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Nina [5.8K]
2 years ago
13

58:11

Mathematics
1 answer:
navik [9.2K]2 years ago
7 0

Answer:

not sure of the answer cause

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Translate the sentence into an inequality.
Leto [7]

5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"

<h3>How to translate an English phrase into an algebraic equation?</h3>

Given the phrase in the question;

The sum of a number times 5 and 29 is at most -25.

First, we translate;

Let the unknown number represented by b.

  • A number times 5 ⇒ b × 5 ⇒ 5b
  • Sum ⇒ 5b + 29
  • Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25

Now we combine the terms;

5b + 29 ≤ -25

We can go and solve for the unknown number.

5b + 29 ≤ -25

Subtract 29 from both sides

5b + 29 - 29 ≤ -25 - 29

5b ≤ -25 - 29

5b ≤ -54

b ≤ -54/5

Therefore, the translation of the phrase is 5b + 29 ≤ -25.

Learn more about inequality here: brainly.com/question/20383699

#SPJ1

5 0
1 year ago
An automobile manufacturer claims that its van has a 44.3 miles/gallon (MPG) rating. An independent testing firm has been contra
natulia [17]

Step-by-step explanation:

H0: u = 44.3

Hi : u# 44.3

Z1-0.05/2

Z1-0.025

Z0.975 = 1.96

Z = x-u/s.d/√n

Z= 44.4 -44.3/2.6/√130

Z = (0.1×11.4018)/2.6

Z=0.44

Since the calcalculated value is less than the table value and does not fall in the rejection region we fail to reject the null hypothesis

7 0
3 years ago
Solve this problem ...
shusha [124]

Answer:

slope = -4/5   y-intercept = 1

Step-by-step explanation:

y = -4/5+1

3 0
2 years ago
A vendor converts the weights on the packages she sends out from pounds to kilograms (1kg approximately equals 2.2 pounds).
Alexxx [7]

Answer:

a) b) the standard deviation and the mean is affected by the conversion factor as well

c)  the mean is displaced by b units

Step-by-step explanation:

for a new variable

Y=a*X  , where a= constant (conversion factor= 1 kg/2.2 pounds)

then

p(y)= p(a*X) = p(X)

a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)

mean =μ=a*μₓ

b) σ² = ∑ (Y-μ)²* p(y) =  ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²

then

standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ

standard deviation = σ= a*σₓ

then the standard deviation and the mean is affected by the conversion factor as well

c) nevertheless for a displacement b

Y₂=X + b (b= constant= 50 gr)

p(Y₂)= p(X + b) = p(X)

then

mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -

mean =μ=μₓ - b

then the mean is displaced by b units

7 0
3 years ago
under which of the following operations are the polynomials 8a 14 and 3b - 9 not closed? a. subtraction b. multiplication c. add
Alex787 [66]
<span>I think it's a. subtraction.</span>
8 0
2 years ago
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