Answer:
$481.25
Step-by-step explanation:
The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is
i = ($3500.00)(0.055)(2.5 yr), or
i = $481.25
Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?
Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355
Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.
Answer:
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 > 0
Test statistic = 3.96
Critical value = 1.67
Reject H0
We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans
Step-by-step explanation:
M= xbar1 = 191 ; M = xbar2 = 190 miles
n1 = 61 n2 = 61
s = 1.429 ; s2 = 1.355
Hypothesis :
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 > 0
Test statistic :
(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]
(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]
1 ÷ √[(0.0334760) + (0.0300987)]
1 ÷ √0.0635747
1 ÷ 0.2521402
= 3.966
Degree of freedom :
df = n - 1
df = 61 - 1 = 60
Critical value :
Tcritical at 0.05%, df = 60
Tcritical = 1.67
Decision region:
Reject H0 if Tstatistic > Tcritical
Since ;
3.96 > 1.67 ; We reject H0
We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans
Help i dont know how to do this type of questions
Answer:
x = 28°
y = 23°
Step-by-step explanation:
5y - 4 + 3y = 180
solve for y
8y = 184
y = 23
3y and 2x + 13 are equal
solve for x now that we know y is 23.
3(23) = 2x + 13
69 = 2x + 13
56 = 2x
28 = x
Answer:
y=23 x=28
Step-by-step explanation:
5y-4 + 3y =180⁰
8y-4=180
8y=184
y=23
3y=2x+13
69=2x+13
-13 -13
56=2x
28=x
Hope this is helpful. good luck
2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly?
Answer:
Step-by-step explanation:
Guss
The measure of an angle is 32.3°. What is the measure of its complementary angle?
Answer:
57.8 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90
Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.
The graph is called a parabola and either opens up or down.
The x-intercepts can be found by factoring and using the zero product property.
The "C" term is the y-intercept of the graph.
Answer:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
Step-by-step explanation:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
The x-coordinate of the vertex is -b/(2a)
DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.
Answer:
y=5x+14
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.
If this helps please mark as brainliest
Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?
Answer:
10.92
Step-by-step explanation:
136.5*(8/100)that is tax
Answer:10.92
Step-by-step explanation:
Please answer all questions correct and fast for brainlest
Answer:
8. -3x+10
9. 9-4y
10. -7x+3
11. -3x+4+4y
Step-by-step explanation:
collect like terms :)
Answer:
8) -3x+10
9) 9-4y
10) -7x+3
11) -3x+4y+4
Help!!!!!!!!!!! !!!!!
Answer:
D. 3900π
Step-by-step explanation:
volume = 1/3 πr²h ... r = 30, h = 13
v = 1/3 * 30² * 13 * π = 3900π
What is the quotient of (2m4 +21m3 + 35m2 – 37m +45) = (2m + 7)?
Answer:
3rd option is the answer
Step-by-step explanation:
hope u understand
what is the surface area in square inches of the prism
Answer: the answer is 25
Step-by-step explanation:
(HELP)What is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer
Answer:
26cm
Step-by-step explanation:
7+7+6+6=26
Answer:
26 cm
Step-by-step explanation:
7x2 because of 2 sides
12x2 because of 2 sides
14+12=26
Hey can you somebody help me with this problem
Step-by-step explanation:
sinx=20/36
x=sin-¹20/36
x=34
What’s the answer and how do you figure these out?
a number b divided by 3 is 6 less than a number c
Answer:
b/3 = c - 6
Step-by-step explanation:
A number b divided by 3 is 6 less than a number c
b/3 = c - 6
PLEASE HELP SOON
The diagram below shows vector v.
Given transformation matrix T = [-1 0 0 1], which diagram shows the application of T to v?
(pictures attached)
Answer:
A.
Step-by-step explanation:
[tex][6\:\:1]\begin{bmatrix}-1&0\\0&1 \end{bmatrix}=[6(-1) + 1(0)\:\:6(0)+1(1)]=[-6\:1][/tex]
Answer:
A on edge
Step-by-step explanation:
PLS HELP 30 POINTS
If the dimensions of the following cylinder are tripled, what factor will the volume change by?
81
27
3
9
Answer: 27
Step-by-step explanation:
The graph of f(x) = x2 + x - 6 is shown below.
What are the solutions to f(x) = x2 + x - 6 PLEASE HELPPP
Answer:
the solutions of a function are the points where for some value of x the function becomes zero
thus the solns for this graph would be
-3 , 2that's option 1.
Thank you for your help! Pls no links.
