Answer:
[tex] \frac{11}{8} = 1.375[/tex]
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?
Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004
Using the relation ::
Zscore =(X - μ) ÷ σThe mean, μ = np = (162 × 19) = 3078
The standard deviation, σ = 28 × √19 = 122.049
The Zscore :
Zscore = (3401 - 3078) ÷ (122.049)
Zscore = 2.65
Hence,
P(Z > 2.65) = 1 - P(Z < 2.65)
Using a normal distribution table :
P(Z > 2.65) = 1 - 0.9959
P(Z > 2.65) = 0.004
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A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.
Answer:
50+15=65
Step-by-step explanation:
I know because it says total
10 ft
8 ft
I
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [? ] ft?
=
hi po pahelp ito pls pls pls pls pls pls pls
conversion of temperature
buying groceries
checking weight
measuring length
Which graph represents the function f(x) = 1/3|x|?
Answer:
Whichever one looks like this
Step-by-step explanation:
Please do 5 and 6!!!!
Identify h (x) = [x] + 4
A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function
PLEASE HELP ILL MARK BRIANLIEST
The ratio of the side length of square A to the length of Square B is 4:9 The side length of square A is 12 yards. What is the perimeter of Square B
Step-by-step explanation:
side A / side B = 4/9
side A = 12 yards
=>
12 / side B = 4/9
12 = side B × 4/9
9×12 = side B × 4
side B = 9×12/4 = 9×3 = 27 yards
perimeter of B is 4×side B = 4×27 = 108 yards
Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.
Answer:
5/8, 20/32
Step-by-step explanation:
Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8
To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32
Answer:
5/8; 20/32
Step-by-step explanation:
10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term
equivalent fraction 5/8 = ?/32 means 32÷ 8 = 4 × 5 =20
5/8 = 20/32
If using 10/16 = ?/32 means 32 ÷ 16 = 2 × 10 = 20
Again 10/16 = 20/32
Need help pleaseee …
Answer:
2.5
Step-by-step explanation:
By Pythagoras theorem,
Hypotenuse = √( 4^2 + 3^2 )
= √( 16 + 9 )
= √25
Hypotenuse = 5
4 / 2 = 5 / x
2 = 5 / x
x = 5 / 2
x = 2.5
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Thank you!
Answer:
104 ft²
Step-by-step explanation:
The area of the rectangle is represented by the following:
8ft x 10 ft = 80 ft
The area of the triangle is represented by the following:
(6ft x 8ft) divided by 2 = 24
By combining the values, you get 104 square feet.
Write the place value of underlined digit in 8.745
Answer:
thousandths I'm pretty sure
(a + 5)(a – 1) is a^2 +
Answer:
a^2+4a-5
Step-by-step explanation:
This is the expanded form
If the rate of the boat in still water is 20 mph, and the rate of the current is x mph, what is the rate of the boat going upstream
9514 1404 393
Answer:
20 -x
Step-by-step explanation:
Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...
20 -x . . . . miles per hour
What is the answer??? I need help fast pls
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )
If ∠A = 2x + 1 and ∠B = x + 10
Then 2x + 1 must equal x + 10
( note that we've just created an equation that we can use to solve for x )
We now solve for x using the equation we just created
2x + 1 = x + 10
Subtract x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
Jina,tony, and Henry have a total cost of $70 in their wallets. Tony has 2 times what Henry has. Henry has $10 more than Jina. How much do they have in their wallets?
Answer:
Jina has $10,
Tony has $40,
and Henry has $20
Step-by-step explanation:
So if we use a little bit of algebra, let's say
Jina's amount = a.
Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount
(a + 10) by 2, and you get: 2(a + 10).
Here's to make things easier on the eye for you:
Jina's amount = a
Henry's amount = (a + 10)
Tony's amount : 2(a + 10)
Next, form an equation by adding each of the three's amounts together:
Jina's amount + Henry's amount + Tony's amount
= a + (a + 10) + 2(a + 10)
= a + a + 10 + 2a + 20
(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)
4a + 30 = 70
(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)
= 4a = 40
(and now, simplify by dividing by 4)
a = 10
Substitute 10 for a:
Jina: a = $10
Henry = (a + 10) = (10 + 10) = $20
Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40
Add them all up if you want to check if its correct:
$10 + $20 + $40 = 70$ ✔
Sorry if this explanation was a bit long, I hope you understand ^^.
