Answer:
Step-by-step explanation:
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?
L = √d² + h²
Height is equal to [tex]14.59[/tex] feet
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).
[tex]l=\sqrt{h^2+d^2}[/tex]
[tex]l=15[/tex] feet
[tex]d=3.5[/tex] feet
[tex]15=\sqrt{3.5^2+h^2}[/tex]
[tex]15=\sqrt{12.25+h^2}[/tex]
[tex]225=12.25+h^2[/tex]
[tex]212.75=h^2[/tex]
[tex]\sqrt{212.75}=h[/tex]
[tex]h\approx 14.59[/tex] feet
For more information:
https://brainly.com/question/24252852?referrer=searchResults
A shipping company selects 75 random packages to check their weight.It finds that 3 packages were weighed incorrectly. How many packages out of 3000 should the company predict have an incorrect weight?
Answer: 120 Packages
Step-by-step explanation:
Given
75 random packages are check
3 package is found faulty
So, the percentage of error is
[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]
i.e. 4% packages is faulty
For 3000 sample, expected faulty packages are
[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]
cos 55 degrees = sin x
250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science.
Let M be the even that a randomly selected student plans to major in mathematics and C be the event that a randomly selected student plans to major in computer science.
What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?
Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department. In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program. All Program C students take a minimum of five core math courses: Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.
Step-by-step explanation: Hope this helps.
Answer:
2/5
8/25
2/25
16/25
Step-by-step explanation:
6 and 24 ore consecutive terms in a geometric sequence. The term following 24 is what ?
A or B
Choose 1 answer:
Answer:
B
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
4 parts broken into 4 parts
Answer:
b
Step-by-step explanation:
since you are dividing by four, the graph must show 1/4 in for divisions.
What is the sign of a.
when a=0 and b < 0?
b
Choose 1 answer:
Positive
Negative
Zero
Answer:
Zero
Step-by-step explanation:
a=0
So a is neither positive nor negative, its zero.
Please mark brainliest to get your points back!
How are rectangles and parallelograms different?
rectangles have four right angles; parallelograms have two sets of congruent angles.
parallelograms have four congruent sides; rectangles have four sides that are not congruent.
rectangles have four congruent sides; parallelograms have four sides that are not congruent.
parallelograms have four right angles; rectangles have two sets of congruent angles.
Answer:
B
Step-by-step explanation:
Write the function that fits this graph:
-5
0
5
Answer:
f(x) = x
Step-by-step explanation:
The screenshot has the question
2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider
purchasing a hybrid vehicle
a. The firm would like their pilot study to have a margin of error that is no more than 4%. How many
people should be in the pilot study in order to meet this goal at the 95% confidence level?
In a sample of 600 potential car buyers, 376 indicated that they would consider purchasing a hybrid
gas/electric powered car.
b. What is the point estimate for the proportion of potential car buyers that would consider buying a
hybrid vehicle? Calculate this value.
c. Find the 95% confidence interval for the true population proportion of potential car buyers that
would consider purchasing a hybrid vehicle.
d. Name two ways we could reduce the margin of error (Hint: think about the sample size n and the
confidence level)
Answer:
a. The number of people that should be in the pilot study are 600 people
b. The point estimate is 0.62[tex]\overline 6[/tex]
c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)
d. Two ways to reduce the margin of error are;
1) Reduce the confidence interval
2) Use a larger sample size
Step-by-step explanation:
a. The given parameters for the estimation of sample size is given as follows;
The margin of error for the confidence interval, E = 4% = 0.04
The confidence level = 95%
The sample size formula for a proportion as obtained from an online source is given as follows;
[tex]n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}[/tex]
Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;
Z = The level of confidence at 95% = 1.96
n + The sample size
Therefore, we have;
[tex]n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25[/tex]
Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people
b. The point estimate for the population proportion is the sample proportion given as follows;
[tex]\hat p = \dfrac{x}{n}[/tex]
Where;
x = The number of the statistic in the sample
n = The sample size
From the question, we have;
The number of potential car buyers, n = 600
The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376
Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, [tex]\hat p[/tex] = 376/600 = 0.62[tex]\overline 6[/tex]
c. The confidence interval for a proportion is given as follows
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
Therefore, we get;
[tex]CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}[/tex]
C.I. ≈ 0.6267 ± 0.0387
The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. = (0.588, 0.6654)
d. The margin of error is given by the following formula;
[tex]MOE_\gamma = z_\gamma \times \sqrt{\dfrac{\sigma ^2}{n} }[/tex]
Where;
[tex]MOE_\gamma[/tex] = Margin of error at a given level of confidence
[tex]z_\gamma[/tex] = z-score
σ = The standard deviation
n = The sample size
Therefore, the margin error can be reduced by the following two ways;
1) Reducing the confidence interval and therefore, the z-score
2) Increasing the sample size
The maximum walking speed S. in feet per second, of an animal can be modeled by the equation
S = L where g = 32 ft/sec and L is the length in feet of the animal's leg. To the nearest
hundredth, how many times greater is the maximum walking speed of a giraffe with a leg length of 6
feet than a hippopotamus with a leg length of 3 feet?
