Answer:
B. Square
Step-by-step explanation:
PLEASE HELP!!! An investment earns 3% a year compounded monthly. Find the value of an initial investment of $5,000 after 6 years.
Answer:
A = $5,984.74
A = P + I where
P (principal) = $5,000.00
I (interest) = $984.74
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.03/12)(12)(6)
A = 5,000.00(1 + 0.0025)(72)
A = $5,984.74
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3% per year compounded 12 times per year over 6 years is $5,984.74.
How many servings of vegetables were eaten after October 19th?
O A) 13
OB) 20
OC) 26
OD) 39
A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below.
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Required:
At the 1% level of significance, is there evidence of an association between seed density and lawn quality?
Answer:
There is no significant evidence to support the claim that an association between seed density and lawn quality exists.
Step-by-step explanation:
Given the data :
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Using technology to obtain the correlation Coefficient between seed density and lawn quality, the Coefficient, R = 0.6
H0 : ρ = 0
H1 : ρ ≠ 0
We can then calculate the test statistic :
Test statistic = r / √(1 - r²) / (n - 2)
Test statistic = 0.6 / √(1 - 0.6²) / (8 - 2)
Test statistic = 0.6 / 0.3265986
Test statistic = 1.837
Pvalue from test statistic : = 0.11583
α = 0.01
Pvalue > α ;
We fail to reject the null
The question is in the picture.
Answer:
I’m pretty sure it’d be 17 because 15 is the lower extreme.
Step-by-step explanation:
I just learned this. 17 would be the Q1, 20 would be Q2, and 23 would be Q3. I hope this helped you out :)
5. A rectangular parking lot has the length (x + 7) and width of (x + 10). If the total area of the parking lot is
180 m, what are the dimensions of the parking lot?
length
width =
Answer:
length = 12
width = 15
Step-by-step explanation:
if you foil (x+7)(x+10) you get:
x²+17x-110 = 0
the factors are:
(x+22)(x-5) = 0
x = -22 and 5
we can dismiss the negative as irrelevant for a measure; therefore, x = 5
length = 5+7, or 12
width = 5+10, or 15
A manufacturer of compact-disk players subjects the equipment to a comprehensive testing process for all mechanical and electrical functions before the equipment leave the factory. Ideally, the hope is that each compact-disk player passes on the first test. Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9. If 4 compact-disk players are randomly selected, determine the probability for Question a-f and round your answer to four decimal places.
Answer:
Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.
Step-by-step explanation:
For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.
This means that [tex]p = 0.9[/tex]
4 compact-disk players are randomly selected
This means that [tex]n = 4[/tex]
Factorise 5x + 10=
ᴘʟᴀʏɪɴɢ: Who Asked (Feat: Nobody did ) ───────────⚪────── ◄◄⠀▐▐⠀►:/:⠀───○
Answer:
5(x+2)
Step-by-step explanation:
5x + 10=
Factor out 5
5(x+2)
Answer:
[tex]5(x + 2)[/tex]
Step-by-step explanation:
Get 5 out
[tex]5x + 10 \\ 5(x + 2)[/tex]
Which expression will solve for the area of the shaded portion, in square inches?
Answer:
I might be wrong but It's C
108-4
Step-by-step explanation:
I wrote on a sheet of paper and checked over my response to your question.
The table shows the relationship between Megan’s earnings and the hours that she worked.
What is the missing value in the table?
Earnings ($) 19 38 57 ? 95
Hours 2 4 6 8 10
A. 65
B. 66.5
C. 76
D. 85.5
Answer:
C.76
Step-by-step explanation:
2x= 19
x= 9.5
8x =?
8(9.5)= ?
76= ?
Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?
Answer:
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Step-by-step explanation:
V = l*w*h
32 = l*w*4
32/4 = l*w*4/4
8 = l*w
We could have 1*8
We could have 2*4
It must be a rectangle
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
I NEED HELP WITH MY HOMEWORK ASAP!!!!
I dont get it :(
The total cost c a roof technician charges to fix a sink in a house depends on the number h of hours it takes to assess the damages to the roof and repair the roof. This situation can be represented by the function rule 32h + 145. What is the total cost the roofer will charge if he works for 19.25 hours?
Answer:
I believe it is 761 is the cost the roofer will charge.
Step-by-step explanation:
First: Multiply 32 with 19.25 (standing for h), which equals to 616.
Second: Add 616 with 145, which adds up to 761.
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 miles/hour and a standard deviation of 4.72 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour.
(a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding?
Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.)
(b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding?
(c) What is the standard deviation of the number of cars he would expect to watch?
Answer:
a) 0.2347, 0.0007
b) 1.30
c) 0.63
Step-by-step explanation:
Given –
Mean = 73.4
Sigma = 4.7
Probability that the speed is greater than 70 is
P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653
a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347
The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007
b) E (X) = 1/p = 1/0.7653 = 1.30
c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63
Find the area of the figure it says. But I don’t know how? Can somebody explain.
