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Mrrafil [7]
3 years ago
15

Which statement explains how you can use a number line to determine the number that is 4 more than –9?​

Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0

If a number x is something more than another number y, it means that you can obtain x by adding something to y.

So, if we want to get 4 more than -9, it means that we must add 4 to -9: the number you're looking for is

-9+4=-5

On a number line, bigger numbers lie on the right, so if you start from -9 you should take 4 steps to the right, and you'll land on a number which is 4 more than -9.

maw [93]3 years ago
4 0

Answers.

In a number line system addition mean movement to the right will subtraction is movement to the left which simply implies the bigger numbers lie on the right and the smaller number to the left,

so in the case above starting from -9 you should take 4 steps to the right, and you'll land on a number which is 4 more than -9 which is -5.

-9 + 4 = -5

Check the attachment for illustration

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Answer:

The probability that at most 1 car will require major engine repair next year is P=0.3392.

Step-by-step explanation:

This can be modeled as a binomial random variable, with n=22 and p=0.1.

The probability that exavtly k cars will require major engine repair next year is:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}

Then, the probability that at most 1 car will require major engine repair next year is:

P(x\leq1)=P(x=0)+P(x=1)\\\\\\P(x=0) = \dbinom{22}{0} p^{0}(1-p)^{22}=1*1*0.0985=0.0985\\\\\\P(x=1) = \dbinom{22}{1} p^{1}(1-p)^{21}=22*0.1*0.1094=0.2407\\\\\\P(x\leq1)=0.0985+0.2407\\\\P(x\leq1)=0.3392

3 0
3 years ago
A table costs $350. There is also a sales tax of 7%. How much does the table cost, including sales tax?
IrinaVladis [17]
Tax
$350x0.07
=$24.50

(0.07 is the 7% tax in decimal form)

Total cost
$350+$24.50
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OR

$350x107%
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1.07 is the table cost (100%) plus the sales tax (7%)

The table costs $374.50 with tax.


7 0
3 years ago
Read 2 more answers
What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t
agasfer [191]

Answer:

  \boxed{90}\,\text{units$^2$}

Step-by-step explanation:

The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:

  Area = (Base)(Height) = (18 units)(5 units) = 90 units²

4 0
3 years ago
What is the vertex form, f(x) = a(x - h)2-k, for a parabola that passes through the point (2,8) and has (1,0) as its
Novay_Z [31]

Answer:

Step-by-step explanation:

hello :

f(x) = a(x - h)²-k   ....vertex form  when the vertex is : (h,k)

h=1  and  k=0   so : f(x) = a(x-1)²

a parabola that passes through the point (2,8) : f(2)=8

a(2-1)² =8

a= 8

f(x) = 8(x-1)²=  8(x²-2x+1)

f(x) 8x²-16x+8   .....standard form

3 0
3 years ago
Expression equivalent?<br>8x2 - 5x + 3x(4 - 2x)​
aleksklad [387]

Answer:

Step-by-step explanation:

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= 8x² - 5x + 12x - 6x²

Now add the like terms

= 8x² - 6x² - 5x + 12x

= 2x² + 7x

5 0
3 years ago
Read 2 more answers
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