Answer:
250 boys
Step-by-step explanation:
We know that the ratio is 9:10 from girls to boys
Take 225 and divide it by 9
225 ÷ 9 = 25
So we know that 25 is a factor of 225
We can the number of boys and multiply it by 25 to get 250
If we put it in the ratio form:
225:250 = 9/10
Check work:
25 x 9 = 225
25 x 10 = 250
Girls :Boys = 9:10
Total girls= 225
9=225
10=10/9×225
=250
NB: It will 250 because 9 is going to cancel 225
1. The x-intercept of the equation 5x - 2y = 10 is
Answer:
x =2
Step-by-step explanation:
The x- intercept is when y = 0
Hence, 5x - 2y = 10
5x - 2(0) = 10
5x = 10
Therefore, x = 2
SupposeX1andX2are independent with Γ(α,1) and Γ(α+12,1) distributions. LetY= 2√X1X2.FindEYandvar(Y).
Answer:
E(Y) = √a + √(a+12)
Step-by-step explanation:
X1 and X2 are independent variables while Y is the dependent variable, such that
Y = f(X1, X2)
Meaning Y is a function of X1 and X2
In this case,
Y = 2√X1X2
When (X1, X2) = (a, 1) ; Y = 2√a
When (X1, X2) = (a+12, 1) ; Y = 2√a+12
The expected value of Y is
[2√a + 2√a+12] ÷ 2 = √a + √a+12
**Will mark brainilest, please help!** A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 598 in3, what were the original dimensions (width and length) of the piece of metal?
Answer:
The dimensions of the piece of metal can be represented by x and x+10.
Now, 2 in squares are being cut out of each corner.
So the new dimensions are x-4 (2in from each side) and x+10-4 or x+6.
When you fold it up, the height becomes 2 and the base has dimensions x-4 and x+6. Now plug this into the volume formula.
V=l*w*h
1302 = (x+6)(x-4)(2)
651 = x2+2x-24
0 = x2 + 2x-675
0 = (x+27)(x-25)
x=-27 reject since lengths cannot be negative or x=25.
So your original dimension for the piece of metal are 25 by 35.
Step-by-step explanation:
some please help me
It looks like you want to find the height of the green region. If so then that would be about 5.2 mL since the top part of the green area is around the first smaller tick above the 5.
Each smaller tickmark is 1/5 = 0.2 of a full unit. Note how there are 5 smaller tickmark spaces to make up a full unit (when we go from 5 to 6, there are 5 smaller tickmark spaces we have to move)
Answer: 5.2 mLEvaluate the line integral ∫CF⋅dr, where F(x,y,z)=−xi−2yj−zk and C is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2.
Answer:
[tex]\mathbf { \int _ c Fdr= - \dfrac{9 \pi ^2}{8} - \dfrac{3}{2} }[/tex]
Step-by-step explanation:
GIven that:
[tex]r(t) = (sin \ t, cos \ t, t)[/tex]
[tex]r' (t) = (cos \ t, -sin \ \ t, 1)[/tex]
[tex]F(x, y, z) = ( -x, -2y , - z)[/tex]
[tex]F(r(t)) = ( sin \ t , - 2 cos \ t, - 1 t)[/tex]
[tex]F(r(t)) \times r'(t) = (sin \ t, - 2 \ cos \ t , -1 \ t)( cos \ t , - sin \ t , 1 )[/tex]
[tex]= sin t \ cos t + 2 \ sin t \ cos t - 1t[/tex]
[tex]= 3sint \ cost - 1 t[/tex]
[tex]\int _ c Fdr = \int ^b_a f(r(t)) \times r'(t) \ dt[/tex]
[tex]= \int^{3 \pi/2}_0 \ [3 sin \ t \ cos \ t - 1 \ t ] \ dt[/tex]
[tex]= 3 \int ^{3 \pi/2} _0 \ cos \ t ( sin \ t \ dt ) - 1 \int ^{3 \pi/2}_0 \ (t) \ dt[/tex]
Let cos t = u &
sint dt = du
[tex]= 3 \int ^{3 \pi/2_} } _0 \ udu - 1 \int ^{3 \pi/2}_0 \ (t) \ dt[/tex]
