Answer:
It would be 3.5
Step-by-step explanation:
1+1+2+6+4+3+2
so the mean is 3.5
1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than . Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. (what do I type out or draw out)
Answer:
So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
What is the volume of the following rectangular prism? 4 units 2 1/8 units
the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.
[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]
Answer: 8 1/2
Step-by-step explanation: Khan
tony's friends ate 0.6 of the appetizers he made which point on the number line best represents 0.6?
Answer:whichever # is closest to 0.6 round up to 1 or 60%
Step-by-step explanation:
Answer:
round your answer to 0.6
Step-by-step explanation:
for example 0.58 rounds up to 0.6
ANSWER ASAP!!! 25 POINTS!!!
In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
Make sure your posts are grammatically and mechanically correct.
Address all parts of the prompt.
Provide at least one example to support your response. (Example choices include an anecdote, statistic, and/or textual evidence.)
Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
What is the third angle of a right triangle if one of the angles measures 51.1 degrees
Answer:
38.9°
Step-by-step explanation:
The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.
90° + 51.1° + x = 180°
141.1 + x = 180°
subtract 141.1°
x = 38.9°
Light bulbs manufactured at a certain factory have a 3% probability of being defective. what is the probability that 5 out of a shipment of 30 will be defective? a. 0.25 b. 0.0016 c. 0.0035 d. 0.167
A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).
Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,
P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾
P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵
P(x=5) = 0.001617
Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.
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slove this math problem
Answer:
That's all
Step-by-step explanation:
1-We find 5% of 200
2-Cross multiply
3-add 5% of 200 to the original price
Work out the length of x
(The diagram is not drawn accurately)
Answer:
x = 7
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 24² = 25²
x² + 576 = 625 ( subtract 576 from both sides )
x² = 49 ( take square root of both sides )
x = [tex]\sqrt{49}[/tex] = 7
Hey ! there
Answer:
Length of x is 7 cmStep-by-step explanation:
In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .
For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,
[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H refers to HypotenuseP refers to PerpendicularB refers to BaseSOLUTION : -
Here in the triangle ,
Hypotenuse is 25 cmBase is 24 cmPerpendicular is xApplying Pythagorean Theorem :
[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]
On squaring 24 and 24 we get ,
[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]
Subtracting 576 on both sides :
[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]
We get ,
[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]
Applying square root on both sides :
[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]
Henceforth , length of x is ❝ 7 cm ❞ .Verifying : -
We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,
( 25 )² = ( 7 )² + ( 24 )²625 = 49 + 576625 = 625L.H.S = R.H.SHence , Verified .Therefore, our answer is correct .
#Keep LearningFind the Lowest Common Multiple of a and b.
Answer:
181104
Step-by-step explanation:
2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104
Answer:
181104
Step-by-step explanation:
2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104
I NEED HELP WITH THIS QUESTION PLEASE
Step-by-step explanation:
it says f(-4).
so, x = -4.
into what function segment is this "falling" ?
well, into the x < 3 segment, right ? because -4 < 3.
so, we need to use
f(x) = x² - 5
f(-4) = (-4)² - 5 = 16 - 5 = 11
Please help 30 mins left
Using the dotplot and the difference in mean distances
from the samples, is there convincing evidence that
the new golf ball travels farther than the original golf
ball?
A company that manufactures golf balls produces a
new type of ball that is supposed to travel significantly
farther than the company's previous golf ball. To
determine this, 40 new-style golf balls and 40 original-
style golf balls are randomly selected from the
company's production line on a specific day. A golf pro
randomly selects a ball, not knowing which type is
chosen, and hits it. The difference in mean distances
traveled (new - original) for the samples was 4.9 feet
Assuming there is no difference in distance traveled
between the two types of golf balls, 200 simulated
differences in sample means are displayed in the
dotplot
Simulated Differences in
Mean Distances of Golf Balls
Yes, because a difference in mean distances of 4.9
feet or more occurred only 6 out of 200 times
meaning the difference is statistically significant and
there is convincing evidence the new golf ball
travels farther than the original golf ball.
Yes, because a difference in mean distances of 4.9
feet or less occurred 194 out of 200 times, meaning
the difference is statistically significant and there is
convincing evidence the new golf ball travels farther
than the original golf ball.
O No, because a difference in mean distances of 4.9
feet or more occurred 6 out of 200 times meaning
|
Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.
Step-by-step explanation: took the test (look at the graph as well)
All of the members of the harvey family are very
tall. their heights are 84 inches, 84 inches, 77
inches, 63 inches, 70 inches, 70 inches and 'x'
inches. if the mean height of the family members
is 75 inches, about how tall is person 'x' ?
77 inches
84 inches
70 inches
63 inches
Answer:
77 "
Step-by-step explanation:
'mean' is the average of all of the heights
( 84 + 84 + 77 + 63 + 70 + 70 + x) / 7 = 75
x = 77
Hi I need help with this one
Answer:
1. ?
2. d
3. g
4. f
5. k
6. ?
7. j
8. l
9. h
10. b
11. ?
12.?
13. Solve the system of equation using substitution.
5x – 2y = 33
y = 7x – 39
Answer:
The correct answer is x=5
Help me with theses problems
Answer:
1: 22cm 2: 30m 3: 78.54
Step-by-step explanation:
1: (6x2)+(5x2)
12+10
22
2: 11+4=15
15x2
30
3: 25/2=12.5
3.14x2=6.28
12.5x6.28=78.54
Find the surface area of a square pyramid with side length 3 km and slant height 3
Answer:
27 km²
Step-by-step explanation:
Surface Area :
Area (4 triangles) + Area (square)4 x 1/2 x 3 x 3 + 3 x 318 + 927 km²Answer:
Total surface area = 27 km²
Step-by-step explanation:
The surface area of a square based pyramid comprises:
4 congruent triangles (sides)1 square (base)Area of a triangle = 1/2 × base × height
= 1/2 × 3 × 3
= 4.5 km²
Area of a square = (side length)²
= 3²
= 9 km²
Total surface area = 4 triangles + square base
= (4 × 4.5) + 9
= 18 + 9
= 27 km²
If x > 3, Which of these numbers could be a possible number for x?
A. 3
B. -22
C. 0
D. 4
(will mark brainliest)
Answer:
D. 4
Step-by-step explanation:
x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.
Answer:
D
Step-by-step explanation:
the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3
Find the indicated missing angle measure. Solve for the value of 0. Round to the nearest whole degree.
Answer:
67 degrees
Step-by-step explanation:
Calculator!
1 is greater than w, and -5 is less than w.
Use w only once in your inequality.
Answer: As an inequality —> -5 < w < 1
A Ferris wheel is designed in a way that the height h(t), in feet, of the seat above the
ground at time in seconds, t, is modeled by the function: h(1) - 60 - 55 sin
10
How
long does the ride take to complete one revolution?
Answer:
hot potato
Step-by-step explanation:
(a) state the value of cos(30°)
(b) state the value of sin(30°)
A company that manufactures playing cards ensures the cards can be stacked in a deck and
placed in a box to be sold. Which units are most appropriate for measuring the thickness of a
playing card?
Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any code from 0 through 9 and she could use each digit as many times as she wants she knows wants to start the code with a prime number. how many possible codes that start with the prime number could Genvieve create?
A.40,000
B.50,000
C.400,000
D.500,000
Answer:
40,000
Step-by-step explanation:
I took the test
There are 40,000 possible codes that start with the prime number could Genvieve create.
For the first digit, Genevieve wants to start with a prime number.
The prime numbers between 0 and 9 are 2, 3, 5, and 7.
So, there are 4 choices for the first digit.
For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.
Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.
To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):
4 × 10⁴ = 40,000
Therefore, the correct answer is A) 40,000.
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a bag contains only red and green counters. in total bag contains 48 counters, of which 20 are red. write, as a ratio, the number of red counters to the number of green counters. give your answering its simplest form.
Total number of Counters = 48
Red Counters = 20
green counters = 48 - 20
⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .
Ratio of Red counters to that the number of green counters = 20 : 28
= 20/28
[tex] = \huge \frac{20}{28} [/tex]
The ratio of the number of red counters to the number of green counters will be 5/7.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.
The number of green counters is calculated as,
⇒ 48 - 20
⇒ 28
The ratio of the number of red counters to the number of green counters is calculated as,
Ratio = 20 / 28
Ratio = 5/7
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Sarai has to read 120 pages over the next 6 days and wants to read the same number of pages each day. Which inequality will help her know at least how many pages to read each day
Answer:
1st one 6x is greater than or equal to 120
Step-by-step explanation:
because it sys she needs to read 120 so it cant be 6x is less than or equal to 120
Select the expression that simplifies to 1 / x^1/8
Answer:
[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}[/tex]
Step-by-step explanation:
[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}[/tex]
I need help with this question !!
Answer:
K^1= (-8,10)
L^1 = (-4,10)
m^1 =(-5,10)
Step-by-step explanation:
all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.
Une échelle est posée contre un mur et une caisse cubique de 1m de côté La distance entre le bas de l'échelle et la caisse est de 1.40 M calculer si possible la distance entre le haut de l'échelle et le sol
A survey asked a sample of vacationers how far they drove to get to their destination. What is the margin of
error if the interval estimate is (200 miles, 250 miles)?
What is the length of the interval?
The margin of error for the interval (200 miles, 250 miles) is 25 miles.
What is an equation?An equation is an expression that shows the relationship between two or more variables and number.
The confidence interval = mean (m) ± margin of error (e) = m ± e
Hence:
m + e = 250 (1)
m - e = 200 (2)
From the both equations:
m = 225, e = 25
The margin of error for the interval (200 miles, 250 miles) is 25 miles.
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Which expressions are equivalent to 25x4 −64? select three options. 25x4 40x − 40x − 64 25x4 13x − 13x − 64 (5x2 8)(5x2 − 8) (x2 13)(x2 – 13) (5x2 – 8)2
The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]
Difference of two squareThe standard expression for difference of two square is given as:
a^2- b^2 = (a-b)(a+b)
Given the equation
[tex]25x^4 -64[/tex]
This can also be expressed as:
[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]
This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]
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