Answer:
a) 1350 minutes
b) 790 minutes
Step-by-step explanation:
a) Firstly, we know that:
1 hour = 60 minutes
So take 10 hours out of 22,
10 hours = (60 x 10) minutes
10 hours = 600 minutes
Thus, you have another 12 hours remaining so take another 10 hours which is another 600 minutes. Finally you have 2 hours remaining.
2 hours = (60 x 2) minutes
2 hours = 120 minutes
To get the total answer, add everything and don't forget the other 30 minutes.
600 + 600 + 120 + 30 = 1350 minutes
b) Like we did before, take out 10 hours
10 hours = 600 minutes
Now we have 3 hours remaining so:
3 hours = (60 x 3) minutes
3 hours = 180 minutes
Add everything together, without forgetting the other 10 minutes.
600 + 180 + 10 = 790 minutes
Can someone give me the answer and explain it to me? Pls, I’ll mark brainiest.
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. 3/4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture
weigh?
Find the length of DC.
Answer:
sqart(89) in
Step-by-step explanation:
As triangle ABC is a right triangle, so sqrt(5^2 + 8^2) = sqrt(89) approximately 9.43 in.
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administration believes that the new class of freshmen have a different mean exam score. A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
Calculate a 99% confidence interval. List the lower bound (rounded to 2 decimal places) and the upper bound (rounded to 2 decimal places).
Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
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].
A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means that [tex]n = 65, \pi = 0.76[/tex]
99% confidence level
So [tex]\alpha = 0.005[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.005}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964[/tex]
0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
is 1/2 a solution to the equation 8 -2x = 10x + 3?
Answer yes
Step-by-step explanation:
hope this helps
2.4 x 6.7 =
I need the work too
Answer:
16.08
Step-by-step explanation:
the length of a pool 2 km long is represented on a map with a length of 20cm. what is the map scale used?
Answer:
The scale used is 1: 10,000 cm.
Step-by-step explanation:
Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:
2 km = 2,000 m
1m = 100cm
2,000 x 100 = 200,000
20: 200,000
10: 100,000
1: 10,000
Thus, the scale used is 1: 10,000 cm.
Answer:
10,000
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, the measure of ∠R=53°, and SQ = 93 feet. Find the length of RS to the nearest tenth of a foot.
Answer 70.1
Step-by-step explanation:
Find the area of the region enclosed by the graphs of the functions
f(x)=x, g(x)=x^3
by partitioning the x- axis.
(Use symbolic notation and fractions where needed.)
Answer:
[tex]\displaystyle A = \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality PropertiesAlgebra I
Terms/CoefficientsFunctionsFunction NotationGraphingCalculus
Area - Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
*Note:
Remember that for the Area of a Region, it is top function minus bottom function.
Also remember that finding area and evaluating are two different things.
Step 1: Define
f(x) = x
g(x) = x³
Bounded (Partitioned) by x-axis
Step 2: Identify Bounds of Integration
Find where the functions intersect (x-values) to determine the bounds of integration.
Simply graph the functions to see where the functions intersect (See Graph Attachment).
Interval: [-1, 1]
1st Integral: [-1, 0]
2nd Integral: [0, 1]
Step 3: Find Area of Region
Integration.
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^0_{-1} {[x^3 - x]} \, dx + \int\limits^1_0 {[x - x^3]} \, dx[/tex][Area] Rewrite Integrals [Integration Property - Subtraction]: [tex]\displaystyle A = (\int\limits^0_{-1} {x^3} \, dx - \int\limits^0_{-1} {x} \, dx) + (\int\limits^1_0 {x} \, dx - \int\limits^1_0 {x^3} \, dx)[/tex][Area] [Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = [\frac{x^4}{4} \bigg|\limits^0_{-1} - (\frac{x^2}{2}) \bigg|\limits^0_{-1}]+ [\frac{x^2}{2} \bigg|\limits^1_0 - (\frac{x^4}{4}) \bigg|\limits^1_0][/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = [\frac{-1}{4} - (\frac{-1}{2})] + [\frac{1}{2} - \frac{1}{4}][/tex][Area] [Brackets] Add/Subtract: [tex]\displaystyle A = \frac{1}{4} + \frac{1}{4}[/tex][Area] Add: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
this is my last question
Answer: B
Step-by-step explanation:because my teacher said she having trouble
Please help. Dont put a random answer plz.
Step-by-step explanation:
i think d x = 12 (0.42)
hope it is helpful to you
I need help on this question please and thank you that would be great
Answer:
w independant a dependant
Step-by-step explanation:
In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 17% have inadequate calcium intake. For those who are 11 to 13 years of age, 54% have inadequate calcium intake. Use Bayes's rule to find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
Answer:
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Inadequate intake
Event B: Is 11 to 13 years old.
48% are 11 to 13 years of age.
This means that [tex]P(B) = 0.48[/tex]
For those who are 11 to 13 years of age, 54% have inadequate calcium intake.
