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OLga [1]
3 years ago
11

6. To make purple gloves, a factory adds four red drops

Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0

Answer:

Step-by-step explanation:

50 gallons(8 pints/gallon) = 400 pints

400 pints(4 drops/pint) = 1600 drops red dye

400 pints(3 drops/pint) = 1200 drops blue dye

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Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of
r-ruslan [8.4K]

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

3 0
3 years ago
How do you solve for x is this triangle
asambeis [7]

Answer:

x = 3.46 units

Step-by-step explanation:

Given:

angle RQS = 60

QS = 2 units

PS = 8 units

To Find:

RS = x = ?

Solution:

In triangle QRS,

tan angle Q = RS / QS

tan 60 = x / 2

root 3 = x / 2

x = 2 root 3

x = 2 x 1.73

Therefore, x = 3.46 units

PLEASE MARK ME AS BRAINLIEST!!!

4 0
3 years ago
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
3 years ago
4/7×3/4 in simplest form
vlabodo [156]
4/7 × 3/4
(4 and 4 are cancelled )
7×3
the answer is 21
3 0
3 years ago
\\\\\\\-------!!!!!40 POINTS!!!!-----\\\\\\\\\
aleksandrvk [35]
Let's actually find the line of best fit...

m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)

m=(11*836-130*55)/(11*385-3025)

m=2046/1210  

m=93/55

b=(Σy-93Σx/55)/n

b=(55Σy-93Σx)/(55n)

b=(7150-5115)/(55*11)

b=185/55, so the line of best fit is:

y=(93x+185)/55

A)  The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.

Which means that those who do not practice at all will win about 3.36 times

B) y(13)=(93x+185)/55

y(13)≈25.34

So after 13 months of practice one would expect to win about 25.34 times.
3 0
3 years ago
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