Janay paid $168 for 42 sandwiches for the class picnic. What is the unit rate in dollars for each sandwich?​

Answers

Answer 1

Answer:

4

Step-by-step explanation:


Related Questions

what is 1234 times 123456789? please answer fast!!!

Answers

Answer:

123,458,023 is the answer

Step-by-step explanation:

Answer:

152,345,677,626

Step-by-step explanation:

Which is the correct answer...

Answers

Answer:

Option A

Step-by-step explanation:

We have y=X-7

sub 1st value 10 then we get y=10-7=3

In the same way y=11-7=4

Y=12-7=5

Y=13-7=6

Y=14-7=7

The answer is definitely a (the numbers given at output X minus 7 would give you the answers)

Tan(43)=1347/x
Can someone help please

Answers

the answer is ssmsmsmsmsmememememeememekekeke

Answer:

Step-by-step explanation:

tan(43) = 1347/x

Multiply by x to bring it to the other side.

x*tan(43) = 1347

Divide by tan(43) to get x by itself.

x = 1347/tan(43)

Use the tan and cot relationship.

x = 1347 * cot(43)

Multiply.

x ≈ 1444.5

Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk. At the end of the week, she tells her mom, “I walked pepper for 30 miles this week! How long is her morning walk?

Answers

Answer:

(30*2)/49

Step-by-step explanation:

let her morning walk distance be x

her evening distance walk =2 1/2 x

= 5x/2

her daily walk distance =5x/2+x

= 5x/2+2x/2=7x/2

her weekly walk distace= 7x/2*7=49x/2=30miles

x= (30*2)/49

In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36. What is the value of the cosine of ∠B to the nearest hundredth?

Answers

Answer:

cosB = 0.91

Step-by-step explanation:

Draw a picuture!

cosB = adj/hyp

cosB = DC / CB

cosB = 77 / 85

cosB = 0.91

In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36. The value of the cosine of ∠B to the nearest hundredth, cos B = 0.91.

What are trigonometric identities?

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

These are defined only in right-angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36.

We know that

cos B = adj/hyp

cos B = DC / CB

cos B = 77 / 85

cos B = 0.91

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Jenelle invested $17000 in two mutual funds. Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss. If she received a total of $460 profit, how much had she invested in each mutual fund?

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

Jenelle put $13,000 in Fund A mutual fund and $ 4,000 in Fund B mutual fund.

Step-by-step explanation:

As soon as Jenelle invested $ 17000 in two mutual funds: Fund A, which earned a 4% profit during the first year; and Fund B, which suffered a 1.5% loss, if she received a total of $ 460 profit, to know how much had she invested in each mutual fund, the following calculation must be done:

17000 x 0.04 - 0 x 0.015 = 680

15000 x 0.04 - 2000 x 0.015 = 570

13000 x 0.04 - 4000 x 0.015 = 460

Therefore, Jenelle put $ 13,000 in Fund A mutual fund and $ 4,000 in Fund B mutual fund.

Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X

Answers

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

Pat made a total of 48 pottery plates and cups, how many plates did she make?

Answers

I think 24.. I am so so sorry if this is wrong but I got it right on my question

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at

Answers

Answer:

z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Step-by-step explanation:

We will test the breeder´s claim at 95% ( CI) or significance level

α = 5 %   α = 0,05    α /2 = 0,025

Sample Information:

sample size   n  = 45

sample mean   x  = 72,5 pounds

Sample standard deviation  s = 16,1

1.-Hypothesis Test:

Null Hypothesis                              H₀        x  =  70

Alternative Hypothesis                  Hₐ        x  ≠  70

Alternative hypothesis contains the information about what kind of test has  to be developed ( in this case it will be a two-tail tets)

2.-z (c) is from z-table     z(c) = 1,96

3.- z(s)  =  ( x - 70 ) / 16,1 / √45

z(s)  =  (72,5 -70 ) *√45 / 16,1

z(s)  = 2,5 * 6,71 / 16,1

z(s)  = 1,04

4.-Comparing  z(s) and z(c)

z(s)  <  z(c)

Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Complete Question:

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at \alpha=0.04

a)State null and alt hypothesis

b)determine t statistics

c)compute the P value

d) decision about the test

Answer:

a)Null Hypothesis            [tex]H_0:\mu=70[/tex]

  Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]

b)   [tex]t=1.042[/tex]

c)  [tex]TDIST(1.042)=0.30310338[/tex]

d)We reject the alternative hypothesis

Step-by-step explanation:

From the question we are told that:

Population mean [tex]\mu=70[/tex]

Sample size [tex]n=45[/tex]

Sample mean [tex]\=x=72.5[/tex]

Standard deviation [tex]\sigma=16.1 pounds.[/tex]

Significance level [tex]\alpha=0.04[/tex]

a

Generally the Hypothesis is mathematically given by

Null Hypothesis            [tex]H_0:\mu=70[/tex]

Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]

b) Generally the Equation for test statistics is mathematically given by

  [tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]

  [tex]t=\frac{72.5-70}{\frac{16.1}{\sqrt{45}}}[/tex]

  [tex]t=1.042[/tex]

c)

Generally From T distribution table P value is mathematically given by

  [tex]TDIST(1.042)=0.30310338[/tex]

d)

Therefore as p value is greater tab significance level

[tex]0.30310338>0.04[/tex]

The Test statistics does nt fall in the rejection rejoin

Therefore

We reject the alternative hypothesis

4 + (m -n )^4 when m =7 and n = 5 whats the value ?

Answers

Answer:

20

Step-by-step explanation:

We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.

If this has helped please mark as brainliest

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{Equation:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]


[tex]\large\textsf{Solving:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]

[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]

[tex]\mathsf{= 4 + (2)^4}[/tex]

[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]

[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]

[tex]\mathsf{= 4 + 4\times 4}[/tex]

[tex]\mathsf{= 4 + 16}[/tex]

[tex]\mathsf{= 20}[/tex]


[tex]\large\textsf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Final question NO LINKS
Fake answers will be reported
Bots will be reported

Good answers that are right and perfect will get brainly extra points five stars thanks and a blessing

This is final and FINAL.

Answers

6. 24

7. 40

8. 16

9. 10

10. 18

11. 36

12. 24

13. 22

I haven't done these kinds of problems in a while so sorry if any of them are wrong :(

Have a good day :)

These dot plots show the heights (in feet) from a sample of two different types of elephants Asian Elephants . 5 10 11 12 14 15 16 17 18 19 20 Height at the shoulder ift) African Elephants Helghut the shoulder It) What are the differences between the centers and spreads of these distributions? Select two choices: one for the centers and one for the spreads. A. Spreads. The heights of the Asian elephants are more spread out ( B. Centers: The Asian elephants have a lower median height than the African elephants c. Centers. The Asian elephants have a greater median height than the African elephants 1 D. Spreads The heights of the African elephants are more spread will give brainliest just help ​

Answers

Answer:

B - Centers: The Asian elephants have a lower median height than the African elephants

D - Spreads: The heights of the African elephants are more spread out

Step-by-step explanation:

On analyzing the dot plots, we find that the heights of the African elephants are more spread out and the Asian elephants have a lower median height than African elephants.

What is median?

Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.

Median of height of Asian elephants = 8 ft

Median of height of African elephants = 11 ft

This implies that the Asian elephants have a lower median height than African elephants.

What is spread of data?

Spread describes the variation of the data. One of the measures of spread is range.

Range of height of Asian elephants = 4ft

Range of height of African elephants = 10ft

This implies that the height of African elephants are more spread out.

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Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?

Answers

14 hours or 2 hours. Im not sure

The Hershey Company has been receiving complaints that their chocolate almond bars contain fewer almonds than they've previously contained. Hershey's records show that over time each bar of candy contains a mean of 17 almonds. A sample of 30 of last month's chocolate bars has a mean of 14 almonds with a standard deviation of 8. Test the hypothesis (alpha

Answers

Temporary Help Answer

The answer is limited due to the lack of questions, so I'll give you some answers related.

State appropriate Hypothesis for performing a significance test. Be sure to define the parameter of interest. (u = mu)

[tex]H_{null}:u=17 \\H_{a}:u<17[/tex]        Where mu = the true mean of almonds in each bar of candy.

