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3 years ago

5

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

Answer:

4:3

Step-by-step explanation:

The computation of the ratio of females to males is shown below

Since it is mentioned that there is 28 students in the class out of which 12 are boys

So, the females are

= 28 - 12

= 16

SO, the ratio of females to males is

16:12

4:3

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a recipe calls for 8 cups of raspberries for every 21 people how many cups of raspberries are needed for the same recipe that wi

blagie [28]

Answer:

64 cups of raspberries

Step-by-step explanation:

8=21

?=168

21/8=2.625

168 / 2.625= 64

I hope this helps :)

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3 years ago

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Jason can peel 15 potatoes in 25 minutes. Janette can peel 8 potatoes in 1/10 hour. If they start peeling at the same time how m

xenn [34]

9514 1404 393

Answer:

210 minutes

Step-by-step explanation:

Jason's rate of peeling is ...

(15 potatoes)/(25 minutes) = 15/25 potatoes/minute = 3/5 potatoes/minute

Janette's rate of peeing potatoes is ...

(8 potatoes)/(6 minutes) = 4/3 potatoes/minute

Their combined rate is ...

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Then the time required for 406 potatoes is ...

(406 potatoes)/(29/15 potatoes/minute) = (406×15/29) minutes

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6 0

2 years ago

The proof that ΔQPT ≅ ΔQRT is shown. Given: SP ≅ SR Prove: ΔQPT ≅ ΔQRT Triangle P Q R is shown. Angle P Q R is cut by a perpendi

goldfiish [28.3K]

Answer:

Answer is a

Step-by-step explanation:

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7 0

3 years ago

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A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. Assume that the vol

saw5 [17]

Answer:

The standard deviation of the voltage is $\sigma = 0.91$

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

The problem states that

Assume that the voltage is normally distributed with a mean of 0, so $\mu = 0$

A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. What is the standard deviation of voltage such that the probability of a false signal is 0.05?

We know that $P(X>1.5) = 0.05$ . This means that when $X = 1.5$ the zscore has a pvalue of 0.95. Looking at the zscore table, we have that $Z = 1.65$ . So

$Z = \frac{X - \mu}{\sigma}$

$1.65 = \frac{1.5 - 0}{\sigma}$

$1.65\sigma = 1.5$

$\sigma = \frac{1.5}{1.65}$

$\sigma = 0.91$

The standard deviation of the voltage is $\sigma = 0.91$

4 0

3 years ago

Information reference tables the lifespan of a 60-watt lightbulb produced by a company is normally distributed with a mean of 14

irinina [24]

First, we need to standardize the value 1440 and 1465 to be able to work out the z-score

$z= \frac{1440-1450}{8.5}$
$z=-1.77$

$z= \frac{1465-1450}{8.5}$
$z=1.77$

The z-scores are shown in the diagram below

To work out the probability of $-1.77\ \textless \ z\ \textless \ 177$ we can first read on the table, the probability when $P(z\ \textless \ 1.77)=0.9616$ , then we subtract this value from 1, as we are interested in the area to the right of 1.77.

$1-0.9616=0.0384$

Then the area between $z=-1.77$ and $z=1.77$ is $1-2(0.0384)=0.9232$ which is also the probability of lifespan between 1440 and 1465

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3 years ago