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3 years ago

Any help would be greatly appreciated thanks in advance

Mathematics

1 answer:

Leni [432]3 years ago

7 0

Answer:

i believe its 2

Step-by-step explanation:

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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9

QveST [7]

Answer:

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

t + o = 15 . . . . . . the sum of digits is 15

(10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

9o -9t = 9 . . . . collect terms

o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

(t +o) +(o -t) = (15) +(1)

2o = 16

o = 8

t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0

3 years ago

Which of the following formulas could be used to find the area, A, of a triangle with base b and height h?

kykrilka [37]

I hope this helps you

A=Area

b=base

h=height

A=b×h/2

A=1/2.b+1/2.h

5 0

3 years ago

Read 2 more answers

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

Svetllana [295]

H(x)=-16t^2+300

The average rate is the change in h divided by the change in t, mathematically:

r=(h(3)-h(0))/(t2-t1), in this case:

r=(-16*9+300-0-300)/(3-0)

r=-144/3

r= -48 ft/s

5 0

4 years ago

Read 2 more answers

On his first three tests, Hiram got scores of 89, 95, and 90. His final test score brought his median score to 91.5. What was I

Elena-2011 [213]

The median is the middle score, it is also the average of the two middle scores when total number is even.

original 3 scores: 89, 90, 95 ----> median = 90

with final score: 89,90,X,95 ----> median = 91.5

(90+x)/2 = 91.5
90+x = 183
x = 93

Final score was a 93.

6 0

3 years ago

The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and th

Alex777 [14]

Answer:

The correct option is b) 4.71

Step-by-step explanation:

Consider the provided information.

Test statistic for proportion: $z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}$

It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.

Therefore, $\hat p=0.15$ , p = 0.1, q = 1-0.1 = 0.9 and n = 800.

Substitute the respective values in the above formula.

$z=\frac{0.15-0.1}{\sqrt{\frac{0.1\times0.9}{800}}}$

$z=\frac{0.05}{\sqrt{\frac{0.09}{800}}}$

$z\approx4.71$

Hence, the correct option is b) 4.71

3 0

3 years ago