Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?

Answer:

Let Elga's Age be x and Alvin's age be 3x

x + 3x = 116

4x = 116

x = 116/4

x = 29

Therefore , 3x = 3(29) = 87

Elga's Age - 29

Alvin's Age - 87

Answer:

Step-by-step explanation:

[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]

Substitute : m=3 into the given equation

[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

Answer:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Step-by-step explanation:

From the question, the correct format for the probability density function is:

[tex]fx(x ; \theta) = \left \{ {{\sqrt{\theta x}^{\sqrt{\theta}-1}}\ \ 0 \leq x \leq 1 \atop {0} \ \ \ \ \ \ \ otherwise } \right.[/tex]

where θ > 0 is an unknown parameter.

(a) The MOM estimator can be calculated as follows:

[tex]E(X) = \int ^1_0x. \sqrt{\theta} \ x^{\sqrt{\theta}-1} \ dx[/tex]

[tex]E(X) = \int ^1_0 \sqrt{\theta} \ x^{\sqrt{\theta}} \ dx[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 } ( x ^{\sqrt{\theta}+1})^1_0[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

suppose E(X) = [tex]\overline X[/tex]

Then;

[tex]\overline X = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

[tex]\dfrac{1}{\overline X} = \dfrac{\sqrt{\theta} +1 }{\sqrt{\theta}}[/tex]

[tex]\dfrac{1}{\overline X} =1 + \dfrac{1}{\sqrt{\theta}}[/tex]

making [tex]\dfrac{1}{\sqrt{\theta}}[/tex] the subject of the formula, we have:

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1}{\overline X} - 1[/tex]

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1-\overline X}{\overline X}[/tex]

[tex]\sqrt{\theta} =\dfrac{\overline X}{1-\overline X}[/tex]

squaring both sides, we have:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

b) If the observations are [tex]\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{2}[/tex]

Then,

[tex]\overline X = \dfrac{\dfrac{1}{2}+ \dfrac{1}{3}+\dfrac{1}{2}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{3+2+3}{6}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{8}{6}}{3}[/tex]

[tex]\overline X = \dfrac{8}{6} \times \dfrac{1}{3}[/tex]

[tex]\overline X = \dfrac{8}{18}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

Finally, the point estimate of the estimator [tex]\theta[/tex] is

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{1-\dfrac{4}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{\dfrac{5}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{4}{5} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Full question attached

Answer:

Paired t test

Explanation:

The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.

Answer: C D B

Step-by-step explanation:

JUST TOOK THE TEST ON ENDEGENUITYYYYY

The correct statements for using proportions to solve for missing measures are:

Ratios are fractional values representing relations between two quantities.

When two ratios are equal, they are said to be in proportion.

The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.

In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.

We analyze each statement:

∴ The correct statements for using proportions to solve for missing measures are:

Learn more about Proportions at

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Answer:

[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]

Step-by-step explanation:

Function given:

⇒f(x) = 6x - 2

Substitute 2a - 3 into the function in place of x:

⇒f(2a - 3) = 6(2a - 3) - 2

Expand bracket:

⇒f(2a - 3) = 12a - 18 - 2

Add the like terms:

⇒f(2a - 3) = 12a - 20

Answer: C

Step-by-step explanation:

For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

Answer:

The expense of 7 men for 13 days is 18,200 Rs.

Step-by-step explanation:

The expense of 14 men for 8 days = 22400

The expense of 14 men per day = 22400/8 = 2800

The expense of 1 man per day = 2800/14 = 200

The expense of 7 men per day = 200*7 = 1400

The expense of 7 men for 13 days = 1400*13 = 18200

Hope that helps :)

Answer:

C. Favorite baby name is a qualitative variable. Its values are not numerical.

Color of car is a qualitative variable. Its values are not numerical.

Storage space on a computer drive is a quantitative variable. Its values are numerical.

Electrical current is a quantitative variable. Its values are numerical.

Step-by-step explanation:

A qualitative variable is a variable that is categorical and isn't numerical.

For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale

Quantitative Variable are  variables that can be measured on a numeric scale.  Ordinal, interval and ratio scales are quantitative scales.

Storage space can be measured on a numeric scale e.g. the storage space has 400 GB

Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts

Answer:

192 square feet of material

Step-by-step explanation:

You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192

I hope this helps!

Answer:

16 x 12=192

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

b okay it b good

jwnsndm

skskxkmxxmcmc

jsjdkdjxkxxkxi

Answer:

[tex] x = \frac{1}{2} y + 3[/tex]

Step-by-step explanation:

[tex]y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}[/tex]

Answer:

12 miles

Step-by-step explanation:

60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12

Answer:

Look below

Step-by-step explanation:

9(-4) is the same as 9*(-4) so it equals -36.

-36/-3=positive 12 so ye. The answer is 12

Answer:

I hope this helps tell me if I'm correct

Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

Answer:

i would say the 2nd or 3rd on bc that is kinda confusing

Answer:

45, 90/2 equals 45. everytime you need to find it you do miles/hours

Answer:

3239.95

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

There are no two points on the same line so the answer is D

I hope this is right!

Answer: It's B

Step-by-step explanation:

Answer:

The decimal 0.9988 to a fraction is 9988/10000

Answer:

9988

_____

10,000

Step-by-step explanation:

I got it correct on test :)))

Answer:

its A (2, 1 ) → A'(- 1, 2 )

Step-by-step explanation:

took test :)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

Rotation can be stated as the circular movement over the object around the center.

here, we have,

given that,

Vertices of triangle = A(1,1) , B(3,4), C(6,3)

Triangle is rotated counterclockwise about the origin 90°.

In counterclockwise rotation (x,y) becomes (-y,x)

Then

the new coordinates of triangle are A', B', C'

A(1,1) = A'(-1,1)

B(3,4) = B'(-4,3)

C(6,3) = C'(-3,6)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

To know more about rotation

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