Answer:
222 cm²
Step-by-step explanation:
Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:
6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².
The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.
Answer:
24.5
Step-by-step explanation:
Suppose the mean income of firms in the industry for a year is 90 million dollars with a standard deviation of 15 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 109 million dollars? Round your answer to four decimal places.
Answer:
0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Distributed normally, mean of 90 million, standard deviation of 15 million.
This means that [tex]\mu = 90, \sigma = 15[/tex]
What is the probability that a randomly selected firm will earn less than 109 million dollars?
This is the pvalue of Z when X = 109. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{109 - 90}{15}[/tex]
[tex]Z = 1.27[/tex]
[tex]Z = 1.27[/tex] has a pvalue of 0.8980
0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars
Umaloja vendeu 2.800 calçado no mês passado, neste mês vendeu10% a mais. Quantos calçados foram ven- didos neste mês
Answer:
3.080 calzados.
Step-by-step explanation:
Dado que Umaloja vendió 2.800 calzados el mes pasado, y este mes vendió un 10% más, para determinar cuantos calzados fueron vendidos este mes se debe realizar el siguiente cálculo:
2800 + ((2.800 x 10) / 100) = X
2.800 + (28.000 / 100) = X
2.800 + 280 = X
3.080 = X
Así, este mes Umaloja vendió 3.080 calzados.
PLEASE PLEASE PLEASE HELP ME!
Answer:
I dont see the question...
Step-by-step explanation:
Which expression shows 50 4 30 written as a product of two factors
10(5 + 3)
6(10 + 7)
6(1043)
10(5 + 2)
Answer:
The answers is 10(5 + 3)
ANSWER THIS PLZZ I WILL GIVE TOP COMMENT :)!!!!!
Answer:
D, -42 multiply 6 on both sides
D. because when it is multiplied, the inequality is no longer true.
Which transformation could NOT be used to prove that two circles are congruent to one another?
Answer: D
Step-by-step explanation:
Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for this sample was 135.2, well above the actual midpoint of the scale. Given that the standard deviation of self-esteem scores was 28.15, what would the z score be for a person whose self-esteem score was 101.6
Answer:
The z-score for a person whose self-esteem score was 101.6 would be of -0.227.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.
This means that [tex]\mu = 108[/tex]
The standard deviation of self-esteem scores was 28.15
This means that [tex]\sigma = 28.15[/tex]
What would the z score be for a person whose self-esteem score was 101.6
This is Z when X = 101.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{101.6 - 108}{28.15}[/tex]
[tex]Z = -0.227[/tex]
The z-score for a person whose self-esteem score was 101.6 would be of -0.227.
PLS HELP AND ANSWER QUICK PLZ
Answer:
X = 90° , Y = 45°, Z = 45°
Step-by-step explanation:
Just answer number 4 I WILL GIVE BRAINLIEST!
Answer:
B is correct
Step-by-step explanation:
A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household
Answer:
0.647 = 64.7% probability that none of them has lost electricity in his/her household
Step-by-step explanation:
For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.
This means that [tex]p = 0.07[/tex]
6 members
This means that [tex]n = 6[/tex]
What is the probability that none of them has lost electricity in his/her household?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647[/tex]
0.647 = 64.7% probability that none of them has lost electricity in his/her household
use the graph below to write the equation of the function
Answer:
c
Step-by-step explanation:
gefhhfeyjhtwgi15287
HELP MARK BRAINLIEST!
Answer:
y = -4/3x - 1
(Urgent) Worth 15 points 7.3
Answer: 20790
Step-by-step explanation:
Noah is going to invest in an account paying an interest rate of 3.7% compounded annually. How much would Noah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,110 in 13 years?
Answer:700
Step-by-step explanation:
PLease help good afternoon
Answer: 75
Step-by-step explanation:
[tex]\frac{a}{15}=\frac{5}{1}[/tex]
a*1= 15*5
a= 75
Please help me solve this I’ll give you all my points
Answer:
170
Step-by-step explanation:
Let c be a positive number. A differential equation of the form dy/dt=ky^1+c where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term My^1.01. If 2 such rabbits breed initially and the warren has 16 rabbits after three months, then when is doomsday?
