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3 years ago

A survey conducted at an ice cream store asked only mothers

Mathematics

1 answer:

Alecsey [184]3 years ago

3 0

Answer:

B. Biased Sample.

Step-by-step explanation:

The population is not only made of mothers, but there are fathers, sons, daughters, brothers and sisters, and a lot of other people. By selecting only mothers, it gears the survey to be biased towards a certain type of thinking.

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5.7x10^6 as an ordinary number

Andrew [12]

Answer:

5700000

Step-by-step explanation:

8 0

2 years ago

In ΔPQR, the measure of ∠R=90°, the measure of ∠P=26°, and PQ = 8.5 feet. Find the length of QR to the nearest tenth of a foot.

Vitek1552 [10]

Answer:

3.7feet

Step-by-step explanations

Using the sin rule

A/sin a = B/sin b

Let A = PQ = 8.5feet

B = QR = x feet

a = R = 90°

b = P = 26°

Substitute the values into the Sin rule

8.5/sin90 = x/sin26

8.5×sin 26 = x × sin 90

8.5×0.4383 = x× 1

3.7255 = x

Hence the length of QR to the nearest tenth 3.7feet

5 0

3 years ago

Read 2 more answers

Find the area of a right triangle with a base of 38 cm and height of 26 cm.

meriva

Answer:

494cm²

Step-by-step explanation:

A=hbb/2

=26*38/2= 494cm²

6 0

3 years ago

Read 2 more answers

Given rectangles LMNO and PQRS, which statement explains a way to determine if the two figures are similar?

allochka39001 [22]

Answer:

Step-by-step explanation:

<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.

For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.

Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).

Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.

Option B is true according to definition.

3 0

3 years ago

Read 2 more answers

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

4 0

3 years ago