The number 0.05891 can be expressed using scientific notation as

Answer:

818.87

Step-by-step explanation:

£650 = $710.76

$1.00 = £0.91

Answer:

We reject the null hypothesis

Step-by-step explanation:

In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

Since the p value is less than a, you would reject the null hypothesis and conclude that women take more personal time than men.

Answer:

7. μ=204.9 and σ=5.4968

8. μ=75.9 and σ=0.7136

9. p=0.9452

Step-by-step explanation:

7. - Given that the population mean =204.9 and the standard deviation is 81.90 and the sample size n=222.

-The sample mean,[tex]\mu_x[/tex]is calculated as:

[tex]\mu_x=\mu=204.9, \mu_x=sample \ mean[/tex]

-The standard deviation,[tex]\sigma_x[/tex] is calculated as:

[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{81.9}{\sqrt{222}}\\\\=5.4968[/tex]

8. For a random variable X.

-Given a X's population mean is 75.9, standard deviation is 9.6 and a sample size of 181

-#The sample mean,[tex]\mu_x[/tex] is calculated as:

[tex]\mu_x=\mu\\\\=75.9[/tex]

#The sample standard deviation is calculated as follows:

[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{9.6}{\sqrt{181}}\\\\=0.7136[/tex]

9. Given the population mean, μ=135.7 and σ=88 and n=59

#We calculate the sample mean;

[tex]\mu_x=\mu=135.7[/tex]

#Sample standard deviation:

[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{88}{\sqrt{59}}\\\\=11.4566[/tex]

#The sample size, n=59 is at least 30, so we apply Central Limit Theorem:

[tex]P(\bar X>117.4)=P(Z>\frac{117.4-\mu_{\bar x}}{\sigma_x})\\\\=P(Z>\frac{117.4-135.7}{11.4566})\\\\=P(Z>-1.5973)\\\\=1-0.05480 \\\\=0.9452[/tex]

Hence, the probability of a random sample's mean being greater than 117.4 is 0.9452

Answer:

x = -3.5, 3.5

Step-by-step explanation:

| -x| = 3.5

x = -3.5, 3.5

Tell me if I am wrong.

Can I get brainliest

Final answer:

The solution set of the equation |–x| = 3.5 is found to be {3.5, -3.5}, considering both positive and negative values of x.

Explanation:

The solution set of |–x| = 3.5 involves considering two cases based on the absolute value:

When x is negative, the equation becomes -(-x) = 3.5, which simplifies to x = 3.5.

When x is positive, the equation remains -x = 3.5, resulting in x = -3.5.

Therefore, the solution set is {3.5, -3.5}.

Answer:

5) 54.

6) 20.

Step-by-step explanation:

Does that help

Answer:

78 6 9

Step-by-step explanation:

Answer:

$1,968.6

Step-by-step explanation:

Compound Interest = [P * (1 + i)ⁿ] - P

P = principal = $7,500

i = annual interest rate = 6%

n = number of periods = 4 years

Compound Interest = [$7,500 * (1 + 0.06)⁴] - $7,500

Compound Interest = [$7,500 * (1.06)⁴] - $7,500

Compound Interest = [$7,500 * (1.06)⁴] - $7,500

Compound Interest = [$7,500 * 1.26247696] - $7,500

Compound Interest = $9,468.5772 - $7,500

Compound Interest = $1,968.5772

Answer: I think it is the number of cubes you add with each layer

Step-by-step explanation:

like you add 12 cubes with each layer- so the height is multiplied by 12 btw :)

Good luck with your homework

Answer:

2 feet

Step-by-step explanation:

We are given that

[tex]b_1=21 feet[/tex]

[tex]b_2=5feet[/tex]

Area of trapezoid=26 square ft

We have to find the height of the cross section.