[tex]= 3 [ \dfrac{u^2}{2}]^{3 \pi/2}_0 - 1 [ \dfrac{t^2}{2}]^{3 \pi/2}_0[/tex]
[tex]= \dfrac{3}{2} [ cos ^2 \ t ] ^{3 \pi/2} _0- \dfrac{1}{2} ( \dfrac{ 3 \pi }{2 })^2 - 0^2[/tex]
[tex]= \dfrac{3}{2} [ cos ^2 \ \dfrac{3 \pi}{2} - cos ^2 \ 0 ] - \dfrac{1}{2}( \dfrac{9 \pi^2}{4})[/tex]
[tex]= \dfrac{3}{2} ( 0 -1 ) - \dfrac{9 \pi^2}{8}[/tex]
[tex]= - \dfrac{3}{2} - \dfrac{9 \pi ^2}{8}[/tex]
[tex]\mathbf { \int _ c Fdr= - \dfrac{9 \pi ^2}{8} - \dfrac{3}{2} }[/tex]
To answer this question, we apply:
∫CF×dr = ∫ c F (r(t)) × dr
Solution is:
( 1/2) - (9/8)×π
We know r(t) = sint i + cost j + t k
Then dr = ( cost i - sint j + k ) dt
And F ( x , y , z ) = -x i - 2y j - z k
Then F ( r(t)) = - sint i - 2 × cost j - t × k
And F ( r(t)) × dr = (- sint×cost + 2 ×sint ×cost - t ) dt
∫F (r(t)) × dr = ∫ (- sint×cost + 2 ×sint ×cost - t ) dt
Integration limits 0≤ t ≤ ( 3/2 ) π
∫ (- sint×cost + 2 ×sint ×cost - t ) dt = ∫ ( sint ×cost - t ) dt
∫ sint ×cost × dt - ∫ t × dt
∫F (r(t)) × dr = (1/2) sin²t - ( 1/2) × t² | 0 y (3/2) π
∫F (r(t)) × dr = (1/2)× ( -1)² - 0 - ( 9/8 ) × π - 0
∫F (r(t)) × dr = ( 1/2) - (9/8)×π
Related Link :https://brainly.com/question/3645828
Answer the question below for brainliest
Answer:
(BD/DA) = (CE/EA)
slope is calculated using rise over run, and the ratios represent the rise over the run
Of the 200 graduate students who were interviewed for a par time position at a call center, 110 had a bicycle, 25 had a master card and 130 had a mobile phone. 50 of them had both, a bicycle and a master card, 30 had both, a master card and a mobile phone and 60 had both, a bicycle and mobile phone and 10 had all three. How many candidates had none of the three?
S = Total students
B = number that had bikes
M = number that had a master card
P = number that had a phone
S = 200
B = 110
M = 25
P = 130
BM = 50
MP = 30
BP = 60
BMP = 10
B + M + P = 110 + 25 + 130 = 265
BM + MP + BP - BMP = 50 + 30 + 60 -10 = 130
265 - 130 = 135
Students that had none of the three = 200 - 135 = 65
2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
We conclude that the board's length is equal to 2564.0 millimeters.
Step-by-step explanation:
We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.
Let [tex]\mu[/tex] = population mean length of the board.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2564.0 millimeters {means that the board's length is equal to 2564.0 millimeters}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 2564.0 millimeters {means that the boards are either too long or too short}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean length of boards = 2559.5 millimeters
s = sample standard deviation = 15.0 millimeters
n = sample of boards = 26
So, the test statistics = [tex]\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }[/tex] ~ [tex]t_2_5[/tex]
= -1.529
The value of t-test statistics is -1.529.
Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the board's length is equal to 2564.0 millimeters.
Please Help. Will give brainlleast.
Answer:
(-1, 0), (-1, -5)
Step-by-step explanation:
The initial translation transformation was ...
