -5x + 4
what is 1086.3961 rounded to the nearest square foot?
Part three of me suffering because of my math homework. ( last part)
Answer:
3 sides
180 degrees
Yes
False
60 degrees
Extending to the side or moving to the side
Rhombus, Square, Rectangle
Acute
Sides
Angles
can you break it down for me.
Answer:
m + 8 ≥ -8
Step-by-step explanation:
1st choice: WRONG
m + 8 ≤ -8
-3 + 8 ≤ -8
5 ≤ -8
2nd choice: WRONG
-m + 8 ≤ -8
-(-3) + 8 ≤ -8
11 ≤ -8
3rd choice: RIGHT
m + 8 ≥ -8
-3 + 8 ≥ -8
5 ≥ -8
4th choice: WRONG
-m + 8 ≤ -8
-(-3) + 8 ≤ -8
11 ≤ -8
PALEEZE Help Me!! The ceiling of Katie’s living room is a square that is 16 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 28 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work and draw a diagram to support your answer.
Answer:
At least 4
Step-by-step explanation:
Photo of my work and where I got the equation from
Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons (the maximum weight that can be tolerated without breaking). It is known that the two standard deviations in load capacity are equal at 5 tons each. An experiment is conducted in which 30 specimens of each alloy (A and B) are tested and the results recorded as follows:
x¯A = 49.5, x¯B = 45.5, x¯A − x¯B = 4
The manufacturers of alloy A are convinced that this evidence shows conclusively that muA & muB and strongly supports the claim that their alloy is superior. Manufacturers of alloy BB claim that the experiment could easily have given x¯A − x¯B = 4 even if the two population means are equal. In other words, "the results are inconclusive!"
(a) Make an argument that manufacturers of alloy B are wrong. Do it by computing
P(x¯A − x¯B > 4 | muA - muB
(b) Do you think these data strongly support alloy A?
Answer:
Step-by-step explanation:
From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:
Alloy A Alloy B
Sample mean [tex]\bar {x} _A = 49.5[/tex] [tex]\bar {x} _B = 45.5[/tex]
Equal standard deviation [tex]\sigma_A = 5[/tex] [tex]\sigma_B= 5[/tex]
Sample size [tex]n_A = 30[/tex] [tex]n_{B}= 30[/tex]
Mean of the sampling distribution is :
[tex]\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0[/tex]
Standard deviation of sampling distribution:
[tex]\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909[/tex]
Hypothesis testing.
Null hypothesis: [tex]H_o: \mu_A -\mu_B = 0[/tex]
Alternative hypothesis: [tex]H_A:\mu_A -\mu_B > 4[/tex]
The required probability is:
[tex]P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010[/tex]
This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.
b)
Since the P-value is very small which is lower than any level of significance.
Then, we reject [tex]H_o[/tex] and conclude that there is enough evidence to fully support alloy A.
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
Find the perimeter of the figure to the nearest hundredth.
6 cm
10 cm
8 cm
12 cm
Answer:
36 cm
Step-by-step explanation:
Perimeter = sum of lenght of all sides
Perimeter = 6 + 10 + 8 + 12
Perimeter = 36 cm
Which equation best describes the graph?
8
2
-8
-6
-4
-2
2
2
8
-2
4
-6
-8
С
A y = 2x + 4
y = -2x +
Dy=-3x+4
B
y = 3x + 4
Answer:
b i think
Step-by-step explanation:
Answer:
b...................
You randomly draw twice from this deck of cards
What is the probability of drawing a 3, then drawing an even number without replacing the first card?
Answer:
probability: 1/10 or 10%
Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
You are conducting a significance test of H0: μ = 5 against Ha: μ > 5. After checking the conditions are met from a simple random sample of 30 observations, you obtain t = 2.35. Based on this result, describe the p-value.
The p-value falls between 0.15 and 0.2.
The p-value falls between 0.025 and 0.05.
The p-value falls between 0.01 and 0.02.
The p-value falls between 0.005 and 0.01.
The p-value is less than 0.005.
Answer:
The p-value falls between 0.005 and 0.01.
Step-by-step explanation:
Random sample of 30 observations, you obtain t = 2.35
This means that the pvalue is 1 subtracted by the pvalue of Z = 2.35, as we are testing that the mean is more than a value.
Looking at the z-table, z = 2.35 has a pvalue of 0.9906
1 - 0.9906 = 0.0094
So, between 0.005 and 0.01.
Answer: The p-value falls between 0.01 and 0.02.
Step-by-step explanation: I took the FLVS test.
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answer:
b
Step-by-step explanation:
Two sides of a quadrilateral have the same length, x, while
the other two sides have the same length, both being the next
consecutive odd integer. Write the sum of these lengths. Then
simplify this expression.
?
Answer:
Step-by-step explanation:
It sounds as though x is odd. The other two sides have length x+2. Perimeter of quadrilateral = 2x + 2(x+2) = 4x + 4
To find the value of the following expression, which task should be completed first?
Answer:
subtract inside the parentheses
Step-by-step explanation:
According to pemdas. It is parenthesis first so you subtr what’s inside first
Answer:
Subtract inside the parenthesis
Step-by-step explanation:
For this problems you have to follow PEMDAS which stand for
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
in that order
Please help me i cannot understand these Questions
Answer:
In the last task, the result is 17+3x/6
Step-by-step explanation:
X+5/3 - 2x-7/6 + x/2
2(x+5)-(2x-7)+3x /6
2x+10-2x+7+3x /6
17+3x/6
I dunno this task above, I hope this one is correct :))
Find the volume of the cone. Round your answer to the nearest tenth
height is 22 meters and the radius is 11 meters
2787.64 is the volume..