Answers
Answer:
The volume is 227.5
Step-by-step explanation:
The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5
Related Questions
The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?
Answers
Answer:
The other number is 5/9.
Step-by-step explanation:
16/3 = 48/5 * x
x = 5/9
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answers
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Amaia purchased two blouses and a skirt for a total of $32. The sales tax rate is 8%. How much total sales tax will Amaia pay on these items?
Answers
Answer:
2.56
Step-by-step explanation:
8% of 32 is 2.56
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answers
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1
Answers
The difference in y-values between the coordinates of two points on a line is called the
Answers
The RISE is the VERTICAL distance between the two points on the graph. ... The slope 'm' of a line passing through points (x₁, y₁) and (x₂, y₂) is the ratio of the difference in the 'y' coordinates to the corresponding difference in the 'x' coordinates.
The difference in y-values between the coordinates of two points on a line is called the Rise.
The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.
The difference in the x-values of two points on a line is called the run.
Slope of line is given by,
[tex]m=\dfrac{rise}{run}[/tex]
Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.
For more details follow the link:
https://brainly.com/question/3605446
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answers
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
graph 3x-2y=6 how do you graph this in algebra
Answers
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
is 4.23x10^-5 greater than 1 or less than 1? explain how you know
Answers
Answer: Less than 1
Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423
which is less than 1.
Answer:
less than 1
Step-by-step explanation:
4.23 * 10^5 is less than 1
Rewrite the expression in the form b^n
Answers
Answer:
b 15/4
Step-by-step explanation:
can someone help me
Answers
Graph this line using the slope and y-intercept:
Y= 1/8X + 4
Click to select points on the graph.
10
9
8
o
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9
10
Submit
Answers
Answer:
98765432123459 that is te answer
Step-by-step explanation:
Graph the linear equation 4x+9y=36 solving for y
Answers
Answer:
y=4-4/9x x=9-9/4y
Step-by-step explanation:
jyEahahhhhh
What is the factored form of x3 + 216?
A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)
Answers
Answer:
now using the formula (a-b) (a2+ab+b2)=a3-b3
=>x3-63
x3-216#answer
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The cubic polynomial is given below.
⇒ x³ + 216
Then the cubic polynomial is written as,
⇒ x³ + 6 × 6 × 6
⇒ x³ + 6³
We know that the formula of a³ + b³ is given as,
a³ + b³ = (a + b)(a² – ab + b²)
Compare the expression, we have a = x and b = 6. Then the expression will be
x³ + 6³ = (x + 6)(x² – 6x + 6²)
x³ + 6³ = (x + 6)(x² – 6x + 36)
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).
Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5
Which point represents the value of –(–2) on the number line? A number line has points A, negative 3, B, blank, 0, blank, C, 3, D. Point A Point B Point C Point D
Answers
Answer:
it is C
Step-by-step explanation:
The point that represents the value of -(-2) is point C.
Option C is the correct answer.
We have,
The value of –(–2) is equivalent to 2.
On the number line, the point that represents the value of –(–2) is Point C, which is located at position 2.
This is because when we negate a negative number, it becomes positive.
Therefore, –(–2) is equal to 2.
Thus,
The point that represents the value of -(-2) is point C.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
1. Write an expression for 8 less than 2
times a number.
Answers
Answer:
8<2x
Step-by-step explanation:
Answer:
8<2x
Step-by-step explanation:
I hope this helped! :D
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
Answers
Plug three into the equation 3(3) + 3 =12
What is the equation of the line that passes through the point (4, -8) and has a
slope of -12
Answers
what is 0.44×(−534) ??
Answers
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
What is the polynomial of least degree with the given zeroes -2 and 4?
Answers
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
A triangle has angles that measure 54.6° and 17.8°. Which equation can be used to find the value of x, the measure of the third angle in the triangle?
Answers
Answer:
58.6 + 17.8 + x = 180
Step-by-step explanation:
hope this helps
Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.
Answers
Answer:
The minimum sample size required is 97.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this confidence interval is:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]
The critical value of z for 95% confidence level is, z = 1.96.
Compute the minimum sample size required as follows:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]
Thus, the minimum sample size required is 97.
Moses is solving the problem below.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
Answers
Answer:
2.21184 or 2.212
Step-by-step explanation:
step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false
Answer:
Step 3
Step-by-step explanation:
I took a quiz and got it right
Please help me I need help?!!!
Answers
Answer:
B
Step-by-step explanation:
True False x-sqrt6 is a factor of x^4-36
Answers
If x + y = 5, then x =
1. 5y
2. 5+y
3. 5 - y
Answers
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answers
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
plz give me brainliest i need it plz
2(5x−2)− 2x -2 =34
Solve for x
Answers
what is the value of y when x = 43
PLS HELP
Answers
Answer: 126
Step-by-step explanation:
Because it seems that 3 × 43 =
2 × 43 = 86 + 43 = 126
Witch variable represents the y intercept
Answers
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables