I don't remember how to do this. plz help

Answer:

A

Step-by-step explanation:

Since we are given BC is congruent to DC and angle b and d are 90. We can prove that <C is congruent to itself by reflexive  property of congruence. We can also you use linear pair theorem to prove <CDA is congruent to <CBE. Since they are right angles, we can prove that they are congruent by rt <s thm. Thus, we cna prove they are congruent by ASA. Hope it helps

The probability of picking greens on both occasions will be 5/18.

The probability of picking greens cards will be:

= 5/9 × 4/8

= 5/18

The probability of picking at least one green will be:

= 1 - P(both aren't green)

= 1 - (4/9 × 3/8)

= 1 - 1/6.

= 5/6

From the tree diagram, the probability as a fraction of P(G2 | G1) will be:

= 4/8 = 1/2

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Answer:

1000

Step-by-step explanation:

=> [tex]\frac{1}{10^{-3}}[/tex]

According to the law of exponents, [tex]\frac{1}{a^{-m}} = a^{m}[/tex]

So, it becomes

=> [tex]10^{3}[/tex]

=> 1000

Answer: the answer is d sin30degrees equal 5/x because sin is opposite over hyponuese

Answer:

1 year

Step-by-step explanation:

1. Convert 10% into a z-score, using a calculator or whateva

2. Z = -1.281551 ( you can find this by doing the following equation: (x - mean) / (standard deviation)

3. Hence -1.281551 = (x - 4) / 2 or, x = 1.436898, ( rounded to the nearest year ) = 1 year

Answer:

7

Step-by-step explanation:

2x-3=11

Move the -3 to the right side by adding 3 to both sides of the equation

2x=14

Divide both sides by 2 to get x by itself

x=7

Answer:

  7

Step-by-step explanation:

2x -3 = 11

2x = 14 . . . . add 3

x = 7 . . . . . . divide by 2

The number 7 makes the equation true when substituted for x.

Answer:

A 95% confidence interval for the population mean score for all bowlers in this league is [86.64, 94.48].

Step-by-step explanation:

Since in the question only 9 random scores are given, so I am performing the calculation using 9 random scores.

We are given that the scores of bowlers in particular league follow a normal distribution such that the standard deviation of the population is 6.

The accompanying data set of 9 random scores in ascending order is given as; 75, 86, 86, 88, 89, 93, 93, 98, 107

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                             P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean score = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{815}{9}[/tex] = 90.56

            [tex]\sigma[/tex] = population standard deviation = 6

            n = sample of random scores = 9

            [tex]\mu[/tex] = population mean score for all bowlers

Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] =  [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                                          = [ [tex]90.56-1.96 \times {\frac{6}{\sqrt{9} } }[/tex] , [tex]90.56+1.96 \times {\frac{6}{\sqrt{9} } }[/tex] ]

                                          = [86.64 , 94.48]

Therefore, a 95% confidence interval for the population mean score for all bowlers in this league is [86.64, 94.48].

Answer:

0.3174

Step-by-step explanation:

Z-score:

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 area under the normal curve to the left of Z. Subtracting 1 by the pvalue, we find the area under the normal curve to the right of Z.

Left of z = -1

z = -1 has a pvalue of 0.1587

So the area under the standard normal curve to the left of z = -1 is 0.1587

Right of z = 1

z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

So the area under the standard normal curve to the right of z = 1 is 0.1587

Left of z = -1 or right of z = 1

0.1587 + 0.1587 = 0.3174

The area is 0.3174

Answer:

Its B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Its B on edge

Answer:

after 9 weeks it would become 9*1+10=19 inches

and after w weeks it will be w*1+10 inches tall

hope this helps

Step-by-step explanation:

Answer:

a) 19 inches

b) 10+w inches

Step-by-step explanation:

The equation for this problem is 10 + w.  In the first part, w = 9, so the plant is 19 inches tall.

Answer:

This question is about:

sin(A/2) and cos(A/2)

First, how we know when we need to use the positive or negative signs?

Ok, this part is kinda intuitive:

First, you need to know the negative/positve regions for the sine and cosine function.

Cos(x) is positive between 270 and 90, and negative between 90 and 270.

sin(x) is positive between  0 and 180, and negative between 180 and 360.

Then we need to see at the half-angle and see in which region it lies.

If the half-angle is larger than 360°, then you subtract 360° enough times such that the angle lies in the range between (0° and 360°)

and: Tan(A/2) = Sin(A/2)/Cos(A/2)

So using that you can infer the sign of the Tan(A/2)

Now, why these relationships use the two signs?

Well... this is because of the square root in the construction of the relationships.

This happens because:

(-√x)*(-√x) = (-1)*(-1)*(√x*√x) = (√x*√x)

For any value of x.

so both -√x and √x are possible solutions of these type of equations, but for the periodic nature of the sine and cosine functions, we can only select one of them.

So we should include the two possible signs, and we select the correct one based on the reasoning above.

Answer:

aaaaha pues

Step-by-step explanation:

Answer:

what happened

Step-by-step explanation:

Answer:

z=0

x= -5

y=4

Step-by-step explanation:

Check the attachment please

Hope this helps :)

Step-by-step explanation:

x + 2y − z = 3

x + y − 2z = -1

There are three variables but only two equations, so this system of equations is undefined.  We cannot solve for the variables, but we can eliminate one of them and reduce this to a single equation.

Double the first equation:

2x + 4y − 2z = 6

Subtract the second equation.

(2x + 4y − 2z) − (x + y − 2z) = (6) − (-1)

2x + 4y − 2z − x − y + 2z = 7

x + 3y = 7

Answer:

(-2 ,3)

Step-by-step explanation:

Step 1: Rewrite first equation

x = 4 - 2y

-2x + y = 7

Step 2: Substitution

-2(4 - 2y) + y = 7

Step 3: Solve y

-8 + 4y + y = 7

-8 + 5y = 7

5y = 15

y = 3

Step 3: Plug in y to find x

x + 2(3) = 4

x + 6 = 4

x = -2

Answer:

D. Two-sample chi-square

Step-by-step explanation:

A chi-square test is a test used to compare the data that is observed, from the data that is expected.

In a two-sample chi-square test the observed data should be similar to the expected data if the two data samples are from the same distribution.

The hypotheses of the two-sample chi-square test is given as:

H0: The two samples come from a common distribution.

Ha: The two samples do not come from a common distribution

Therefore, in this case, the best statistical test to utilize is the two-sample chi-square test.

Answer:

y = 2x + 3

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (-1 - 3)/(-2 - 0)

m = -4/-2

m = 2

y = 2x + b

Step 2: Rewrite equation

y = 2x + 3

*You are given y-intercept (0, 3), so simply add it to your equation.

Answer:

Hey!

Your answer is YES!

AKA the Last Option on your screen!

Step-by-step explanation:

It is this because...

They both have the angles 105 in it...

And looking at the other angle on the smaller one (25)

50 + 25 = 75 ... 180 - 75 = 105

WE HAVE 105 as an angle on the larger triangle...which makes them SIMILAR but congruent Angles!

It cant be the "corresponding sides" as we do not have the notations (lines intersecting the sides) that let us know that the lines are the same.

Hope this helps!

Answer:

A. 3

Step-by-step explanation:

[tex] log_{4}(64) = y \\ 64 = {4}^{y}(\because if \: log_a b = x \implies b = a^x) \\ {4}^{3} = {4}^{y} \\3 = y..(equal \: bases \: have \: equal \: exponents ) \\ \huge \purple { \boxed{y = 3}}[/tex]

Answer:

simple really

Step-by-step explanation:

10 gigabytes of data on my computer, x gigabytes are movies and the rest is music.

so it will have to be 10-X= remaining gigabites of music

Answer:

Movies: x gig

pictures: x/2 gig

music:  10 - x - x/2 = 10 - (3/2)x

Answer:

0.62

Step-by-step explanation:

1. We assume, that the number 62 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 62 is 100%, so we can write it down as 62=100%.

4. We know, that x is 1% of the output value, so we can write it down as x=1%.

5. Now we have two simple equations:

1) 62=100%

2) x=1%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

62/x=100%/1%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1% of 62

62/x=100/1

(62/x)*x=(100/1)*x       - we multiply both sides of the equation by x

62=100*x       - we divide both sides of the equation by (100) to get x

62/100=x

0.62=x

x=0.62

now we have:

1% of 62=0.62

Answer:

-2w - 4

Step-by-step explanation:

What is the simplest form of this expression

2(w - 1) + (-2)(2w + 1) =

= 2w - 2 - 4w - 2

= -2w - 4

Answer: -2w-4

Step-by-step explanation:

subtract 4w of 2w

2w-2-4w-2

subtract 2 of -2

-2w-2-2

final answer

-2w-4

Answer:

C

Step-by-step explanation:

102.35-20-33.33-52.80+25+24.75

45.97

Answer:

B. 120 m²

Step-by-step explanation:

To find the surface area of the composite solid, we would need to calculate the area of each solid (square pyramid and square prism), then subtract the areas of the sides that are not included as surface area. The sides not included as surface area is the side the pyramid and the prism is joint together.