(x, y) ⇒ (x +4, y)
Then the reflection across the line y=x added the transformation ...
(x, y) ⇒ (y, x)
So, the result of the composition of transformations was ...
(x, y) ⇒ (y, x+4)
Then the reverse transformation, the one that gets from the image back to the pre-image, will be ...
(y, x+4) ⇒ (x, y)
(x, y) ⇒ (y-4, x)
The points A", B", C", D" will be transformed back to pre-image points ...
A"(-4, 5) ⇒ A(1, -4)
B"(-1, 5) ⇒ B(1, -1)
C"(0, 3) ⇒ C(-1, 0) . . . . . . matches an answer choice
D"(-5, 3) ⇒ D(-1, -5) . . . . . matches an answer choice
Find the sum of x^2 + 3x and – 2x^2 +9x + 5.
Answer:
-x² + 12x + 5
Step-by-step explanation:
Step 1: Write out expression
x² + 3x - 2x² + 9x + 5
Step 2: Combine like terms
-x² + 3x + 9x + 5
Step 3: Combine like terms
-x² + 12x + 5
Answer:
-x² + 12x + 5
Step-by-step explanation:
What is the difference between plotting (2, 3) and (3, 2) on a coordinate plane? Explain
Answer:
see below (I hope this makes sense and I hope it helps!)
Step-by-step explanation:
Points are found in the form (x, y) where x represents the x - value which is basically how far you move from the origin on the x-axis, and the same goes for y except it represents how far you move from the origin on the y-axis. A positive x means you move right, a negative x means you move left, a positive y means you move up and a negative y means you move down. Following these rules, to plot (2, 3), you move 2 units right and 3 units up from the origin and to plot (3, 2), you move 3 units right and 2 units up from the origin. The difference between plotting the two points is that first of all, they are different points so they are in different locations and second, their coordinates are "flipped"; what I mean by that is the x-coordinate of the first point is the y-coordinate of the second point and vice versa. Therefore, you move the same amount but in different directions.
These points are similar.
They both lie in quadrant 1.
However, the x coordinate is different in each ordered pair.
So (3, 2) moves farther from the origin than (2 , 3).
However, (2, 3) moved farther up than (3, 2).
Take a look below.
Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What percent of people who write this exam obtain scores between 350 and 650?
Answer:
86.64%
Step-by-step explanation:
We solve for the above question using z score formula
z score formula = z = (x - μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 350, μ = 500, σ = 100
z score = 350 - 500/100
= -150/100
= -1.5
Using the z score for normal distribution
Probability (z = -1.5) = P(x = 350).
= 0.066807
For x = 650, μ = 500, σ = 100
z score = 650 - 500/100
= 150/100
= 1.5
Using the z score for normal distribution
Probability (z = 1.5) = P(x = 650).
= 0.93319
The probability of people who write this exam and obtain scores between 350 and 650
P < 350 < x < 650 = P(x ≤ 650) - P(x ≤ 350)
= P(z = 1.5) - P(z = -1.5)
= 0.93319 - 0.066807
= 0.866383
Therefore, the percent of people who write this exam and obtain scores between 350 and 650 is
0.866383 × 100
= 86.6383%
Approximately ≈ 86.64%
The distance between -7 and 2 on the number line is _____. 5 9 -5 10
Which represents the polynomial below written in standard form?
*? - 3x + 4x3 + 6
6 + x 3x + 4x2
4x2 + x - 30
- 3x + 6
-3x + 4x2 + 6 + x
x + 4x2 – 3x + 6
Answer:
B
Step-by-step explanation:
This is because to write a polynomial in standard form they are arranged from the highest degree to the lowest degree.
[tex] {x}^{3} \: carries \:the \: \: highest \: degree\: which \: is \: 3.[/tex]
pls help im stuck on this
The -2/5 means we go to the left 2/5 of a full unit. So we take 2 small little steps (going over 2 little tickmarks), then we move 4 small steps to the right due to the +4/5 portion. Ultimately, we end up at 2/5 as the answer
So -2/5 + 4/5 = 2/5
This can be thought of as -2+4 = 2, then you just stick 5 in the denominator for each term.
