Please help! Which statement is true, about the following of the two triangles? (Refer to image)

A: ΔADC≅Δ ACB, by the SSS congruence postulate.
B: ΔADC≅ΔACB, by the SAS congruence postulate.
C: ΔADC≅ ΔCBA, by the SSS congruence postulate.
D: ΔADC≅ΔCBA, by the SAS congruence postulate.

Answer:

  20%

Step-by-step explanation:

The increase is ...

  $90 -75 = $15

As a percentage of the original price, that is ...

  $15/$75 × 100% = 0.20×100% = 20%

The increase was 20%.

Answer:

The vertex is at (-8,-3)

Step-by-step explanation:

The function is of the form

y = a|x-h| + k  where (h,k) is the vertex

f(x) = |x+ 8|– 3

f(x) = |x - - 8|– 3

The vertex is (-8,-3)

Answer:

Option D is the correct answer.

Step-by-step explanation:

Coefficients od dividend = (4, - 17, - 15)

Dividend [tex]=4x^2 - 17x - 15[/tex]

Divisor x = 5 =>x-5= 0

Coefficients of Quotient = (4, 3)

Quotient [tex]=4x + 3[/tex]

Remainder = 0

Since,

[tex] Dividend = Divisor \times quotient + Remainder\\

\therefore 4x^2 - 17x - 15 = (x - 5)\times (4x + 3) +0 \\

\therefore 4x^2 - 17x - 15 = (x - 5)\times (4x + 3) \\

\therefore( 4x^2 - 17x - 15) \div (x - 5) = (4x + 3)

[/tex]

Answer:

q < 11

Step-by-step explanation:

Distribute the -3

23 - q > 12

Add q and subtract 12

q < 11

Step-by-step explanation:

the answer is

q<11

23-q>12

Answer:

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 152, \sigma = 14.5[/tex]

The z-score when x=187 is ...

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{187 - 152}{14.5}[/tex]

[tex]Z = 2.41[/tex]

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

t(x)=-5x+3

t(-1)=-5*(-1)+3=5+3=8

s(x)=3x-4

s(t(-1))=s(8)=3*8-4=24-4=20

answer is 20

Answer:

DIDNT UNDERSTAND THE QUESTION PROPERLY BRO..

KEEP THE QUESTION AGAIN

Answer:

84days

Step-by-step explanation:

1 week = 7days =>12 weeks = 12×7 = 84days

Answer:

84 days are in 12 weeks

Step-by-step explanation:

1 week = 7 days

4 weeks = 28 days

So 28 + 28 + 28 = 84 days

Answer:

$3.50

Step-by-step explanation:

$2 + (3 x $0.50) = x

$2 + $1.50 = x

x = $3.50

Answer:$3:50

Step-by-step explanation: 2+0.50+0.50=3+0.50=$3.50

Answer:

Step-by-step explanation:

1) If all angles of a quadrilateral are right angles, then the quadrilateral must be a square. This is not true because the quadrilateral can also be a rectangle.

2) Two shapes are similar if and only if their corresponding angles are equal. This is true.

3) All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180º. This is false because the sum of the angles is 360°

4) if the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus. This is true.

5) There are three vertices in a triangle, or there are four sides in a pentagon. This is false because a Pentagon has 5 sides.

6) Any two triangles are either similar or congruent. This is not true. Congruent triangles are always similar

Therefore, the true statements are 2 and 4

Answer:

its B and D

Step-by-step explanation:

Answer:

its b I belive

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

In order to find (f-g)(x), you have to subtract g(x) from f(x) :

[tex]f(x) = {3}^{x} + 10[/tex]

[tex]g(x) = 2x - 4[/tex]

[tex](f - g)(x) = {3}^{x} + 10 - 2x - ( - 4)[/tex]

[tex](f - g)(x) = {3}^{x} + 10 - 2x + 4[/tex]

[tex](f - g)(x) = {3}^{x} - 2x + 14[/tex]

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.62\\\\H_a:\pi<0.62[/tex]

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.369)=0.0855[/tex]

As the P-value (0.0855) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Answer: y= -2/3 + 8/3

Step-by-step explanation:

-2/3  is the slope so you just need the y-intercept to write the equation in general form or slope intercept form

4= -2/3(-2) +b

4 = 4/3  + b

-4/3   -4/3

b=  8/3

general form is   y= -2/3 + 8/3

Answer:

  $3.75

Step-by-step explanation:

I = Prt

I = $500·0.03·(3/12) = $3.75

The early-withdrawal fee is $3.75 for the first quarter.

