There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?

Answer: 18 cm^2

Step-by-step explanation:

There are four equal triangle and a rectangle.

Formula of a rectangle = b * h = 2*3 = 6

Formula of triangle =  [tex]\frac{bh}{2}[/tex] but there four of them so we times them by 4, this leaves us with 2 (b * h) = 2(2*3) = 12

Area of pentagon = area of all triangles + rectangle

Area of pentagon = 12 + 6 = 18

Hope this helps.

Answer:

* Area of Pentagon ⇒ 18 cm^2 *

Step-by-step explanation:

Two of this triangles area are the same provided they are present with similar height and base length. They form a larger triangle such that, for the simplicity, let us start with finding the area of this larger triangle;

Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 6 * 2 ⇒ 6 cm^2

Now there is a similar issue with another two triangles, but they are present to not form a larger triangle. We could imagine that they are next to one another however, and solve for this larger triangle's area;

Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 4 * 3 = 6 cm^2

The last remaining shape is a rectangle, present with dimensions 3 by 2 centimeters such that it's area would be;

Area of Rectangle ⇒ base * height ⇒ 3 * 2 = 6 cm^2

The area of the pentagon is, consecutively;

Area of Pentagon ⇒ 6 + 6 + 6 = 18 cm^2

Answer:

The difference between the heights of the poles is 10m

Step-by-step explanation:

The distance between poles is 24 m

The length of the cable is 26m

You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.

[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]

The difference between the heights of the poles is 10m

The higher pole has height of 50m

Then, the lower pole has a height of 50m - 10m = 40m

Answer:

5000

300

20

8

would be your answer :)

Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}[/tex]

where:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}[/tex]

Learn more about calculating the area of a trapezoid here:

https://brainly.com/question/1410008

#SPJ2

Answer:

21

Step-by-step explanation:

9 = 3*3

10 = 5*2  

5*3 = 15

2*3 = 6

15 + 6 = 21

Answer:

Step-by-step explanation:

if angles are complementary, that means they add up to 90º

if one is 65.3, then the other is just 90 - 65.3

<S = 90º - <R

<S = 90º - 65.3º

<S = 24.7º

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6

Answer:

[tex]D=\sqrt{145 }\\[/tex]

Step-by-step explanation:

We are actually using Pythagorean theorem here but to be simple

we can use the equation:

D(distance)=[tex]\sqrt{(x_{1}- x_{2} )^{2} +( y_{1}-y_{2})^{2}}[/tex]

=

[tex]D=\sqrt{(15-3)^{2}+(6-7)^{2} } =\\D=\sqrt{(12)^{2}+(-1)^{2} } =\\\\D=\sqrt{144+1 } =\\D=\sqrt{145 }\\[/tex]

(If you meant 16 instead of 6 the answer would be 15)

Hope this helps!

Answer:

distance = Sqrt((x2-x1)^2 +(y2-y1)^2)

Step-by-step explanation:

Answer:

It will take for Brian 7.14 years.

Step-by-step explanation:

I=PRT

4,000=8,000*7/100*T

4,000=560T (then you divide 560 from both sides.)

T=7.14

Answer:

y= -1/2 + 1

Step-by-step explanation:

It starts at +1 which is the B in y=mx+b. B is where a point touches the y-axis.

starting at a point: (-2,2), it goes down 1, and right 2. which now the slope is -1/2 because it is going down.

Answer:

e. Two-sample t-test.

Step-by-step explanation:

This is simply because you only have interval level of measure and you are comparing two populations.

Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.

Answer:

16k so it is D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Have a wonderful day hope this helps

Answer:

it is 3D

Step-by-step explanation:

Answer:

Its 3 dimensional

Step-by-step explanation:

I took the test

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397[/tex]

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576[/tex]

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

They score is below 24 on the math portion of the​ exam

Answer:

Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.²

We also have:

Volume of a rectangular prism (V) = base area x height

=> height  = V/base area = 15.75/10.5 = 1.5 in

Hope this helps!

:)

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

Answer:

no

Step-by-step explanation:

plug numbers into equation

2x + y = 6

2*0 + 7 = 6

0+7=6

7=6

False

Answer:

0.7 is not a solution for the equation 2x+y = 6

Step-by-step explanation:

If you calculate it....