We know that

Area  of trapezoid=[tex]\frac{1}{2}(b_1+b_2)h[/tex]

Using the formula

[tex]26=\frac{1}{2}(21+5)[/tex]

[tex]26=\frac{1}{2}(26)h[/tex]

[tex]h=\frac{26\times 2}{26}=2 feet[/tex]

Hence, the height of cross section =2 feet

Answer:

y = 1/28

Step-by-step explanation:

Given the expression:

½y - 21/4 = 35/4

We'll have to Multiply through with the LCM which is (2y * 4 = 8y)

(8y) ½y - (8y) 21/4 = (8y) 35/4

4 - 2y * 21 = 2y * 35

4 - 42y = 70y

4 = 70y + 42y

4 = 112y

Divide through by 112 to make y the subject.

y = 4 / 112

y = 1 / 28

Answer: y = 28

Step-by-step explanation:

Add both sides by 21/4 to cancel out the 21/4 on the left side. 1/2y = 56/4

You can rewrite the fraction 56/4 as 28/2 by dividing the numerator and denominator by 2. 1/2y = 28/2

Multiply both sides by 2 and you get y = 28

Answer:

The solution is (0.4;-4.2). I'm not sure since my solution is none of your alternatives, but I don't think I have made any mistakes.

Step-by-step explanation:

Replace the y at the second eq.

-8x-4(2x-5)=-20

-16x+20=-20

-16x=-40

x=0.4

Therefore y equals:

2×0.4-5=-4.2

Answer:

one solution: (2.5,0)

Step-by-step explanation:

To calculate the surface area of a rectangular pyramid, you need to find the base area and the areas of the triangular faces, then sum them up. In this case, the surface area of the given rectangular pyramid is 65 square millimeters.

The surface area of a rectangular pyramid is calculated by adding the base area to the sum of the areas of the four triangular faces.

Final answer:

To find the optimal number of copies per package for delivery to three stores, we calculate the greatest common divisor of 25, 75, and 120, which is 5. Thus, copies should be packaged in groups of 5.

Explanation:

The subject of this question is Mathematics, and it seems best suited for a Middle School grade level. The problem presented is to find the largest number of copies that can be packaged together without needing to open any packages during delivery to three different stores which have ordered 25, 75, and 120 copies respectively.

The solution involves finding the greatest common divisor (GCD) of the three numbers. The GCD of 25, 75, and 120 is the largest number that divides all three without leaving a remainder. By using the Euclidean algorithm or prime factorization, we can determine that the GCD of 25, 75, and 120 is 5. Therefore, the magazine copies should be packaged in groups of 5 to ensure that no packages need to be opened during delivery and the number of copies per package is maximized.

Answer:

False, there are infinite solutions

Step-by-step explanation:

Try solving this

3y - 6x = 24

8 + 2x = y

3(8 + 2x) - 6x = 24

24 + 6x - 6x = 24

24 = 24  true

Answer:

a) 0.65

b) 0.1581

Step-by-step explanation:

We are given the following in the question:

Distribution of X:

Mean = 0.125

Standard deviation = 0.05

Distribution of Y:

Mean = 0.350

Standard deviation = 0.10

Solution:

[tex]M = X + 1.5Y[/tex]

a) mean of M

[tex]\mu_M = \mu_X + 1.5(\mu_Y) = 0.125 + 1.5(0.350) = 0.65[/tex]

b) standard deviation of M

If X and Y are independent then,

[tex]Var(X+Y) = Var(X) + Var(Y)\\Var)aX) = a^2Var(X)[/tex]

[tex]Var(M) = Var(X+1.5Y)\\Var(M) =Var(X) + (1.5)^2Var(Y)\\Var(M) = (0.05)^2 + (1.5)^2(0.10)^2 = 0.025[/tex]

Standard deviation of M =

[tex]=\sqrt{Var(M)} = \sqrt{0.025} = 0.1581[/tex]

The mean of M is 0.650. The standard deviation of M is approximately 0.1581.

To find the mean of M, we need to substitute the mean values of X and Y into the equation M = X + 1.5Y. Given that X has a mean of 0.125 and Y has a mean of 0.350, we can calculate the mean of M as follows:

Therefore, the mean of M is 0.650.