Answer:
Exactly 4 pitches: 15/100
= 0.15
conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a chi-square analysis. Their chi-square sum was 0.85. If their sum is less than the probability value, then their data fits their experiment to reject the null. If their sum is greater than the probability value to, then their data does not fit their experiment to accept the null. What was the conclusion of the data results for their experiment
Answer:
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Step-by-step explanation:
There are 3 colors so degrees of freedom = 3-1 = 2
The chi square value = 0.85
The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
The p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Write the number 9.9 x 10-5 in standard form.
In a survey 125 people, 90 people liked orange juice or grape juice. There are 62 people who like orange juice and 43 people who like grape juice. What is the probability that a randomly selected person likes both juices?
Answer:
0.12 = 12% probability that a randomly selected person likes both juices.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We solve this question treating these events as Venn probabilities.
I am going to say that.
Event A: Like orange juice.
Event B: Like grape juice.
In a survey 125 people, 90 people liked orange juice or grape juice.
This means that:
[tex]P(A \cup B) = \frac{90}{125}[/tex]
62 people who like orange juice and 43 people who like grape juice.
This means that:
[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]
What is the probability that a randomly selected person likes both juices?
This is [tex]P(A \cap B)[/tex], which is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].
With the values in this problem:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]
0.12 = 12% probability that a randomly selected person likes both juices.
Identify the qualitative data in a given study.
A miles per gallon for different cars
B styles of different cars
C number of cars that are sold
D average price of cars sold
Answer:
b
Step-by-step explanation:
the styles of different cars are qualitative because it is not given a number, just the different styles.
Hope this helps
A garden flower grows a total of 10 cm in July and August. Assuming that the flower grows at a consistent rate for a full year, how much will the flower grow in a year?
9514 1404 393
Answer:
60 cm
Step-by-step explanation:
July and August are 2 of the 12 months in the year. The growth for the year can be expected to be 6 times the growth in a 2-month period, so 60 cm.
_____
You could get down to particulars as to the number of days in those two months versus the total number of days in a year. You would have to specify whether it is a leap year. In a non-leap year, the growth might be ...
365/(31+31) × 10 cm ≈ 58.9 cm
In a leap year, it would be 59.0 cm.
Question 3
1 pts
Suri has 6 chapters to read over 4 days. How
many chapters will she need to read each day?
02.
0 1 1/2
O 3/4
O 1 1/4
what is 1/4 +1/4+1/2+1/4+1/2+1/8+1/8+1/2+1+1+1/4 simplified!!!!!
Answer:
[tex]4\frac{3}{4}[/tex]
4.75
Step-by-step explanation:
0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25
0.125 + 0.125 = 0.25
0.25 + 0.25 + 0.25 + 0.25 = 1
0.5 + 0.5 + 0.5 = 1.5
1 + 1 = 2
0.25 + 1 + 1.5 + 2
4.75
Answer:
The answer is 4 3/4
Hope this helps! good luck :)
The unit rate of fragance a is $ , and the unit rate of fragrance b is $
Answer:
Table
Bottles Price($)
3 78
6 156
9 234
From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.
That means that the unit rate of this fragance is $26.
If you call x the number of bottles the equation is
Price = unit rate * number of bottles = 26x.
Now compare this information with that on your graph to compare the unit rates.
This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =
[change in y-coordinate] / [change in the x-coordinate]
Step-by-step explanation:
Answer:
3 and 78
Step-by-step explanation:
I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?
Answer:
Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.
A right circular cone is a radius 5 inches and height 8 inch
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The given values are :
height (h) = 8 in radius (r) = 5 inWe know,
[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]
[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex][tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex][tex]l = \sqrt{64 + 25} [/tex][tex]l = \sqrt{89}[/tex]Now,
[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]
[tex]\pi \times 5 \times \sqrt{89} [/tex][tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]Therefore the correct answer is :
D. 5π√89 in²
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
How to calculate the lateral area of the cone?The formula for calculating the lateral area of the cone is expressed as:
V = 1/3πr²h
where:
r is the radiush is the heightGiven the following
r = 5in
h = 8n
Substitute
L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)
Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
Learn more on lateral area here: https://brainly.com/question/1601740
Find the midpoint of the segment with endpoints of (3.5, 2.2) and (1.5, -4.8)
and enter its coordinates as an ordered pair. If necessary, express
coordinates as decimals.
Answer:
(2.5, -1.3)
Step-by-step explanation:
x = (3.5 + 1.5) / 2
x = 5/2
x = 2.5
y = (2.2 - 4.8) / 2
y = -2.6/2
y = -1.3
(2.5, -1.3)