According to the government lending institute Sallie Mae, students graduating college have an average credit card debt of $16,100 with a standard deviation of $1,294. A random sample of 28 graduating seniors was selected, and their average credit card debt was found to be $16,560. Does this sample provide enough evidence to disagree with the findings by Sallie Mae? α = 0.05. Find the critical value and the test statistic.

Answer:

243

Step-by-step explanation:

Area of a parallelogram = base length times height

The parallelogram shown has the following dimensions

height = 18 in

base length = 13.5 in

Area = B * H

* Plug in the given values *

Area = 18 * 13.5

18 * 13.5 = 243

Hence the area of the parallelogram is 243 in²

Answer:

Step-by-step explanation:

Sample space is 36C4

Now, we want to know all of the combinations that have 1 digit in it.

So, we can have one here:

1XXX

X1XX

XX1X

XXX1

But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.

Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3

Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%

Answer:

28%

Step-by-step explanation:

It is not 44%. I put that and it was wrong.

The correct classification for the triangle shown in figure is,

⇒ Isosceles triangle.

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

We have to given that;

The diagram of triangle is shown in image.

Here, Two sides of the given triangle are equal to each other.

Hence, By definition of Isosceles triangle;

The correct classification for the triangle shown is,

⇒ Isosceles triangle.

Thus, The correct classification for the triangle shown in figure is,

⇒ Isosceles triangle.

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Answer:

You forgot to say how many miles she drove

Step-by-step explanation:

Answer:

There are 4 quarts in a gallon so:

44/4 = 11

She made 11 gallons of jelly.

A quart is a unit of volume which is equal to a quarter of a gallon.

Mrs. Banks will have leftover fruits 4 lb.

A quart is a unit of volume which is equal to a quarter of a gallon.

We have,

70 lb of fruit.

One gallon of jelly needs 6 lb of fruit.

We need to make 44 quarts of jelly.

We know that,

1 quart = 0.24 gallon

Multiply by 44 on both sides.

44 x 1 quart = 44 x 0.25 gallon

44 quarts = 11 gallon

So,
We need 11 gallons of jelly to make 44 quarts of jelly.

Now,

1 gallon of jelly = 6 lb of fruits

11 gallons = 11 x 6 lb of fruits

11 gallons = 66 lb of fruits

This mean,

we need 66 lb of fruits to make 44 quarts of jelly.

We have 70 lb of jelly so there will be leftover fruits of 4 lb.

Thus Mrs. Banks will have leftover fruits of 4 lb.

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Answer:

1. Congruent

2. They are vertical angles

3. 12x-18=8x+10

4. x = 7

Step-by-step explanation:

It’s simple math for me but all the answers above should be correct...

Answer:

5,445,439

8900993-3455554=5,445,439

Answer:

-2

Step-by-step explanation:

[tex]y = - 6x \\ y = - 4x + 4 \\ then \: substitute \\ - 6x = - 4x + 4 \\ - 6x + 4x = 4 \\ - 2x = 4 \\ \frac{ - 2x}{ - 2} = \frac{4}{ - 2} \\ then \: - 2 \: cancel \: by \: - 2 \\ x = - 2[/tex]

53 + (-26 )

[tex] \: \: \: \: \: \: \: \: \: \purple{ \boxed{ \boxed{ \huge{ \tt{ \: 37 \: }}}}}[/tex]

Answer:

x Square root 5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Is the question fully attached?

Step-by-step explanation:

I dont see any numbers do you have a picture of the question?

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

12/7 is equal to 14/8 is equal to ab/cd

Answer:

D more than 3eoeoieieie

Answer:D The number of tickets is increasing by 97% each year

Step-by-step explanation:

The rate of change is (0.97). You change that decimal into a percent To get your percentage rate / increase rate...I think

Answer:

c

Step-by-step explanation:

c

Answer:

B g(x)= 1/3x^2

Step-by-step explanation:

In this question, we have that:

[tex]f(x) = x^2[/tex]

So, when [tex]x = 3, f(x) = f(3) = 3^2 = 9[/tex]

What is g(x)?

We have that [tex]g(x) = 3[/tex], when [tex]x = 3[/tex]

[tex]\frac{3}{9} = \frac{1}{3}[/tex]

This means that g is a third of f, and the correct answer is given by option B.

