A 10p coin weighs 6.5g. What is the weight of a bag of 10p coins worth £3.50?​

Answer:

Dr. Gavin needs to recruit 200 participants.

Step-by-step explanation:

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.

This means that there will be 2*4 = 8 cells.

Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?

25 people in each cell, 8 cells. So

25*8 = 200

Dr. Gavin needs to recruit 200 participants.

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:

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:

C.

Step-by-step explanation:

The numbers in the front will be the first number and the ones behind it will be the second number.

So the numbers are 79,82,82,83,86,90,91,93,94 and 97

Then you want to add the lowest number and the greatest number which is 79 and 97

equals to 176

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.

Answer:

The answer is A.

Step-by-step explanation:

Put in all the numbers given to us:

m = 3

t = 10

p = 2

3-10^2/(3+2)+2*10 = 3

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: 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:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

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

9514 1404 393

Answer:

   C. C,D,A,B,E

Step-by-step explanation:

The first set of coordinates, (-3, 4) and (3, 4) are on the horizontal line y=4. The distance between them is the difference of their x-values: 3 -(-3) = 6. This is the third distance on the list, so 'A' will be 3rd in the sequence of matching.

Choices A and C have 'A' listed 3rd.

__

The second set of coordinates (-5, 3) and (-5, 11) are on the vertical line x=-5. The distance between them is the difference of their y-values: 11 -3 = 8. This is the 4th distance on the list, so 'B' will be 4th in the sequence of matching.

Choice C has 'B' listed 4th.

The appropriate sequence of matching is ...

  C, D, A, B, E

_____

Additional comment

In this problem, as in most multiple-choice problems, it isn't necessary to find the complete answer. It is only necessary to find enough of the answer to determine the correct choice among those offered. You do need to know enough about how to work the problem to be able to tell a correct choice from an incorrect one. Knowing the required relationships is useful; slogging through the arithmetic is often not necessary.

Answer:

C. C,D,A,B,E

Step-by-step explanation:

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:

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

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:

4

Step-by-step explanation:

I took the test and I got it right

Probability of Harper hitting a bullseye on any given toss is 1/4 then we would expect Harper to get 4 bullseyes during her next 16 tosses.

The probability of Harper hitting a bullseye on any given toss, based on the data provided, is:

P(bullseye) = 3/12 = 1/4

To find how many bullseyes we would expect Harper to get during her next 16 tosses, we can use the expected value formula:

Expected value = Number of trials x Probability of success

In this case, the number of trials is 16 and the probability of success (hitting a bullseye) is 1/4.

Expected value = 16 x 1/4 = 4

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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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Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

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

Answer:

Step-by-step explanation:

BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.

Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.

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:

95%

Step-by-step explanation:

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

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

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:

20 patients

Step-by-step explanation:

4/5 of 25 is 20

Answer:

c

Step-by-step explanation:

trust

Answer:

1.39285714286

Step-by-step explanation:

[tex]1\frac{1}{3} + 2\frac{1}{4} = \frac{3*1+1}{3} + \frac{4*2+1}{4} = \frac{4}{3} + \frac{9}{4} = \frac{4*4}{3*4} + \frac{9*3}{4*3} = \frac{16}{12} + \frac{27}{12} = \frac{16+27}{12}=\frac{23}{12} = 1\frac{11}{12}[/tex]

Answer:

The probability of rolling 4 is 1/6.”

Answer:

1/6

Step-by-step explanation:

no: of 4rs i a dice = 1

total no: on dice = 6

possibility = 1/6

I hope im right!