Answer:
[tex]SD = 8.4932[/tex]
Step-by-step explanation:
Given
[tex]Sample\ Size (n) = 289[/tex]
[tex]proportion, p= 52\%[/tex]
Required
Determine the standard deviation (SD)
The standard deviation of a binomial distribution is calculated as thus:
[tex]SD = \sqrt{np(1-p)}[/tex]
Substitute values for n and p
[tex]SD = \sqrt{289 * 52\% * (1-52\%)}[/tex]
Convert to decimals
[tex]SD = \sqrt{289 * 0.52 * (1-0.52)}[/tex]
[tex]SD = \sqrt{289 * 0.52 * 0.48}[/tex]
[tex]SD = \sqrt{72.1344}[/tex]
[tex]SD = 8.49319727782[/tex]
[tex]SD = 8.4932[/tex] --- approximated
Hence, the calculated standard deviation is approximately 8.4932
Order the following numbers from least to greatest.
Put the lowest number on the left.
-25
59
33
-62
Answer:
-62 -25 33 59
Step-by-step explanation:
although 62 is a big number the negative sign yes before it so if further away from any whole number so that why it's before -25 and the rest that follows after
Lana bought party favors at the store for the school's 6thgrade graduation party. Lana bought 7 bags of party hats with 12 hats in each bag. Lana also bought 4 bags of horns with 24 horns in each bag. How many more horns than party hats did Lana buy?
Answer:
12
Step-by-step explanation:
7*12=84
24*4=96
96-84=12
Pooja, who has p number of pets, has twice as many pets as Morgan. Which expression correctly shows how many pets Morgan has?
A) 2 + p
B) 2 x p
C) p - 2
D) p ÷ 2
E) none of the above
Answer:
2xP
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
pooja needs to be represented by p none of these are correct because the equation would be p=M×2
dont answer.m.........
Answer:
why not. I JUST GOT 41 POINTSSSSS
Step-by-step explanation:
Answer:
crusty
Step-by-step explanation:
Hellllppppppppp pleaseeeeeeee
Answer:
F. [tex]x=\frac{5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
[tex]x^2 - 5x + \frac{25}{4} = 0[/tex]
Step 2: Identify Variables
[tex]a = 1\\b = -5\\c = \frac{25}{4}[/tex]
Step 3: Find roots
Substitute [QF]: [tex]x=\frac{5\pm\sqrt{(-5)^2-4(1)(\frac{25}{4} )} }{2(1)}[/tex]Exponent: [tex]x=\frac{5\pm\sqrt{25-4(1)(\frac{25}{4} )} }{2(1)}[/tex]Multiply: [tex]x=\frac{5\pm\sqrt{25-25} }{2}[/tex]Subtract: [tex]x=\frac{5\pm\sqrt{0} }{2}[/tex]Evaluate: [tex]x=\frac{5}{2}[/tex]Need answer quick and simple explanation
Answer:
A
Step-by-step explanation:
Given
(x + 2)³
= (x + 2)(x + 2)(x + 2) ← expand second/third factor using FOIL
= (x + 2)(x² + 4x + 4) ← distribute
= x(x² + 4x + 4) + 2(x² + 4x + 4) ← distribute both parenthesis
= x³ + 4x² + 4x + 2x² + 8x + 8 ← collect like terms
= x³ + 6x² + 12x + 8 → A
the vertices of triangle ABC are A(-2, 2), B(4, 4), and C(1, -2). Find the coordinates of the orthocenter of triangle ABC.
Answer:
(1; 4/3)
Step-by-step explanation:
for coordinate 'x':
(-2+4+1)/3=1
for coordinate 'y':
(2+4-2)/3=4/3
Find the slope of the line that passes through the points
A(10, 3) und B(-3, 15).
Help!!!!!!! Can’t decide whether it’s A or B
Answer:
i think it's a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which one is it? Please help me!!!!
Answer:
c
Step-by-step explanation:
Find 3 consecutive numbers who sum is 216
Answer:
the three consecutive numbers be 71, 72 and 73 respectively
Step-by-step explanation:
The computation of the 3 consecutive numbers is shown below:
Let us assume the three consecutive numbers be x , x+1 and x + 2
Now their sum is
x + x + 1 + x+ 2 = 216
3x + 3 = 216
3x = 216 -3
3 = 213
x = 71
x + 1 = 71 + 1 = 72
x + 2 = 71 + 2 = 73
Hence, the three consecutive numbers be 71, 72 and 73 respectively
Analyze the graph Which inequality represents the
graph?
