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3 years ago

Can Someone Help me, pls?

Mathematics

2 answers:

vesna_86 [32]3 years ago

6 0

Answer:

6.25 <7

Step-by-step explanation:

aalyn [17]3 years ago

3 0

Answer:

(1) $x\leq 4$

(2) $x\geq 4$

Step-by-step explanation:

$\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4$ $-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4$

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A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

$\hat{y} = 50.57+0.4845x$

Comparing the equation to a linear equation:

$y = mx + c$

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845$

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0

4 years ago

Evaluate the exact value: tan(pi/6)

Sedbober [7]

Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

4 0

3 years ago

Read 2 more answers

A recipe calls for 120 mL of milk for each 200 g of flour.Juan is going to use 1 pound of flour. Estimate the number cups of mil

Ratling [72]

Answer:

<u>1 cup</u> of milk Juan should use.

Step-by-step explanation:

Given:

A recipe calls for 120 ml of milk for each 200 g of flour.

Juan is going to use 1 pound of flour.

Now, to estimate the number of cups of milk.

Let the quantity of milk be $x.$

Now, to convert the pound of flour to gram.

1 pound = 453.59 g.

So, Juan is going to use 453.59 g of flour.

As, given recipe calls for 120 ml of milk for each 200 g of flour.

So, 120 ml is equivalent to 200 g.

Thus, $x$ is equivalent to 453.59 g.

Now, to solve by using cross multiplication method:

$\frac{120}{200} =\frac{x}{453.59}$

By cross multiplying we get:

$54430.8=200x$

Dividing both sides by 200 we get:

$272.154=x$

$x=272.154$

The quantity of milk = 272.154 ml.

Now, converting the quantity into cups by conversion factor:

1 ml = 0.004 cup.

So, 272.154 ml of milk is:

272.154 × 0.004

=1.088 cups.

Estimating the number = 1 cup.

Therefore, 1 cup of milk Juan should use.

7 0

3 years ago

Three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start f

KengaRu [80]

Answer:

$5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}$

Step-by-step explanation:

Represent the friends with A, B and C

$A = 5\frac{13}{30}$

$B = 5\frac{1}{6}$

$C = 5\frac{68}{90}$

Required

Order from least to highest

First, we convert the given parameters to decimal

$A = 5\frac{13}{30}$

$A = 5 + \frac{13}{30}$

$A = 5 + 0.43$

$A = 5.43$

$B = 5\frac{1}{6}$

$B = 5 + \frac{1}{6}$

$B = 5 + 0.17$

$B = 5.17$

$C = 5\frac{68}{90}$

$C = 5 + \frac{68}{90}$

$C = 5 + 0.76$

$C = 5.76$

So, we have:

$A = 5.43$ $B = 5.17$ $C = 5.76$

Order from least to greatest

$B = 5.17$ $A = 5.43$ $C = 5.76$

Replace them with the original values

$B = 5\frac{1}{6}$ $A = 5\frac{13}{30}$ $C = 5\frac{68}{90}$

Hence, the correct order is:

$5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}$

5 0

3 years ago

Read 2 more answers

Find all solutions in the interval [0, 2π).<br><br> 4 sin2 x - 4 sin x + 1 = 0

eimsori [14]

ANSWER

$x = \frac{\pi}{6} \: or \: x = \frac{5\pi}{6}$

EXPLANATION

The given trigonometric equation is

$4 \sin ^{2} x - 4 \sin(x) + 1 = 0$

This is a quadratic equation in sinx.

We split the middle term to obtain,

$4 \sin ^{2} x - 2 \sin(x) - 2 \sin(x) + 1 = 0$

Factor by grouping to get,

$2 \sin(x) (2 \sin(x) - 1) - 1(2 \sin(x) - 1) = 0$

This implies that,

$(2 \sin(x) - 1)(2 \sin(x) - 1) = 0$

$\sin(x) = 0.5$

This gives us,

$x = \frac{\pi}{6}$

in the first quadrant.

$x = \pi - \frac{\pi}{6}$

$x = \frac{5\pi}{6}$

in the second quadrant.

8 0

3 years ago

Read 2 more answers