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2 years ago

Solve for x Is a short response

Mathematics

2 answers:

ella [17]2 years ago

8 0

The answer for X will equal 1/4 :)

jasenka [17]2 years ago

7 0

Answer:

x = 1/4

Step-by-step explanation:

$log_{x}$ 16 = 2 can be written as $16^{x}$ = 2

( $2^{4}$ )^x = 2^1

if bases are the same we can create this equation: 4x = 1

x = 1/4

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A business rents bicycles and in-line skates. Bike rentals cost $25 a day and skates cost $20 a day. The business had 20 rentals

Lena [83]

25x+20y=455
x+y=20

20x+20y=400
-25x-20y=-455
-5x=-55
x=11
11+y=20
y=9

Solved it as well, sorry if I wasn't supposed to

6 0

3 years ago

Find the lengths of the segments with variable expressions.

Luba_88 [7]

Answer:

Step-by-step explanation:

By the trapezoid midsegment theorem,

2x = (x-6) + (2x-8)

2x = x - 6 + 2x - 8

2x = 3x - 14

x = 14

So we know AD = 8, EF = 14, and BC = 20

8 0

2 years ago

A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected

bija089 [108]

Solution:

we are given that

A jury pool consists of 50 potential jurors.

Wee have been asked to find the number of ways can a jury of 12 be selected.

As we know from the concept of combination that r person can be selected out of n in ncr ways. where

$n_C_r=\frac{n!}{r!(n-r)!}$

Now substitute the values we get

${50}_C_{12}=\frac{50!}{12!(50-12)!}\\
\\
{50}_C_{12}=\frac{50!}{12!38!}\\
\\
{50}_C_{12}=121399651100\\$

Hence the required number of ways is 121399651100

5 0

2 years ago

Circle the value of the meaning of the underlined 572 underline is the 5

vekshin1

the 5 is in the hundreds place, the 7 is in the tens place and the 2 is in the ones place

8 0

2 years ago

A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The obse

grandymaker [24]

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: $z_c$

Test statistic: z

If $|z| < |z_c|$ , we do not reject the null hypothesis.

If $|z| > |z_c|$ , we reject the null hypothesis.

In this question:

$z_c = 1.96, z = -2.05, |z| = 2.05$

Since $|z| > |z_c|$ , we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

4 0

2 years ago