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AveGali [126]
3 years ago
6

Lenny's dog Roo loves dog biscuits. Lenny buys two different flavors and feeds them to Roo in the ratio represented in the tape

diagram.
Pumpkin:3
Liver:4

Based on the ratio, how many pumpkin biscuits should Lenny buy when he buys 24 liver biscuits?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

18 pumpkin biscuits

Step-by-step explanation:

4:3 * 6 = 24:18

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709,189<br> +348,987<br> ________
Leni [432]

Answer: 1058176

check:

1058176 - 709,189= 348,987

6 0
3 years ago
Math help questions <br>​
Evgen [1.6K]

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of \$800 \times 1.07^t.

We want the find the number of years n such that

\$856 \times 1.07^n = \$1400

Solve for n :

856 \times 1.07 ^n = 1400

1.07^n = \dfrac74

\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)

n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)

n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}

4 0
2 years ago
Read 2 more answers
(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX
pochemuha

Answer:

(a) 0.7967

(b) 0.6826

(c) 0.3707

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and  variance <em>σ</em>² = 36.

(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z

Thus, the value of P (X > 16) is 0.1587.

**Use a <em>z</em>-table for the probabilities.

8 0
3 years ago
Susan learns that 6% of the freshman class are in the band, 11% are in the chorus, and 19% are in sports. If no freshman is part
JulijaS [17]
6/100+11/100+19/100= 36/100. 36/100 in simplest form is 9/25
7 0
3 years ago
Which binomial is equivalent to (6x + 5y)(6x − 5y)?
lesya [120]

Answer:

\large\boxed{C)\ 36x^2-25y^2}

Step-by-step explanation:

\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\(6x+5y)(6x-5y)=(6x)^2-(5y)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=6^2x^2-5^5y^2=36x^2-25y^2

7 0
3 years ago
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