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GaryK [48]
2 years ago
13

What is the value of k?

Mathematics
1 answer:
Flura [38]2 years ago
7 0

Answer:

k=10

Step-by-step explanation:

If you need me to explain, just comment below but heres my work:

180-115=65

(4k+5)+(6k+10)+65 = 180

10k+80=180

10k=100

k=10

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Find the volume of this the sphere round to the nearest tenth 7in [?]in*3
Lyrx [107]

Answer:

1436.8

Step-by-step explanation:

4/3×π×7³

= 1372π/3

≈ 1436.8

Answered by GAUTHMATH

5 0
2 years ago
What two numbers add to 9 and multiply to -70
Alborosie
X, y - the numbers

The numbers add to 9 and multiply to -70.
x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
-x^2+14x-5x+70=0 \\
-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)

The numbers are -5 and 14.
4 0
3 years ago
Complete the equation: 96 in =<br> yd.
disa [49]

Answer:

2.666666667

Step-by-step explanation:

12in=1ft

3ft=1yd

96/12=8

8/3=2.666666667

3 0
3 years ago
Please help me solve this
stiv31 [10]

Answer:

1/6

Step-by-step explanation:

First you make the denominator on the fractions the same

3 * 2 = 6

Multiply the number the same for the numerator

3 * 1 = 3

so the fraction is 3/6 since 3/6 = 1/2

4/6 - 3/6 = 1/6

she has 1/6 pipe left

6 0
3 years ago
Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 137.1 ft an
Rama09 [41]

Answer:

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 137.1, \sigma = 3.2

A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 132.3. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{132.3 - 137.1}{3.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

This is 1 subtracted by the pvalue of Z when X = 143.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{143.5 - 137.1}{3.2}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

7 0
3 years ago
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