2 x 0 + 7 = 6

does not make any sense because

2 x 0 = 0

0 + 7 = 7 not 6

Answer:

x = 15

Step-by-step explanation:

3x - y = 30

Let y = 15

3x - 15 = 30

Add 15 to each side

3x-15+15 = 30+15

3x= 45

Divide each side by 3

3x/3=45/3

x = 15

Answer

Step-by-step explanation:

[tex]3x - y = 30 \\ 3x = 30 + y \\ x = \frac{30 + y}{3} \\ \\ [/tex]

[tex]y = 15[/tex]

[tex]x = \frac{30 + y}{3} \\ x = \frac{30 + 15}{3} \\ x = \frac{45}{3} \\ x = 15[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

The parallel lines create similar triangles, so corresponding sides are proportional.

  AC/AD = AB/AE

  (x -5)/(2x +3) = 15/(15+40)

Cross-multiplying gives ...

  55(x -5) = 15(2x +3)

  55x -275 = 30x +45 . . . . eliminate parentheses

  25x = 320 . . . . . . . . . . . . add 275-30x

  x = 12.8 . . . . . . . . . . . . . . .divide by 25

__

CD = AD -AC = (2x +3) -(x -5) = x +8 = 12.8 +8

CD = 20.8

Answer:

15

Step-by-step explanation:

in multiplication we have given form of expression

Dividend(D) = Quotient(Q) x Divisor(d) + Remainder(r)

The number which is getting divided is called dividend

divisor is the number which divides the dividend.

quotient is the No. of times a dividend is divisible by divisor.

if dividend is not completely divisible by divisor then leftover after quotient * divisor is remainder.

value of remainder should be always less than divisor.

In  the problem given

Dividend is 75

divisor is 5

so by the given above expression

Dividend(D) = Quotient(Q) * Divisor(d) + Remainder(r) ----> 1

we know that 15*5 = 75

75 = 15*5 + 0

comparing with the  expression 1

we have q = 15

r = 0

Thus, quotient is 15.

Answer:

D) 239

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Required sample size:

Is n

n is found when [tex]M = 6[/tex]

We have that [tex]\sigma = 36[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575*\frac{36}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 36*2.575[/tex]

Simplifying by 6

[tex]\sqrt{n} = 6*2.575[/tex]

[tex](\sqrt{n})^{2} = (6*2.575)^{2}[/tex]

[tex]n = 238.7[/tex]

We round up, and the answer is 239.

Answer:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Step-by-step explanation:

Information provided

[tex]X_{1}=146[/tex] represent the number of male in favor

[tex]X_{2}=103[/tex] represent the number of female in favor

[tex]n_{1}=250[/tex] sample of males selected

[tex]n_{2}=203[/tex] sample of females selected

[tex]p_{1}=\frac{146}{250}=0.584[/tex] represent the proportion of males in favor

[tex]p_{2}=\frac{103}{202}=0.510[/tex] represent the proportion of females in favor

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

System of hypothesis

We want to test if the proportion of males in favor is 0.15 point above the proportion of females, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} - p_{2} \geq 0.15[/tex]    

Alternative hypothesis:[tex]p_{1} - p_{2} <0.15[/tex]    

The statistic is given by:

[tex]z=\frac{p_{1}-p_{2} -0.15}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{146+103}{250+202}=0.551[/tex]  

Replacing the info given we got:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Hey Mate

Substitute

8(.25)-1+14

2-1+14

1+14

15

Hope it helps

So the right answer is 15.

Look at the attached picture

Hope it will help you

Answer:

72ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 ×  × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

Answer:

For the first question the answer is B

For the second question the answer is 15

Step-by-step explanation:

In the picture we can see that 45 is equal to 3 z's, which can also be written as 45 = 3z. Now that we know that 45 = 3z, we can divide both sides by 3 so that we know what z equals.

45 (/3) = 3z (/3)

15 = z

Now we can see that z is equal to 15

Answer:

The answer is B

Step-by-step explanation: 45 is =3z because it shows three triangles in the expression and three z variables so when you add all the variable together you get 3z, hence 45=3z. And the value of z is 1 because like all variables unless the expression accounts for the number of variable they all start out to have only one.

Answer:

  $5764.14

Step-by-step explanation:

The future value formula is useful here.

  FV = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

  FV = $5000(1 +.0475/12)^(12·3) = $5764.14

The account will be worth $5764.14 after 3 years.