Step 1: find the surface area of the pyramid:

Surface area of pyramid with equal base sides = Base Area (B) + ½ × Perimeter (P) × Slant height (l)

Base area = 4² = 16 m

Perimeter = 4(4) = 16 m

Slant height = 3 m

Total surface area of pyramid = 16 + ½ × 16 × 3

= 16 + 8 × 3 = 16 + 24

= 40 m²

Step 2: find the area of the prism

Area = 2(wl + hl + hw)

Area = 2[(4*4) + (5*4) + (5*4)]

Area = 2[16 + 20 + 20]

Area of prism =  2[56] = 112 m²

Step 3: Find the area of the sides not included

Area of the sides not included = 2 × area of the square base where both solids are joint

Area = 2 × (4²)

Area excluded = 2(16) = 32 m²

Step 4: find the surface area of the composite shape

Surface area of the composite shape = (area of pyramid + area of prism) - excluded areas

= (40m²+112m²) - 32m²

= 152 - 32

Surface area of composite solid = 120 m²

Answer:

[tex] P(X \geq 3)= 1- P(X<3)= 1-P(X \leq 2)= 1- [P(X=0) +P(X=1) +P(X=2)][/tex]

And we can find the individual probabilites using the probability mass function and we got:

[tex] P(X=0) = (15C0) (0.08)^{0} (1-0.08)^{15-0}=0.286 [/tex]

[tex] P(X=1) = (15C1) (0.08)^{1} (1-0.08)^{15-1}=0.373 [/tex]

[tex] P(X=2) = (15C2) (0.08)^{2} (1-0.08)^{15-2}=0.227 [/tex]

And replacing we got:

[tex] P(X\geq 3) = 1-[0.286+0.373+0.227 ]= 0.114[/tex]

Step-by-step explanation:

For this case we can assume that the variable of interest is "drivers were involved in a car accident last year" and for this case we can model this variable with this distribution:

[tex] X \sim Bin (n =15, p =0.08)[/tex]

And for this case we want to find this probability;

[tex] P(X \geq 3)[/tex]

and we can use the complement rule and we got:

[tex] P(X \geq 3)= 1- P(X<3)= 1-P(X \leq 2)= 1- [P(X=0) +P(X=1) +P(X=2)][/tex]

And we can find the individual probabilites using the probability mass function and we got:

[tex] P(X=0) = (15C0) (0.08)^{0} (1-0.08)^{15-0}=0.286 [/tex]

[tex] P(X=1) = (15C1) (0.08)^{1} (1-0.08)^{15-1}=0.373 [/tex]

[tex] P(X=2) = (15C2) (0.08)^{2} (1-0.08)^{15-2}=0.227 [/tex]

And replacing we got:

[tex] P(X\geq 3) = 1-[0.286+0.373+0.227 ]= 0.114[/tex]

Answer:

true

Step-by-step explanation:

The test for divisibility by 9 is to add all the digits of the number. If that sum is divisible by 9, then the number is divisible by 9.

Answer:

Addition Property of Equality

Step-by-step explanation:

You are adding 3/4 to both sides to isolate the x.

Answer:

50%

Step-by-step explanation:

Cost of 3 bananas= Rs. 5 ⇒ cost of 1 banana= Rs. 5/3

Selling price of 2 bananas= Rs. 5 ⇒ selling price of 1 banana= Rs. 5/2

Gain= Rs. (5/2- 5/3)= Rs. (15/6- 10/6)= Rs. 5/6

Gain %= 5/6÷5/3 × 100%= 50%

Answer:

Yes

Step-by-step explanation:

The Mean Value Theorem states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that

[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]

Given [tex]f(x)=x^3+x-9$ in [0,2][/tex]

f(x) is defined, continuous and differentiable.

[tex]f(2)=2^3+2-9=1\\f(0)=0^3+0-9=-9[/tex]

[tex]f'(c)=\dfrac{f(2)-f(0)}{2-0}=\dfrac{1-(-9)}{2}=5[/tex]

[tex]f'(x)=3x^2+1[/tex]

Therefore:

[tex]f'(c)=3c^2+1=5\\3c^2=5-1\\3c^2=4\\c^2=\frac{4}{3} \\c=\sqrt{\frac{4}{3}} =1.15 \in [0,2][/tex]

Since c is in the given interval, the function satisfy the hypotheses of the Mean Value Theorem on the given interval.

Answer:

b = -84

c = 285

Step-by-step explanation:

Given that:

[tex]g(x)=6x^2+bx+c[/tex]

Vertex of (7, -9).

To find:

Value of b and c = ?

Solution:

It can be seen that the given equation is of a parabola.

Standard equation of a parabola is given as:

[tex]y =Ax^2+Bx+C[/tex]

x coordinate of vertex is given as:

[tex]h=\dfrac{-B}{2A}[/tex]

Here, A = 6, B = b and C = c, h = 7 and k = -9

[tex]7=\dfrac{-b}{2\times 6}\\\Rightarrow b = -84[/tex]

So, the equation of given parabola becomes:

[tex]y=6x^2-84x+c[/tex]

Now, putting the value of vertex in the equation to find c.

[tex]-9=6\times 7^2-84\times 7+c\\\Rightarrow -9=294-588+c\\\Rightarrow -9=-294+c\\\Rightarrow c = 285[/tex]

So, the answer is :

b = -84

c = 285