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The larger number is 67 while the smaller number will be 19 for the given condition.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

Suppose the larger number is x while the smaller number is y.

Sum will be as x + y = 86

The larger number is nine less than four times the smaller number.

x = 4y - 9

By substitution,

4y - 9 + y = 86

5y = 95

y = 19

x = 86 - 19 = 67

Hence "For the specified condition, the greater number is 67 and the smaller number is 19".

For more about the number system,

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Answer:

The answer will b -4p

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Use the sine function.

sine = opposite side of triangle divided by the hypotenuse.

Here is the set up:

sin(50°) = BC/3

sin(50°)/3 = BC

Use your calculator to simply left side.

Take it from here.

Answer:

500

Step-by-step explanation:

Answer: 18

Explanation: 18 times 2.5 is 45. 45 +18=63

Answer:

the answer would be 25 because to get the answer you would take 63 and divide it by 2.5 and you will get 25.2 then rounding it to the nearest 10th would be 25

then after you get 25 you would put it into the equation 2.5(x) = 63 which would be 2.5(25)=63. that it y 25 would be the correct answer.

Hope this helped

Answer:

We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon

Pvalue = - 2

(0.98626 ; 1.00174)

Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.

Step-by-step explanation:

H0 : μ= 1

H1 : μ < 1

The test statistic :

(xbar - μ) / (s / sqrt(n))

(0.994 - 1) / (0.03/sqrt(100))

-0.006 / 0.003

= - 2

The Pvalue :

Pvalue form Test statistic :

P(Z < - 2) = 0.02275

At α = 0.01

Pvalue > 0.01 ; Hence, we fail to reject H0.

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 99% confidence level = 2.58

Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774

Confidence interval :

0.994 ± 0.00774

Lower boundary = (0.994 - 0.00774) = 0.98626

Upper boundary = (0.994 + 0.00774) = 1.00174

(0.98626 ; 1.00174)

Answer:

V = 260.2 m^3

Step-by-step explanation:

The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.

In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3

Answer: 262

...........................

Answer:

The degrees of freedom is 6 for the chi square independence test.

Step-by-step explanation:

This is test hypothesis of independence. The test statistic under H0 is

χ²= ∑ (O - E)²/ E

where O is the observed and E is the expected frequency

which  has an approximate chi square distribution with ( r-1) (c-1) degrees of freedom, where r= rows and c= columns.

Here there are 4 rows and 3 columns

Hence the degrees of freedom will be

( 4-1) ( 3-1)= 3*2= 6

[tex](x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9[/tex]

Answer:

x= 2.432

Step-by-step explanation:

Answer:

1) True

2)False

3)True

Step-by-step explanation:

Answer:

I believe it would be 63 because the phone costs 90 dollars originally but with the discount being 30% (90 multiply 0.3) and you get $27. However then you gotta then subtract (90-27) to get 63.

Answer:

[tex]\tt{}b. \: 3x + 7 [/tex]

Step-by-step explanation:

[tex]\tt{} \frac{(3 {x}^{2} + 4x - 7) }{(x - 1)} [/tex]

[tex]\tt{} \frac{{3x}^{2} + 7x - 3x - 7}{x - 1}[/tex]

[tex]\tt{} \frac{x \times (3x + 7) - (3x + 7)}{x - 1} [/tex]

[tex]\tt{} \frac{(3x + 7) \times (x - 1)}{x - 1} [/tex]

[tex]\tt{}3x + 7[/tex]

Answer:

One rose bush costs $6

One pot of ivy costs $5

Step-by-step explanation:

Set up an equation:

Variable x = cost of rose bushes

Variable y = cost of pots of ivy

3x + 3y = 33

12x + 4y = 92

I will use substitution to first solve for x:

3y = 33 - 3x

Divide both sides by 3

y = 11 - x

Substitute y value for 11 - x:

12x + 4(11 - x) = 92

Use distributive property

12x + 44 - 4x = 92

Combine like terms

8x + 44 = 92

8x = 48

Divide both sides by 8

x = 6

Solve for y by plugging in 6 for the x value:

3(6) + 3y = 33

18 + 3y = 33

3y = 15

Divide both sides by 3

y = 5

Check work:

3(6) + 3(5) = 33

18 + 15 = 33

33 = 33

Correct

Answer:

Answer 4. (5 1/3 hours)

Step-by-step explanation:

240/45=5.333333333

Answer:

4. 5 1/3 hours

Step-by-step explanation:

Mike's music:

y = 45x

Tim's Tunes:

y = 80 + 25x

Mike's music:

y = 45x

240 = 45x

x = 240/45

x = 5 1/3

Answer:

what grade is this?

Step-by-step explanation:

Answer:

-5-1

Step-by-step explanation:

Answer:

Agree with u98888888888

Answer:

i agreee

Step-by-step explanation:

Answer:

I think the interquartile range is 2.5

Step-by-step explanation:

Interquartile range = Q3-Q1.

Answer:

21cm

Step-by-step explanation:

A=(b*h) /2-->h=(2*A)/b-->

h=(2*273)/26-->

h=21 cm

Answer:

9.2 ([tex]\sqrt{85[/tex][tex]\sqrt{85}[/tex])

Step-by-step explanation:

square root of (8-(-1))^2 + (2-4)^2) which is square root of 85 which is approximately 9.2 rounded to the nearest tenth

Answer:

9.2

Step-by-step explanation:

Answer:

C) P (X2 ≤ 8.2) = 0.96

Step-by-step explanation:

P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.

Answer:

P(χ2≥8.2)=0.04

Step-by-step explanation:

Just took the test. This was correct

The answer is  4.25 miles

Answer:

True

True

False

False

Step-by-step explanation:

Not absolutely positive, but I believe this is correct.

Answer:

84

Step-by-step explanation:

First you need to find the area of the square. You have to multiply 4x10 which is 40. So now you have to find the area of the triangle. To do that you have to use this equation base x Height/2. Basically 6 times 3.5 is 21/2 so its 10.5. Since you have 2 triangles you can just multiply by 2 which is 42 so 42 + 42 is 84

Answer:

66p

Step-by-step explanation: remove the parenthesis then multiply 6 x 11p = 66p

Answer:

Step-by-step explanation:

x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3

[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]

[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]

=2.75