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BaLLatris [955]
2 years ago
14

There were 20 pumpkins in a garden. One fourth of the pumpkins were too small, one tenth were too large, and one half were just

the right size. The rest were not ripe yet. How many of the pumpkins were too small?
Mathematics
2 answers:
rosijanka [135]2 years ago
7 0

Answer:

5 pumpkins

Step-by-step explanation:

It is said that one fourth of the pumpkins is too small, so:

\frac{pumpkins-that-are-too-small}{total-amount-of-pumpkins}=\frac{1}{4}

This means one out of every four pumpkins is too small.

But we have a total of 20 pumpkins, not four, so we just need to multiply our real total amount of pumpkins with the ratio given and then we find the amount of pumpkins that are too small:

\frac{pumpkins-that-are-too-small}{total-amount-of-pumpkins}*total-amount-of-pumpkins

=pumpkins-that-are-too-small

So; filling in the numbers:

\frac{1}{4} *20 = \frac{1*20}{4}=\frac{20}{4}=5

Monica [59]2 years ago
5 0

Answer: 5 pumpkins

Step-by-step explanation:

      Since one-fourth of the pumpkins were too small, we will find one-fourth of 20 by dividing, then multiplying.

One fourth = \frac{1}{4} = 0.25

20 * 0.25 = 5

           5 pumpkins were too small.

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Solve the system of linear equations by substitution.<br><br> y = 2x + 8<br> y = -2x
posledela

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

6 0
2 years ago
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there is a line includes the point (0,4) and has a slope of 7 what is its equation in slope-intercept form
Oliga [24]

Answer:

y=7x+4

Step-by-step explanation:

slope- intercept form is y=mx+c

m=7

so y=7x+c

substitute (0,4) into y=7x+c

so 4=(7x0)+c

c=4

so y=7x+4

3 0
3 years ago
The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
Anit [1.1K]

Answer:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The n^{th} term of geometric sequence is given by:

a_n = ar^{n-1}

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}

the first term can be calculated as:

16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128

Thus, the required geometric sequence is

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

4 0
3 years ago
Suppose you carry out a significance test of h0: μ = 8 versus ha: μ &gt; 8 based on sample size n = 25 and obtain t = 2. 15. Fin
OLEGan [10]

Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:

a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.

<h3>What is the relation between the p-value and the conclusion?</h3>

It also involves the significance level, as follows.

  • If the p-value is less than the significance level, we reject the null hypothesis h_0.
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In this problem, a t-distribution calculator for a right-tailed  with <em>t = 2.15 and 25 - 1 = 24 df</em> is used to find a p-value of 0.02.

It is less than 0.05, hence option a is correct.

More can be learned about p-values at brainly.com/question/26454209

5 0
2 years ago
Complete the table and draw the graph
Neko [114]

Answer:

So the vaule of y is 7, 10 & 13

Step-by-step explanation:

Given that y = 3x+1 . So we can just substitute x-value into the equation :

Let x=2,

y = 3(2)+1

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Let x=3,

y = 3(3)+1

= 10

Let x=4,

y = 3(4)+1

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