Calculate the test statistic and the P-Value.

mu = 17

x-bar = 14

[tex]S_{x} = 8[/tex]

[tex]n = 30[/tex]

Use the T-Test (STAT) if you have a Graphing Calculator.

Interpret the P-Value in context.

Assuming the mean number of almonds in each candy bar is 17, there is a [P-Value] probability of getting a sample mean of 14 by chance alone.

What is the decision at the given significance level?

P-val of [P-Value] is (> or <?) to the alpha level [[tex]a[/tex]], so you must (fail to reject or reject?) the Null Hypothesis.

What do you conclude? (If P-val is smaller than the alpha level, reject the null hypothesis, meaning there is significant evidence.)

Because the P-Value of [P-Value] is (less/greater) than [tex]a = (?)[/tex], the observed result (is or is not?) statistically significant. There (is or is not?) significant evidence to conclude that the chocolate almond bars contain fewer almonds than they've previously contained.

A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.

A. 5/13
B. -5/13
C. -12/13
D. 12/13

Answers

Answer:

D.   12/13

Step-by-step explanation:

Hyp = √( (-20)² + 48² )

Hyp = 52

Sin = opp/hyp

sin = 48/52 = 12/13

The value of trigonometric ratio Sinθ = 12/13.

Hence option D is correct.

According to the given point

The base of the triangle be = -20

Perpendicular of triangle = 48

We know that the Pythagoras theorem for a right-angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Therefore,

Hypotenuse = √( (-20)² + 48² )

Hypotenuse = 52

Since we know that,

Sinθ = opposite side of θ /hypotenuse

        =  48/52

        = 12/13

Hence,

Sinθ = 12/13

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The complete question is:

A point (-20, 48 ) is on the terminal side of angle θ .

Find the exact value of Sinθ.

A. 5/13

B. -5/13

C. -12/13

D. 12/13

Use the following function rule to find f(1).

f(x) = 5(8)x+ 4

f(1) =

Answers

Answer:

on the pic

Step-by-step explanation:

substitute the x with 1

Answer:

f(1)=44

Step-by-step explanation:

Wherever you see x, you will replace it with 1

so, 5(8)1+4

(40)1+4

40+4

=44

Use the parabola tool to graph the quadratic function f (x) = 2x2 - 4x + 6.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

The vertex of the parabola f(x) = 2x^2 - 4x + 6 is (1, 4)

How to graph the parabola?

The function is given as:

f(x) = 2x^2 - 4x + 6

Differentiate the function

f'(x) = 4x - 4

Set to 0

4x -4 =0

So, we have:

4x = 4

Divide by 4

x = 1

Substitute x = 1 in f(x) = 2x^2 - 4x + 6

f(1) = 2(1)^2 - 4(1) + 6

This gives

f(1) = 4

This means that the vertex is (1, 4)

Next, we set x = 0.

So, we have:

f(0) = 2(0)^2 - 4(0) + 6

This gives

f(0) = 6

This means that the parabola passes through the point (0, 6)

See attachment for the parabola

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Question #7
Correct answer is B
Explain or show steps

Answers

Refer to the diagram below. We have the following points

A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the person

The shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.

Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x

AD/BE = AC/BC

15/6 = (x+y)/y

15y = 6(x+y)

15y = 6x+6y

15y-6y = 6x

9y = 6x

y = 6x/9

y = 2x/3

y = (2/3)*x

The length of the shadow is 2/3 that of the distance from the person to the lamp.

Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.

y = (2/3)x

dy/dt = d/dt[ (2/3)x ]

dy/dt = (2/3)*d/dt[ x ]

dy/dt = (2/3)*dx/dt

dy/dt = (2/3)*4

dy/dt = 2.667

The rate in which the shadow is lengthening is approximately 2.667 ft per second.

Given that ux=$6 calculate o x •round your answer to two decimal places

Answers

Answer:

[tex]\sigma_x = 0.57[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 6[/tex]

See attachment

Required

Calculate [tex]\sigma_x[/tex]

This is calculated as:

[tex]\sigma_x = \sqrt{Var(x)}[/tex]

Where

[tex]Var(x) =\sum (x - \mu_x)^2 * P(x)[/tex]

So, we have:

[tex]Var(x) =(0 - 0.4)^2 * 0.64 + (1 - 0.4)^2 * 0.32 + (2 - 0.4)^2 * 0.04[/tex]

Using a calculator

[tex]Var(x) =0.32[/tex]

[tex]\sigma_x = \sqrt{Var(x)[/tex]

[tex]\sigma_x = \sqrt{0.32[/tex]

[tex]\sigma_x = 0.57[/tex] --- approximated

On a regional map, the scale shows that 2 cm on the map = 10 actual miles. The actual distance from Forest Hills to Plainville is 74 miles. How far apart are these cities on the map?
A.)5 cm
B.)7.4 cm
C.)8 cm
D).14.8 cm

Answers

Answer:

D      

Step-by-step explanation:

if every 2 cm on the map=10 miles, I can use my basic knowledge to find out how many cm will equal 70, in this case I can multiply 7 on both sides to find out how many cm on the map will equal 70, so 2(7)cm=10(7)mi will result as 14cm=70mi. Even though the answer seems pretty clear I can round my answer closer to 2 or I can double check by dividing 74 by 10=7.4 times the 2 cm which gets me 14.8.

3 m 3 m 3 m 3m 7 m Find the surface area of the object.​

Answers

Answer:

123 m²

Step-by-step explanation:

Surface area of the object = surface area of the bigger rectangular prism + (surface area of the smaller rectangular prism - area of the smaller rectangular prism base)

Surface area of the bigger rectangular prism:

L = 7 m

W = 3 m

H = 3 m

S.A = 2(LW + WH + LH)

S.A = 2(7*3 + 3*3 + 7*3)

S.A = 102 m²

Surface area of the smaller rectangular prism:

L = 3 m

W = 3 m

H = 1 m

S.A = 2(LW + WH + LH)

S.A = 2(3*3 + 3*1 + 3*1)

S.A = 30 m²

Area of the base of the smaller rectangular prism = L*W

L = 3 m

W = 3 m

Area = 3*3 = 9 m²

Surface area of the object = 102 + (30 - 9)

= 102 + 21

= 123 m²

Find the value of x.
43°
X
x = [?]°

Answers

The opposite sides are supplementary
43+x=180
X=137

At the Dr. Kim's office, 4 out of
every 5 patients treated had the
flu. If Dr. Kim treated 25 patients,
how many of them had the flu?

Answers

Answer:

20 patients

Step-by-step explanation:

4/5 of 25 is 20

Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute.a. What is the mean or expected number of customers that will arrive in a five-minute period?b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?

Answers

Answer:

a) 2

b)

0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.

0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.

0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.

0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.

c) 0.1428 = 14.28% probability that delays will occur

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

a. What is the mean or expected number of customers that will arrive in a five-minute period?

0.4 customers per minute, so for five minutes, this is [tex]\mu = 5*0.4 = 2[/tex]

b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.

[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]

0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.

[tex]P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707[/tex]

0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.

[tex]P(X =3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1805[/tex]

0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.

c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?

This is:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1353 + 0.2707 + 0.2707 + 0.1805 = 0.8572[/tex]

[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8572 = 0.1428[/tex]

0.1428 = 14.28% probability that delays will occur

Someone help me with this pls ty :) Math. No Fake answers please!!!

Answers

Answer:

-1 , 5 for the original figure and 7, 2 for the final figure

Step-by-step explanation:

Self Explanatory

If you want explanation, comment on this answer and I will tell you

purple triangle is where it should be placed :)

A manufacturer of cases for sound equipment requires drilling holes for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also for lost production. Engineers varied the rotation speed of the drill and measured the life- time y of four bits at each of five speeds.
Speed Lifetime
60 4.6
60 3.8
60 4.9
60 4.5
80 4.7
80 5.8
80 5.5
80 5.4
100 5
100 4.5
100 3.2
100 4.8
120 4.1
120 4.5
120 4
120 3.8
140 3.6
140 3
140 3.5
140 3.4
1. Create a scatterplot of the data. Does there appear to be a relation? Does it appear to be linear?
2. Regardless fit a simple linear regression model to the data. What can you say about the fit of the model to the data?
3. Is there any evident outlier 
. Remove this observation and fit the regression model again. Is it improving the model f?

Answers

Answer:

There seems to be m linear relation between te data.

Negative relationships between variables.

Step-by-step explanation:

Speed(X)

60

60

60

60

80

80

80

80

100

100

100

100

120

120

120

120

140

140

140

140

Lifetime (Y) :

4.6

3.8

4.9

4.5

4.7

5.8

5.5

5.4

5

4.5

3.2

4.8

4.1

4.5

4

3.8

3.6

3

3.5

3.4

The linear regression equation obtained by fitting the data using a regression model is :

ŷ = -0.017X + 6.03

From the regression plot, the relationship between the two variables, speed and lifetime is negative, that is an increase in one variable will lead to a corresponding decrease in the other.

You want to have 80000 college fund in 12 years. How much will you have to deposit now under the scenario below. Assume that you make no deposits into the account after the initial deposit.
An APR of 7.5​% compounded daily

Answers

9514 1404 393

Answer:

  $32,528.58

Step-by-step explanation:

For simplicity, we'll assume each year has 365 days.

The future value A of principal amount P at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t))

We want P when A = 80,000, r = 0.075, and t = 12.

  P = A/(1 +r/365)^(365t)

  P = $80000/(1+0.075/365)^(365·12) ≈ $32,528.58

You will have to deposit about $32,528.58.

Jamel discovers that the sum of point B and point C is zero.
which sentence is a correct statement about points B and C ?

Answers

Answer:

QUESTION:

Jamal discovers that the sum of point B and point C is zero which sentence is a correct statement about points B and C.A. point B is twice the distance to the left of zero as C is to the right of zero. .B. Point B is the opposite of point C..C. Point B has the value of zero and point C has a value less than zero. .D. Point B is positive while point C is negative

[tex] \huge\fbox\red{ᴀ}\huge\fbox\orange{ⁿ} \huge\fbox\pink{s}\huge\fbox\green{ʷ} \huge\fbox\blue{ᴇ}\huge\fbox\purple{ʳ}\ [/tex]

B. Point B is opposite of Point C

Step-by-step explanation:

Let B (x1, y1) and C (x2, y2) be two points.

if sum of B and C is 0:

([x1 + x2]/2, [y1 +y2]/2) = (0, 0)

then

[x1 + x2]/2=0 then x1+x2=0 then x1 = -x2 similarly, [y1+y2]/2=0 then y1+y2 = 0 then y1=-y2

Therefore,

B= (-x2, -y2) while C (x2, y2)

Point B and C are additive inverses of each other I e they are Opposite

(x,y)=-(a,b)=(-a,-b)[a=x,b=y]

Because then

x-a=0y-b=0

A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.

Answers

Answer:

47.7 ft

Step-by-step explanation:

tan= o/a

tan(23)= x/100

x=100/tan(23)

x= 42.4

42.4 + 5.3 = 47.7

Answer:

m∠B = 15°

and

h ≈ 31.28 ft

Step-by-step explanation:

only if it's on edge 2021. this showed up when I put in the question, so imma just assume there are others here like me.

Listed below are annual data for various years. The data are weights(metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (α) =0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.

Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9

Reqiured:
a. What are the null and alternative​ hypotheses?
b. Construct a scatterplot.
c. The linear correlation coefficient r is: ________
d. The test statistic t is :__________
e. The​ P-value is :___________

Answers

Answer:

R = - 0.9453

T = - 5.019

Pvalue = 0.212

Step-by-step explanation:

Given the data:

Lemon_Imports_(x)

230

264

359

482

531

Crash_Fatality_Rate_(y):

15.8

15.6

15.5

15.3

14.9

The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.

The test statistic, T :

T = r / √(1 - r²) / (n - 2)

T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)

T = - 0.9453 / 0.1883329

T = - 5.019

The Pvalue using a Pearson Pvalue calculator ;

df = n - 1 = 5 - 2 = 3 ; r = - 0.9453

Pvalue = 0.212

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