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3 years ago

a rectangle has a length of 11 feet and the perimeter of 38 feet. what the width in feet of the rectangle

2 answers:

6 0

If p= 38
You need four sides to equal that
11 is length so that means two sides are 11
11+11= 22
So that means you need two more equal numbers that will finish making up the 22
38-22= 16
But two sides make up 16
16 divides by 2 is 8
So THE WIDTH IS 8

kobusy [5.1K]3 years ago

3 0

The perimeter of a rectangle is the boundary of a rectangle.
38 = 11 + 11 + ? + ?
16 = ? + ?
Each side added up equals 16. Since the sides are congruent, each side equals 8 feet! :)

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B) The cost price of an article was Rs 4000.Find the marked price of the

sweet [91]

Answer:

Market price = Rs. 6,000

Step-by-step explanation:

Given:

Cost price = R.s 4,000

Profit after discount = 20%

Discount = 20%

Find:

Market price

Computation:

Sales price = Cost price[1+Profit after discount]

Sales price = 4,000[1+20%]

Sales price = 4,800

Market price = Sales price[100/(100 - Discount)]

Market price = 4,800[100/(100 - 20%)]

Market price = Rs. 6,000

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3 years ago

Last year the highest temperature in a city was recorded as 23ºC, and the lowest temperature was recorded as -10ºC. How many deg

DerKrebs [107]

33 degrees C

Step-by-step explanation:

On the integer scale, the numeric values can be added thus

23 to -10

23 to 0 and 0 to -10

23-0 = 23

0 -(-10) = 10

23 + 10 = 33

Thus, 33 degree C is the difference between the two temperatures.

5 0

3 years ago

Some research suggests that police officers are more likely to make an arrest in the presence of bystanders. If mentally disorde

zmey [24]

Answer:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

$p_v =P(t_{(19)}>1.638)=0.0589$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.03$ represent the sample mean

$s=9.42$ represent the sample standard deviation

$n=20$ sample size

$\mu_o =3.58$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 3.58 :

Null hypothesis: $\mu \leq 3.58$

Alternative hypothesis: $\mu > 3.58$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since is a right tailed test the p value would be:

$p_v =P(t_{(19)}>1.638)=0.0589$

Conclusion

7 0

3 years ago

Not sure how to do this.

Rufina [12.5K]

Answer:

200π

Step-by-step explanation:

Surface area is abbreviated to SA

TOTAL SA of cone = Base area + πrl

Base area = πr² = π x 8² = 64π

Curved SA = πrl = π x 8 x l

to work out l, use pythagoras theorem: √(15)² + (8)² = 17

so, curved SA = π x 8 x 17 = 136π

Total SA of cone = 64π + 136π = 200π

8 0

3 years ago

3x=6y-3 (table of values)

Talja [164]

Answer:

The image I put is the answer.

Step-by-step explanation:

8 0

2 years ago