Answer:
The doomsday is 146 days
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = ky^{1 +c}[/tex]
First, we calculate the solution that satisfies the initial solution
Multiply both sides by
[tex]\frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dy}{y^{1+c}} = k\ dt[/tex]
Take integral of both sides
[tex]\int \frac{dy}{y^{1+c}} = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = k\int\ dt[/tex]
Integrate
[tex]\frac{y^{-1-c+1}}{-1-c+1} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
To find c; let t= 0
[tex]-\frac{y_0^{-c}}{c} = k*0+C[/tex]
[tex]-\frac{y_0^{-c}}{c} = C[/tex]
[tex]C =-\frac{y_0^{-c}}{c}[/tex]
Substitute [tex]C =-\frac{y_0^{-c}}{c}[/tex] in [tex]-\frac{y^{-c}}{c} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}[/tex]
Multiply through by -c
[tex]y^{-c} = -ckt+y_0^{-c}[/tex]
Take exponents of [tex]-c^{-1[/tex]
[tex]y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
i.e.
[tex]y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
Next:
[tex]t= 3[/tex] i.e. 3 months
[tex]y_0 = 2[/tex] --- initial number of breeds
So, we have:
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
-----------------------------------------------------------------------------
We have the growth term to be: [tex]ky^{1.01}[/tex]
This implies that:
[tex]ky^{1.01} = ky^{1+c}[/tex]
By comparison:
[tex]1.01 = 1 + c[/tex]
[tex]c = 1.01 - 1 = 0.01[/tex]
[tex]y(3) = 16[/tex] --- 16 rabbits after 3 months:
-----------------------------------------------------------------------------
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
[tex]16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}[/tex]
[tex]16 = [-0.03 * k + 2^{-0.01}]^{-100}[/tex]
[tex]16 = [-0.03 k + 0.9931]^{-100}[/tex]
Take -1/100th root of both sides
[tex]16^{-1/100} = -0.03k + 0.9931[/tex]
[tex]0.9727 = -0.03k + 0.9931[/tex]
[tex]0.03k= - 0.9727 + 0.9931[/tex]
[tex]0.03k= 0.0204[/tex]
[tex]k= \frac{0.0204}{0.03}[/tex]
[tex]k= 0.68[/tex]
Recall that:
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
This implies that:
[tex]\frac{y_0^{-c}}{c} = kT[/tex]
Make T the subject
[tex]T = \frac{y_0^{-c}}{kc}[/tex]
Substitute: [tex]k= 0.68[/tex], [tex]c = 0.01[/tex] and [tex]y_0 = 2[/tex]
[tex]T = \frac{2^{-0.01}}{0.68 * 0.01}[/tex]
[tex]T = \frac{2^{-0.01}}{0.0068}[/tex]
[tex]T = \frac{0.9931}{0.0068}[/tex]
[tex]T = 146.04[/tex]
The doomsday is 146 days
Fine the surface of one yard.
please help .-.
Answer:
1) 34 square meters
2) 21 square yards
Step-by-step explanation:
1) 7x4=28
1/2x3x2x2=6
28+6= 34 square meters
2)3x3=9
1/2x3x2x4=12
9+12= 21 square yards
there are 144 microscopes in boxes at a school. each box has 24 microscopes which equation could be used to find b, the number of boxes of microscopes at this school
A. 24+144= b
B. 144-b= 24
C. B divided by 24= 144
D. 24 x b= 144
Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at 7.5%. What is the total purchase price that leather would be charged on this purchase? Round your answer to the nearest cent, if necessary.
Answer:
$18.28
Step-by-step explanation:
To get the answer all I did was take 7.5% of 17 which is 1.275
I then rounded 1.275 to 1.28. When you round up the number after the 7 has to be 5 or above. Seeing as the number was 5 we rounded it up to 1.28.