_____

Each quarter after that, the principal amount will be larger, so the interest penalty will be larger. The fee would be the amount of interest that would be credited at the end of the next quarter, or at the end of the quarter currently in progress.

Answer:

2 sqrt(15)

Step-by-step explanation:

sqrt(60) = sqrt(4*15) = 2 sqrt(15)

Answer:

D

Step-by-step explanation:

Answer:

The probability that X and Y are both positive and that their sum is less or equal to 1 0.64.

Step-by-step explanation:

It is provided that the random variables X and Y follows a standard normal distribution.

That is, [tex]X,Y\sim N(0, 1)[/tex]

It is also provided that the variables X and Y are statistically independent of each other.

Compute the probability that X and Y are both positive and that their sum is less or equal to 1 as follows:

The mean and standard deviation of X + Y are:

[tex]E(X+Y)=E(X)+E(Y)=0+0=0\\\\SD(X+Y)=\sqrt{V(X)+V(Y)+2Cov(X,Y)}=\sqrt{1+1+0}=\sqrt{2}[/tex]

The probability is:

[tex]P(X+Y\leq 1)=P(X+Y<1-0.50)\ [\text{Apply continuity correction}]\\[/tex]

                       [tex]=P(X+Y<0.50)\\\\=P(\frac{(X+Y)-E(X+Y)}{SD(X+Y)}<\frac{0.50-0}{\sqrt{2}})\\\\=P(Z<0.354)\\\\=0.63683\\\\\approx 0.64[/tex]

*Use the z-table.

Thus, the probability that X and Y are both positive and that their sum is less or equal to 1 0.64.

Answer:

literally 7.68=7.680

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

Answer:

90 boys

Step-by-step explanation:

The soccer league has 180 players, and 50% or half are boys.

Multiply the total number of players in the league by the percent that are boys.

total number of players * percent of boys

180* 50%

Convert 50% to a decimal by dividing by 100, or moving the decimal place 2 spaces to the left.

50/100=0.50

50.0–>5.0–>0.50

180*0.50

Multiply

90

There are 90 boy soccer players in the league.

Answer:

4s< 32

Step-by-step explanation:

Congruent sides mean they are all the same length

Let the length be s

Perimeter means add the sides

s+s+s+s < 32

4s< 32

Answer:

4s>32

Step-by-step explanation:

your welcome dears

Answer:

a) The Expectation of the Population  to grow in the next year

                         = 3069

b) The Expectation of the Population decrease in the next year

                         = 12,467

Step-by-step explanation:

Explanation:-

a)

The population of Boom town is currently 3000

Given expected to grow by 2.3 % over the  next year

                  = [tex]3000 X \frac{2.3}{100} = 69[/tex]

                  = 69

The Expectation of the Population growth in the next year

                         = 3000 +69 = 3069

b)

The population of town is currently 13000

Given expected to grow by 4.1 % over the  next year

                  = [tex]13000 X \frac{4.1}{100} = 533[/tex]

The Expectation of the Population decrease  in the next year

                         = 13000 - 533 = 12,467

Question:  

The physiological blind spot refers to a very small zone of functional blindness in the eye where the optic nerve passes through the retina. We do not notice it because our nervous system compensates for it. Can eye training reduce the size of a person's physiological blind spot? Researchers recruited a representative sample of 10 adults with normal vision. Each participant performed training exereises with one eye for three weeks. The size of the physiological blind spot was measured (in degrees of visual angle squared) with a motion detection task both prior to training and again after the training was completed. Which of the options is the response variable?

A) The size of the physiological blind spot

B) The number of adults.

C) The type of training exercises performed by each participant.

D) The size of the physiological blind spot.

E) The number of times an adult performed training exercises.

Answer:

The correct answer is A)

Explanation:

The response variable (when experimenting) is the variable or factor about which the researcher is concerned. It can also be (as the name entails) the variable which respond to changes in the experiment.  

The changes in the experiment is the training. The variable which the researcher is concerned about and which may or may not change with the introduction of training is the size of the physiological blind spot.

Cheers!