4
O y> -
2
Oy<- 1x + 4
3
x
Oy> -3x + 4
Oy<-3x + 4
-4
-2
2.
4
-2
-4
Answer:D:y<-3x+4
Step-by-step explanation:good luck
By analyzing the graph, we can see that the inequality is:
y < -3x + 4
Which linear inequality is graphed?We can see a dashed line, and the shaded region is below the line, so the inequality will be something like:
y < line
We also can see that the line passes through (0, 4) and (1, 1), so we already know that the y-intercept is 4, and the slope will be:
a = (1 - 4)/(1 - 0) = -3
So the line is:
y = -3x + 4
Then the inequality is:
y < -3x + 4
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
PLS HELP QUESTION 8 ANSWER CHOICES ARE ON THE PICTURE :(((g
Answer:
11.125 meters i think it helps
Step-by-step explanation:
A scuba diver has a rope connecting the dive boat to an anchor on the ocean floor. The rope is 13ft long. The water is 5ft deep. How far is the anchor from a point directly below the boat?
Answer:
The anchor is 12 feet far from the point directly below the boat.
Step-by-step explanation:
Given that:
Length of rope connecting the dive boat to an anchor = 13 feet
Depth of water = 5 feet
Here,
The rope connecting the dive boat to the anchor will serve as hypotenuse of a right angle triangle, depth of water will be the height of triangle and distance from anchor to point directly below the boat will be base of triangle.
Using Pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
a = 5 , c = 13
[tex](5)^2+b^2=(13)^2\\25+b^2=169\\b^2=169-25\\b^2=144[/tex]
Taking square root on both sides
[tex]\sqrt{b^2} =\sqrt{144}\\b=12[/tex]
Hence,
The anchor is 12 feet far from the point directly below the boat.
What is the value of the expression -x + 3y, if x = 5 and y = -4?
Answer:
-17
Step-by-step explanation:
please solve this GIVING BRAINLIEST and pls show proof!
Answer:
b
Step-by-step explanation:
to prove if NP is tangent to MN
we could prove if NPM is a right triangle
By pythagorean theorem
a^2+b^2=c^2
where a=MN=33
b=NP=180
c=MP=MQ+QP=152+33=185
so
33^2+180^2=185^2
but
1089+32400 is not equal to 34225
33489 is different from 34225
Is 721 ft above sea level
Answer:
Yes
Step-by-step explanation:
Because f all of the Earth's ice sheets and glaciers were to melt, sea level could be up to 265 feet (80 meters) above current mean sea level.
Fill in the blanks to explain Meera's plan.
Answer:
is there a pic or sum
Step-by-step explanation:
Can someone plz help me??? I will mark brainliest!!!
a polygon on a coordinate grid was transformed using rule (x,y) (x-4,y-3) . which of these describes the transformation
Answer:
A. A translation 4 units to the left and 3 units down.
Step-by-step explanation:
The new coordinate of the triangle will be (-3, -1), (-2, 0), and (-1, -2).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
A polygon on a coordinate grid was transformed using the rule given below.
(x, y) ⇒ (x - 4, y - 3)
The new coordinate of the coordinate (1, 2) will be
(x, y) ⇒ (1 - 4, 2 - 3)
(x, y) ⇒ (-3, -1)
The new coordinate of the coordinate (2, 3) will be
(x, y) ⇒ (2 - 4, 3 - 3)
(x, y) ⇒ (-2, 0)
The new coordinate of the coordinate (3, 1) will be
(x, y) ⇒ (3 - 4, 1 - 3)
(x, y) ⇒ (-1, -2)
The new coordinate of the triangle will be (-3, -1), (-2, 0), and (-1, -2).
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
The missing diagram is attached below.
You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please
Answer:
i believe it would be 3560$
Step-by-step explanation:
I think it would be because all i did is take the 5% increase and that 1\20th of 100% so 20X 178 is 3560 i dont know if that makes sense but it does to me
Va rog sa ma ajutati cat mai repede!
