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2 years ago

Given the graph below, find PQ

Guest

1 year ago

I’m on partitioning a line segment and I can’t seem to figure out how to do it. Given EF with E(-7,4) and F(-4,5), if G lies on EF such that the ratio of EG to GF is 1:2,find the coordinates of G.

1 answer:

Neporo4naja [7]2 years ago

5 0

Answer:

(-5, -1) = P (2, -5) = Q

Step-by-step explanation:

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Tom buys a torch and a battery.

nevsk [136]

Answer:

battery costs: 0.39...............

8 0

1 year ago

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

Gelneren [198K]

Answer:

$P(X < 24 )= 21.186\%$

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

6 0

1 year ago

A trampoline salesman makes $25,000 annually plus 6% commission on his total sales. If he sold $40,000 worth of trampolines this

Katarina [22]

Multiply sales by 6%

40,000 x 0.06 = 2,400

Add that to his base pay:

2400 + 25000 = $27,400 total pay.

5 0

1 year ago

Which graph represents the compound inequality? –3 < n < 1

Alinara [238K]

<span>the graph that represents the compound inequality –3 < n < 1 is the straight line from -3 to 1 in which there is a hollow circle in the -3 point and in the 1 point. This is because < means that the possible values of n is only greater than -3 exluding -3 and less than -1 excluding -1</span>

6 0

1 year ago

Read 2 more answers

PATS, PETE AND KOFFI ANNUAL SALARIES AGGREGATE TO 200,000.00 A YEAR PETE MAKES $11000.00 MORE THAN KOFFI AND PAT MAKES $1000.00

grandymaker [24]

Answer:

Koffi's monthly salary: $3500 ($42000 annually)

Pete's monthly salary: $4416.7 ($53000 annually)

Pat's monthly salary: $8750 ($105000 annually)

Step-by-step explanation:

Let x represent Pat's annual salary

Let y represent Pete's annual salary

Let z represent Koffi's annual salary

According to the question, their annual salaries sum up to$200000 i.e. x + y + z= $200000

Pete makes $11000 more than Koffi anually means that y = $11000 + z

Pat makes $1000 less than twice (×2) of Pete's annual salary i.e. x = 2y - $1000

Hence, we have 3 equations:

(1)..... x + y + z= $200000

(2).... y = $11000 + z

(3).... x = 2y - $1000

First, we substitute y into equation (3) i.e.

x = 2(11000 + z) - 1000

x = 22000 + 2z - 1000

x = 21000 + 2z............ (4)

We then insert equations (4) and (2) into equation (1) to get z:

x + y + z = 200000

21000 + 2z + 11000 + z + z = 200000

4z + 32000 = 200000

4z = 200000 - 32000

4z = 168000

z = 42000

Hence, z (Koffi's) annual salary is $42000.

To get y, we substitute z in equation (2).

y = 11000 + z

y = 11000 + 42000

y = 53000

Hence, y (Pete's) annual salary is $53000

To get x, we add $42000 with $53000, and subtract from $200000 i.e. 42000 + 53000 = 95000

200000 - 95000 = 105000

Hence, x (Pat's) annual salary is $105000.

In order to get the monthly salary of each individual, we divide their annual salary by 12:

Koffi (z) = 42000/12 = $3500

Pete (y) = 53000/12 = $4416.7

Pat (x) = 105000/12 = $8750

4 0

1 year ago