Answer:
[tex]62in^2[/tex]
Step-by-step explanation:
Formula of total surface area of a prism:
[tex]2(lb+bh+lh)[/tex]
= 2[(7x3)+(1x3)+(1x7)]
= 2[21+3+7]
= 2 x 31
= [tex]62in^2[/tex]
helpppppppppppppppppp
Answer:
19 units, left
Step-by-step explanation:
You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.
Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits the rest in a money market account which promises a 3.75% annual yield. He invests $5000 more in treasury bonds than he deposits in the money market account. If the annual return on his investments is $661.25 how much did Kamran win?
Answer:
Amount won by Kamran = $21,450
Step-by-step explanation:
This can be calculated using the following 3 steps:
Step 1: Calculation of the amount invested in treasury bonds
Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:
PV = P / r …………………………………. (1)
Where;
PV = Present value or the amount invested treasury bonds = ?
P = Annual return on his investments = $661.25
r = Annual rate of return = 5%, or 0.05
Substitute the values into equation (1), we have:
PV = $661.25 / 0.05 = $13,225
Step 2: Calculation of the amount deposited in the money market account
From Step 1 above, we have:
Amount invested treasury bonds = $13,225
Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:
Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225
Step 3: Calculation of the amount won by Kamran
Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450
Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?
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:
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.
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
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).
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.
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
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:
2.4 x 6.7 =
I need the work too
Answer:
16.08
Step-by-step explanation:
Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety in 3 hours. The second door is a trap and brings him back to the mine againafter 5 hours through a tunnel. The third door also is a trap that brings him back to the mine after 7 hoursthrough a tunnel. The miner at all times is equally like to choose any of the doors. (In the darkness he canhardly distinguish the three). What is the expected length of time until he reaches safety
Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours
⚠️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 :)
Work out the difference between 77.5 and 2.27.
Answer:
75.23 is the answer for 77.5-2.27
this is my last question
Answer: B
Step-by-step explanation:because my teacher said she having trouble
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.
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
Find the slope of the line that goes through the
(-4,6) and (2.1)
Answer:
-5/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-6)/(2-(-4))
m=-5/(2+4)
m=-5/6
Can y’all help me on question 19?!
Answer:
Its D
Step-by-step explanation:
Can someone give me the answer and explain it to me? Pls, I’ll mark brainiest.
ASAP HW HELP
if you don’t know answer don’t even comment
Answer:
y=1/4x-3
Step-by-step explanation:
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!!!!
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
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.
this question is confusing me
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:
is 1/2 a solution to the equation 8 -2x = 10x + 3?
Answer yes
Step-by-step explanation:
hope this helps
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]
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.
Compare the original trapezoid and the enlarged trapezoid.
Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.
What is the perimeter of trapezoid ABCD?
What is the perimeter of trapezoid WXYZ?
What is the scale factor for this enlargement?
Answer:
13, 32.5, 2.5
Step-by-step explanation:
Answer:
The answer is in the photo
Step-by-step explanation: