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MA_775_DIABLO [31]

2 years ago

14

sally and mabel had the same number of cards at first. after sally sold 18 of her cards, mabel had four times as many cards as s

ally. how many cardsdid each girl have at first?

1 answer:

nika2105 [10]2 years ago

4 0

If Sally sold 18 cards leaving Mabel with 4 times as many you would get the answer by multiplying 18 by 4 getting the answer 72.

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A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.00 cm into t

Svet_ta [14]

Answer:

$F_w=9408\ N$

Weight of the truck=9408 N

Step-by-step explanation:

Boat is experiencing the buoyant force as it is in the water and is sinking

According to the force balance in y direction. As both is floating, two forces balance each other:

$F_b-F_w=0$

where:

$F_b$ is the buoyant force

$F_w$ is the weight=mg

$F_b=F_w$ Eq (1)

Buoyant force is equal to the mass of water displaced * gravitational acceleration.

$F_b=m_{water\ displaced}*g\\F_b=\rho Vg\\$

Taking density of water to be 1000 Kg/m^3

$F_b=1000*(6*4*4*10^{-2})*9.8\\F_b=9408 N$

From Eq(1):

$F_w=9408\ N$

Weight of the truck=9408 N

6 0

2 years ago

The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking

Anna [14]

Answer:

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 160, \pi = \frac{14}{160} = 0.088$

88% confidence level

So $\alpha = 0.12$ , z is the value of Z that has a pvalue of $1 - \frac{0.12}{2} = 0.94$ , so $Z = 1.555$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 - 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.053$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 + 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.123$

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

6 0

2 years ago

17. It takes one minute to fill (3/7) th of a vessel. What is the time taken in

Vinil7 [7]

Answer:

Given that 1minute =3/7of the vessel

let the time taken in minutes to fill the whole of the vessel be' x' minute.

1min =3/7

xmin =whole vessel =1=7/7

=3x/7=1=x=7/3=2.3min=2min.3sec

8 0

2 years ago

Suma a 10 numere naturale nenule pare este 108.aratati ca doua dintre numere sunt egale

Elenna [48]

Your answer that you are looking for is 108.

5 0

2 years ago

The expression 10,785(1.0275)x represents the amount of money in an investment account with interest that compounds annually for

Ksivusya [100]

Answer: It shows the formula for "Amount" using the compound interest formula.

Step-by-step explanation:

Since we have given that

The expression :

$10785(1.0275)^x$

So, it can be rewritten as

$10785(1+0.0275)^x\\\\=10785(1+\dfrac{2.75}{100})^x$

Here, initial investment = $ 10785

Rate of interest = 2.75%

Number of years = x

So, it shows the formula for "Amount" using the compound interest formula.

3 0

2 years ago