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3 years ago

3x:10 = 5:2 calculate the value of x

Mathematics

1 answer:

djverab [1.8K]3 years ago

4 0

Answer:

x = $\frac{25}{3}$

Step-by-step explanation:

Express the ratio in equivalent fraction form, that is

$\frac{3x}{10}$ = $\frac{5}{2}$ ( cross- multiply )

6x = 50 ( divide both sides by 6 )

x = $\frac{50}{6}$ = $\frac{25}{3}$

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as and x,y point

Likurg_2 [28]

The equation of the parabola in the vertex form is y = (x - 3 $)^{2}$ - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

In the above question, A parabolic equation is given as follows:

Y = x^2 - 6x + 4

The equation of the parabola in the vertex form is :

y = a (x - h $)^{2}$ + k

Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex

So, in order to obtain this form, we will use the method of completing square :

Y = x^2 - 6x + 4

y = $x^{2}$ - 6x + (9 -9) + 4

y = (x - 3 $)^{2}$ + ( -9 + 4)

y = (x - 3 $)^{2}$ - 5

where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier

Hence, The equation of the parabola in the vertex form is y = (x - 3 $)^{2}$ - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

To learn more about, parabola, here

brainly.com/question/21685473

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8 0

1 year ago

What number is 9 more than 45

MissTica

Its 54
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8 0

3 years ago

Read 2 more answers

So this should be one of the last few ones

sergeinik [125]

Answer:

Step-by-step explanation:

Because you have to use the Pythagorean theorem to solve for this.

8 0

2 years ago

The mean MCAT score 29.5. Suppose that the Kaplan tutoring company obtains a sample of 40 students with a mean MCAT score of 32.

Paul [167]

Answer:

We conclude that the students that took the Kaplan tutoring have a mean score greater than 29.5.

Step-by-step explanation:

We are given that the Kaplan tutoring company obtains a sample of 40 students with a mean MCAT score of 32.2 with a standard deviation of 4.2.

Let $\mu$ = population mean score

So, Null Hypothesis, $H_0$ : $\mu \leq$ 29.5 {means that the students that took the Kaplan tutoring have a mean score less than or equal to 29.5}

Alternate Hypothesis, $H_A$ : $\mu$ > 29.5 {means that the students that took the Kaplan tutoring have a mean score greater than 29.5}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean MCAT score = 32.2

s = sample standard deviation = 4.2

n = sample of students = 40

So, the test statistics = $\frac{32.2-29.5}{\frac{4.2}{\sqrt{40} } }$ ~ $t_3_9$

= 4.066

The value of t-test statistics is 4.066.

Now, at 0.05 level of significance, the t table gives a critical value of 1.685 at 39 degrees of freedom for the right-tailed test.

Since the value of our test statistics is more than the critical value of t as 4.066 > 1.685, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the students that took the Kaplan tutoring have a mean score greater than 29.5.

3 0

3 years ago

A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/8 cup of brown sugar.

NeTakaya

Answer:

(a) 2 3/8 cups

(b) 3-cup

Step-by-step explanation:

1 1/2 + 3/4 + 1/8

The common denominator is 8

1 4/8 + 6/8 + 1/8 = 1 11/8 = 2 3/8 cups

I choose 3-cup mixing bowl since it fits 2 3/8 cups ingredients.

6 0

3 years ago