To find the standard deviation of M, we can use the fact that X and Y are independent. The formula for the standard deviation of the sum of independent random variables is given by:

σM = √(σX2 + (1.5σY)2)

Given that X has a standard deviation of 0.05 and Y has a standard deviation of 0.10, we can substitute these values into the formula to calculate the standard deviation of M:

Therefore, the standard deviation of M is approximately 0.1581.

Answer:

The sixth term;

= 16 + (6-1)4 = 16 +20 = 36

Sixth term = 36

Pattern; a = 16, d = 4

16,20,24,28,32,36...

Completed question;

Chairs for an orchestra are positioned in a curved form with the conductor at the center. The front row has 16 chairs, the second has 20 and the third has 24, and so on. describe the pattern of the sequence. How many chairs are in the 6th row?

Step-by-step explanation:

This scenario can be represented by an arithmetic progression sequence.

nth term of an AP = a + (n-1)d

Where;

a = first term

d = common difference

n = term number

Given;

First term a = 16

Second term = a + d = 20

since a = 16

a+d = 16+d = 20

d = 20-16 = 4

The sixth term;

= 16 + (6-1)4 = 16 +20 = 36

Sixth term = 36

Pattern; a = 16, d = 4

16,20,24,28,32,36...

Answer:

Step-by-step explanation:

To find [tex]x[/tex], we need to solve the equation

[tex]G=H[/tex]

Where [tex]G=5x+8[/tex] and [tex]H=7x-16[/tex].

Replacing expressions, we have

[tex]5x+8=7x-16\\16+8=7x+5x\\24=12x\\x=\frac{24}{12}\\ x=2[/tex]

Now, we can find the value of each expression.

[tex]G=5x+8=5(2)+8=10+8=18\\H=7x-16=7(2)-16=14-16=-2[/tex]

Answer:

x = 3/4 x 21

Step-by-step explanation:

Answer:

I believe it is #2:

x = 3/4 × 21.

Answer:

6(x+3)

Step-by-step explanation:

6x+18

6*x + 3*6

Factor out a 6

6(x+3)

Answer:

D. Apothem

Step-by-step explanation:

An Apothem is a line from the center of a regular polygon at right angles to any of its sides.

The correct describes the line the arrow is pointing to in the regular pentagon below is,

⇒ Apothem

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

A regular pentagon is shown in figure.

Now, The line is vertical line.

Hence, From the center of the pentagon to the edge is called ''Apothem.''

Therefore, The correct describes the line the arrow is pointing to in the regular pentagon below is,

⇒ Apothem

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

The right question that describes what we need to examine is that:

If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%?

Step-by-step explanation:

For hypthesis testing, it is the p-value that needs to be obtained, to know the significance of the result. It is in the definition of what the p-value stands for that one would be able to pick which question best describes what we need to determine?

The p-value is actually defined as the probability of obtaining results as extreme as the observed results in the statistical analysis provided that the null hypothesis is true.

It is the probability of obtaining the claim to be tested that is usually contained in the alternative hypothesis, provided the null hypothesis is true.

So, since the null hypothesis states that the proportion of Millennial students at their campus, that live at home with their parents = 36%

The p-value is how likely it is or the probability that more than 36% of Millennial students at their campus live at home with their parents.

Hope this Helps!!!

Answer:

70 on khan academy

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of angle ABC in the circle is: 70°.

Based on the inscribed angle theorem, in a circle, measure of central angle = twice the inscribed angle.

Angle ADC is the inscribed angle = 35°

Angle ABC is the central angle = 2(measure of inscribed angle)

Angle ABC = 2(35)

Angle ABC = 70°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

#SPJ2

Answer:

  8

Step-by-step explanation:

You want to know the number of sunflower plants (S) that can be watered along with 10 lily plants (L) if the water supply is described by ...

  0.7S +0.5L ≤ 11

Substituting 10 for L, we have ...

  0.7S +0.5(10) ≤ 11

  0.7S +5 ≤ 11

  0.7S ≤ 6

  S ≤ 6/0.7 ≈ 8.57

We want to count only plants that can be watered completely, so we need to round this number to the next lower integer.

Ezra can water 8 sunflower plants with the remaining water.

