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2 years ago

Pls answer both.........

Mathematics

1 answer:

ivanzaharov [21]2 years ago

3 0

The value of x is 3. The correct option is the third option- 3

The width of the backyard is 9 yards. The correct option is the first option- 9 yards

<h3>Perimeter of a Rectangle </h3>

From the question, we are to determine the value of x

13.

Perimeter of a rectangle = 2 (l + w)

Where l is the length

and w is the width

From the given information,

Perimeter = 24 cm

In the given diagram,

l = 3x cm

w = 3 cm

Thus,

24 = 2(3x + 3)

24 = 6x + 6

6x = 24 - 6

6x = 18

x = 18/6

x = 3

Hence, the value of x is 3. The correct option is the third option- 3

14.

From the given information,

The width of the yard is 3 less than 4 times the length

That is,

w = 4l - 3 --------- (1)

Also,

Perimeter = 24 yards

∴ 24 = 2(l + w) ---------- (2)

Put equation (1) into (2)

24 = 2(l + w)

24 = 2(l + 4l - 3)

24 = 2(5l - 3)

24 = 10l - 6

10l = 24 + 6

10l = 30

l = 30/10

l = 3 yards

Substitute the value of l into equation (1) to get w

w = 4l - 3

w = 4(3) - 3

w = 12 - 3

w = 9 yards

Hence, the width of the backyard is 9 yards. The correct option is the first option- 9 yards

Learn more on Perimeter of a rectangle here: brainly.com/question/24571594

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Elden [556K]

Answer:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

Step-by-step explanation:

Data given and notation

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$s=0.5$ represent the sample standard deviation for the sample

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

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

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We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 4$

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

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3 years ago

Leila makes $3 in profits for every $4 that Jo makes. If their total profit on the first item sold is $105, how much profit does

rewona [7]

Lelia makes $45 in profits

Because: you first have to find what x 4= 60 (15)

then you multiply that by 3 and you get the answer

( 15x4=60- Jo's profit

15x3=45- Leila's profit)

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