Answer: English please
Step-by-step explanation:
what is left if you deduct 1/7 from 3/4
Answer:
17/28
Step-by-step explanation:
deduct 1/7 from 3/4
i.e.,
3/4 - 1/7
3 × 7 - 1 × 4/7 × 4
21 - 4/28 = 17/28
Thus, if you deduct 1/7 from 3/4 then 17/28 is left
-TheUnknownScientist
What is the probability that the first student chosen will be a girl and the second will be a boy A small class has 10 students 4 of whom are girls and 6 of whom are boys.the teacher is going to choose two of the students at random
the answer is (-8,-5)
step-by-step explanation:
the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)
Answer:
1/5
Step-by-step explanation:
The number of free songs downloads is determined using a ratio, when you purchase 40 songs, you get 24
Answer:
5:3 (simplified)
Step-by-step explanation:
This is a ratio that explains how many free downloads you get when purchasing 40 songs. For every 40 songs you buy, you get 24 songs. Simplify that, and you get 3 free downloads per 5 songs you purchase (5:3).
On an eight question true-false quiz, a student guesses each answer. What is the probability that he/she gets at least one of the answers correct?
Answer:
[tex]P[at\ least\ 1] = 0.9961[/tex]
Step-by-step explanation:
Given
[tex]Questions = 8[/tex]
[tex]Quiz\ Type = True\ or\ False[/tex]
Required
Probability that s/he gets at least one correctly
First, we calculate the probability of answering a question correctly
Since, there are just 2 choices (true or false), the probability is:
[tex]P(correct) = \frac{1}{2}[/tex]
Similarly, the probability of answering a question, wrongly is:
[tex]P(wrong) = \frac{1}{2}[/tex]
The following relationship exists, in probability:
[tex]P[at\ least\ 1] = 1 - P[none][/tex]
So, to calculate the required probability.
First, we calculate the probability that he answers none of the 8 questions correctly.
[tex]P[none] = p(wrong)^8[/tex]
[tex]P[none] = (\frac{1}{2})^8[/tex]
Substitute [tex]P[none] = (\frac{1}{2})^8[/tex] in [tex]P[at\ least\ 1] = 1 - P[none][/tex]
[tex]P[at\ least\ 1] = 1 - (\frac{1}{2})^8[/tex]
[tex]P[at\ least\ 1] = 1 - \frac{1}{256}[/tex]
Take LCM
[tex]P[at\ least\ 1] = \frac{256 - 1}{256}[/tex]
[tex]P[at\ least\ 1] = \frac{255}{256}[/tex]
[tex]P[at\ least\ 1] = 0.9961[/tex]
Hence, the probability that s/he gets at least one correctly is 0.9961
le Gianna just started a running plan where she runs 20 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 17 weeks, how many total miles would Gianna have run, to the nearest whole number?
Answer:
Gianna ran 40 miles over the course of 17 weeks.
Step-by-step explanation:
20 miles in the first week.
5% increase each week.
17 weeks.
5% * 20 = 11 mile increase each week.
17 * 1 = 1717 mile increase over the course of 17 weeks.
20 + 17 = 3737 miles over the course of 17 weeks.
Round 37 to the nearest whole number.
37 ^ 40The number of total miles that would Gianna have run, to the nearest whole number should be considered as the 40.
Calculation of the number of miles:
Since
20 miles in the first week.
5% increase each week.
And, then there is 17 weeks
So, if 5% of 20 = 1
So here the total miles be like
= 20 + 17
= 37
= 40
hence, The number of total miles that would Gianna have run, to the nearest whole number should be considered as the 40.
Learn more about number here: https://brainly.com/question/1804622
Write the equation of the line that passes through the given point and is parallel to the given line.
Keep all fractions in improper form
(Note: this answer is assuming that the equation has to be put in slope-intercept format.)
Answer:
[tex]y = \frac{1}{2} x - \frac{5}{2}[/tex]
Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line, [tex]y = \frac{1}{2}x - 8[/tex]. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be [tex]\frac{1}{2}[/tex].
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:
[tex](y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}[/tex]
Therefore, [tex]y = \frac{1}{2}x - \frac{5}{2}[/tex] is our answer. If you have any questions, please do not hesitate to ask!
anyone wanna help ....
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -6)
Point (8, -10)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(-10+6)^2}[/tex]Add: [tex]d = \sqrt{(12)^2+(-4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]CAN SOMEONE PLEASEEEEE HELP MEE
First we solve the inequality.
[tex] - 2(2x + 3) \leqslant 26 \\ - 4x - 6 \leqslant 26 \\ -4x \leqslant 26 + 6\\ - 4x \leqslant 32 \\x \geqslant - \frac{32}{4} \\ x \geqslant - 8[/tex]
Therefore the answer is the second or B.
