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3 years ago

Sam buys 20 boxes of oranges.

1 answer:

7 0

2/5 of 500= 200 times 0.40=£80
the rest 500-200=300
3 oranges for 50p. 100 times 0.5 =£ 50 over £130
Sam made a loss (140-130=£10)

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EXPERTS/ACE/TRUSTED HELPERS

SVETLANKA909090 [29]

ST and WX are the same lines

4 0

4 years ago

Read 2 more answers

Suppose that several insurance companies conduct a survey. They randomly surveyed 350 drivers and found that 280 claimed to alwa

KATRIN_1 [288]

Answer:

Lower limit = 0.76

Upper limit = 0.84

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 350

Number of drivers that buckle = 280

Formula:

$p' = \dfrac{x}{n} = \dfrac{280}{350} = 0.8$

$q' = 1-p' = 1 - 0.8 = 0.2$

The standard deviation for sp =

$=\sqrt{\displaystyle\frac{p'q'}{n}}\\\\=\sqrt{\dfrac{0.8\times 0.2}{350}} = 0.02138$

95% Confidence Interval:

$p' \pm z_{critical}(s_p)$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get,

$0.8 \pm 1.96(0.02138)\\= 0.8 \pm 0.0419048\\=(0.7580952, 0.8419048)\\\approx (0.76,0.84)$

Lower limit = 0.76

Upper limit = 0.84

3 0

3 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

HELP ME PLEASE! (25 POINTS!)

kumpel [21]

Answer:

Step-by-step explanation:

$60 * 3% = $1.80

y = 1.80x + $60

12 * 2 = 24

24 = x

y = 1.80(24) + $60

y = $43.20 + $60

y = $103.20

4 0

3 years ago

Factor the following perfect square trinomials

Lorico [155]

Answer:

1) (m+3)2

2) (b+6)2

3) (3n−2)^2

Step-by-step explanation:

3 0

3 years ago