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34kurt
2 years ago
4

Olga tried to solve an equation step by step

Mathematics
2 answers:
PtichkaEL [24]2 years ago
8 0

Answer:

made a mistake in step 3

Step-by-step explanation:

from step2; 1/3k=15 then making k the subject ,k=15*3 so the value of k will be 45

sladkih [1.3K]2 years ago
8 0

Answer:

step 3

Step-by-step explanation:

she should have multiplied 15 x 3=45

k=45

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A random group of high school and college students were asked if they study with or without listening to music. The frequency ta
valkas [14]
Its - <span>If someone prefers to study with music, the probability the person is in HS is about 44% and <span>The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.</span> </span>
4 0
2 years ago
Read 2 more answers
Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bou
LenKa [72]
3x + 4y = 32....multiply by 5
5x + 5y = 50...multiply by -3
---------------
15x + 20y = 160 (result of multiplying by 5)
-15x - 15y = -150 (result of multiplying by -3)
--------------add
5y = 10
y = 10/5
y = 2

3x + 4y = 32
3x + 4(2) = 32
3x + 8 = 32
3x = 32 - 8
3x = 24
x = 24/3
x = 8

solution (8,2)

The students conclusion is incorrect......it is answer choice 1



4 0
2 years ago
(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probabi
ololo11 [35]

Answer:

C. Probability is 0.90, which is inconsistent with the Empirical Rule.

Step-by-step explanation:

We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.

First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:

z=\frac{x-\mu}{\sigma}

z=\frac{87.5-97.5}{6.1}

z=\frac{-10}{6.1}

z=-1.6393

z\approx-1.64

z=\frac{x-\mu}{\sigma}

z=\frac{107.5-97.5}{6.1}

z=\frac{10}{6.1}

z=1.6393

z\approx 1.64

Now, we need to find the probability P(-1.64.

Using property P(a, we will get:

P(-1.64

From normal distribution table, we will get:

P(-1.64

P(-1.64

P(-1.64

Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.

6 0
2 years ago
Amanda is placing an order for running shoes and leather boots for her footwear boutique. She needs a total of 48 pairs of shoes
Basile [38]

Constraint 1:

Let the total number of running shoes be = R

Let the total number of leather boots be = L

As the given number of total shoes are 48,

The equations becomes,

R + L = 48............(1)

Constraint 2:

As running shoes are twice the leather boots, equation becomes,

R = 2L..............(2)

Putting the value of R from equation(2) in equation (1)

2L+ L=48

3L=48

L=16

Now putting the value of L in equation(2)

R= 2L

R = 2*16

R=32

Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.

4 0
2 years ago
1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880
zzz [600]

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

Remember that

1\ ft=12\ in

we have

r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft

assume

\pi =3.14

substitute

V=(3.14)(6)^{2}(\frac{13}{6})

V=244.92\ ft^3

Compare with 251 cubic feet

244.92\ ft^3 < 251\ ft^3

therefore

Yes, the water tank is about 245 cubic feet too small

8 0
2 years ago
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