This question in algebraic expression and number form : the difference between 20 and x
Answer: Let the numbers be x and y.
x+y = 20 …(1)
x-y = 10 …(2)
Add (1) and (2)
2x = 30, or x = 15, and so y = 5.
The product of the two numbers = xy = 15*5 = 75.
Step-by-step explanation:
DUE TOMORROW ANSWER USING STEPS: When Tyrese fell asleep one night, the temperature was
24°F. When Tyrese awoke the next morning, the
temperature was -16°F. Letting + denote a rise in
temperature and - denote a drop in temperature, what
was the change in temperature from the time Tyrese
fell asleep until the time he awoke?
Answer:
40°F
Step-by-step explanation:
When Tyrese fell asleep one night, the temperature was 24°F.
When Tyrese awoke the next morning, the
temperature was -16°F.
Letting + denote a rise in
temperature and - denote a drop in temperature, what was the change in temperature from the time Tyrese fell asleep until the time he awoke?
The temperature dropped from a high temperature to a low one : from 24° to -16°
This can be expressed mathematically as 24 - (-16), with - denoting a drop in the temperature
=24-(-16)
=24+16
=40°F
Please mark me brainliest
Answer:
a change of -40°F, i.e., a drop.
Step-by-step explanation:
use the formula
change = end - start
and find -16 - 24 = -40
What’s this answer ? will give ton of points!!!!!!!!!!
Answer:
268 cm^2
Step-by-step explanation:
Pink prism:
top: 2 cm * 2 cm = 4 cm^2
right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2
bottom: completely covered in connection to green prism
Total surface area of pink: 52 cm^2
Green prism:
bottom: 10 cm * 5 cm = 50 cm^2
front, back: 2 * 10 cm * 4 cm = 80 cm^2
right, left: 2 * 5 cm * 4 cm = 40 cm^2
top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2
Total surface area of green: 216 cm^2
Total surface area of composite solid:
52 cm^2 + 216 cm^2 = 268 cm^2
how would I write 6 less than a number
A.6-X
B.6X
C.X-6
D.X/6
Answer:
C) X-6 , In subtracting the first number is greater than the second.
Hope it's help.
use the distributive law to factor.
16m + 6n
Using the distributive law to factor, the expression becomes 16m + 6n = 2(8m + 3n)
GIven three integers A, B and C, according to the distributive property;
A(B+C) = AB + BC
Given the expression 16m + 6n
First, we need to get the factors of both terms
16m = 2 * 8 * m
6n = 2 * 3 * n
From both factors, we can see that 2 is common to both of them. Hence using the distributive law to factor, the expression becomes;
16m + 6n = 2(8m + 3n)
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By which rule are these triangles congruent?
A)
AAS
B)
ASA
C)
SAS
D)
SSS
Answer:
A. AAS
Step-by-step explanation:
In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.
Mike is baking lemon cupcakes and banana cupcakes for his Math class. He conducted a survey to
find the number of students who prefer each type. A total of 10 students preferred lemon cupcakes
and that represents 30% of her class. How many students preferred banana cupcakes?
Answer:23
Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23
Heyyyyyy help meeeeeeee
Answer:
1.25 or 1 1/4
Step-by-step explanation:
1 ounce is 0.0625 pounds
therefore 20 oz = 1.25 or 1 1/4
Please someone help me! I need someone to be quick ASAP!
Answer:
Whats? explication?? khe??
Answer:
Step-by-step explanation:
What is the value of k?
2k+9=7−3k
k=−2
k=−0.4
k = 2
k = 3.2
Answer:
the is k=-0.4
Step-by-step explanation:
sorry if I did it wrong
Answer:
[tex]k = -\frac{2}{5}[/tex]
I can't see the answer choices. Sorry, if I'm wrong.
Fill in the blanks below, pelase.
1.(154)10=(?)2
how to solve it help me!
Answer:
I am sorry i dont know but can you help me plz
A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
Answer:
2 in 16
Step-by-step explanation:
Simplify t^12/t^6
A. 2
B. 6
C. 6
D. 7-2
Answer:
t
12
/t
6
=t
12−6
=t
6
if this helps your welcome