It is not d because the paranthesis is elevated, which means that (1/3)^2 = 1/9,

1 dozen = 12

8 dozen x 12 = 96

She has 96 golf balls

Answer:

2.2 : 1

Step-by-step explanation:

cube root 1331 : reciprocal of 0.2

give your answer in the form n:1

The cube root of 1331

(1331)^1/3 = 11

Reciprocal of 0.2 = 1 /0.2 = 5

Hence, the ratio Can be expressed as :

11 : 5

In the form n : 1

divide both sides by 5

11/5 : 5 /5

2.2 : 1

Step-by-step explanation:

the 3rd angle = 4x+17 because of vertical angles

4x+17 + x+23 + 80 = 180 sum of interior angles of a triangle

5x +40 = 100

5x = 60

x = 12

angle A = x + 23 = 12 +23 = 35

Answer:

We accept H₀ we don´t have enough evidence to support that the proportion of certain town differs from that of National Information

Step-by-step explanation:

National Information:

p = 10,3 %      p = 0,103

Sample

Sample size    n₁  = 100

x₁  = 8

p₁  = x₁/100         p₁  = 8 / 100     p₁ = 0,08 %  

q₁  =  1 - p₁       q₁  = 1  - 0,08      q₁  = 0,92

Confidence Interval  CI = 95 %   significance level  α  = 5 %   α = 0,05

z(c) for α = 0,05  from z-table is  : 1,64

Test Hypothesis:

Null Hypothesis                                       H₀       p₁  = p

Alternative Hypothesis                           Hₐ       p₁ <  p

The alternative hypothesis suggest a one tail test to the left

z(s)  =  (  p₁  - p ) √p₁*q₁ / n₁

z(s)  = ( 0,08 - 0,103 )/√ 0,08*0,92/100

z(s)  =  - 0,023 / 0,027

z(s)  = - 0,85

Comparing  z(s)   and  z(c)

z(s) > z(c)     - 0,85  > -1,64

z(s) is in the acceptance region, we accept H₀

Answer:

30+32+34

Step-by-step explanation:

so 30 would be the smallest number. Hope this helps, have a nice day!

Answer:

31

Step-by-step explanation:

Remark

The easy way to set this up is to make the smallest number x - 1. You will see why in a moment. It cuts down on one step)

Equation

(x - 1) + x + (x + 1) = 96                Remove the brackets

Solution

x - 1 + x + x + 1 = 96                   Combine like terms

3x = 96                                       Divide by 3

x = 32

Note: that is not the smallest number. Remember, the smallest number is x - 1

So the smallest number is 31

Answer:

The probability of getting two 4s is 5.55%.

Step-by-step explanation:

Since fair says is rolled four times, to calculate the probability of obtaining exactly two 4s the following calculations must be performed:

100/6 = 16.6666

0.166666 x 0.166666 = X

0.02777 = X

1 = 100

0.02777 = X

0.02777 x 100 = X

2.77 = X

2.77 x 2 = 5.55

Therefore, the probability of getting two 4s is 5.55%.

Answer:

Step-by-step explanation:

As,

[tex] {x}^{2} + 3x + {2x}^{2} + 8[/tex]

Here,

[tex] {x}^{2} \: and \: {2x}^{2} [/tex]

Will get added as they both have same variable.

Hence,

[tex] {3x}^{2} + 3x + 8(ans)[/tex]

Answer:

Step-by-step explanation:

(3x+1)(x-3)-(2-2x^2-3x)

3x^2+x-9x-3-2+2x^2+3x

3x^2+2x^2+x-9x+3x-3-2

5x^2-5x-5

the constant term in the simplified expression is -5.

Answer:

A. The official highest recorded temperature is now 56.7°C (134°F), which was measured on 10 July 1913 at Greenland Ranch, Death Valley, California, USA

B. 2e=2.4

A. The lowest natural temperature ever directly recorded at ground level on Earth is −89.2 °C (−128.6 °F; 184.0 K) at the Soviet Vostok Station in Antarctica on 21 July 1983 by ground measurements.

B. 6.NS.C.8

A. The greatest temperature change in 24 hours occurred in Loma on January 15, 1972. The temperature rose exactly 103 degrees, from -54 degrees Fahrenheit to 49 degrees. This is the world record for a 24—hour temperature change.

B. The red line shows the highest high temperature and the blue line shows the lowest high temperature recorded for each date. The lowest high temperatures represent the hottest part of the coolest day that occurred on each date

Step-by-step explanation:

Hope this helps! Brainlest??

#a

Warmest temperature 28°C.

#b

T be temperature

inequality is

#c

Coldest Temperature -2°C

#d

All of the outside angles added together are 360 so it would be 7x+49+6x+33+83=360

13x+165=360

13x=195

x=15