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marshall27 [118]

2 years ago

7

A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write

a multiplication problem. How many students have pets?

1 answer:

katen-ka-za [31]2 years ago

5 0

24 × 5/8 = 15, you can cross multiply by doing x/24 = 5/8 And solve for x

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

<em>Degrees of freedom ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ = 3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago

What is the measure of angle A'B'C?

Agata [3.3K]

All Angles Added: 180

Measures of Idiviudual Angles

A=70 C=70 B=40

-------------------------------------------------------------------------------

Step-by-step explanation:

All angles of a triangle when combined must equal 180 degrees.

Since the triangle is an isosceles triangle, at least 2 sides must be congruent meaning that A=C since the triangle is not equilateral.

3 0

3 years ago

Find the y-intercept<br> - 74 - 7y = -7%

harkovskaia [24]

Answer: -75

Step-by-step explanation:

3 0

2 years ago

Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

3 years ago

How do you solve 3/5 times 2/3

UkoKoshka [18]

Hello! And thank you for your question!

First use the rule: A/b x c/d = ac/bd

3 x 2 over 5 x 3

Simplify 3 x 2:

6 over 5 x 3

Simplify 5 x 3:

6/15

Simplify further:

2/5

Final Answer:

2/5

3 0

2 years ago