Answer:

The mode is 15

Step-by-step explanation:

The mode is the number which appears most often in a set of numbers. Example: in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 (it occurs most often).

Answer:

The mode of this set is 15.

Step-by-step explanation:

the mode is 15 bcoz 15 is repeated two times where as other numbers aren't repeated..

Answer:

We can eliminate the second and third options because marking something up doesn't result in a number less than the original. Since we are told to select 3 options and there are 3 answer choices left we select the first, fourth, and fifth statements.

Answer:

The graph is shown below.

Step-by-step explanation:

The trigonometric expression is:

[tex]f(x)=sin\ (x)-5[/tex]

The general form is:

[tex]f(x)=a\ \text{sin}\ (bx-c)+d[/tex]

Comparing the two expression we know:

a = 1

b = 1

c = 0

d = -5

Compute the value of amplitude, |a | as follows:

[tex]\text{Amplitude}=|a|=|1|=1[/tex]

Compute the period of the function as follows:

[tex]\text{Period}=\frac{2\pi}{|b|}=\frac{2\pi}{|1|}=2\pi[/tex]

Compute the phase shift as follows:

[tex]\text{Phase Shift }=\frac{c}{b}=\frac{0}{1}=0[/tex]

The vertical shift is:

[tex]\text{Vertical Shift}=d=-5[/tex]

The properties of the trigonometric function are:

Amplitude = 1

Period = 2π

Phase shift = 0

Vertical shift = -5

Plot the graph of the trigonometric function by selecting a few points.

   x :  [tex]0[/tex]      [tex]\frac{\pi}{2}[/tex]     [tex]\pi[/tex]     [tex]\frac{3\pi}{2}[/tex]    [tex]2\pi[/tex]

f (x) : -5    -4    -5    -6    -5

The graph is shown below.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

  [tex]\frac{\delta E}{\delta m}= c^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } -1 ][/tex]

b

       [tex]\frac{\delta E}{\delta V} = \frac{mc^3 v}{(c^2 - v^2 )^{\frac{3}{2} }}[/tex]

Step-by-step explanation:

From the question we are given

            [tex]E = mc^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2} } }- 1 ][/tex]

So we are asked to find  [tex]\frac{\delta E}{\delta m}[/tex]

Now  this is mathematically evaluated as

          [tex]\frac{\delta E}{\delta m} = \frac{\delta }{\delta m} [mc^2 ( \frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } -1 )][/tex]

               [tex]= c^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2 } } } -1 ] \frac{\delta m}{\delta m}[/tex]

              [tex]= c^2 [\frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } -1 ][/tex]

Also we are asked to find  [tex]\frac{\delta E}{\delta V}[/tex]

    Now  this is mathematically evaluated as

         [tex]\frac{\delta E}{\delta V} = \frac{\delta }{\delta v } [mc^2 ( \frac{1}{\sqrt{1 - \frac{v^2}{c^2} } } - 1 )][/tex]

         [tex]\frac{\delta E}{\delta V} = mc^2 [\frac{\delta }{\delta v} (\frac{c}{\sqrt{c^2 -v^2} } - 1 )][/tex]

              [tex]= mc^2 [c* [\frac{\delta }{\delta v} (c^2 - v^2 )^{-\frac{1}{2} }] - 0][/tex]

             [tex]= mc^3 [- \frac{1}{2} (c^2 - v^2 )^{-\frac{3}{2} } * (-2v)][/tex]

             [tex]= \frac{mc^3 v}{(c^2 - v^2 )^{\frac{3}{2} }}[/tex]

Answer:

655 people would need to be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In this question, we have that:

[tex]\pi = 0.68[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%?

We need to survey n adults.

n is found when M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.68*0.32}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.68*0.32}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.68*0.32}}{0.03}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.645\sqrt{0.68*0.32}}{0.03})^{2}[/tex]

[tex]n = 654.3[/tex]

Rounding up

655 people would need to be surveyed.

Answer:

So the answer is going to be B. AKA 22.5

Step-by-step explanation:

I took the test on ed and got this answer right! hth (hope this helps)

Answer:

B, second option, 22.5

Step-by-step explanation:

1.)because

2.)i'm

3.)kinda

4.)smart

answer=22.5:))))))))

Answer:

I think the median is 7

if it is not im so sorry

The median of the data is 7.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment