A train travels 4.4 miles in
4 minutes. At this rate, how many miles will it
travel in 58 minutes?
Answer:
63.8 miles
Step-by-step explanation:
If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.
4.4/4 = 1.1
So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.
11x580 = 5800+ 580 = 6380
Since we multiplied both numbers by 10, we have to divide 6380 by 100.
6380/100 = 63.8
So, the train travels 63.8 miles in 58 minutes.
A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]
Answer: B) [-0.0332,0.1332]
Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.
The confidence interval for a difference in population proportion is calculated following these steps:
First, let's find population proportion for each population:
[tex]p_{1}=\frac{30}{120}=0.25[/tex]
[tex]p_{2}=\frac{32}{160}=0.2[/tex]
Second, calculate standard deviation for each proportion:
[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]
[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]
Now, we calculate standard error for difference:
[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]
[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]
SE = 0.0505
The z-score for a 90% CI is 1.645.
Then, confidence interval is
[tex]p_{1}-p_{2}[/tex] ± z-score.SE
[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]
0.05 ± 0.0831
The limits of this interval are:
inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]
superior: 0.05 + 0.0831 = 0.1332
The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].
find all the numbers whose absolute value is -6
Answer:
6
Step-by-step explanation:
:-)
Can someone help me with this problem and help me understand it better
Answer:
Proved
Step-by-step explanation:
Given
The attached table
Required
Prove that Lydia is incorrect
Firat, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (5,19)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
So, we have:
[tex]m = \frac{15 - 19}{4 - 5}[/tex]
[tex]m = \frac{-4}{-1}[/tex]
[tex]m=4[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x-x_1)[/tex]
Where:
[tex](x_1,y_1) = (5,19)[/tex] and [tex]m=4[/tex]
This gives:
[tex]y - 19 = 4(x-5)[/tex]
[tex]y - 19 = 4x-20[/tex]
Make y the subject
[tex]y = 4x-20+19[/tex]
[tex]y = 4x-1[/tex]
The above shows the equation. Hence, the Lydia is correct
3. A game console originally is priced at $120. Demand increases the cost by 75%. What is the new price? Show your work
Answer:
New price = $210
Step-by-step explanation:
Given:
Original price = $120
Increase in cost = 75%
Find:
New price
Computation:
New price = Original price + Increase in cost
New price = 120 + 120(75%)
New price = 120 + 90
New price = $210
The checker piece near the middle of the board can move diagonally in any directions between shaded squares. On how many different squares can the piece be located at the end of one turn?
URGENT I REALLY NEED HELP ANYONE? PLEASE
10. A can of coconut milk is 12 cm high and 8 cm in diameter. Calculate the volume of the can.
Use 3 as a value for π.
Answer: [tex]384cm^2[/tex]
Step-by-step explanation:
Volume is base* height
the base a the circle
area of a circle: [tex]\pi r^2[/tex]
the radius is 1/2 of the diameter, so it's 4
[tex]3*(4^2)=\\3*16= 48[/tex]
To find the volume I multiplied it by 8 (height)
[tex]48*8=384[/tex]
8- 2r+6r+5=? use r = 8
Answer:
45
Step-by-step explanation:
8 - 16 + 48 + 5
-8 + 48 + 5 =
40 + 5 =
45
Hope that helps!
How many types of congruence criterion are in total.Name them
Answer:
Various types of Congruency are:
1. ASA (Angle Side Angle)
2. SSS (Side Side Side)
3. SAS (Side-Angle-Side)
4. AAS (Angle-Angle-Side)
5. RHS (Right angle-Hypotenuse-Side)
As of what I had learned (class 9) this is all but I am not sure if there are more
What is the slope of the line through (-4, 2) and (3, -3)? Choose 1 answer: (Α) 7 5 B 7 5 С 5 7 D 5 7
Answer:
-5/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-2)/(3-(-4))
m=-5/(3+4)
m=-5/7
if anyone knows the answer
Answer:
C. (x + 8) ( x - 8)
Step-by-step explanation:
x² - 64
= x² - 8²
= (x + 8) ( x - 8)
Hope it will help :)
The product of an irrational number and a rational number will be
Answer:
an irrational number
Step-by-step explanation:
For every 4 teaspoons of water is one cup of powder how many cups of powder do I need for 16 teaspoons
Answer:
4
Step-by-step explanation:16 divided y 4 is 4
Journal: Explain how you can check your answers on algebraic equations to know that you are right! Example: 2x = 12*
um if someone could help that would be great this one is not a big deal;-;
3. The students of Sunshine High School are raising money to
support the sports teams. A local organization donated boxes of
popcorn and candy for the students to sell. The freshmen are selling
boxes of popcorn for $1.50 each, and the sophomores are selling
boxes of candy for $3 each. The students' target is to raise at least
$650. The sophomores expect to sell at most 95 boxes of candy. Let
x represent the number of boxes of popcorn sold and y represent
the number of boxes of candy sold. Which system of inequalities
models the given situation?
A. 1.5x +3y > 650
y < 95
B. 1.5x +3y > 650
y < 95
C.
1.5x +3y < 650
y > 95
D.
1.5x +3y > 650
y < 95
Answer:
1.5x + 3y ≥ 650y ≤ 95Step-by-step explanation:
Boxes of popcorn = x, each cost = $1.50
⇒ total = 1.5xBoxes of candy = y, each cost = $3
⇒ total = 3yTotal money raised, sum of the above two:
1.5x + 3yTarget is to raise at least $650:
1.5x + 3y ≥ 650The sophomores expect to sell at most 95 boxes of candy:
y ≤ 95The system of inequalities:
1.5x + 3y ≥ 650y ≤ 95Write an expression in terms of x that represents the distance (in feet) between Deandre and Paige.
Answer:
Escribir cada expresión en términos de seno. 2. Escribir cada expresión en términos de coseno . 3. Expresar la función dada en términos de la función que se indica en cada literal. 4. Utilizar las identidades fundamentales para escribir una expresión equivalente a la expresión dada. Luego, simplificar. 5. Factorizar las siguientes ...
Step-by-step explanation:
Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Please help. I hope u r all safe. Please help thanks so much.
Answer:
189.3 cm^2
Step-by-step explanation:
split into a rectangle and a semi-circle
rectangle=LxW=10x15=150 cm^2
radius (r)=1/2 diameter=5 cm
semi-circle=1/2(pi)r^2=1/2(3.14)(5^2)=39.25 cm^2
150+39.25=189.25 cm^2
While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi
Answer:
9.6 m
Step-by-step explanation:
let 'x' be distance traveled
196 = 3.14(6.5)x
196 = 20.41x
x = 196/20.41
x = 9.6
You can afford 1,100 per month monthly mortgage. You've found a 30 year loan at 7% interest.
How much total money will you pay the loan company?
How much of that money is interest?
Real answers only please
Answer:
These days — with conventional mortgage rates running about 4% — a $1,000 monthly Principle & Interest (P&I) payment gets you a 30-year loan of about $210,000. Assuming a 10% downpayment, that's a $235,000 home
i think this is a similar answer please try to answer this question by the help of this...
Michael ordered the food and drinks below for himself and three friends. •3 hot dogs for $2.99 each •3 bags of French fries for $1.99 each •2 hamburgers for $3.99 each •4 drinks for $0.79. Michael and his friends will share the total cost of the food and drink equally. What was the cost per person?
Answer:
$6.52
Step-by-step explanation:
The 4 four friends got three hot dogs for $2.99. Multiply 3 hot dogs by $2.99, which is $8.97 They also got 3 bags of french fries for $1.99. Multiply 3 bags of french fries by $1.99, which is $5.97. Then, they decided to get 2 hamburgers for $3.99 each. Multiply 2 hamburgers by $3.99, which is $7.98 They wanted drinks to cool themselves off, so they got 4 drinks for $0.79. Multiply 4 drinks for $0.79, which is $3.16Take all of the numbers that was calculated and add them up together ($8.97 + $5.97 + $7.98 + $3.16) and you will get $26.08 as the total.They decided to split it equally, so take the $26.08 total and divide it by 4. You will get $6.52 per person.Figure A is original and Figure B is the copy.
Answer:
scale factor = 3.5; missing side = 17.5 cm
Step-by-step explanation:
see attached image
how can I learn to understand it more
Step-by-step explanation:
Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.
A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π
Answer:
75.36 inches
Step-by-step explanation:
C = π·d
C = 3.14(24)
C = 75.36
Please help i cant do it
A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
Answer:
frequency= 165Hz
period= [tex]\frac{1}{165}[/tex]
Step-by-step explanation:
1. To calculate the frequency using the formula:
f = v/λ
where,
f=frequency (what the question asked)
v=speed of wave (given in the question=330m/s)
λ=wavelength (given in the question=2m)
SO,
[tex]f=\frac{330}{2}[/tex]
= 165Hz
2. To calculate the period use the formula:
since [tex]f=\frac{1}{T}[/tex]
therefore, [tex]T=\frac{1}{f}[/tex]
where,
f= frequency (what we solved above=165Hz)
T= period (what the question asked)
SO,
[tex]T=\frac{1}{165}[/tex]
please i really need help!!! thnakss
Answer:
The first answer will be 96 batches and the second one will be 0.90 cents per batch
Step-by-step explanation:
Hope this Helped
Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his pizza. How much pizza was left. Answer to the simplest form.
Answer:
1/8
Step-by-step explanation:
What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:
6/8. 4/8, 7/8
We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.
Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.
Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.
Add: 1/8 + 2/8 + 4/8 = 7/8
This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.
Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.