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viva [34]
2 years ago
15

15. 12 kg çilekten 6 kg reçel

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

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Find two consecutive integers whose product is 24 more than three times the first integer
gregori [183]
X= first integer
x+1= second consecutive integer

Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.

x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6

x+4=0
x=-4

If x= 6 is the first integer, x+1= 7 is the second integer

If x= -4 is the first integer, x+1= -3 is the second integer


Hope this helps! :)
7 0
3 years ago
Serena bought 3/4 pound of cheese. She used 2/3 of the cheese for sandwiches.
erik [133]
So,

Serena starts with three fourths pounds of cheese, and uses two thirds of it.  That is equivalent to the following expression:

\frac{3}{4} * \frac{2}{3} =  \frac{3 * 2}{4 * 3} =  \frac{2 * 3}{2 * 2 * 3}

Cross-cancel.
\frac{1}{2}

Serena used one-half pound of cheese.

The correct option is C.
7 0
3 years ago
Read 2 more answers
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location,
atroni [7]

Step-by-step explanation:

6 customers per hour =1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad (given mean)

Pdf is given by: f(x)=\frac{1}{\beta} e^{-x / \beta}, 0

Pdf: f(x)=\frac{1}{10} e^{-x / 10}, \quad 0

P(X \leq x)=1-e^{(-x / 10)} \quad for x>0 \Longrightarrow P(X>x)=e^{-x / 10}

a)
\begin{array}{c}
P(X

\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

6 0
3 years ago
Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()
lys-0071 [83]

C=C' - 81/2 In 9

hope it helps:))

3 0
3 years ago
Amber has a bag of 24 marbles.7 are red, 5 are blue, and the rest are green.James takes two marbles out without replacing them.
malfutka [58]

Answer: \frac{5}{138}

Step-by-step explanation:

Given

Amber has 24 marbles

7 are red, 5 are blue,

\Rightarrow24-12=12 is green

\text{Probability}=\text{chosing a blue marble out of 24 }\times \text{Chosing another blue out of 23}\\P=\frac{5}{24}\times \frac{4}{23}=\frac{5}{138}

8 0
3 years ago
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