Answer:

168 cm³

Step-by-step explanation:

The base area of the oblique hexagonal prism = 42 cm²

the height of the prism = 4 cm

Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³

The volume of the oblique hexagonal prism is 260.00 cubic centimeters. This is calculated by multiplying the base area (65.00 square cm) by the height (4 cm) using the formula Volume = Base Area × Height.

To find the volume of an oblique hexagonal prism, you can use the formula:

Volume = Base Area × Height

You're given that the base area is 42 square cm and the height is 4 cm. Now, let's determine the base shape of the hexagonal prism.

A hexagon has six sides, and each side is an equilateral triangle with an edge length of 5 cm. To find the area of one of these equilateral triangles, you can use the formula:

Area of Equilateral Triangle = (side length^2 * √3) / 4

Area of Equilateral Triangle = (5 cm^2 * √3) / 4 ≈ 10.83 square cm

Since there are six identical triangles in the hexagonal base, the total base area is:

Base Area = 6 * Area of Equilateral Triangle ≈ 6 * 10.83 square cm ≈ 65.00 square cm

Now, you can calculate the volume:

Volume = Base Area × Height

Volume = 65.00 square cm × 4 cm = 260.00 cubic cm

So, the volume of the oblique hexagonal prism is 260.00 cubic centimeters.

For more questions on prism

https://brainly.com/question/23963432

#SPJ6

The test statistic for comparing men and women's attitudes towards sexual discrimination is calculated using the formula for the Z test for two proportions. You use the proportion of men and women who believe it's a problem and the totals for each group to calculate the test statistic.

The question deals with the comparison of attitudes towards sexual discrimination between men and women, using hypothesis testing for two proportions. In this scenario, the null hypothesis (H0) would state that the proportion of men (p1) who believe sexual discrimination is a problem is equal to the proportion of women (p2) who believe the same. The alternative hypothesis (H1) suggests that the proportions differ (p1 != p2).

The test statistic for two proportions is calculated as follows:

Z = (p1 - p2) / sqrt(P(1-P)(1/n1 + 1/n2))

where p1 = 11/50, p2 = 19/40, P = (11+19)/(50+40), n1 = 50, n2 = 40.

First, calculate the sample proportions:

Next, calculate the combined proportion:

Now calculate the standard error:

Finally, calculate the Z value:

After performing the calculations, you would obtain the value of the test statistic, which is needed to determine if the belief in sexual discrimination as a problem significantly differs between men and women.

https://brainly.com/question/33944440

#SPJ3

Answer:

x = [tex]x = \frac{2+r}{p-8}[/tex]

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

(2+r)/(p-8) = x

Step-by-step explanation:

-px+r=-8x-2

Add px to each side

-px+r+px=-8x+px-2

r = -8x+px -2

Add 2 to each side

2+r = px-8x

Factor out an x

(2+r) = x(p-8)

Divide each side by (p-8)

(2+r)/(p-8) = x(p-8)/(p-8)

(2+r)/(p-8) = x

Answer:

y=1.7

Step-by-step explanation:

4y+18=14.7y

18=14.7y-4y

18=10.7y

18/10.7=10.7y/10.7

1.7=y

Answer:

Prob (Exactly one die has red) = 2/9

Prob (No die has red) = 5/9

Step-by-step explanation:

Prob (Red on a die) = 2/6 = 1/3

Prob (Blue on a die) = 2/6 = 1/3

Prob (Yellow on a die) = 2/6 = 1/3

Two die rolled :-

Prob (one die has red) =

Prob (one die has read & other die has non red, blue or yellow )

= (1/3) x (2/3) = 2/9

Prob atleast one die has red = 1 - Prob (No die has red)

= 1 - Prob (both die have non red, yellow or blue)

= 1 - [ (2/3) (2/3) ]

= 1 - 4/9 = 5/9

Answer:

B?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is not a function because for every X value, there may be more than 1 corresponding Y value past 0. For instance, if you input x=1 into this function, you get both 2 and -2, which does not make this a proper function.

Answer:

The original length of the rope is 140

Step-by-step explanation:

21x (100/15)

Answer:

140

Step-by-step explanation:

.