What is the length of MO, given that figure LMNO is a square?

Answer:

z = 60°

Step-by-step explanation:

In ΔABC

Sum of all angles of triangle = 180

65 + 55 +∠A = 180

120 +∠A = 180

∠A = 180 - 120

∠A = 60

In similar triangles, corresponding angles are congruent

z = ∠A

z = 60°

Answer:

1. Critical value t=±2.447

2. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the birth weight significantly differs from 6.6 lbs.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=6.6\\\\H_a:\mu\neq 6.6[/tex]

The significance level is 0.05.

The sample has a size n=7.

The sample mean is M=7.56.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1.18.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1.18}{\sqrt{7}}=0.446[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.56-6.6}{0.446}=\dfrac{0.96}{0.446}=2.152[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=7-1=6[/tex]

For a two-tailed test with 5% level of significance and 6 degrees of freedom, the critical value for t is ±2.447.

As the test statistic t=2.152 is under 2.447 and over -2.447, it falls in the acceptance region, so the effect is not significant. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Sample mean and standard deviation calculations:

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{7}(9+7.3+6+. . .+6.6)\\\\\\M=\dfrac{52.9}{7}\\\\\\M=7.56\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{6}((9-7.56)^2+(7.3-7.56)^2+(6-7.56)^2+. . . +(6.6-7.56)^2)}\\\\\\s=\sqrt{\dfrac{8.32}{6}}\\\\\\s=\sqrt{1.39}=1.18\\\\\\[/tex]

Answer:

Step-by-step explanation:

[tex] \frac{5}{x + 2} = 3[/tex]

Apply cross product property:

[tex]5 \times 1 = 3(x + 2)[/tex]

Distribute 3 through the parentheses:

[tex]5 = 3x + 6[/tex]

Move variable to L.H.S and change its sign

[tex] - 3x + 5 = 6[/tex]

Move constant to RHS and change its sign

[tex] - 3x = 6 - 5[/tex]

Calculate

[tex] - 3x = 1[/tex]

Divide both sides of the equation by -3

[tex] \frac{ - 3x}{ - 3} = \frac{1}{ - 3} [/tex]

Calculate

[tex]x = - \frac{1}{3} [/tex]

Hope this helps...

Best regards!

5/x+2 = 3

..

5 = ( x + 2) 3

5 = 3x + 6

5 + (-6) = (3x + 6 + (-6)

-1 = (3x+6) - 6

-1 = 3x

switcharoo

3x/3 = -1/3

x = -1/3

Answer:

If r = 6 cm, the the circumference is c = 2π(6) = 12π cm

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

━━━━━━━☆☆━━━━━━━

▹ Answer

4 ÷ 2/3 = 6

1 ÷ 10/3 = 3/10

1 ÷ 4/7 = 1 3/4

9 ÷ 1/3 = 27

4 ÷ 5/4 = 3 1/5

▹ Step-by-Step Explanation

4 ÷ 2/3 = 4 × 3/2 = 12/2 = 6

1 ÷ 10/3 = 1 × 3/10 = 3/10

1 ÷ 4/7 = 1 × 7/4 = 7/4 = 1 3/4

9 ÷ 1/3 = 9 × 3/1 = 27/1 = 27

4 ÷ 5/4 = 4 × 4/5 = 16/5 = 3 1/5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Cube

Step-by-step explanation:

A cube is a 3-D shape that consists of 6 squares. A cube is the correct following shape that must have a square base or a square bottom since all of it's sides are the shape of a square.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Step-by-step explanation:

The cube is the only one there that must have a square base.

The rectangular prism might have a square base, but most likely it does not. T

The pyramid can have a square base like the ones in Egypt but it can also have a triangular base.

A cone has a circular base.

Answer:

y = -2/3x-9

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3x+b

We have a point we can substitute into the line

-5 = -2/3(-6)+b

Subtract 4 from each side

-5-4 =4+b-4

-9 =b

y = -2/3x-9

Answer:

Velocity = Ds(t)/Dt= 15πcos(15πt)

Step-by-step explanation:

The displacement is given by

s(t) = 15 + 1 4 sin(15πt)

The velocity of the particle on the vibrating string is the differential of the displacement.

The velocity will be equal to

Ds(t)/Dt

s(t) = 15 + 1 4 sin(15πt)

Ds(t)/Dt = D(15))Dt + D(sin(15πt))/Dt

Let sin(15πt) = sinu

Dsinu = cos u

U = 15πt

Du/Dt = 15π

Ds(t)/Dt= 0 + 15πcosu

Ds(t)/Dt= 15πcos(15πt)

Answer:

60%

Step-by-step explanation:

3 of the 5 elements in P are odd (5, 11, & 13), so the probability is 3/5 or 60% or 0.6. (Depending on the format your teacher wants it in).

Answer:

D.y-4=f(x+3)

Step-by-step explanation:

The correct translation would be y-4 because the y-coordinate moves down 4 units and f(x+3) because the x-coordinate would move 3 spaces to the right.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The equation of the translation image of the function is  y - 4 = f(x + 3).

which is the correct answer would be an option (D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

To determine the graph of y (x) is translated as 3 units right and 4 units down.

The x-coordinate will increase by 3 if we move it to the right.

If we shift it downward, it will become negative and read as y - 4.

So y - 4 = f(x + 3)

Therefore, the equation of the translation image of the function is  y - 4 = f(x + 3).

Learn more about the graph here:

brainly.com/question/16608196

#SPJ2

Answer:

$14.034

Step-by-step explanation:

40/10 means that the price has a 40% discount and then, a 10% discount from what is left. To calculate the net price, first you have to calculate the price with the 40% discount:

25.99*(1-0.4)= 15.594

Then, you have to calculate the price with the 10% discount:

15.594*(1-0.1)= 14.034

According to this, the net price is $14.034.

Answer:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

Step-by-step explanation:

Given the sequence:

We can easily calculate the difference of terms:

As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)

This sequence can be defined In the form of function as:

All the above matches the first answer choice:

Answer:

First blank is 4, second blank is 0

Step-by-step explanation:

divide it :)

Answer:

Yellow box #1=0

Yellow box #1=4

Step-by-step explanation:

Answer:

46. C

47. A

Step-by-step explanation:

46.

Step 1: Find m∠G (In triangle)

180 - 110 = 70°

Step 2: Find x

5x + 6x + 70 = 180

11x + 70 = 180

11x = 110

x = 10

Step 3: Find m∠FEG

5(10) = 50°

47. The reason A is incorrect is because when you solve for x, x doesn't equal 10. It would equal 7, and that would not be correct as we solved for x in question 46.

Answer:

She is saving 10 cents per pound

Step-by-step explanation:

First, we need to find how much she would pay without the sale:

12.5(1.8) = 22.5

Now, we can calculate how much she saved:

22.5 - 21.25 = 1.25

To find how much she's saving per pound, we divide the difference by the number of pounds:

1.25/12.5 = 0.1

She is saving 10 cents per pound

Answer:

A

Step-by-step explanation:

I took the test and got it right

Answer:

No solution

Step-by-step explanation:

Step 1: Write out equations

y = -1/4x + 2

3y = -3/4x - 6

Step 2: Substitution

3(-1/4x + 2) = -3/4x - 6

Step 3: Distribute

-3/4x + 6 = -3/4x - 6

From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.

Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.

Answer:

No solution

Step-by-step explanation:

y = -1/4x + 2

3y = -3/4x - 6

Plug y as -1/4x + 2 in the second equation.

3(-1/4x + 2) = -3/4x - 6

-3/4x + 6 = -3/4x - 6

-3/4x + 3/4x = -6 -6

0 = -12

No solution.

Answer:

The 1st word problem.

Step-by-step explanation:

In the second word problem, the beginning elevation is -60 meters. The ending elevation is a forest with an elevation of 60 meters.

The question asks how much higher the elevation where Hayley goes camping than the elevation of desert shores.

Hayley's elevation=60 meters

Desert Shore's elevation = -60 meters.

60-(-60) = 60+60 = 120

The first word problem asks for the elevation where Hayley is going camping.

Hayley's elevation is Deserts shore's elevation + 60.

DSE= -60

-60+60=0

The first answer is correct.

Answer:

Option B - 0.02

Step-by-step explanation:

In this question, the p-value is used to tell us the probability that a difference of (0.88 – 0.68) which is 0.2 or greater would occur in the distribution of simulated differences. This is created done with the assumption that there is no true difference in the two populations.

Due to the fact that the researchers found the difference in proportions to be statistically significant, hence these results would rarely occur due to just the sampling variability and thus the p-value must be small.

Looking at the options, the p-value in Option (B) will be the correct response,l as it indicates that a difference of 0.2 or more would only occur about 2% of the time by chance alone provided the proportion who text were the same in the population of seniors and the population of freshmen. This resonates well with the claim that the difference in proportions is statistically significant.

Thus, Option B is the correct answer.

Answer:

B. -1.

Step-by-step explanation:

[tex]i^1[/tex] = i

[tex]i^2 = -1[/tex]

[tex]i^3 = -i[/tex]

[tex]i^4 = 1[/tex]

...And it keeps going in a pattern, from i to -1 to -i to 1. And so, we have four values.

34 / 4 = 8 with a remainder of 2. That means that the value of [tex]i^{34}[/tex] is the same thing as [tex]i^2\\[/tex], so it is B. -1.

Hope this helps!

Answer:

Choice A. x = y

Step-by-step explanation:

x and y are alternate interior angles.

Theorem:

If parallel lines are cut by a transversal, then alternate interior angles are congruent.

Answer: Choice A. x = y

Answer:

A.

Step-by-step explanation:

x=y ( alternate interior)

Answer:

x=4, y=11

Step-by-step explanation:

y = -2x + 19

y = x + 7

Since both equations are equal to y, we can set them equal to each other

-2x + 19= x + 7

Add 2x to each side

-2x + 19+2x= x + 7+2x

19 = 3x+7

Subtract 7 from each side

19-7 = 3x+7-7

12 = 3x

Divide by 3

12/3 = 3x/3

4=x

Now find y

y=x+7

y = 4+7

y=11

Answer:

x = 4

y = 11

Step-by-step explanation:

y = -2x + 19

y = x + 7

Put y as x + 7 in the first equation and solve for x.

x + 7 = -2x + 19

Add 2x and -7 on both sides.

x + 7 + 2x - 7 = -2x + 19 + 2x - 7

x + 2x = 19 - 7

Combine like terms.

3x = 12

Divide both sides by 3.

3x/3 = 12/3

x = 4

Put x as 4 in the second equation and solve for y.

y = 4 + 7

y = 11

Answer:

[tex] P(X>4)[/tex]

And we can use the cumulative distribution fucntion given by:

[tex] F(x) =\frac{x-a}{b-a} , a \leq x \leq b[/tex]

And if we use this formula with the complement rule we have:

[tex] P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286[/tex]

And the best option would be:

B. 0.4286

Step-by-step explanation:

Let X the random variable that represent the time that customers wait to be served at the delicastessen for a grocery store. And we know that the distribution for X is given by:

[tex] X \sim Unif( a=0, b=7)[/tex]

And we want to find the follwing probability:

[tex] P(X>4)[/tex]

And we can use the cumulative distribution fucntion given by:

[tex] F(x) =\frac{x-a}{b-a} , a \leq x \leq b[/tex]

And if we use this formula with the complement rule we have:

[tex] P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286[/tex]

And the best option would be:

B. 0.4286

The probability that a randomly selected customer will wait more than 4 minutes at the  delicatessen is 0.4286.

Given The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes {1,2,3,4,5,6,7}.

We have to calculate probability that a randomly selected customer will wait more than 4 minutes at the delicatessen. So for more than 4 minutes their is only 3 outcomes possible {5,6,7} because the data is uniformly distributed.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability (Event) = Favorable Outcomes/Total Outcomes = x/n

Now, probability (more than 4 minute)[tex]= \frac{3}{7}[/tex]

probability (more than 4 minute)[tex]= 0.4286[/tex].

Hence the probability that a randomly selected customer will wait more than 4 minutes at the  delicatessen is 0.4286.

For more details on probability follow the link:

https://brainly.com/question/795909

Answer:

none of the above

Step-by-step explanation:

f(x) = 5 * 2^x

Let x = 3

f(3) = 5 * 2^3

     = 5 * 8

    = 40

Answer:

  see below

Step-by-step explanation:

The coefficients are 19Cr for r from 0 to 19, as shown in the first and last choices. The sum of the powers of the factors is 19, as shown in the first and last choices. The only difference between the first and last choices is the order of terms in the sum. Both have the same total, and both are equivalent expansions of the given expression.

If you prefer the higher powers of m to appear first, then the last choice is appropriate.

Answer:

131.88 cm²

Step-by-step explanation:

At = 2×Acircle + Arectangle

= 2×π·r² + w×h

w = 2π·r = 2·3.14·3 = 18.84 cm

At = 2·3.14·9cm² + 18.84cm·4cm

= 56.52cm² + 75.36cm²

= 131.88 cm²

Answer:

At mile 3 company A will start charging less.

Step-by-step explanation:

I came to this conclusion by realizing that no matter what company A will always charge $107 so, in theory all we needed to do was get company eight to $108. So having this mind set I created the equation, 65 + .70x  . I continuously kept on changing what was in x until the price was just above Company A's. And the number that got me there was 3.

Answer:

4069

Step-by-step explanation:

d = 72

r = 36

A = (pi)r^2 = 3.14 * 36 * 36 = 4069

Answer:

4. f(x) = 8x^4 – 3x + 5x^2​

Step-by-step explanation:

In choices 1., 2., and 3., each function is a 2nd degree function since the term with the highest degree has an exponent of 2 on x. In choice 4., the function is a 4th degree function since there is a term with x^4, and that is the highest exponent on x.

Answer: 4. f(x) = 8x^4 – 3x + 5x^2​

Answer:

Step-by-step explanation: Answer is 2√17 units

Distance =√ (−2−0) ^2−(5−(−3)) ^2

=√ (−2) ^2−(5+3) ^2

=√4+64

=√68

=2√17 units