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3 years ago

Complete the problems in measurements. Show answers in simplest terms.

1 answer:

5 0

1 foot 2 inches
With 8 wreaths, each taking a foot, 1 ft 4 in is left over.
There are 12 inches in a foot, so 12 + 4 = 16 inches of,ribbon left.
16inches / 8 wreaths, gives 2 extra inches per wreath.

Or, convert alll to inches.
(9*12) + 4 = 108 + 4 = 112 inches of ribbon
112/8=14 inches of ribbon. Or 1 ft 2 inches of ribbon for each wreath

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Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg,

brilliants [131]

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

The lost weight of a pair of boys is 120 kg

Reasons:

Let a, b, c, and d represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

$_nC_r = \dfrac{n!}{r! \cdot (n - r)!}$

Which gives;

$_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6$

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

The lost weight = 120 kg

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3 years ago

Read 2 more answers

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t

likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

$P =25000$ -- the principal amount

$R = 4\%$ -- the interest rate

$T=1$ --- the duration

The amount to pay back in this duration is then calculated using:

$A = P(1 + RT)$

So, we have:

$A = 25000(1 + 4\% \times 1)$

$A = 25000(1 + 4\% )$

Express percentage as decimal

$A = 25000(1 + 0.04)$

$A = 25000(1 .04)\\$

Multiply

$A = 26000$

Hence, the amount to pay back is $26000.00

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3 years ago

DESPERATE WILL GIVE BRAINLIST AND THANKS

Bezzdna [24]

Answer: Positive

Step-by-step explanation:

A scatter plot for speed and distance is created.

We know that distance = speed x time

Hence when speed increases , distance increases and similarly when speed decreases, distance decreases.

Thus if we plot on x axis distance, we find that x increases when y increases.

So we find that there is a strong positive relationship between the two variable

D=tS

where D= distance S=speed and T=time.

Since D varies directly as speed, we have positive relationship.

Hope this helps! :)

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3 years ago

In establishing warranties on HDTV sets, the manufacturer wants to set the limits so that few will need repair at the manufactur

Novosadov [1.4K]

Answer:

If the warranty limits are at 41.12 months, only 10 percent of the HDTVs need repairs at the manufacturer's expense.

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

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months. This means that $\mu = 36.84, \sigma = 3.34$ .

Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expense?

This is the value of X when Z has a pvalue of 0.90.

Looking at the z-table, we get that this is between $Z = 1.28$ and $Z = 1.29$ , so we use $Z = 1.285$ .

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

$1.28 = \frac{X - 36.84}{3.34}$

$X - 36.84 = 1.28*3.34$

$X = 41.12$

If the warranty limits are at 41.12 months, only 10 percent of the HDTVs need repairs at the manufacturer's expense.

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3 years ago

Answer this qustion plz and if get right i might give you brainlist

nata0808 [166]

Answer:

Step-by-step explanation:

SO right off the bat it cannot be c, for they do definatly change.

Next, lets find out how much they change by.

The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.

This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.

Now, the mean is already 500/4. This equals 125.

So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.

That is 500/5. This equals 100.

This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25

That is 5x more of a decrease than the mean.

SO it must be A, since the mean decreased more than the median.

6 0

3 years ago