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3 years ago

Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 5.

Mathematics

2 answers:

Naddika [18.5K]3 years ago

4 0

The correct question is
Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^(2y) = 5

we have
2^(2y) = 5--------------> applying base 2 logarithm both members
2y*log2(2)=log2(5)
log2(2)=1
then
2y=log2(5)
y=[log2(5)]/2

using the graph
for x=5 the approximate value of log2(5) is 2.3
see the attached figure
so
y=[log2(5)]/2--------> y=[2.3]/2----------> y=1.15

the answer is
the approximate value of y is 1.15

Harrizon [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

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A poll finds that 54% of the 600 people polled favor the incumbent. Shortly after the poll is taken, it is disclosed that the in

Galina-37 [17]

Answer:

The value of z test statistics is 1.561.

Step-by-step explanation:

We are given that a poll finds that 54% of the 600 people polled favor the incumbent.

Shortly after the poll is taken, it is disclosed that the incumbent had an extramarital affair. A new poll finds that 50% of the 1030 polled now favor the incumbent.

Let $p_1$ = population proportion of people who favor the incumbent in the first poll

$p_2$ = population proportion of people who favor the incumbent in the second poll

So, Null Hypothesis, $H_0$ : $p_1\geq p_2$ {means that his support has increased or remained same after the second poll}

Alternate Hypothesis, $H_0$ : $p_1 < p_2$ {means that his support has decreased after the second poll}

The test statistics that would be used here is Two-sample z test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of people who favor the incumbent in first poll = 54%

$\hat p_1$ = sample proportion of people who favor the incumbent in second poll = 50%

$n_1$ = sample of people in first poll = 600

$n_2$ = sample of people in second poll = 1030

So, the test statistics = $\frac{(0.54-0.50)-(0)}{\sqrt{\frac{0.54(1-0.54)}{600}+\frac{0.50(1-0.50)}{1030} } }$

= 1.561

Hence, the value of z test statistics is 1.561.

6 0

3 years ago

Evaluate. 4.3 + 2.75 A. 2.78 B. 3.18 C. 7.05 D. 7.5

miv72 [106K]

1. Set up the long addition.
4.30 + 2.75
2. Calculate 0 + 5, which is 5.
4.30 + 2.75 = 5
3. Calculate 3 + 7, which is 10.
since 10 is two-digit, we carry the first digit 1 to the next column
1
4.30 + 2.75 = 05
1
4.30 + 2.75 = 7.05
5. Therefore, 4.3 + 2.75 = 7.05.
7.05

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3 years ago

Sabeena had 15 3/4m long ribbon. She cut into two pieces such that the length of one pieces is 9 1/2m. Find the length of other

DochEvi [55]

Answer:

6 1/4

Step-by-step explanation:

Total length of the ribbon= 15 3/4 m= 63/4 m

One piece= 9 1/2 m= 19/2 m

Other piece length =X

X= 63/4-19/2

=63/4-38/4

=25/4

=6 1/4

3 0

3 years ago

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If abc=dbc, then b is the midpoint of ad

Verdich [7]

The answer is true for apex

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3 years ago

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balu736 [363]

Answer:

3,724 cubic inches

Step-by-step explanation:

All you have to do is multiply 19•14•14

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3 years ago