Will GIVE 75 POINTS PLZ HELP!!!
Joey owns a small bakery and today Phoebe has ordered 100 cookies. If Joey boxes the cookies by the dozen, which of the following equations describes how many boxes of cookies Phoebe will have? Let b represent the number of boxes. (HINT: All of the cookie boxes are not necessarily full.)
A. 100 = b/12
B. 12b + 4 = 100
C. 12b = 100 – 4
D. 100/b = 12
E. (100-4)/12=b-1
F. 12 + b = 100
Answer:
A
Step-by-step explanation:
If y = 8 - 5x +4x^2, what is the value of y when x=-2?
Answer: y=34
Step-by-step explanation:
input -2 into the equation and solve for y.
y= 8 - 5(-2) + 4(-2)^2
y = 8 + 10 + 4 * 4
y = 8 + 10 + 16
y= 18 + 16
y = 34
Answer:
34
Step-by-step explanation:
We simply plug in x = -2 into the equation so when x = -2:
y = 8 - 5 * (-2) + 4 * (-2)² = 8 + 10 + 16 = 34.
HELP PLEASE ASAP !!!!
-3h -6(5h/3 + 7/2) +9h = -53
Find the value for h.
Answer: h= 8
Step-by-step explanation:
-3h - 6(5h/3 + 7/2) + 9h = -53 Distribute on the left
-3h - 10h - 21 + 9h = -53 combine like terms on the left side
-4h -21 = -53 Now add 21 to both sides
+21 +21
-4h = -32 Divide both sides by -4
h = 8
A company is criticized because only 16 of 50 in executive-level positions are women. The company argues that the representation of women among their executive ranks could be better but statistically it’s at least as high as the national average of 35%. Do an appropriate hypothesis test to determine if the company’s claim is false at a significance level of 0.1.
Answer:
We can conclude that there is sufficient evidence to state that the companies claim is not false
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.35[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The sample size is n = 50
Generally the sample proportion is mathematically represented as
[tex]\r p = \frac{16}{50 }[/tex]
[tex]\r p = 0.32[/tex]
The null hypothesis is [tex]H_o : p\ge 0.35[/tex]
The alternative hypothesis is [tex]H_a : p< 0.35[/tex]
Generally the standard error is evaluated as
[tex]SE = \sqrt{ \frac{0.35 (1- 0.35 )}{ \sqrt{50 } } }[/tex]
[tex]SE = 0.067[/tex]
So
The test statistics is evaluated as
[tex]t = \frac{\r p - p }{ SE }[/tex]
=> [tex]t = \frac{0.32 - 0.35 }{ 0.067 }[/tex]
=> [tex]t = -0.45[/tex]
The p-value is obtained from the z-table , the values is
[tex]P( Z < -0.45) = 0.32636[/tex]
From the calculation we see that
[tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis
Hence we can conclude that there is sufficient evidence to state that the companies claim is not false
root 2+ root 32+ root 64
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step-by-step.
[tex]root^2 + root^{32} + root^{64}[/tex]
[tex]= o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}[/tex]
Answer : [tex]\boxed{o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The measures of the angles of a triangle are in the ratio 2 : 3 : 4. The simplified ratio of the measures of the exterior angles of the triangle is a : b : c. Find a + b + c.
Answer:
Step-by-step explanation:
2x+3x+4x=180 degrees
9x=180 fdegrees
x=180/9
x=20
2x=40
3x=60
4x=80
Answer:
18
Step-by-step explanation:
The measures of the angles of a triangle are in the ratio 2:3:4 means we have one interior angle measuring 2x, another measuring 3x, and the last one measuring 4x. We know the sum of the measures of the interior angles of a triangle is 180 degrees.
We need to solve the following equation to find first x, and then find the measurement of each interior angle of the triangle.
2x+3x+4x=180
(2+3+4)x=180
(9)x=180
x=180/9
x=20
So one interior angle measures 2x=2(20)=40.