Answer:
Area=120 cm
Step-by-step explanation:
I think for each separate figure you find the area and then add them up to find the total area. The formula to find the area here is length times width or base times height.
First figure: 12 times 5= 60 cm
Second figure=8 times 5=40cm
Together we have 100cm as our area, that might be wrong, look in the comments, thanks for correcting me :)
Find the height of the triangle.
Answer:
4
Step-by-step explanation:
BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4
Assuming the speed of sound is 340 m/s ..
Answer:
You did not finish the question. If you were to finish it, we might be able to help you.
(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?
Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with the gas in his tank?
Answer:
5/6 divided by 1/12 (the last box)
Well thats the only box with the right answer and the equation used is how you get the right answer
Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A
Answer:
See explanation
Step-by-step explanation:
Given
The attached triangle
Required
Complete the ratios
(a) sin B
[tex]\sin(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(B) = \frac{b}{c}[/tex]
(b) cos B
[tex]\cos(B)[/tex] is calculated as:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{a}{c}[/tex]
(c) tan B
[tex]\tan(B)[/tex] is calculated as:
[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(B) = \frac{b}{a}[/tex]
(d) tan A
[tex]\tan(A)[/tex] is calculated as:
[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(A) = \frac{a}{b}[/tex]
(e) cos A
[tex]\cos(A)[/tex] is calculated as:
[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(A) = \frac{b}{c}[/tex]
(f) sin A
[tex]\ain(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\sin(B) = \frac{a}{c}[/tex]
END OF THE YEAR TEST PLEASE HELP
Seung has a wooden block in the shape of a square pyramid as shown below. Derek has the same shaped block but with dimensions that are half of Seung’s block. How many times greater is the surface area of Seung’s block than Derek’s block?
Derek has the same shaped block but with dimensions that are half of Seung’s block. How many times greater is the surface area of Seung’s block than Derek’s block?
Answer:
the answer is 4
Step-by-step explanation:
it is not 1070ml
plz helpppp
Answer:
the answer is 1.7 litres
to compare we must have all quantities in the same unit
converting 1.7 litres to milliliters1.7 × 1000 = 1700 ml
hence, 1700 ml is the largest capacity from the given options
jose 25 kg is father is 5 kg less than 3 times jose's weight what is the weight of jose father
Answer:
Jose's father weighs 70 kilograms.
Step-by-step explanation:
Given that Jose weighs 25 kg, while his father is 5 kg less than 3 times Jose's weight, to determine what is the weight of Jose father the following calculation must be performed:
Jose = 25
Father = 3J - 5
3 x 25 - 5 = Father
75 - 5 = X
70 = X
Therefore, Jose's father weighs 70 kilograms.
PLEASE HELP! I tried adding, using square roots, multiplying but still have not got the correct answer. Not sure how I can solve this problem or where to start.
9514 1404 393
Answer:
38.63 m
Step-by-step explanation:
The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.
The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...
d = √(4² +6²) = √52 ≈ 7.21 . . . meters
The straight line across the top is marked 9 meters.
The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...
semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m
The straight bottom edge of the figure is 4+9 = 13 m.
Then the sum of lengths around the figure is ...
7.21 m + 9 m + 9.42 m + 13 m = 38.63 m
The perimeter of the figure rounded to 2 decimal places is 38.63 meters.
how will the product of two numbers change if one of the factors is multiplied by (-2)?
PLS HELP MEEEE
Answer:
Depends. See below.
Step-by-step explanation:
Let's take 1*-2 for example. If we multiplied 1 with -2, the resulting product will be negative since it's -2. Now if we did -1*-2, then the resulting product will be positive since it's 2.
the radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
2/5 14.1/9 25/5 what is the improper fraction mixed number and common fraction
Answer:
A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.
Step-by-step explanation:
i did it before
hat is the measure of \greenD{\angle x}∠xstart color #1fab54, angle, x, end color #1fab54 ?
An angle labeled 93 degrees is composed of 2 angles joined together. The larger angle is labeled 50 degrees and the smaller angle is labeled x. Its for Khan Academy
Answer:
x = 43
Step-by-step explanation:
The two angles add to 93
x+ 50 = 93
Subtract 50 from each side
x+50-50 = 93-50
x = 43
Answer:
x = 43 °
Step-by-step explanation:
An angle lebeled 93° is composed of two angles joined together.The larger angle is lebeled 50° and smaller angle is lebeled x.sum of two angles is equal to 93°,
50 ° + x = 93 °
Subtract 50° from each side
50° - 50° + x = 93° - 50°
x = 43°
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to
create AA'B'C'. What are the coordinates of the vertices of AA'B'C'?
type the correct answer in each box. spell all the words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s)
WHAT? What does this even mean?
Given AD|GJ. Refer to the figure and provide an appropriate name for
Check the picture below.