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Stells [14]
2 years ago
10

The expression 38d+34 factored is

Mathematics
1 answer:
djyliett [7]2 years ago
4 0
38d + 34 = 2(19d + 17)

Hope this helps.
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A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used
kykrilka [37]

Answer:

1.65 + 0.09s

Step-by-step explanation:

Given that :

Cost of speaker = $22

Cost per song = $1.25

Sales tax rate = 7.5%

Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)

Expanding the expression :

0.075(22 + 1.25s)

(0.075 * 22) + (0.075 * 1.25s)

1.65 + 0.09375s

Rounding to the nearest hundredth :

Sales tax on entire purchase :

1.65 + 0.09s

4 0
1 year ago
The hospital shop buys cereal bars in boxes of 4.
Korolek [52]
First, you divide 58 bars by 4. The answer will be 14 boxes with 2 bars remaining in the box.
8 0
2 years ago
Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.
Masja [62]

the facilitate verification is a proof of a geometric hypothesis which utilizes "summed up" indicates on the Cartesian Plane make a contention. 


The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations . 


For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem , which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.

8 0
2 years ago
Two new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes. Drug
lakkis [162]

Answer:

4.979044478499338 × 10²⁶

Step-by-step explanation:

Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.

Combination factorial is define by  ⁿCr = \frac{n!}{(n-r)!r!}

21 group of mice receiving Drug A  can be selected in ⁶⁰C₂₁ = \frac{60!}{21!39!}

(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug

Drug B 21 mice can be chosen with ³⁹C₂₁ = \frac{39!}{21!18!}

( 39 - 21 = 18)  remained for control with ¹⁸C₁₈ = \frac{18!}{18!0!}

The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = \frac{60!}{21!39!} × \frac{39!}{21!18!} × \frac{18!}{18!0!} = 4.979044478499338 × 10²⁶

8 0
2 years ago
Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para
kvasek [131]

Answer:

(a) 0.932

(b) 0.0653

(c) 0.032

(d) 0.316

(e) 0.251

Step-by-step explanation:

From the table with mean parameter μ = 5, we can compute the following cumulative and density probability

(a) P(X \leq 8) = 0.932 (cumulative)

(b) P(X = 8) = 0.0653 (density)

(c) P(9 \leq X) = 1 - P(X \leq 9) = 1 - 0.968 = 0.032 (cumulative)

(d) P(5 \leq X \leq 8) = P(X \leq 8) - P(X \leq 5) = 0.932 - 0.616 = 0.316 (cumulative)

(e) P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251

5 0
2 years ago
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