This means that [tex]P(A|B) = 0.54[/tex]
Probability of inadequate calcium intake:
0.17 of 0.52(5 to 10 years old)
0.54 of 0.48(11 to 13 years old). So
[tex]P(A) = 0.17*0.52 + 0.54*0.48 = 0.3476[/tex]
Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.48*0.54}{0.3476} = 0.7457[/tex]
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Simplify (-9p+7)-(-9p+3)
[tex]\tt{}( - 9p + 7) - (9p + 3)[/tex]
[tex]\tt{} - 9p - 7 + 9p + 3[/tex]
[tex]\tt{}7 - 3[/tex]
[tex]\tt{}4[/tex]
Which graph shows the line y = 4x - 2?
Answer:
Line A
Step-by-step explanation:
Line A is the blue line with the y-intercept of (0,-2) and positive slope of 4.
2/5 x 10/22 in simplest form
Answer:
2/11
Step-by-step explanation:
You would have to do 2 times 10 which equals 20. Than 5 times 22 which is 110. No to reduce you have to find the Greatest Common faction which is 10. So 20 divided by 10 equals 2 and 110 divided by 10 is 11.
Evaluate the following: 18/3 + 4 x 5 -2 *
A.24
B.48
C.18
D.13
Answer:
A. 24
Step-by-step explanation:
1. 4 x 5 then 2. 18/3 then 3. - 2
Answer:
A. 24
Step-by-step explanation:
Which of the following is equivalent to
X^2 - 8x - 7 =0
A.) (x-8)^2 = 15
B.) (x-4)^2 = 15
C.) (x-8)^2 = 23
D.) (x-4)^2 = 23
Answer: it will be D
Step-by-step explanation: if You graph them you will get the same coordinate plates
In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What is the fraction of the students who bought their lunches got a slice of pizza. Write your fraction in simplest form.
3/7x84=36
Ans: 9/36=1/4
FOR THE SMART MATH PEOPLE
WILL GIVE BRAINLIEST
This figure shown is NOT a square because a square has all angles are 90º.
It is a rhombus and a parallelogram because they both have a parallel sides(At least 2). NOW GIVE ME BRAINLIEST!!!!
could someone help me out ill mark brainliest
Step-by-step explanation:
1. The first graph has a negative slope (increases to the left) and has a y-intercept of 3. So, the equation of the line would be y = -2x + 3.
2. The second graph has a positive slope (increases to the right) and has a y-intercept of -3. Therefore, the equation of the line would be y = 2x - 3.
3. The third graph has a negative slope and has a y-intercept of -3. So, we can say that the equation of the line would be y = -2x - 3.
4. The fourth graph has a positive slope and a y-intercept of 3. Therefore, the equation of the line would be y = 2x + 3.
five friends went to a game baseball .Three of the friends each bought a ticket for x dollars and a soda for $6.00 the other two friends each bought only tickets. Write and simply an expression they represent the amount of money spent
Answer:
Total amount spent = 3X+18 +2X = 5X +18 = Total amount spent
Now if we know the total amount spent we can find the price of each ticket
But that is not given unfortunately
Step-by-step explanation:
hope it helps ( ꈍᴗꈍ)
ASAP HW HELP
if you don’t know answer don’t even comment
Answer:
y=1/4x-3
Step-by-step explanation:
Solve 3(4x + 5) = 33
You may use the flowchart to help you if you wish.
Answer:
This is so simple omg
Expand ”4x+5” out so...
12x + 15 = 33
12x = 33 - 15 = 18
12x = 18
x = 1.5
Answer:
Step-by-step explanation:
⚠️HELP DUE TODAY⚠️
The area of a rectangular garden is x^2- 5x - 24. Factor the trinomial to find the dimensions of the rectangular garden in terms of x
Answer: (why is it 5 points?) Thats ok.
5 times what X is - 24 meaning whatever X is also by sry i don't make a lot of sense but i'm smart and know the answer. I will change it later after i find out which shouldn't take too long.
Step-by-step explanation:
Thanks, stay safe, have a great life! Byes! Brainliest then i will give answer! ;) :) :P XD :3 (: hehe :)
Find the area of each of the following
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
I did part a and b, i need help with the question that says " does the cup hold the exact volume of scoop of ice cream" and part C
Answer:
See below.
Step-by-step explanation:
Part a is correct.
The volume of part b is correct.
The volume of a scoop is 268 cm^3.
The volume of the cylindrical cup is 402 cm^3.
Part b)
Question: Does the cup hold the exact volume of the scoop? Explain.
Answer: No. The cup holds 402 cm^3 up to the brim. If you overfill it like the picture shows, it will hold even more than 402 cm^2. A scoop is only 268 cm^3, so a cup holds more than the scoop.
Part c)
volume of cone = (1/3)(pi)r^2h
V = (1/3)(3.14159)(4 cm)^2(8 cm)
V = 134 cm^3
this question is confusing me
Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?
An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis that there is no difference between the average yields using the different fertilizers, if the test statistic is 1.53 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis?
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.