Then I took $17+$1.28= $18.28.
I hope this helps!!!
Simplify the following expression completely, where x 20.
x5xy* + 405x’y* - 180x’y4
O xy2 5x + xy? V405x – xy2/80x
0 6xyV5x
-3xy 5x + xy? J405x
O 6xy ſ5x}
Answer:
Option B is your answer
Step-by-step explanation:
hope it helps
have a great day!!
Answer:
A.) -80X^8 + 40x^7 -5x^6 -3x^2
Its OPTION A
Step-by-step explanation:
The lifetime for a certain brand of widgets is normally distributed. A random sample of 25 widgets is taken and a sample mean lifetime of 520 hours with a standard deviation of 50 hours. Before taking the sample, researchers claimed that the mean lifetime of a widget was more than 500 hours. 1. null hypothesis:
2. the alternative hypothesis:
3. explain what test will be used and why?
Answer:
1. H0: u = 500
2. H1: u <500
3. One sample t test
Step-by-step explanation:
1. The null hypothesis in this question would be
H0: u = 500
2. The alternative hypothesis would be
H1: u < 500
3. The test that we are going to be using is the one sample t test. This test is used to test hypothesis. It would make a comparison of h0 to the mean of the sample. Now we are using this here because the sample standard deviation was given
Ella ran 6 times around her school building. Then she ran 4 miles home.
Her phone told her that she ran 7 miles total.
Select an equation that represents this situation
A. 6+4x=7 B. 6x+4=7 C. 6 (x+4) =7
Determine the value of x.
Answer:
B.6x+4=7
Step-by-step explanation:
x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4
making the equation 6x+4=7
If one pair of supplementary angles is a right angle, the other angle must also be a right angle true or false?
Answer: True
Step-by-step explanation:
A supplementary angle refers to the angles that has a sum of 180° when they're added together.
We should note that a right angle equals to 90°, therefore the other angle in the supplementary angle will be:
= 180° - 90°
= 90°
Since a right angle equals 90°, then the other angle must be a right angle.
Therefore, the answer is TRUE.
please OMG I DONT UNDERSTAND
Answer:
ANSWER
Step-by-step explanation:
Which of the equations below could be the equation of this parabola?
(0,0)
A. y = 5x2
B. x = -5y2
C. y = -5x2
D. x = 5y2
Answer:
Its B. x = -5y2
Step-by-step explanation:
The equation for the parabola is x = -5y² option (B) x = -5y² is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a graph of a parabola.
As we can, in the graph of a parabola:
The equation for the left side opening:
x = -ay²
Here a = 5
x = -5y²
Thus, the equation for the parabola is x = -5y² option (B) x = -5y² is correct.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
The logarithm of a number to the base V2 is k. What is its logarithm to the base 2v2 ?
Answer:
[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]
Step-by-step explanation:
Given
Let the number be X
From the first statement, we have:
[tex]log_{\sqrt 2} X = k[/tex]
Required
Find [tex]log_{2\sqrt 2} X[/tex]
[tex]log_{\sqrt 2} X = k[/tex]
using the following law of logarithm
[tex]log_ab = n, b=a^n[/tex]
So:
[tex]log_{\sqrt 2} X = k[/tex]
[tex]X = \sqrt{2}^k[/tex]
Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]
[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]
[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]
Apply the following law:
[tex]log_ab = \frac{log\ b}{log\ a}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]
Express the square roots as power
[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]
using the following law of logarithm
[tex]log_ab = n, b=a^n[/tex]
[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]
Rewrite as:
[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]
[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]
[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]
[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]
how many miles can u drive in 1 hour
╔═.✵.══════════╗
A N S W E R
╚══════════.✵.═╝
✩ ✩ ✩
It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.
MPH = Miles Per Hour
Hope this helped, love! ✩ ✩ ✩
What is the common denominator of 3 5 and 4 10
Answer:
3 and 5, 15; 4 and 10, 20
Step-by-step explanation:
The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.