Another measures 3x=3(20)=60.
The last measuring 4x=4(20)=80.
The exterior angles of this triangle therefore measure the following:
180-40=140
180-60=120
180-80=100
So the un-simplified ratio of the measures of the exterior angles is as follows:
140:120:100.
Let's simplify that.
It is easy to see each number is divisible by 10.
Let's reduce it by dividing each by 10:
14:12:10
Let's simplify more (as we want the most simplified ratio).
Each number is divisible by 2 since they are all even.
Let's reduce again but not by dividing by 2:
7:6:5
So the simplified ratio of the measures of the exterior angles of the triangle is a:b:c=7:6:5 and so a+b+c=7+6+5=18.
Answer is 18.
Sarah saw seven sharks while swimming now how many S is in the sentence
Answer:
6 S's in the sentence
Step-by-step explanation:
A researcher is studying the effect of 10 different variables on a critical measure of business performance. A multiple regression analysis including all 10 variables is performed. What criterion could be used to eliminate 1 of the 10 variables
Answer:
Largest p value
Step-by-step explanation:
The p value is basically used to check if an effect is in existence. A high p value shows that the evidence is weak and cannot be used to say an effect exists.
A p value that is greater than 0.05 is considered to be large and it shows weak evidence against H0, the null hypothesis.
Therefore of the 10 variables, we can use the criterion of largest p values to eliminate one of the variables.
Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymond has in his savings account as a function of time (t) in years. R(t)=110(1.025)^t How much more money will Harper have in his savings account than Raymond after two years? A: $2.26 B: $7.83 C: $5.57 D: $3.37
Answer:
A. $2.26
Step-by-step explanation:
An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...
H(t) = 110(1.035)^t
For t = 2, the two balances will be ...
H(2) = 110(1.035^2) = 117.83
R(2) = 110(1.025^2) = 115.57
The difference is ...
$117.83 -115.57 = $2.26
Harper's account will have $2.26 more.
_____
As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.
Please help ASAP. Worth 50 points
Answer:
the anser is 9.5+1.5n and the second ansr is 48x+16
Answer:
a
Step-by-step explanation:
please help me i will mark brainliest!!
Answer:
9√3
Step-by-step explanation:
simpilify the expression by multiplying exponents
= 3 1/9
using a m/n = n√a^m, transform to 9√3
Answer:
Option B
Step-by-step explanation:
(3^2/3)^1/6
=> Multiply the powers
=> 3^2/18
=> 3^1/9
In the above answer, 9 is the root. 1 is the power of 3
=> 9th root of 3.
So, the answer is B
a recreation park measurers 560m long and 700m wide. A 250m and 150m area of the park is used for soccer and baseball filed .How much of the area remains.
Answer: 354500m²
Step-by-step explanation:
Area of the recreation park = 560m x 700m
= 392000m²
Area used for soccer and baseball = 250m x 150m
= ¹⁵⁰⁰⁰⁰/₄
= 37500m².
Area of the remaining park = 392000 - 37500
= 354500m²
Two pence coins are used to make a square. If one millioncoins were used, what would be the length of the sides of the square?
How many square metres would these one million coins cover?
(The diameter of a 2p coin is 25mm to the nearest millimetre.
Answer:
i dont know the answer
Step-by-step explanation:
just put a random answer and hope for the best
Simplify 8h + 9h -2h + 7 + 9 when h=4
Answer:
60h +16 is the answer. If you wanna simpifiy it and the rule still applies then 60 times 4 =240 plus 16 which is 256. 256 is the Simplest anwser.
Step-by-step explanation:
23×99×90+54+23-12321
answer please
Answer:
[tex]192686[/tex]
Step-by-step explanation:
23×99×90+54+23-12321
=2277×90+54+23-12321
=204930+54+23-12321
=204984+23-12321
=205007-12321
=192686
Answer:
192686 is answer.
Step-by-step explanation:
= 23*99*90+54+23-12321
= 204930 +77-12321
= 205007 -12321
= 192686.