0.71 times
4.06 times
2.00 times
11 time
Answer:
The answer is 1.41 times
Step-by-step explanation: I had the
Answer:
1.41
Step-by-step explanation:
21 m
15 m
Which is closest to the length of XY?
Answer:
18.0 i think
Step-by-step explanation:
A storage box has a length of 4 inches, width of 4 inches and height of 3 1/2inches. What is the volume of the box?
Yasmin purchase 6 heads of cabbage that each 2 3/8 pounds. How much did the cabbage weigh all together?
Answer:
17.25 lbs
Step-by-step explanation:
6 x 2 3/8
There students Matthew,Thomson and Amos shared 15000 in the ratio 5:2:x respectively.If Matthew's share is 7500 calculate the value of x
Answer:
x= 3
Step-by-step explanation:
Given data
Ratio= 5:2:x
Combined ratio= 5+2+x
= 7+x
Total amount of money= $15000
Let us apply the part to all method
Hence for Matthew whose share = $7500
5/7+x= 7500/15000
Cross multiply we have
7500*(7+x)= 15000*5
52500+7500x= 75000
Collect like terms we have
7500x= 75000-52500
7500x=22500
x= 22500/7500
x=3
Hence the value of x= 3
Tina said that circles in a Venn diagram must always overlap. Is Tina correct yes or no? Explain your answer.
Answer:
No
Step-by-step explanation:
This is because a Venn diagram is made up of two or more circles. The Venn diagram is used to find the amount that everyone agrees with. This means you have to make them overlap in order to find the answer.
what is 1.92 divided by 3?
1.92 divided 3 is 0.64
Answer = 0.64
Hope this helps!
Stay safe!
Which set of ordered pairs represents a function?
can you help me??????????
Answer:
D
Step-by-step explanation:
if you look at the first, second, and third it makes a crooked line. Linear equations MUST have a straight line, or it is not a linear function.
A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Kate wants to buy two shirts priced at $19 each. How much will she pay?
Answer:
$32.3
Step-by-step explanation:
First write 30% in the decimal form
30/100 = 0.3
than the equation written in the form
x = 19 + (19 - 0.3× 19)
x = 19 + ( 19 - 5.7)
x = 19 + 13.3
x =$ 32.3
So, Kate will pay $32.3
The perimeter of the base of a square pyramid is 64 inches. The slant height of the pyramid is 9 inches. What is the surface area of the pyramid.
Answer:
8350.92 = Surface area
Step-by-step explanation:
Use formulas
Length times width for the base
Base times height / 2 for the Triangles
Add them all up and you've got your answer
What is the average rate of change of g over the interval 0 < x < 9?
Give an exact number.
Answer:
Step-by-step explanation:
10/9
Answer:
10/9
Step-by-step explanation:
can someone solve Pythagorean theorem
Answer:
48 units
b= 48 units
Step-by-step explanation:
pythag is [tex]a^2+b^2=c^2[/tex]
we have a and c
so substitute them in
[tex]14^2+b^2=50^2[/tex]
now you can solve
[tex]196+b^2=2500[/tex]
subtract 196 from both sides
[tex]b^2=2500-196[/tex]
subtract
2500 - 196 = 2304
[tex]b^2=2304[/tex]
solve for the square root
square root of 2304= 48
therefore b= 48 units
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
PLS HELP, also watch out for a person sending links there info grabbing dont open
Convert the rectangular coordinates (−2,2sqr3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
Answer:
ler we have a point (x, y) and,
in molar form°
Z = √(x² + y² ) and 0 = tan-¹(y/x).
Since the point (2√3, -2) is in the fourth quadrant, make certain that your angle is also in the fourth quadrant.
Find the perimeter of GHI
it should be 140 if not I'm srry
If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?
A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2
Answer:
C. b = -1, c = -2
Step-by-step explanation:
2 roots: x = -1 and x = 2
(x+1)(x-2) = 0
y = x² - x -2
b= -1 , c = -2
Answer:
The andswer is C b= -1 c=-2
Step-by-step explanation:
I took the quiz!!
The school supply store is selling two different sizes of similar folders. The smaller folder is 6 inches wide and 9 inches
tall. The larger folder is 12 inches tall.
What is the perimeter of the larger folder?
Answer:
The perimeter of the larger folder is 40 in
Step-by-step explanation:
This is because it says the two folders are similar this means that the width of the larger folder is 8 inches because the scale factor is 4/3. You can see this when you divide the length of the larger folder by the length of the smaller folder. So, if you solve 8+12+8+12 to find the perimeter you will get 40 inches
Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!
Given:
Leon had 84 paper clips.
He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
To find:
How many paper clips did Justin get?
Solution:
Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]
= [tex]63[/tex]
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]
= [tex]18[/tex]
Therefore, Justin has 18 paper clips.
If someone can do this i will give 50 points and brainliest pleasee ASAP
Answer:
1) Parellel because if she had sliced perpendicular, she would have gotten a square and a triangle.
2) Perpendicular because if she had sliced parallel, she would have gotten a (once more) square and a triangle.
1) First shape and Last shape (the cylinder and the cone).
2) First shape and Second shape (the pyramid and the cone).
1) This would be a cone - I included a picture of it.
2) This would be a triangular pyramid - I included a picture of it.
Answer:
The person above me is right
Step-by-step explanation:
