Continue filling in the valleys for the leaves of the remaining data items in the set.


54, 60, 70, 70, 75, 78, 79, 81, 86, 86, 86, 89, 91, 91, 91, 91, 91, 96

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.

Answer:

11 + 24x

Step-by-step explanation:

8 - 4(x - 7x) + 3

8 - 4x + 28x + 3

11 - 4x + 28x

11 + 24x

Answer:

8-4x+28x+3 = 24x+11

Step-by-step explanation:

brainliest?

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.

Answer:

162 cans

Step-by-step explanation:

100 - 82 = 18

18% of 900 =

0.18 * 900 =

162

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]

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

Because then

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 :)

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

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

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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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.

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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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.

Refer to the diagram below. We have the following points

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.

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

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

Answer:

go to school, do your work, you are only cheating yourself, not the school, or end up homeless

Step-by-step explanation:

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

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

Answer:

12n-10=14, n=2

Step-by-step explanation:

( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14

The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24

Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2

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]

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.

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

Answer:

20 patients

Step-by-step explanation:

4/5 of 25 is 20

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.

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.

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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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

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

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

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.