a university is interested in promoting graduates of its honors program by establishing that the mean gpa of these graduates exceeds 5.50. a sample of 37 honors students is taken and is found to have a mean gpa equal to 5.60. the population standard deviation is assumed to equal 4.0. the parameter to be tested is?

Answer:

All parallelograms have opposite sides that are parallel.

Step-by-step explanation:

A parallelogram is a non-self-intersecting quadrilateral with two pairs of parallel sides.

Answer: 19 feet

Step-by-step explanation:

The area, 266, divided by the width, 14, equals to 19 feet.

The statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'  is True

In this question we have been given a statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'

We need to state whether the statement is True or False.

We know that the sampling distribution of the sample mean is the probability distribution of all possible values of the random variable x that are computed from a sample of size n.

Also if a random variable X is normally​ distributed, the distribution of the sample​ mean, x overbarx​, is normally distributed.

Therefore, given statement is True.

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Answer:4

Step-by-step explanation:

Answer: Approx. 0.375 cups of sugar

Step-by-step explanation:

1/4=0.25

0.25 cups of sugar per 48 cookies = 0.25/48= (about) 0.00520833333 per cookie

0.00520833333 cups of sugar x 72 cookes= 0.375 cups of sugar for 72 cookies

The answer of the function  f(x)=7(3-x)+5 is -7x + 26.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

Given the function;

f(x)=7(3-x)+5

To simplify the function:

First, solve parenthesis,

f(x)=21 - 7x +5

Taking, constant with constant term,

f(x) = -7x + 26

Therefore, the answer is  -7x + 26.

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The equation 4(t + 25) = 4(t + 50) - 4(0.15t) can be solved as explained below to determine the value of t, which is t = 166.67.

If we are given the equation, 4(t + 25) = 4(t + 50) - 4(0.15t), to find the value of the variable t, follow the steps explained below.

4(t + 25) = 4(t + 50) - 4(0.15t) [given]

Open the parentheses by applying the distributive property:

4t + 100 = 4t + 200 - 0.6t

Combine like terms:

4t + 100 = 3.4t + 200

4t - 3.4t = -100 + 200

0.6t = 100

Divide both sides by 0.6

0.6t/0.6 = 100/0.6

t = 166.67

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Answer: $23.40

Step-by-step explanation:

To find out how much Olivia spent on the bracelet, we need to subtract the cost of the sunglasses from the total amount spent. In this case, that would be $39.75 - $16.35 = $<<39.75-16.35=23.40>>23.40. Therefore, Olivia spent $23.40 on the bracelet.

Answer:

9

Step-by-step explanation:

63 divided 7=9

Answer:

52

Step-by-step explanation:

Order of Operations says to do Parenthesis first, then exponents.

8 x 3²- (14+ 6)

= 8 x 3²- (20)

= 8 × 9 - 20

Then multiply before subtracting in this question.

= 72 - 20

= 52

The probability of experiencing only nausea is 0.06.

Using Venn Probabilities, it is found that there is a 0.45 = 45% probability of experiencing neither of the side effects.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

P(N∪D) = P(N) + P(D) - P(N∩D)

In this problem, the probabilities given are:

P(N)= 0.2 , P(D)= 0.45 , P(N∩D) = 0.14

The "at least one" probability is:

P(N∪D) = 0.20 + 0.45 - 0.14 = 0.51

Hence, the "neither" probability is:

1 - P(N∩D) = 1 - 0.51 = 0.49

The probability of experiencing only nausea = P(nausea) - P(both side effects)

                                                                           =0.20 - 0.14

                                                                            =0.06

0.49 = 49% probability of experiencing neither of the side effects.

The probability of experiencing only nausea is 0.06.

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The value of x and z are [tex]4^\circ, 96^\circ[/tex].

Now from the picture I can say that, [tex]\angleAOB[/tex][tex]\angle AOB[/tex] and [tex]\angleCOD[/tex][tex]\angle COD[/tex] are opposite angles.

We know the measure of the triangle are equal in Pair.

