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spayn [35]
2 years ago
8

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than

10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and
x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.
Mathematics
2 answers:
Nataly_w [17]2 years ago
5 0

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

g100num [7]2 years ago
4 0

Answer:

B, C, E

Step-by-step explanation:

You might be interested in
Traffic speed: The mean speed for a sample of cars at a certain intersection was kilometers per hour with a standard deviation o
aliina [53]

Answer:

Step-by-step explanation:

Hello!

X₁: speed of a motorcycle at a certain intersection.

n₁= 135

X[bar]₁= 33.99 km/h

S₁= 4.02 km/h

X₂: speed of a car at a certain intersection.

n₂= 42 cars

X[bar]₂= 26.56 km/h

S₂= 2.45 km/h

Assuming

X₁~N(μ₁; σ₁²)

X₂~N(μ₂; σ₂²)

and σ₁² = σ₂²

<em>A 90% confidence interval for the difference between the mean speeds, in kilometers per hour, of motorcycles and cars at this intersection is ________.</em>

The parameter of interest is μ₁-μ₂

(X[bar]₁-X[bar]₂)±t_{n_1+n_2-2} * Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }

t_{n_1+n_2-2;1-\alpha /2}= t_{175; 0.95}= 1.654

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{134*16.1604+41*6.0025}{135+42-2} } = 3.71

[(33.99-26.56) ± 1.654 *(3.71*\sqrt{\frac{1}{135} +\frac{1}{42} })]

[6.345; 8.514]= [6.35; 8.51]km/h

<em>Construct the 98% confidence interval for the difference μ₁-μ₂ when X[bar]₁= 475.12, S₁= 43.48, X[bar]₂= 321.34, S₂= 21.60, n₁= 12, n₂= 15</em>

t_{n_1+n_2-2;1-\alpha /2}= t_{25; 0.99}= 2.485

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{11*(43.48)^2+14*(21.60)^2}{12+15-2} } = 33.06

[(475.12-321.34) ± 2.485 *(33.06*\sqrt{\frac{1}{12} +\frac{1}{15} })]

[121.96; 185.60]

I hope this helps!

3 0
2 years ago
A worker has a base pay of $20 per hour, gets $3 more per hour after 8 hours, and gets $4 more
GalinKa [24]

Answer:

177 $

Step-by-step explanation:

20 x8 = 160

3x3= 9

4x2=8

8+9+160= 177

6 0
2 years ago
If CX = 5 units, then DZ = ___ units
gulaghasi [49]

Answer:

DZ=4\ units

Step-by-step explanation:

we know that

If CD is parallel to XZ

then

Triangle XYZ is similar to Triangle YCD

therefore

The ratio of their corresponding sides are equal

\frac{XY}{CY}=\frac{ZY}{YD}

we have

CX=5\ units, CY=25\ units, YD=20\ units,

XY=CX+CY

XY=5+25=30\ units

ZY=YD+DZ

ZY=20+DZ

substitute the values

\frac{30}{25}=\frac{20+DZ}{20}

20\frac{30}{25}={20+DZ}

24={20+DZ}

DZ=4\ units

5 0
2 years ago
Read 2 more answers
alon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of wee
soldier1979 [14.2K]
700 - 175 is equal to 525 when you divide that by 35 you get 15 which is your answer.
6 0
2 years ago
Read 2 more answers
Hadi earned $120.00 from his job yesterday. Today he expects to earn 15% less than yesterday and tomorrow he expects to earn 15%
alexira [117]
Yesterday Hadi earned: $120

Today he will earn: $120*85% = $102
(You times the amount yesterday by 85% because you want to find the 15% less of 100% of the amount he's earned yesterday. Therefore, to find 15% less than yesterday you multiply it by 85% (100% - 15%) )

Tomorrow he will earn: $102*115% = $117.30
(Same thing here, however you are finding 15% more than 100% today. Therefore, you multiply the amount he earned today it by 115% (100% + 15%) )

To find the amount he earns for the three days you must add the amount earned of yesterday, today and tomorrow earned from the working above.

Therefore, Hadi expects to earn:
Yesterday + Today + Tomorrow = 120 + 102 + 117.30 = $339.3


3 0
2 years ago
Read 2 more answers
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