So we have got the equation as -

[tex]10x+44=13x+32[/tex]

⇒[tex]13x-10x=44-32[/tex]

⇒3x=12

⇒x=4.

We have got that the measure of [tex]\angle AOB, \angle COD[/tex] are both [tex]84^\circ[/tex].

Now angles around a point add to [tex]360^\circ[/tex].

So, [tex]\angle AOD[/tex] and [tex]\angle BOC[/tex] are equal since they are pairwaite wisw.

Now, [tex]z+z= 360^\circ - (84^\circ+84^\circ)[/tex]

⇒[tex]2z=192^\circ[/tex]

⇒ [tex]z=96^\circ[/tex],

Hence we have got the value of x and z i.e. 4 and 96.

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Answer:

The greatest place value of a number is the first non-zero digit on the left in that number.

The final answer is that the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order is 1.54.

This is calculated by probability of independent events.

We know that any die can get any of the six sides and all the throws are independent, so their intersection is given by the product.

So, P(A and B occurring together )= P(A)P(B) if A and B are independent.

And the probability of the throws i.e. the no. of ways every throw gets a unique number is (6/6) x (5/6) x (4/6) x (3/6) x (2/6) x (1/6)

This is because, being the probability of independent events , they are multiplied.

so, the total probability is 6.5.4.3.2.1/6^6 = 1.54

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The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.

What is a rectangular Prism ?

A polyhedron with two congruent and parallel bases is known as a rectangular prism. It's also known as a cuboid.

A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It's called a prism because of its cross-section along its length.

It is given that length of the rectangular prism has length of 2 cm more than  the width and 3 cm less than the depth

Let the depth be x cm

and width be y cm

Then the length will be y+2 cm and x-3 cm

y+2 = x- 3

x = y+5

A rectangular prism is a cuboid with six faces

Volume of a rectangular prism can be written as

length * width * depth

= (y+2) *x*y

= (y+2)* (y+5)*y

= (y²+2y)(y+5)

= y³ +5y²+2y²+10y

= y³ +7y² +10y cm³

Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.

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Answer:

we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

FV = PV(1 + r/n)^(nt)

where:

FV is the future value (in this case, the amount Santiago wants to save, $75000)

PV is the present value (the amount Santiago needs to deposit every six months)

r is the annual interest rate (4.8% in this case)

n is the number of times the interest is compounded per year (semi-annually, or 2 times per year in this case)

t is the number of years Santiago is saving for (8 years in this case)

Rearranging the formula to solve for PV, we get:

PV = FV / (1 + r/n)^(nt)

Plugging in the values from the problem, we get:

PV = $75000 / (1 + 0.048/2)^(2*8)

Thus, we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

The original price is $171.59 and the price during sales is $148.37 then the percent markdown will be 13.53%.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Original selling price = $171.59

Price during sales = $148.37

Then, the percentage markdown will be,

% markdown = (171.59 - 148.37)/171.59 × 100

= 23.22/171.59 × 100

% markdown = 13.53%

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The proof that AB = CD in the concentric circles is shown below

From the question, we have the following parameters that can be used in our computation:

The concentric circles

This means that the circles have the same center

From the circles, we have the following congruent lines

AC = BD

Subtract BC from both sides of the equation

So, we have the following representation

AC - BC = BD - BC

Evaluate the difference

This gives

AB = CD

Hence, it is true that AB = CD

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Answer:

Hope it will help you...

Answer:

greater part = Rs.81

smaller part = Rs.59

Step-by-step explanation:

Solution:

Let the greater part be x and smaller part be (140 - x)

Acccording to question,

or, 2x+15 = 3(140 - x)

or, 2x+15 = 420-3x

or, 2x+3x = 420-15

or, 5x = 405

or, x = 405÷5

x = 81

Therefore, the greater part = x = 81

the smaller part = (140-x) =(140-81) = 59

Answer:

y=a -bx^2

-bx^2 = y-a

bx^2 = a-y

x^2 = (a-y)/b

x = + or - sqr[(a-y)/b]

The expression is simplified to give 9 and 3 over 6. Option C

A fraction can be defined as the part of a whole element or any number of equal parts.

The several types of fractions includes;

From the information given, we have that;

Now, substitute the mixed fractions

- 2 1/6 - ( 7 1/3)

convert to improper fractions

-13/6 - ( 22/3)

expand the bracket, we have;

- 13/6 -  22/3

Find the lowest common multiple

-13 - 44 /6

Add the numerators

57/6

9 3/6

Hence, the value is 9 3/6

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Answer:

Step-by-step explanation:

409/5 is 1/8. then 81.8 and then check by multiplying 81.8 by 5 and that equals 409.

The equation that gives the relationship between cost (c) and area (a) is c = 2a

A variation is a relation between a set of values of one variable and a set of values of other variables

Given that: the cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet

We can write:

c α a

c = ka

where k is the constant of proportionality

since c = $3,000 and a = 1500

c = ka

3000 = 1500k

k = 3000/1500

k = 2

Thus, the equation of the relationship is c = 2a

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For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.

What is functions graphed?

What Does Graphing Functions Mean? Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function. As an illustration, the graph below depicts the linear function f(x) = -x+ 2.

From this, we can see that the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

Also a graph of the system can be seen at the end of this answer.

Here our system is:

y = 3

x + y = 4

The first one is a horizontal line at y = 3.

The second can be rewritten as:

y =  -x + 4

So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)

Then the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

The graph can be seen below

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Answer: starting from 0: 132. starting from 10: 162

Step-by-step explanation:

Slope of the line is .[tex]\frac{-4}{3}[/tex]

Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. As opposed to the net change in the x coordinate, the net change in the y coordinate is y.

y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

A line's slope is a measurement of how steep it is or the direction it is going in relation to a coordinate system.

where m is the slope and m = y/x

Take notice that tanФ = y/x.

This tanФ is often referred to as the line's slope.

The given equation is of the form [tex]ax+by=c[/tex]

On comparing we can say that a is -8 and b is -6

So using the slope formula [tex]\frac{-A}{B}[/tex] we get slope as [tex]\frac{4}{-3}[/tex]

The perpendicular line slope can be found out by equation [tex]m1.m2=-1[/tex]

Therefore substituting slope from the above as m1 we get m2 = [tex]\frac{3}{4}[/tex]

Slope of the line is .[tex]\frac{-4}{3}[/tex]

Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]

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If the Two Lines are parallel, then the pair has no solution and is called inconsistent. This system has No Solution.

If the Two Lines are parallel, then the pair has no solution and is called inconsistent.

Given: y=3x+2

           y=3x-6

Standard equation of line is: ax+by+c=0

Here ,Two standard equations of line are: a₁x + b₁y + c₁ =0

                                                                     a₂x + b₂y + c₂=0

Compare these equation to the given equations to find out the value of a₁ ,b₁ ,c₁, a₂, b₂ ad c₂.

a₁=3 b₁=-1 c₁=2 and a₂=3 b₂= -1 c₂= -6

[tex]\frac{a_1}{a_2} =\frac{b_1}{b_2} \neq \frac{c_1}{c_2} \\\frac{3}{3}= \frac{-1}{-1}\neq \frac{2}{-6}[/tex]  ( after putting the value)

If the Two Lines are parallel, then the pair has no solution and is called inconsistent. This system has No Solution.

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According to the specified ratio , we obtain The gasoline contains 18 ounces of oil.

The fuel for a chain saw is a mix of oil and gasoline.

The ratio of ounces of oil to gallons of gasoline is 6:19.

So oil : gas = 6:19

There are 57 gallons of gasoline

⇒ oil : gas = 6:19

Let there are x gallons of ounces of oil

So x : 57 = 6:19

Convert ratio to fraction

⇒ x/57 = 6/19

Multiply both sides by 57

⇒ x = (6/19)57

⇒ x = 18

Hence, there are 18  ounces of oil in the fuel.

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X would be the number of lawns he mows. We dont know that answer.

Y would be the amount he is paid. So i think it would be

Y=35 + X

Trying my best here im not good with algebra. I know that Y goes with the 35$